Causes of variation that can be identified and eliminated are called what?
Answers
The causes of variation that can be identified and eliminated are called; Assignable Causes.
What are the causes of Variation?There are two primary causes of variation in the quality of a product or process. These two primary causes are called;
Common causes.Assignable causes.Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.
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Related Questions
EAsy MATHHHHHHHHHHHH
Answers
Answer:
1, 1
Step-by-step explanation:
It is 7x3= 21 then 7x5= 35+2=37 which gets you 371. Next 6x3=18 then 6x5= 30+ 1 which gets you 3,180
Answer:
Step-by-step explanation:
371
and
3180
i hope its correct
how many times does 70 go into 2,800
Answers
Answer:
40
Step-by-step explanation:
Answer:
40
here is the awnser buddy I hope it's right
-10-1/7x^3+4x in standard form
Answers
negative 10 minus 1 over 7 x akar pangkat 3 plus 4 x
To write the expression -10 - 1/7x^3 + 4x in standard form, we need to arrange the terms in decreasing order of their exponents.
The standard form of a polynomial is:
ax^n + bx^(n-1) + ... + kx^2 + lx + m
where a, b, ..., l, and m are constants, and n is the degree of the polynomial.
So let's start by simplifying -1/7x^3 + 4x:
-1/7x^3 + 4x = -1/7x^3 + 28/7x = (28/7 - 1/7x^3)x
Now we can write the expression in standard form:
-1/7x^3 + 4x - 10 = (-1/7)x^3 + 4x - 10
The degree of the polynomial is 3, and the leading coefficient is -1/7.
express the ratio of 3 : 1.5 : 4 in the simplest form
Answers
Answer:
0.5
Step-by-step explanation:
3÷1.5÷4=0.5 is answer or 1/2
A function fis defined by; f(x)=x2+4x+5 then find the value of
f(2).
Answers
Answer:
f(x)=17
Step-by-step explanation:
f(x)=(2)2+4(2)+5
=4+8+5
=17
f(x)=17
Answer:
f(2) = 17
Step-by-step explanation:
f(2) - sub in the number 2 in x
(2)² + 4(2) + 5
4 + 8 + 5
f(2) = 17
Jerry makes souvenirs to sell in his shop. For one batch of souvenirs, he spends 200 dollars for materials and hopes to make 1,000 dollars in profit. He writes the equation pn−200=1,000 to represent the price, p, in dollars, for each souvenir and the number of souvenirs, n, that he needs to sell to make 1,000 dollars in profit. He knows that he can make at most 400 souvenirs from the materials. Which statement BEST describes the price Jerry must charge for each souvenir in order to make 1,000 dollars in profit?
I NEED HELP ASAP!!!!!!!!!! PLZZZZZZZZZZ
Answers
Answer:
he must charge at least $3 for each souvenir.
Step-by-step explanation:
7/9 divided by (-2 5/8)=
Answers
Answer:
−
7
9
÷
(
−
2
5
8
)
Convert
2
5
8
to an improper fraction.
Tap for more steps...
−
7
9
÷
(
−
21
8
)
To divide by a fraction, multiply by its reciprocal.
−
7
9
(
−
8
21
)
Cancel the common factor of
7
.
Tap for more steps...
−
1
9
⋅
−
8
3
Multiply
−
1
9
by
−
8
3
.
−
−
8
9
⋅
3
Multiply.
Tap for more steps...
8
27
The result can be shown in multiple forms.
Exact Form:
8
27
Decimal Form:
0.
¯¯¯¯¯¯
296−
7
9
÷
(
−
2
5
8
)
Convert
2
5
8
to an improper fraction.
Tap for more steps...
−
7
9
÷
(
−
21
8
)
To divide by a fraction, multiply by its reciprocal.
−
7
9
(
−
8
21
)
Cancel the common factor of
7
.
Tap for more steps...
−
1
9
⋅
−
8
3
Multiply
−
1
9
by
−
8
3
.
−
−
8
9
⋅
3
Multiply.
Tap for more steps...
8
27
The result can be shown in multiple forms.
Exact Form:
8
27
Decimal Form:
0.
¯¯¯¯¯¯
296−
7
9
÷
(
−
2
5
8
)
Convert
2
5
8
to an improper fraction.
Tap for more steps...
−
7
9
÷
(
−
21
8
)
To divide by a fraction, multiply by its reciprocal.
−
7
9
(
−
8
21
)
Cancel the common factor of
7
.
Tap for more steps...
−
1
9
⋅
−
8
3
Multiply
−
1
9
by
−
8
3
.
−
−
8
9
⋅
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Multiply.
Tap for more steps...
8
27
The result can be shown in multiple forms.
Exact Form:
8
27
Decimal Form:
0.
¯¯¯¯¯¯
296
Step-by-step explanation:
To find the distance across a river, a surveyor choose points A and B, which are 225 m apart on one side of the river. She then chooses a reference point C on the opposite side of the river and finds that ∠BAC≈81° and ∠ABC≈56∘ . NOTE: The picture is NOT drawn to scale. Approximate the distance from point A to point C. distance =m Find the distance across the river. height = m Enter your answer as a number; your answer should
Answers
The approximate distance from point A to point C across the river is 161.57 meters. This is calculated using the Law of Sines with the angles and side lengths of the triangle.
To determine the distance across the river, we can use the Law of Sines.
In triangle ABC, we have:
sin(∠BAC) / BC = sin(∠ABC) / AC
sin(81°) / 225 = sin(56°) / AC
Rearranging the equation, we have:
AC = (225 * sin(56°)) / sin(81°)
Using a calculator, we can evaluate this expression:
AC ≈ 161.57
Therefore, the approximate distance from point A to point C is 161.57 meters.
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The equation 3.5x + 1.5y = 21 represents the cost for a family to
attend a play where x is the number of adults and y is the number of
children. Find the intercepts and interpret the meaning of each one.
PLEASE HELP ASAP
Answers
Answer:
Hey there!
The x-intercept is (6,0) meaning that if no children attend, 6 adults will attend.
The y-intercept is (0,14) meaning that if no adults attend, 14 children will attend.
Let me know if this helps :)
The x-intercept is (6,0) and y-intercept is (0,14).
What is x-intercept?x-intercept for "any curve is the value of x-coordinate at the point where the graph cuts the x-axis".
What is y-intercept?
y-intercept for "any any curve is the value of y-coordinate at the point where the graph cuts the y-axis".
According to the question,
3.5x + 1.5y =21
Let 'x' is the number of adults and 'y' is the number of children.
To find x-intercept put y=0.
3.5x + 1.5(0) = 21
3.5x = 21
x = 21/3.5 =6.
To find y-intercept put x=0
3.5(0) + 1.5(y) = 21
y = 21/1.5 = 14.
x-intercept (6,0) if no children attend the play then 6 adult attend the play. y - intercept (0,14) if no adult attend the play then 14 children attend the play.
Hence, The x-intercept is (6,0) and y-intercept is (0,14).
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why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
Answers
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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I need to do this no silly answers tho I’ll mark ❗️Brainlyist❗️ if answered correctly!!!
Answers
Answer:
that will be 270 ÷ 3 boy.....
Answer:
A
Step-by-step explanation:
\(3x \geqslant 270 \\ x \geqslant \frac{270}{3} \\ x \geqslant 90\)
A cup of Kool-Aid has a mass of 700 grams. The cup by itself has a mass of 80 grams. If the cup has a diameter and a height of 8 cm, what is the density of the Kool-Aid?
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I need to know if it’s a, b, c or d
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The general equation of a circle is
\((x-h)^2+(y-k)^2=r^2\)Here, (h,k) is the center of the circle and r is the radius of the circle.
change the given equation into the general form as follows:
\((x-0)^2+(y-0)^2=5^2\)So, the center is (0,0) and the radius is r = 5.
Chef amy does beginning inventory on thursday night and finds that she has $4194 in food products in the restaurant. throughout the week she purchases: $2088 produce, $1678 meat, $870 dry goods, and $3914 dairy. the following thursday she does ending inventory and finds that she has $3464 in food. she looks at her sales and finds that she made $30541 over the same 7 day period. what is her total food cost?
Answers
If Chef amy does beginning inventory on thursday night and finds that she has $4194. Her total cost is:$9280.
Total costUsing this formula
Total cost=Beginning inventory+ Purchases- Ending inventory
Let plug in the formula
Total cost=$4194+($2088+$1678+$870+$3914)-$3464
Total cost=$4194+$8550-$3464
Total cost=$9280
Therefore her total cost is:$9280.
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Consider the function f(x,y)=2x2−4x+y2−2xy subject to the constraints x+y≥1xy≤3x,y≥0 (a) Write down the Kuhn-Tucker conditions for the minimal value of f. (b) Show that the minimal point does not have x=0.
Answers
The minimal point does not have x = 0.
(a) Kuhn-Tucker conditions for the minimal value of fThe Kuhn-Tucker conditions are a set of necessary conditions for a point x* to be a minimum of a constrained optimization problem subject to inequality constraints. These conditions provide a way to find the optimal values of x1, x2, ..., xn that maximize or minimize a function f subject to a set of constraints. Let's first write down the Lagrangian: L(x, y, λ1, λ2, λ3) = f(x, y) - λ1(x+y-1) - λ2(xy-3) - λ3x - λ4y Where λ1, λ2, λ3, and λ4 are the Kuhn-Tucker multipliers associated with the constraints. Taking partial derivatives of L with respect to x, y, λ1, λ2, λ3, and λ4 and setting them equal to 0, we get the following set of equations: 4x - 2y - λ1 - λ2y - λ3 = 0 2y - 2x - λ1 - λ2x - λ4 = 0 x + y - 1 ≤ 0 xy - 3 ≤ 0 λ1 ≥ 0 λ2 ≥ 0 λ3 ≥ 0 λ4 ≥ 0 λ1(x + y - 1) = 0 λ2(xy - 3) = 0 From the complementary slackness condition, λ1(x + y - 1) = 0 and λ2(xy - 3) = 0. This implies that either λ1 = 0 or x + y - 1 = 0, and either λ2 = 0 or xy - 3 = 0. If λ1 > 0 and λ2 > 0, then x + y - 1 = 0 and xy - 3 = 0. If λ1 > 0 and λ2 = 0, then x + y - 1 = 0. If λ1 = 0 and λ2 > 0, then xy - 3 = 0. We now consider each case separately. Case 1: λ1 > 0 and λ2 > 0From λ1(x + y - 1) = 0 and λ2(xy - 3) = 0, we have the following possibilities: x + y - 1 = 0, xy - 3 ≤ 0 (i.e., xy = 3), λ1 > 0, λ2 > 0 x + y - 1 ≤ 0, xy - 3 = 0 (i.e., x = 3/y), λ1 > 0, λ2 > 0 x + y - 1 = 0, xy - 3 = 0 (i.e., x = y = √3), λ1 > 0, λ2 > 0 We can exclude the second case because it violates the constraint x, y ≥ 0. The first and third cases satisfy all the Kuhn-Tucker conditions, and we can check that they correspond to local minima of f subject to the constraints. For the first case, we have x = y = √3/2 and f(x, y) = -1/2. For the third case, we have x = y = √3 and f(x, y) = -2. Case 2: λ1 > 0 and λ2 = 0From λ1(x + y - 1) = 0, we have x + y - 1 = 0 (because λ1 > 0). From the first Kuhn-Tucker condition, we have 4x - 2y - λ1 = λ1y. Since λ1 > 0, we can solve for y to get y = (4x - λ1)/(2 + λ1). Substituting this into the constraint x + y - 1 = 0, we get x + (4x - λ1)/(2 + λ1) - 1 = 0. Solving for x, we get x = (1 + λ1 + √(λ1^2 + 10λ1 + 1))/4. We can check that this satisfies all the Kuhn-Tucker conditions for λ1 > 0, and we can also check that it corresponds to a local minimum of f subject to the constraints. For this value of x, we have y = (4x - λ1)/(2 + λ1), and we can compute f(x, y) = -3/4 + (5λ1^2 + 4λ1 + 1)/(2(2 + λ1)^2). Case 3: λ1 = 0 and λ2 > 0From λ2(xy - 3) = 0, we have xy - 3 = 0 (because λ2 > 0). Substituting this into the constraint x + y - 1 ≥ 0, we get x + (3/x) - 1 ≥ 0. This implies that x^2 + (3 - x) - x ≥ 0, or equivalently, x^2 - x + 3 ≥ 0. The discriminant of this quadratic is negative, so it has no real roots. Therefore, there are no feasible solutions in this case. Case 4: λ1 = 0 and λ2 = 0From λ1(x + y - 1) = 0 and λ2(xy - 3) = 0, we have x + y - 1 ≤ 0 and xy - 3 ≤ 0. This implies that x, y > 0, and we can use the first and second Kuhn-Tucker conditions to get 4x - 2y = 0 2y - 2x = 0 x + y - 1 = 0 xy - 3 = 0 Solving these equations, we get x = y = √3 and f(x, y) = -2. (b) Show that the minimal point does not have x=0.To show that the minimal point does not have x=0, we need to find the optimal value of x that minimizes f subject to the constraints and show that x > 0. From the Kuhn-Tucker conditions, we know that the optimal value of x satisfies one of the following conditions: x = y = √3/2 (λ1 > 0, λ2 > 0) x = √3 (λ1 > 0, λ2 > 0) x = (1 + λ1 + √(λ1^2 + 10λ1 + 1))/4 (λ1 > 0, λ2 = 0) If x = y = √3/2, then x > 0. If x = √3, then x > 0. If x = (1 + λ1 + √(λ1^2 + 10λ1 + 1))/4, then x > 0 because λ1 ≥ 0.
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Determine the open intervals on which the graph of the function is concave upward or concave downward. f(x) = x^4 - 3x^3
Answers
The open intervals on which the graph of \(f(x) = x^4 - 3x^3\) is concave upward are (-∞, 0) and (3/2, ∞), and the open interval on which the graph of f(x) is concave downward is (0, 3/2).
What is graph?A graph is a visual representation of data, information, or functions. In mathematics, a graph typically refers to a set of points and lines or curves connecting them, which can be used to represent mathematical relationships and functions.
According to given information:To determine the intervals where the function \(f(x) = x^4 - 3x^3\) is concave upward or concave downward, we need to find the second derivative of the function, which gives us the concavity of the function.
\(f(x) = x^4 - 3x^3\\\\f'(x) = 4x^3 - 9x^2\\\\f''(x) = 12x^2 - 18x\)
For the function f(x) to be concave upward, f''(x) > 0, and for f(x) to be concave downward, f''(x) < 0.
So, we need to solve the inequality f''(x) > 0 and f''(x) < 0:
\(f''(x) > 0:\\\\12x^2 - 18x > 0\\\\6x(2x - 3) > 0\)
The critical points are x = 0 and x = 3/2. We can test each interval:
Interval (-∞, 0):
\(f''(-1) = 12(-1)^2 - 18(-1) = 30 > 0\), so f(x) is concave upward on this interval.
Interval (0, 3/2):
\(f''(1) = 12(1)^2 - 18(1) = -6 < 0,\) so f(x) is concave downward on this interval.
Interval (3/2, ∞):
\(f''(2) = 12(2)^2 - 18(2) = 12 > 0\), so f(x) is concave upward on this interval.
Therefore, the open intervals on which the graph of \(f(x) = x^4 - 3x^3\) is concave upward are (-∞, 0) and (3/2, ∞), and the open interval on which the graph of f(x) is concave downward is (0, 3/2).
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Tickets for an Amtrak train cost $21 for children and $49 for adults. Josie paid $3,332 for a total of 88 tickets. How many children tickets and how many adult tickets did Josie buy?
Answers
SOLUTION:
Case: System of equation word problem
Required: Find the number of adults and children tickets Josie bought.
First we create a system of equation. One for the total number of tickets, the other for the total cost of tickets.
Assumption: Let the number of adult tickets be a and the number of children tickets c.
Sytems of equations:
\(\begin{gathered} a\text{ + c= 88. (ticket equation)} \\ 49a\text{ + 21c = 3332. (Cost equation)} \end{gathered}\)Solving the system of equation, using substitution method
\(\begin{gathered} \text{Make c the isolated variable from ticket equation} \\ c=\text{ 88-a} \\ \text{Substitutute in Cost equation.} \\ 49a\text{ + 21c = 3332. } \\ 49a\text{ + 21(88-a) = 3332. } \\ 49a\text{ + 1848 - 21a = 3332. } \\ \text{Taking like terms} \\ 49a\text{ - 21a = 3332 - 1848} \\ 28a\text{ = }1484 \\ Divide\text{ both sides by 28} \\ a=53 \end{gathered}\)Next we find the value of c
\(\begin{gathered} We\text{ plug in the value }a\text{ in the isolated variable equation} \\ c=\text{ 88 - a} \\ c=\text{ 88 - 53} \\ c=\text{ 35} \end{gathered}\)Final answers:
The total number of children tickets bought were 35 WHILE
The total number of adult tickets bought were 53.
The volume of a sphere with a diameter of 6cm, rounded to the nearest tenth
Answers
V = (4/3) * π * (d/2)^3
where d is the diameter of the sphere and π is the mathematical constant pi (approximately equal to 3.14159).
Substituting the given value, we get:
V = (4/3) * π * (6 cm/2)^3
V = (4/3) * π * (3 cm)^3
V = 113.0973355 cubic centimeters
Rounding to the nearest tenth, we get:
V ≈ 113.1 cubic centimeters.
Answer:
113.1 cm³
Step-by-step explanation:
diameter = 2 X radius
Volume of sphere = (4/3) X π X r ³
= (4/3) π (3)³
= 36π
= 113.1 cm³ to nearest tenth
Question 7 Translate into a mathematical expression: 15 more than the sum of 5 and a number a. 15+(5-n) b. (5+n)+15 c. (5-n) + 15 d. 15+5n
Answers
15 more than the sum of 5 and a number a, when translated into a mathematical expression will become b. (5 + n) + 15.
An algebraic expression is a mathematical expression that can contain numbers, variables, and operations.
An algebraic expression can represent a specific value for a given value of the variable, and can be used to describe mathematical relationships and solve equations.
Algebraic expressions can be simplified, added, subtracted, multiplied and divided.
Algebraic expressions can also be represented in different forms, such as polynomials, rational expressions, exponential expressions and logarithmic expressions.
"15 more than the sum of 5 and a number a" can be represented algebraically as:
15 + (5 + a)
or
(5 + a) + 15
which can also be simplified as
a + 20
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Make q the subject of the formula 2(5q^2+1)=c
Answers
Try It! Write a Radical Expression
2. A cone has a slant height s equal to 5r. Simplify
the expression for h if r = 4.
Answers
The expression for h is h = 2 × √(99)
What is Pythagorean theorem?The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
What is expression?An expression is a combination of numbers, variables, and operations that can be evaluated to produce a value. Expressions can be as simple as a single variable, such as x, or complex, involving multiple variables, constants, and functions.
According to the given information:
We can use the Pythagorean theorem to relate the slant height, the radius, and the height of a cone:
s² = r² + h²
Since s = 5r and r = 4, we have:
s = 5r = 5(4) = 20
Plugging this into the equation above, we get:
20² = 4² + h²
Simplifying and solving for h, we have:
h² = 20² - 4² = 396
h = √(396) = √(4 × 99) = 2 ×√(99)
Therefore, the expression for h is h = 2 × √(99) when r = 4 and s = 5r.
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If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answers
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
Instructions: Interpret the function given in the context ofthe real-world situation described to answer the question.Nichole bought a new car. The depreciation equation isgiven by f(x) = 27,000(.86), where a representsthe number of years since the purchase of the car, andf(x) represents the value of the car. By what percentdoes Nichole's car depreciate each year?%
Answers
The depreciation equation is given by
\(f(x)=27000(0.86^x)\)where x represents the number of years. Here, the initial value of the car corresponds to x=0, then we have
\(\text{ initial value = f\lparen0\rparen=27000}\)After one year, the car value corresponds to x=1, that is,
\(\text{ after 1 year = f\lparen1\rparen=27000\lparen0.86}\rparen^1\text{=27000}\times0.86=\text{23220}\)Now, let's find the depreciation percentage by means of a rule of three:
\(\begin{gathered} 2700\text{ ----- 100 \%} \\ 23220\text{ ------- x} \end{gathered}\)so we have
\(x=\frac{23220\times100}{27000}=86\text{ \%}\)So the difference between 100% and 86% is 14% This means Nichole's car depreciate 14% each year
simplify the expression. write your answer without negative exponents. 9x5⁄2 y5 x4 y−3⁄2 −2
Answers
The expression on simplification without negative exponents gives: = \(9x^{4.5} y^{6.5} -2\)
Exponents are mathematical notations used to express a number as the power of another number. The number raised to the power is called the base, and the exponent indicates the number of times the base is used as a factor.
Product of powers: If a^m * a^n, where m and n are exponents and a is the base, then the result is a^(m+n).
Power of power: If (a^m)^n, where m and n are exponents and a is the base, then the result is a^(m * n).
The quotient of powers: If a^m / a^n, where m and n are exponents and a is the base, then the result is a^(m-n).
Zero exponents: a^0 = 1, where a is the base. For example, 2^0 = 1.
The expression can be simplified as follows:
\(9x^{5/2} y^{5} x^{4}y^{-3/2}-2\)
= \(9x^{\frac{9}{2} } y^{\frac{13}{2} } -2\)
= \(9x^{4.5} y^{6.5} -2\)
Therefore, The expression on simplification without negative exponents gives \(9x^{4.5} y^{6.5} -2\).
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An athlete runs around a circular track which has a diameter of 100 m how far does each lap around the track
Answers
my dudes could you help me cause im really bad at math heres the problem choose all the values that make the inequality true. 28-7x ≤ -4(-7x - 7) the options : -10 -5 0 5 10
Answers
Answer:
0, 5, 10
Step-by-step explanation:
You can solve the inequality to determine what values to select.
28 -7x ≤ -4(-7x -7) . . . . . . given
28 -7x ≤ 28x +28 . . . . . . eliminate parentheses*
-7x ≤ 28x . . . . . . . . . . . . . subtract 28 from both sides
0 ≤ 35x . . . . . . . . . . . . . . add 7x to both sides
0 ≤ x . . . . . . . . . . . . . . . . . divide by 35
So, all values that are 0 or greater will make the inequality true:
0, 5, 10
_____
* Parentheses are eliminated using the distributive property. The factor outside parentheses multiplies each of the terms inside. Pay attention to signs.
-4(-7x -7) = (-4)(-7x) +(-4)(-7) = 28x +28
. identify and discuss three (3) externalities, which can either be positive or negative. a. conclude why an externality might exist in the situation that you described and determine the solutions to mitigate these particular externalities.
Answers
The three externalities, which can either be positive or negative are Pollution from a factory, as more electricity is consumed, more coal is burned in power plants and vaccinations, such as the flu shot, can be advantageous for third parties.
The three externalities, which can either be positive or negative are:
1. Pollution from a factory can affect a community's quality of life and lead to health issues for the population.
2. As more electricity is consumed, more coal is burned in power plants, which contributes to pollution and causes smog, acid rain, and global warming.
3. Vaccinations, such as the flu shot, can be advantageous for third parties since they stop the spread of the illness in the general population, which has positive externalities.
These externalities arise because they provide a benefit or incur a cost to a third party, who may be a society or a consumer who is not using the service. Government intervention can address some of these issues in two ways:
(a) Command and control rules that impose direct restrictions on behavior, such as restricting smokestack emissions or the amount of toxic waste and outlining specific cleanup processes.
(b) Market-based policies that can encourage favorable externalities by offering market players incentives to reach the socially optimal level In order to reduce costs or boost production to improve demand and supply, the government can either provide subsidies to buyers or producers.
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When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.
Select all of the values that the number could be.
–4/3
1/2
–3/4
2
Answers
The equation is formed and solved below.
What is an equation?
A weighing scale, balance, or seesaw is equivalent to an equation. Each equation relates to a single side of the balance. Different quantities can be placed on either side: if the weights on both sides are equal, the scale balances, and the equality that displays the balance is balanced as well (if not, then the lack of balance corresponds to an inequality represented by an inequation). If two equations or two systems of equations have the same set of solutions, they are equivalent. The operations listed below convert an equation or a system of equations into an equivalent one, assuming that the operations are meaningful for the expressions to which they are applied.
The equation is 6(x)² + 5x = 4, which is solved below as
6x² - 5x - 4 = 0
or, 6x² - 8x + 3x - 4 = 0
or, 2x(3x-4) + 1(3x-4) = 0
or, (2x+1)(3x-4) = 0
either 2x + 1 = 0 => x = -1/2
or 3x - 4 = 0 => x = 4/3
The values could be -1/2 or 4/3
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What is the value of x in the figure below? In this diagram, AABD~ ACAD.
12
X
27
Answers
Step-by-step explanation:
Based on the information given in the diagram, we know that AABD and ACAD are similar triangles, which means their corresponding sides are proportional.
Let's denote the length of AD as x. According to the similarity of the triangles, we can set up the following proportion:
AB/AC = AD/AD
Since AD is common to both triangles and has a length of x, the proportion simplifies to:
AB/AC = 1
We are given that AB = 12, so we can substitute that value into the proportion:
12/AC = 1
To solve for AC, we can cross-multiply:
12 = AC
Therefore, the value of x in the figure is 12.
x+y+z+4-2√(x-2)-4√(y-3)-6√(z-5)=0
Answers
Answer:
Step-by-step explanation: