Answer:
y=-4/7x+2
Step-by-step explanation:
7y=14-4x
y=2-4/7x
(6-2x) +(15-3x) where x=0.2
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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)
Substituting \(\displaystyle\sf x=0.2\):
\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)
Simplifying the expression inside the parentheses:
\(\displaystyle\sf (6-0.4) +(15-0.6)\)
\(\displaystyle\sf 5.6 +14.4\)
Calculating the sum:
\(\displaystyle\sf 20\)
Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
I need help it will be quick pls
The solution of the inequality is option B (1 + 7/10) ≥ b
How to solve the inequality?We want to solve the inequality: 7/2 ≥ b + 9/5
To do so, we just need to isolate the variable b.
7/2 ≥ b + 9/5
Subtracting 9/5 in both sides we will get:
7/2 - 9/5 ≥ b
35/10 - 18/10 ≥ b
17/10 ≥ b
(1 + 7/10) ≥ b
The correct option is B
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what is a example of a false conditional statement and a true converse
Answer:
if you get good grades then you will not get into a good college
Step-by-step explanation:
Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.
10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves = StartFraction 65 over 6 EndFraction times StartFraction 2 over 5 EndFraction = StartFraction 130 over 30 EndFraction = 4 and one-third
When she checked the answer by estimating, it did not make sense. What error did Janice make?
Janice converted a mixed number to the wrong improper fraction.
Janice added the numerators and denominators instead of multiplying.
Janice did not change the division problem to multiplication.
Janice did not convert the improper fraction to a mixed number correctly in the answer.
Mark this and return
The error that Janice made is that she did not convert the improper fraction StartFraction 130 over 30 EndFraction to a mixed number correctly in her final answer.
The error that Janice made can be identified by analyzing her calculations. Let's examine each step she took:
Step 1: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds
In this step, Janice correctly converted the mixed number to an improper fraction, which becomes 10 and StartFraction 5 over 6 EndFraction = StartFraction 65 over 6 EndFraction.
Step 2: StartFraction 65 over 6 EndFraction divided by five halves
In this step, Janice attempted to divide the fractions. However, she made an error by adding the numerators and denominators instead of multiplying. This is incorrect. The correct operation for dividing fractions is to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of five halves is two fifths.
Step 3: StartFraction 65 over 6 EndFraction times StartFraction 2 over 5 EndFraction
Here, Janice multiplied the fractions correctly. The product of these fractions is StartFraction 130 over 30 EndFraction.
Step 4: StartFraction 130 over 30 EndFraction = 4 and one-third
In this step, Janice attempted to convert the improper fraction to a mixed number. However, she made another error in her calculation. The fraction StartFraction 130 over 30 EndFraction is not equal to 4 and one-third. The correct conversion would yield 4 and two-sixths or 4 and one-third.
Therefore, the error that Janice made is that she did not convert the improper fraction StartFraction 130 over 30 EndFraction to a mixed number correctly in her final answer.
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Will offer 50 points. Please answer.
343 is the answer. It is the answer
write a numerical expression to represent the phrase the sum of 25 and the cube of 9; evalute
Step-by-step explanation:
25 + 9³ = 25 + 81 = 106
remember, the cube of a number means to multiply it with itself 3 times (for a squared number that would be 2 times).
9³ = 9×9×9
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division
The value of the expression 25 + 9³ is 754.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The sum of 25 and the cube of 9.
This can be written as,
25 + 9³
= 25 + 729
= 754
Thus,
The value of the expression 25 + 9³ is 754.
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Use triangle ABC to find the following trigonometricratio write your answer as a fraction in as a decimal
Answer:cant seeStep-by-step explanation:
If you answer this for me you will get brainless
Answer:
50.27
Step-by-step explanation:
A=πr2=π·42≈50.26548
Question 5Look at the graph of the equation y = x2– 2x - 7.how does this graph compare with the graph of the equation in question 1?
We can rewrite the equation into its vertex form, as shown below
\(\begin{gathered} y=x^2-2x-7 \\ y=a(x-h)^2+k \\ \Rightarrow y=ax^2-2ah+ah^2+k \\ \Rightarrow\begin{cases}a=1 \\ -2ah=-2\Rightarrow h=1 \\ ah^2+k=-7\Rightarrow1+k=-7\Rightarrow k=-8\end{cases} \end{gathered}\)Therefore, the vertex form of y=x^2-2x-7 is
\(y=(x-1)^2-8\)On the other hand, the graph of the equation of question 1 seems to be the same graph like the one of the function y=x^2-2x-7. The y-intercept is the same (0,-7) and the vertex seems to be located on the same point (1,-8).
The two graphs are the same, only the scale changes.
These two graphs are the same.
Answer:
The graph is the same. Even though the equations have different forms, they are still equivalent.
Step-by-step explanation:
i re wrote it
If the probability of being hospitalized during a year is 0.25, find the probability that no one in a family of five will be
hospitalized in a year.
The probability that no one in a family of five will be hospitalized in a year 0.2373 .
Probability is a measure of the likelihood that an event will occur. Many events cannot be predicted with complete certainty. We can only predict the probability that an event will occur .Probabilities can range from 0 to 1. 0 means the event is not possible, 1 indicates the specific event. The formula for probability is given by P(E) + P'(E) = 1 ...(1) where P(E) is the event will happenLet P(E) denote the probability of being hospitalized during a year and P'(E) the probability of not being hospitalized during a year
Then , using equation (1) , we get
\(0.25+P'(E)=1\\P'(E)=1-0.25\\P'(E)=0.75\)
The probability that no one in a family of five will be hospitalized in a year is equal to \((P'(E))^n\) where n is the number of member .
\((P'(E))^n=(0.75)^5\\(P'(E))^n=0.2373\)
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10.
Which of the following is the maximum value of the function y = −2x2 + 5?
A. 0
B. 5
C. 25
D. −2
Answer:
Step-by-step explanation:
Hello, the answer in this case would have to be 5 as the vertex of the lowest point of 0.
Therefore x would have to be 0.
Answer:
A. 0
Step-by-step explanation:
Use the formula x = − b /2 a to find the maximum and minimum.
( 0 , 5 )
Write a function for the sinusoid (the curve).
У
(2,5)
14
(1, -1)
3
1
Choose...
3 cos x + 2
The function is f(x) = 3 sin x
3 sin x
3 cos x
2 X
The equation of the sinusoid function is:
3 Sin πx + 2.
Let's analyze the given options to find the correct equation:
a. 3 Cos πx + 2:
This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.
b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.
c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:
To determine if the period is correct, we need to calculate the x-values when the function repeats itself.
In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.
sin(πx) = 0 when πx = 0, π, 2π, 3π, ...
Solving for x, we have:
πx = 0 ⟹ x = 0
πx = π ⟹ x = 1
πx = 2π ⟹ x = 2
πx = 3π ⟹ x = 3
From this, we can see that the function repeats itself every integer value of x, which matches the given information.
Therefore, option (c) is the correct equation: 3 Sin πx + 2.
Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.
Hence, the equation of the sinusoid function is:
3 Sin πx + 2.
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please help!!! only 20 mins left
The rule of (x, y) → (-x, y), which is reflection over y-axis.
Given that, ΔABC maps to triangle ΔA'B'C'.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
The coordinate points of ΔABC are A(-4, 3), B(-3, -3) and C(1, 2) and the coordinate points of ΔA'B'C' are A'(4, 3), B'(3, -3) and C'(-1, 2).
Here, A(-4, 3) → A'(4, 3), x-coordinate is negated and y-coordinate remains same.
Similarly, B(-3, -3) → B'(3, -3) and C(1, 2) → C'(-1, 2) follows the same pattern.
From this, it is clear that the coordinates of triangle ABC is reflected on y-axis.
Therefore, the rule of (x, y) → (-x, y), which is reflection over y-axis.
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help
A pizza is cut into ten slices. How many slices are there in six pizzas?
On the double number line below, fill in the given values, then use multiplication o
division to find the missing value:
slices
pizzas
There are 60 slices in 6 pizzas. Submit Answer
attempt 1 out
Answer:
60 slices
Step-by-step explanation:
1 pizza = 10 slices
6 pizzas = 10 slices * 6 = 60 slices
simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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I need help to get good grade
Answer:
The scale factor is now 3
Step-by-step explanation:
6/2=3
12/4=3
The smaller square was increased by the scale factor of 3
f(x)=|x+8| How can function f be written as a piecewise function?
the absolute value function written as a piecewise function is:
f(x) = x + 8 if x ≥ -8
f(x) = -(x + 8) if x + < -8
How can this function be written as a piecewise function?
The absolute value function:
y = |x|
works as follows:
y = x if x ≥ 0.y = -x if x < 0.That is a piecewise function.
Now, in our case:
f(x) = |x + 8| can be rewritten to:
f(x) = x + 8 if (x + 8) ≥ 0
f(x) = -(x + 8) if (x + 8) < 0.
Now we should simplify the inequalities, so we get:
f(x) = x + 8 if x ≥ -8
f(x) = -(x + 8) if x + < -8
Here we have the absolute value function written as a piecewise function.
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State the domain of f(a,b) = e^ab
Answer:
a2+b2=c2
Step-by-step explanation:
find the saqure roof of two
Answer:
(∞,∞), (a /a∉R)
Step-by-step explanation:
What is the sin x, cos x and tan X
it's c
...............
Answer:
c. cos(x)=13/20, sin(x)=11/20, tan(x)=11/13
Step-by-step explanation:
Let θ be an angle in any right triangle:
sinθ=opposite/hypotenusecosθ=adjacent/hypotenusetanθ=opposite/adjacentFor angle x, opposite=11, adjacent=13, hypotenuse=20. Therefore,
cos(x)=adj/hyp=13/20
sin(x)=opp/hyp=11/20
tan(x)=opp/adj=11/13
⇒Answer choice C
215 divided by 32 with remainder
quotient is 6 and the remainder is 23
A scientist is working with two different concentrations of hydrochloric acid (HCI). One bottle is
80% HCI, and the other is 50% HCI. For their experiment they need 1 liter of 70% HCI.
How many liters of the 80% solution do they need?
How many liters of the 50% solution?
The liters of 80% material is 2/3 liters.
The liters of the 50% solution is 1/3 liters.
How to illustrate the information?Based on the information, the scientist is working with two different concentrations of hydrochloric acid (HCI).
Let x = volume of 80%
Let 1 -x =volume of 50%
Therefore, the expression to illustrate the information will be:
80x + 50 × (1 - x) = 70
80x + 50 - 50x = 70
30x = 70 - 50
30x = 20
Divide
x = 20/30
x = 2/3
Therefore there are 2/3 liters of 80% material
The liters for the 50% solution will be 2/3 subtracted from 1. The 2/3 implies that for the 80% material. This will be:
= 1 - 2/3
= 1/3
There are also 1/3 liters of 50% material.
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5.) Which point satisfies the following system
of inequalities?
y=-x+2
-2x+y<-2
Á.(1,-1) B.(0,0) C. (2,2) D.(3,3)
The point satisfies the given system of inequalities is (1, -1)
What a system of inequalities?A system of inequalities is a set of two or more inequalities in one or more variables.
Given is a system of inequalities y < -x+2 and -2x+y < -2,
We know that, the solution set of a system of inequalities is given by studying the graph of the system, The solution set the region covered by lines of the both inequalities.
Plotting the graphs, of the system of inequalities, we get, the set of solution is the area covered with purple shade,
In that area only, (1, -1) lies.
Therefore, the point (1, -1) is the solution of the given system of inequalities
Hence, the point satisfies the given system of inequalities is (1, -1)
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5. A certain company stock began at a starting price of $23
per share. After five weeks of trading, the new company
stock has changed price every week, x, according to the
function h(x) = 25(0.93)*.
Which of the following is true?
F. The stock has increased by 93% of its original value.
G. The stock has lost 79% of its value every week.
H. The stock is worth $23.25 per share after five weeks.
). The stock has more than doubled its original value.
Answer:
$ 56.25 is he answer
Step-by-step explanation:
.... .. . . . . . . ............ ......
please help me. I really need it.
You have to find the answer on your own:
Step-by-step explanation:
Step 1:
JM - LM = JL
⇒ (5x - 8) - (2x - 6)
Step 2:
5x - 8 - 2x + 6
Add like terms
= 5x - 2x - 8 + 6
= 3x - 2
A polygon with an area of 10 square inches is dilated by a scale factor of 4, what is the new area?
The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.
27
Solve for x.
5x – 5 = 9x + 3
X =
Answer:
- 2
Step-by-step explanation:
Add 5 From Both Sides
Simplify
Subtract 9x from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Solution
Answer:
\(x=-2\)
Step-by-step explanation:
Step-by-step on how to solve it is in the picture below ↓
Hope this helps! :)
What is the product?
(-282 +8)(502-65)
Answer:
option c is the answer for pic
and for question the answer is
(-274)*(437)
-119738
Answer:
the first one
Step-by-step explanation:
determine the value of X?
Determine the Magnitude of FTD?
The value of x is 50 and FTD = 130°
How to find the value of x?Both of the angles in the diagram must have the same measure because are vertical, then:
3x - 20 = 2x + 30
3x - 2x = 30 + 20
x = 50
That is the value of x.
And we can see that FTD = 2x + 30 = 2*50 + 30 = 130
That is the measure.
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3x+8=14,X=2 write in inverse statement?
Answer:
Statement is - 3x + 8 = 14, x = 2
Let P - 3x + 8 = 14 , Q - x = 2
Conditional statement is -If 3x + 8 = 14 , then x = 2.
Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.
Converse statement - If x = 2 , then 3x + 8 = 14
Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14
Show work and number
The measure of length of the triangle is solved and
a) x = 4.9 units
b) x = 14 units
c) x = 4.8 cm
d) b = 68.5 units
Given data ,
Let the triangle be represented as ΔABC
where the measure of the lengths of the sides are given as
a)
The measure of hypotenuse AC = 12
The measure of angle ∠BAC = 66°
So , from the trigonometric relations , we get
cos θ = adjacent / hypotenuse
cos 66° = x / 12
So , x = 12 cos ( 66 )°
x = 4.9 units
b)
The measure of base of triangle BC = 20 units
And , the angle ∠BAC = 55°
So , from the trigonometric relations , we get
tan θ = opposite / adjacent
tan 55° = 20/x
x = 20 / tan55°
x = 14 units
c)
The measure of base of triangle BC = 4 cm
And , the angle ∠BAC = 57°
So , from the trigonometric relations , we get
sin θ = opposite / hypotenuse
sin 57° = 4/x
x = 4 / sin 57°
x = 4.8 cm
d)
The measure of base of triangle BC = 38 units
And , the angle ∠BAC = 61°
So , from the trigonometric relations , we get
tan θ = opposite / adjacent
tan 61° = b/38
b = 38 x tan 61°
b = 68.5 units
Hence , the trigonometric relations are solved.
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