Math factor and solve .
Answers
Answer:
x = -1 and x = 2/3
Explanation:
The equation given is a quadratic equation.
Therefore, to solve for x we use the quadratic formula.
The quadratic formula says that if we have an equation of the form
\(ax^2+bx+c=0\)Then the values of x (solutions) are given by
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)Now in our case, the equation we have is
\(3x^2+x-2=0\)which tells us that a = 3, b = 1, and c = -2; therefore, quadratic formula gives
\(x=\frac{-1\pm\sqrt{(1)^2-4(3)(-2)}}{2(3)}\)which we simplify a bit to get
\(x=\frac{-1\pm\sqrt{1+24}}{6}\)\(\Rightarrow x=\frac{-1\pm5}{6}\)which gives us two solutions:
\(x=\frac{-1-5}{6}=-1\)\(x=\frac{-1+5}{6}=\frac{2}{3}\)Hence, the two solutions to the quadratic equation are x = -1 and x = 2/3.
Related Questions
Please help whit ratio
Answers
Answer: 12 tigers
Step-by-step explanation:
Since the ratio of lions to tigers is 1:3, meaning that for every one lions there three tigers and there's 4 lions and for every one lion there 3 tigers so we need to mulitpy 4 by 3
4×3=12 meaning there 12 tigets in the zoo.
Answer:
There are 12 tigers!
Explanation:
Let the tigers be X.
The ratio is 1:3, so it means that 1:3 = 4:X
1 x X = 3 x 4
X = 12
So, there are 12 tigers.
Have a good day!
(16x-8)
4. Expanded form
Answers
Answer:
The expanded form of (16x-8) is 16x - 8.
Step-by-step explanation:
In mathematics, the expanded form of a mathematical expression is a way of writing out the terms of the expression using their full definitions.
For example, the expression (16x - 8) can be written in expanded form as 16x - 8. This is because the expression consists of two terms: 16x and -8. The term 16x represents the product of 16 and x, while the term -8 represents the negative of 8.
In general, the expanded form of a mathematical expression is obtained by writing out each term in the expression using its full definition, rather than using abbreviations or symbols. This can be helpful for understanding the structure of an expression and how it is derived.
If you estimate that a piece of wood measures 5.5cm if it actually measures 5.62cm what is the percent error of the estimate
Answers
The percent error of the estimate is -2.14%
How to determine the percent error of the estimate?In this question, the figures are given as
Estimate = 5.5 cm
Actual = 5.62 cm
The percentage of the error is then calculated using the following equation
Error percentage = (Estimate - Actual)/Actual * 100%
Substitute the known values in the above equation, so, we have the following representation
Error percentage = (5.5 - 5.62)/5.62 * 100%
Evaluate
Error percentage = -2.14%
Hence, the error percentage is -2.14%
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Which polynomial function could be represented by the graph below?
Answers
sat question I can’t seem to understand fully.
Answers
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
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Solve 5x - 7y = 16 for y.
y =
(Use integers or fractions for any numbers in the expression.)
(Answer quickly)
Answers
Answer:
y=5x/7-16/7
Step-by-step explanation:
make y the subject formulae
7y=5x-16
divide by 7 both sides
y=5x/7-16/7
HELPPP PLEASEEE
Point P is the center of the cirlce and ∠BDC= 60°. Determine:
a. ∠DBC
b. ∠DAC
c. ∠ACD
d. ∠AEB
e. ∠APB
Answers
Answer:
Step-by-step explanation:
Angle CDB=angle BAC=42°(angles subtended by same chord)
CA is diameter,therefore angle ABC=90°(angle subtended by diameter is 90°)
In triangle CBA ,angle ACB=48°[angle
sum property]
There is a line whose slope is 2 and whose slope is 2 and whose y- intercept is 8. What is its equation in slope-intercept form?
Answers
Without writing the equation x^2 + y^2 + 24x – 26y+ 277 = 0 in the standard form, state whether the graph of this equation is a
parabola, circle, ellipse, or hyperbola.
a. parabola
c. hyperbola
b. ellipse
d. circle
Answers
Answer:
circle
Step-by-step explanation:
You can see there is a x^2 and y^2 and 24 x and 26 y meaning if you do complete the square you can write it as a circle in standard form
como se obtiene el area de un polígono regular?
Answers
Answer:
Área de un polígono regular. El área o superficie de un polígono es igual al producto del perímetro por la apotema dividido por dos. El perímetro es la suma de todos los lados.
Step-by-step explanation:
Answer:
Step-by-step explanation:
El área de un polígono regular se calcula a partir de su perímetro y su apotema. Sea P el polígono regular con N lados, su área es:
Fórmula del área del polígono regular mediante su perímetro
Last year a large trucking company delivered 6.0 x 10^5 tons of goods with an average value of $27,000 per ton. What was the total value of the goods delivered? Write the answer in scientific notation.
A. 1.62 x 10;11 dollars
B. 1.62 x 10^9 dollars
C. 1.62 x 10^10 dollars
D. 1.62 x 10^12 dollars
Answers
Answer:
hmmmm let me think (wastes time) mhmmmmmmm i seeeeee let me think some more (wastes even more time) ok I think I got it ohhhhh wait nevermind I see (still wastes time) oop nevermind I have no idea
Oh Btw its C
Step-by-step explanation:
How much is 200% of $40 explain how you know
Answers
Answer:
80
Step-by-step explanation:
I know this because 100% of 4 is 40 so since 200 is 2x 100 200% of 40 is 40x2 which is 80.
Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answers
Answer:
d) 1/12
Step-by-step explanation:
Which is an equation of the line that passes through (4, -5) and (6, 9)?
Answers
Answer:
try 21 x 21 plus 21 divided by 21 then add 21 x 21
Step-by-step explanation:
easy math
Answer:
\(y=7x-33\)
Step-by-step explanation:
\(m=\frac{9-(-5)}{6-4}\\m=\frac{14}{2}\\m=7\\y=7x+b\\b=-5-(7)(4)\\b=-33\\y=7x-33\)
The diameter of a circle is 55 inches.
Find the length of its radius.
Answer:
inches
Answers
Answer:
27.5 inches
Step-by-step explanation:
The circle's "radius" refers to the distance from the center towards the circumference. Once the diameter of a circle is given, it is easy to get the radius. In order to get the length of the circle's radius, all you have to do is to divide the diameter (55 inches) into two.
55 inches ÷ 2 = 27.5 inchesTherefore, the circle's distance from the center towards the circumference is 27.5 inches. This is the radius.
Are the ratios 3:4 and 4:3 equivalent??
Answers
Answer:
Those ratios are not equivalent
Step-by-step explanation:
3:4 is not the same as 4:3 because 3:4 means 3 out of 4 but 4:3 means 4 out of 3 which means it is more than one while 3:4 is less than one
Show that 0.27 and 3.6 are multiplicative inverse
Answers
I hope is correct
Answer:
3.704 and
Step-by-step explanation:
Place a decimal number as the denominator of a fraction with 1 as the numerator, then divide to calculate the reciprocal of a decimal
1/0.27=3.704
1/3.6=0.2778
When shopping, Joe noticed the prices for the items he purchased; each pen
and pencil (p) cost $0.85 and erasers (e) cost $1.15 each. Determine the amount that Joe spent on his supplies. Show your work:
Joe Spent $________
Answers
Answer:$2
Step-by-step explanation:
6. It costs $8 per hour to rent a bike. Niko graphs this relationship using x for number hours and y for total cost in dollars. Write an ordered pair that is a point on the graph of the relationship Dublishing Company
Answers
An ordered pair that is a point on the graph of the relationship publishing company is (4, 32).
It is given that costs of renting a bike per hours is $8.
We can write a function stating that x for number of hours and y for total cost in dollar.
The cost for 1 hour is $8.
The cost for 2 hours is $8*2=$16.
So, the cost for x hour is $8x.
We can also see that the cost for x hours is given in terms of y.
Therefore, we can write a function of y in term of x as;
y=8x.
The ordered pair will be written as (x, y).
Thus, for x = 4, y=8*4=32.
Hence, an ordered pair that is a point on the graph of the relationship publishing company is (4, 32).
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divide the polynomials x^2-10,000/x-100
Answers
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
What is the equation, in slope- intercept form, of the line parallel to y=5x+2 that passes through the point with coordinates (-2,1) I also have to show my work
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
y=5x+2
point (-2,1) x1 = -2 y1 = 1
equation of the line parallel (slope-intercept form) = ?
Step 02:
y=5x+2 ===> m = 5
Slope of the parallel line, m’
m’ = m
m' = 5
Point-slope form of the line
(y - y1) = m (x - x1)
(y - 1) = 5 (x - (-2))
y - 1 = 5 (x + 2)
y = 5x + 10 + 1
y = 5x + 11 ====> Slope-intercept form of the line
The answer is:
The equation of the line parallel (slope-intercept form) is y = 5x + 11
Jesse estimated the weight of his cat to be 15 to be 12 lb the actual weight is 15 what is the percent error
Answers
Hope this helped! :)
simplify √([2m5z6]/[ xy])
Answers
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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Which of the following represents the set of possible rational roots for the polynomial shown below? 2x^3+5x^2-8x-20=0 Please help fast!!!!!!
Answers
Answer:
x - -5.78526086, -1.50769051, 2.29295138
Step-by-step explanation:
Try to graph each side of the equation. The solution Is probably the x-value of the point of intersection. Sorry if this is wrong I tried my best!
Find the value of the expression 8x3 if: x=3
Answers
Answer:
48
Step-by-step explanation:
You times 8 by 3 to get 24. Then you multiply 24 by 3 to get 48
Answer:
216
Step-by-step explanation:
8x³
Put x as 3.
8(3)³
Solve for the power first.
8(27)
Multiply both terms.
216
A kayaker paddles upstream from cam to photograph a waterfall and returns. The kayaker’s speed while traveling upstream is 4 miles per hour. His speed going downstream is 7 miles per hour. What is the kayaker speed still in water? What is the speed of the current?
Answers
Hello!
First, let's analyze the exercise and get some important information:
• The kayaker’s speed while ,traveling upstream, is 4 miles per hour.
,• His speed ,going downstream, is 7 miles per hour.
Let's write it as a system with variables:
• k ,= speed of the kayaker
,• c, = speed of the current
\(\begin{cases}k-c=4 \\ k+c=7\end{cases}\)If we add these two equations, we can cancel C, look:
\(\begin{gathered} 2k=11 \\ k=\frac{11}{2} \\ k=5.5 \end{gathered}\)Now that we know the value of k, let's replace it in the first equation:
\(\begin{gathered} k-c=4 \\ 5.5-c=4 \\ 5.5-4=c \\ c=1.5 \end{gathered}\)What is the kayaker speed still in the water? 5.5mi/h
What is the speed of the current? 1.5mi/h
29.87 × 1.089 show work
Answers
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answers
To solve the equation, you first need to simplify 0.5(6) to get 3, since 0.5 is equivalent to 1/2 and multiplying 6 by 1/2 gives you 3. So the equation becomes:
y = 3 - 4
Next, you need to subtract 4 from 3 to get -1. So the solution to the equation is:
y = -1
Therefore, when the value of the independent variable is 6, the value of the dependent variable is -1.
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.) a = 57 , b = 43 , c = 58
Answers
The Area of the given triangle is 1146.27 sq. units.
Heron's Formula:An important plane geometry theorem also referred to as Hero's formula.
By dividing the quadrilateral into two triangles along its diagonal, this formula is also used to determine the quadrilateral's surface area.
Given the semiperimeter and the lengths of the sides a, b, and c
\(p=\frac{a+b+c}{2}\)
of a triangle, Heron's formula gives the area of the triangle as
\(A=\sqrt{p(p-a)(p-b)(p-c)}\).
Now in the given question,
a = 57
b = 43
c = 58
Hence, the semi-perimeter,
\(p=\frac{a+b+c}{2}\)
\(p=\frac{57+43+58}{2} =79\)
Now we calculate the area,
\(A=\sqrt{p(p-a)(p-b)(p-c)} \\A=\sqrt{79(79-47)(79-43)(79-58)} \\A=\sqrt{79(22*36*21)} \\A=\sqrt{79*16632} \\A=\sqrt{1313928} \\A=1146.266\)
Hence, the area of triangle is 1146.27 sq. units.
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Evaluate the expression when a=-7. a^2+4a-2
Answers
Plug in the value to solve the expression.
\((-7)^2+4(-7)-2\)
\(49-28-2\)
\(19\)
Hope this helps.
頑張って!
Hey there!
a^2 + 4a - 2
= -7^2 + 4(-7) - 2
= -49 - 28 - 2
= -77 - 2
= -79
Therefore, your answer is: -79
Therefore, your answer is: -79
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)