Answer:
I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2
Step-by-step explanation:
A mixed number in simplest form, in the box is 40 5/8 cm^3.
We have given that,
The figure contains a right rectangular prism. The length of the prism is labeled 6 and one-half centimeters, the width is labeled 2 and one-half centimeters, and the height is labeled 2 and one-half centimeters.
<h3>What is the volume of the prism?</h3>
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 .5cm
width = 2.5cm
height = 2.5cm
If you plug everything you have in the problem into the volume equation, you would get
volume = 6.5cm x 2.5cm x 2.5 cm.
Without a calculator first, turn the mixed numbers into improper fractions.
6 .5=13/2
2.5 = 5/2
Volume = 13/2 x 5/2 x 5/2
When you multiply everything together you should get.
As a mixed number, that would be 40 5/8.
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Answer:
Inverse of F does not exist
Step-by-step explanation:
2 different x values lead to 1 y value therefore it cannot be reversed
DE~JK the only two side lengths you know, so it is the only possible answer.
Short Answerx1 = 4.8284
x2 = - 0.828
RemarkSubstitute the value for y from the first equation into the second equation. Multiply by 4 and then see if it factors out. Solve for x first and then y.
Step one Solve for y in the first equation. Subtract x from both sides.
y = 2 - x
Step TwoEquate the two ys.
2 - x = - 1/4x^2 + 3
Step ThreeBring the left side over to the right side.
0 = -1/4 x^2 + x + 3 - 2 Combine the like terms.
0 = -1/4 x^2 + x + 1
Step Four0 = -1/4 x^2 + x + 1 Multiply through by 4
0 = - x^2 + 4x + 4
Step fiveThis won't factor. The only thing you can do is use the quadratic equation for roots.
a = - 1
b = 4
c = 4




x = 2 +/- sqrt(4^2 * 2) / (- 2)
x = 2 +/- 4 sqrt(2) / - 2
x = 2 -/+ 2 sqrt(2)
x = 2 -/+ 2 *(1.414)
x = 2 -/+ 2.828
x1 = 4.8284
x2 = - 0.828