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2 years ago

need the answer asap

1 answer:

7 0

F(x)=5x^2-70x+258
Solving by completing square methods gives us:
5x^2-70x=-258
x^2-14x=-51.6
c=(b/2a)^2
c=(-14/2)^2
c=49
x^2-14x+49=-51.6+49
(x-7)(x-7)=-2.6
(x-7)^2=-2.6
multiplying through by 5 you get:
5(x-7)^2+13=0
The answer is:
A] <span>5(x − 7)2 + 13; The minimum cost to produce the product is $13. </span>

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What point on the graph of y = 0.5f(x) corresponds to (4, 16)? Explain.

SVETLANKA909090 [29]

We are given a coordinate (4,16).

Where first coordinate is the value of x and second coordinate is the value of y for the function y=f(x).

We need to find the value of given point (4,16) for function y= 0.5f(x).

Here function f(x) is being multiplied by 0.5.

On multiplying 0.5 by y, it will effect the value of y only. It does not effect value of x . Because x value is still x. Only function f(x) is being multiplied by 0.5.

Therefore, y= 0.5f(4) = 0.5 * 16 = 8.

So, (4,8) is the point on the graph of y = 0.5f(x) corresponds to (4, 16).

4 0

2 years ago

Find the volume of the cubes or rectangular prisms in cubic centimeters.

DanielleElmas [232]

a) Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

b) Volume of cube is $\frac{8}{125}\,\,cm^3$

c) Volume of cube is $\frac{1}{125}\,\,cm^3$

d) Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Step-by-step explanation:

Part a)

Volume of rectangular prism with

length= $\frac{3}{5}\,\,cm$

width= $\frac{4}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

Part b)

Volume of cube with side length of $\frac{2}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3$

So, Volume of cube is $\frac{8}{125}\,\,cm^3$

Part c)

Volume of cube with side length of $\frac{1}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3$

So, Volume of cube is $\frac{1}{125}\,\,cm^3$

Part d)

Volume of rectangular prism with

length= $\frac{1}{5}\,\,cm$

width= $\frac{2}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Keywords: Volume

Learn more about Volume at:

#learnwithBrainly

6 0

2 years ago

Which of the sets of three dimensions could make a right triangle

hodyreva [135]

Answer:

B) 6, 8, 10

Step-by-step explanation:

All right triangles will follow the following theorem (Pythagorean theorem):

$a^2+b^2=c^2$ , where $a$ and $b$ are two legs of the triangle and $c$ is the hypotenuse. Out of all answer choices, only B) 6, 8, 10 follow this theorem.

4 0

2 years ago

Read 2 more answers

Anyone know the answer to this?

Nitella [24]

Answer:law of syllogism

Step-by-step explanation:

6 0

1 year ago

What is the the Pitagoras's theorem most commonly applied to ?

Sunny_sXe [5.5K]

Did you mean the Pythagorean theorem? If so I believe that the answer would be that the Pythagorean theorem is used any time there is a right triangle.

7 0

2 years ago