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3 years ago

PLEASE HELP ME but only answer if you're gonna show work thank you!!

Mathematics

1 answer:

rosijanka [135]3 years ago

3 0

The factors of the given expression are x , x - 2 and x - 4

$V(x)= x^{3}- 6x^{2}+8x \\ \\ 
V(x)=x( x^{2} -6x+8) \\ \\ 
V(x)=x( x^{2} -2x-4x+8) \\ \\ 
V(x)=x[x(x-2)-4(x-2)] \\ \\ 
V(x)=x(x-2)(x-4)$

So the expression for height and length are x and x - 4

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PLEASE HELP 30 POINTS Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building mater

jarptica [38.1K]

Logarithmic functions and exponential functions are inverse and opposite of one another

The logarithmic function is $y = \log_2(x)$ , and the length at 8 pascals is 3 units

<h3>How to determine the logarithmic function</h3>

The exponential function is given as:

$f(x) = 2^x$

Express f(x) as y

$y = 2^x$

Swap the positions of x and y

$x = 2^y$

Take the logarithm of both sides

$\log(x) = \log(2^y)$

Apply the rule of logarithm

$\log(x) = y\log(2)$

Divide both sides by log(2)

$y = \frac{\log(x)}{\log(2)}$

Apply the change of base rule of logarithm

$y = \log_2(x)$

When the strength is 8 pascals, we have:

$y = \log_2(8)$

Express 8 as 2^3

$y = \log_2(2^3)$

So, we have:

$y =3 \log_2(2)$

Evaluate log 2 base 2

$y =3$

Hence, the logarithmic function is $y = \log_2(x)$ , and the length at 8 pascals is 3 units

Read more about logarithmic and exponential functions at:

brainly.com/question/11464095

7 0

2 years ago

The method of completing the square was used to solve the equation 2x^2 - 12x + 6 =0 which equation is a correct step when using

trapecia [35]

The equation we are looking at would have to be divided by 2 first.
x²-6x+3
When looking at that, I can tell that 1 may be the possible answer since you would have to subtract 6 from both sides. That would leave a 3. Let's check.
(x-3)(x-3)
x²-6x+9=6
Now subtract 6 from both sides.
x²-6x+3=0
So, 1- (x-3)²=6 would be used.

6 0

3 years ago

Give the appropriate theorem or postulate that can

Ratling [72]

Answer:

Step-by-step explanation:

<ACB = <ECD

These 2 angles are vertically opposite and are equal.

<B = <D

They are both right angles are therefore equal.

The answer is the AA postulate.

Note

ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.

SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.

SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.

You are intended to use AA as your answer.

8 0

1 year ago

There were 82 jerseys in the men’s department. The number of jerseys In the kids’ department was 24 times as much as the number

andrew11 [14]

Jerseys in mens department is 82

Jerseys in kids department is 24 times 82

24×82=1968

3 0

3 years ago

Find xif f(x) = 2x + 7 and f(x) = -1.

Natali [406]

Answer: -4

Step-by-step explanation:

Solve 2x+7=-1

2x. =-8

x. =-4

8 0

3 years ago

Read 2 more answers