Does anyone seriously know how to do these

Answers

Answer 1

Answer: Thats simple!
h(x)= $(x^(2)+3x )/(4x+27)$
find h(-8)
All we need to do is PLUG IN THE -8
h(-8)= $((-8)^(2)+3(-8) )/(4(-8)+27)$
= $(64-24)/(-32+27)$ (negative²=positive, negative×positive=negative)
= $(40)/(-5)$
h(-8)=-8

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What is the range and domain of the parent function f(x) = |x|

Answers

Answer:the domain of the parent function f(x) = |x| is all real numbers, and the range is all non-negative real numbers.

Step-by-step explanation:

(This answer was AI generated)

Please help with the whole page

Thank you :)

Answers

First Part:
A cube has all equal sides and therefore the formula of:
-Volume of Cube=side³
=3³=27 cm³
-Volume of Cuboid=Area of base×Height of prism
1st prism =4×3×1=12 cm³
2nd prism =7×4×9=252 cm³
3rd prism   =3.5×5×6=105 cm³
Second part:
Volumes are given with one side missing
  V=Area of base×Height of Prism
1st prism
360=6×12×x
360=72x
$(360)/(72)$ = $(72x)/(72)$
5 cm=x
Check: V=6×12×5=360 cm³
2nd question:
break it into 2 parts:
1st: find the volume of the first cuboid:
V=3×3×4=36 cm³
So now we know the volume of the second cuboid since both of them have the same volume.
2nd: 36=6×4×x
36=24x
$(36)/(24) = (24x)/(24)$
1.5 cm=x
Check: 1.5×6×4=36 cm³

True or false An invalid statistical test measure may have questions that are misinterpreted.

Answers

Answer: True.

Step-by-step explanation: The motive of all statistical tests is to check whether all the variables or unknown quantities we are using in the test are independent of each other or are related among themselves.

Also, when we write an article, we should always check whether the statistical test we are using is suitable for the type of data concerned or not.

Furthermore, if a statistical test come out to be invalid, then it may be possible that there are some questions that are misinterpreted.

Thus, the answer is true.

True. An invalid statistical test measure may have questions that are misinterpreted.

Let f(x)=x^2 - 16. find f^-1(x).

Answers

$f(x)=x^2-16\n\ny=x^2-16\n\nx^2=y+16\n\nx=√(y+16)\n\nf^(-1)(x)=√(x+16)$

A quadratic function doesn't have inverse function. But you can find inverse function for each of its "arms".

$f(x)=x^2-16 \Rightarrow x_(vertex)=0\n y=x^2-16\n x^2=y+16\n x=-√(y+16) \vee x=√(y+16)\n f^(-1)(x)=-√(x+16) \hbox{ for } x<0\hbox{ (left arm)}\n f^(-1)(x)=√(x+16) \hbox{ for } x>0\hbox{ (right arm)}$

Find the slope of the line on the graph

Answers

find 2 points on the line:

(-4,0) and (0,3)

slope = change in y / change in x

slope = 3-0 / 0 - -4

slope = 3/4

Factor completely 2x2 + 9x + 4.(2x + 2)(x + 2)

(2x + 1)(x + 4)

(2x + 4)(x + 1)

(2x + 2)(x + 4)

Answers

Answer:

(2x + 4) ( x +1 ) are factors .

Step-by-step explanation:

Given : 2x² + 9x + 4.

To find : Factor.

Solution : We have given that 2x² + 9x + 4.

On factoring 2x² + 8x + 1x + 4.

Taking common 2x from first two terms and 1 from last two terms .

2x ( x +4 ) +1 (x +4 ).

On grouping

(2x + 4) ( x +1 ).

Therefore , (2x + 4) ( x +1 ) are factors .

The factored form of the polynomial 2x² + 9x + 4 is (2x + 1)(x + 4).

Hence the correct answer is 3rd.

Given is a polynomial 2x² + 9x + 4, we need to factorize it.

To factorize the polynomial 2x² + 9x + 4, we can use the factoring method.

Step 1: Multiply the coefficient of the quadratic term (2) with the constant term (4). In this case, 2 × 4 = 8.

Step 2: Find two numbers that multiply to give 8 and add up to the coefficient of the linear term (9).

In this case, the numbers are 1 and 8 because 1 × 8 = 8 and 1 + 8 = 9.

Step 3: Rewrite the middle term (9x) using the two numbers found in step 2. This will split the middle term into two parts.

2x² + 1x + 8x + 4

Step 4: Group the terms in pairs and factor out the greatest common factor from each pair.

(2x² + 1x) + (8x + 4)

Step 5: Factor out the greatest common factor from each pair.

x(2x + 1) + 4(2x + 1)

Step 6: Notice that we now have a common binomial factor, (2x + 1). Factor out this common binomial.

(2x + 1)(x + 4)

Therefore, the factored form of the polynomial 2x² + 9x + 4 is (2x + 1)(x + 4).

Hence the correct answer is 3rd.

Learn more about Factorization click;

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