\frac{h^{2}-1 }{h+3}<br> Plz answer<br> Show work

Subtract.

Katena32 [7]

(8x - 8y + 9) - (5x - 8y - z) = 3x + z + 9

8 - 5 = 3
-8 - (-8) = 0
9 - 0 =9
0 - (-z) = z

so it is written 3x +z +9

4 0

4 years ago

Read 2 more answers

Use the Associative Property of Addition to write an expression equivalent to (u + 2) + 8.

Alla [95]

Answer:

D

Step-by-step explanation:

First of, associative property of addition is rearranging the parenthesis and not moving the numbers

A is incorrect because you can not take out the parenthesis in the equation

B is inccorrect because they change the position of the number

C is incorrect because they change the position of number

D is correct. It only change the position of the parenthesis

7 0

3 years ago

Write a formula for the function g(x) obtained when the graph of f(x) = 1/x is shifted down 4 units and to the right 6 units .

charle [14.2K]

Answer: $g(x) = \frac{1}{x-6} - 4$

This can be written out as g(x) = 1/(x-6) - 4

The "x-6" is in the denominator, while the "-4" is not.

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Explanation:

We'll start with the parent function $f(x) = \frac{1}{x}$

When we shift 4 units down, we're subtracting 4 from the y coordinate of each point on the curve. Which is the same as subtracting 4 from f(x) because y = f(x).

So we have $h(x) = f(x) - 4 = \frac{1}{x} - 4$ as an intermediate step.

Then to shift 6 units to the right, we'll replace every x with "x-6". Imagine we kept the h(x) curve completely still, and instead we moved the xy axis 6 units to the left. This would give the illusion of h(x) moving 6 units to the right if we made the xy axis stay still. So that's why we go for "x-6" instead of "x+6".

Therefore, we end up with $g(x) = \frac{1}{x-6} - 4$

Side note: plugging in x = 6 leads to a division by zero error. This would mean x = 6 is not in the domain.

5 0

3 years ago

A test is worth 50 points. Multiple-choice are worth 1 point and short answer questions are worth 3 points. If a test has 20 que

tankabanditka [31]

Answer:

5 multiple choice questions

Step-by-step explanation:

Write equations to represent the situation.

let "x" be the number of multiple choice questions

let "y" be the number of short answer questions

Equation for the total number of questions:

x + y = 20 # of multiple choice questions + # of short answer questions

Equation for the total points: (Multiply the type of question with how many points you get.)

x + 3y = 50 You don't need to write '1' beside 'x' for multiplying by 1.

The system of equations we need to solve is:

x + y = 20 and x + 3y = 50

We can solve using the substitution method.

Rearrange x + y = 20 to isolate one variable.

Isolate 'y'.

x + y = 20

x - x + y = 20 - x Subtract 'x' from both sides

y = 20 - x

Take the other equation x + 3y = 50. You can replace 'y' with the equation that equals 'y' that we got when rearranging.

Substitute y for 20 - x

x + 3y = 50

x + 3(20 - x) = 50 Use distributive property. Multiply the 3 outside the bracket by each number inside the bracket.

x + 60 - 3x = 50 Combine like terms. 'x' and '-3x' are alike because they both have 'x'.

60 - 2x = 50 Start isolating 'x'.

60 - 60 - 2x = 50 - 60 Subtract 60 from both sides.

-2x = 50 - 60 60-60 cancels out on the left side.

-2x = -10

-2x/-2 = -10/-2 Divide both sides by -2 to isolate 'x'.

x = -10/-2 -2x/-2 becomes 'x'. -2/-2 cancels out.

x = 5 Number of multiple choice questions

Therefore there are 5 multiple choice questions.

If you needed the number of short answer questions too, you would substitute x for 5 in any of the other equations.

6 0

3 years ago

Which juice container is larger: 2 liters or 1 galon

34kurt

Its a 1 gallon because 2 litera is really small

8 0

4 years ago

Read 2 more answers

\frac{h^{2}-1 }{h+3} Plz answer Show work