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3 years ago

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Simplify

8(x+3)^{2}}{2(x+3)}" alt="\frac{8(x+3)^{2}}{2(x+3)}" align="absmiddle" class="latex-formula">

1 answer:

zaharov [31]3 years ago

4 0

The answer simplified is -148

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BRAINLIESTTT ASAP! PLEASE HELP ME :)

GrogVix [38]

Answer:

<u>1. Type of function</u>: absolute value function

<u>2. The three transformations from the parent function f(x) = |x| are</u>:

Translation 3 units to the left
Vertical stretch with a scale factor of 2
Translation 5 units downward

Explanation:

<u>1. Type of function</u>

The parent function |x| is the absolute value function. It returns the positive value of the argument (x).

Thus the function f(x) = 2|x + 3| - 5 is also an absolute value function.

It returns the positive value of x + 3, then multiplyes it by 2, and finally subtract 5.

This is a piecewise function.

For the values of x ≥ - 3, the output is 2(x +3) - 5 = 2x + 6 - 5 = 2x + 1.

For the values of x < - 3, the output is 2 (-x - 3) - 5 = -2x - 6 - 5 = -2x - 11.

The vertex of this function is at x = - 3: 2 (- 3 + 3) - 5 = 2(0) - 5 = 0 - 5 = 5.

Thus the vertex is (-3, 5).

<u>2. Transformations from the parent function f(x) = |x|</u>.

When you know the parent function and the daughter function you can know the transformations done of the former to get the later by some simple rules.

a)<u> Translation in the horizontal direction</u>.

When you add a positive value to the argument the function is translated to the left.

Thus, when you add 3 to x, |x| becomes |x + 3| and it is a translation 3 units to the left.

b) <u>Vertical stretch</u>

When you multiply the argument by a constant, the function stretches vertically.

Thus, when you multiply |x + 3| by 2, to get 2|x + 3|, the function is vertically stretched by a scale factor of 2.

c) <u>Vertical translation</u>

When you subtract a constant value from the function, you translate it downward.

Thus, when you subtract 5 from 2|x + 3| - 5, you translate the function 5 units downward.

6 0

3 years ago

What adds to give you 1, but multiplies to give you -90?

ella [17]

I would say -9 and 10

4 0

3 years ago

What are the terms in the expression 4 + 9V +6w?

spayn [35]

Answer:

4, 9v, and 6w

Step-by-step explanation:

I'm pretty sure it's right

4 0

2 years ago

A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then

Masja [62]

A.
$\frac{7purple}{9total} * \frac{2white}{8total} \\ \frac{14}{72} \\ =0.194$
The denominator of the second number goes down one because you aren't replacing the initial marble pulled, making the amount of marbles in the bag go down, but not affecting the white count because you pulled a purple marble.
b.
$\frac{2white}{9total} * \frac{1white}{8total} \\ \frac{2}{72} \\ =0.278$
The same can be said about the denominator for this problem, but not the numerator. The numerator must go down one number as well, because you already chose one white marble, taking one of the white marbles out of the bag, leaving you with one solitary, white marble.
c.
Chance of selecting two purple marbles:
<u /> $\frac{7purple}{9total} * \frac{6purple}{8total} \\ \frac{42}{72} \\ =0.583$
Chance of selecting two white marbles:
$\frac{2white}{9total} * \frac{1white}{8total} \\ \frac{2}{72} \\ =0.278$
<u>Chance of selecting two purple</u> vs. <em>Chance of Selecting 2 white:</em>
<u>0.583</u>><em>0.278</em>.
It is more likely to select 2 purple marbles.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Please answer the question attached, marking brainliest (serious answers only)

Mandarinka [93]

Step-by-step explanation:

By Exterior Angle Theorem,

81° + b = 117°.

=> b = 117° - 81° = 36°.

8 0

2 years ago

Read 2 more answers