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Lemur [1.5K]
2 years ago
15

U = {p, q, r, s, t, u, v, w}

Mathematics
1 answer:
SOVA2 [1]2 years ago
7 0

Answer:

{p, q, u, v, w}

Step-by-step explanation:

Please mark me bainliest if I helped!

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Enter the correct answer in the box.
Mekhanik [1.2K]

The equation in the vertex form of g(x) is:

g(x) = (x + 1)^2 - 38

<h3>How to get the equation of function g?</h3>

We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).

So first, let's rewrite f(x) to its vertex form:

f(x) = x^2 - 4x - 32

The vertex is at:

x = -(-4)/2*1 = 2

The y-value of the vertex is:

f(2) = 2^2 - 4*2 - 32 = -36

Then the vertex form of f(x) is:

f(x) = (x - 2)^2 - 36

If we move this vertex 2 units below, and 3 units to the left, then we have:

g(x) = f(x +3) - 2\\\\g(x) = (x - 2 + 3)^2 - 36 - 2\\\\g(x) = (x + 1)^2 - 38

That is the equation for g(x) in vertex form.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ1

6 0
2 years ago
Daniella has $210 in the bank, and her balance is growing at a rate of $3 each month. Lori has $187 in the bank,but her balance
just olya [345]

Answer: 15 1/3 months

Step-by-step explanation:

Daniella has $210 in the bank, and her balance grows at a rate of $3 each month. This can be written as:

b = 3m + 210 ...... equation i

Lori has $187 in the bank and her balance grows at a rate of $4.50 each month. This can be written as:

b = 4.5m + 187 ....... equation ii

Combine both equations

b = 3m + 210

b = 4.5m + 187

3m + 210 = 4.5m + 187

4.5m - 3m = 210 - 187

1.5m = 23

m = 23/1.5

m = 15 1/3 months

4 0
3 years ago
Solve the value of Z 8 = 16
dezoksy [38]

Answer:

Z=2

Step-by-step explanation:

Z8=16

Z=16/8

Z=2

4 0
3 years ago
1 Point
Sav [38]

Answer:

50, 52, 54, 55, 56, 56, 64, 65, 68, 74, 74, 76, 77, 77, 80, 81,  90, 91, 95, 99,

Step-by-step explanation:

6 0
3 years ago
Please solve the equation (15m + 3)/2 = -6
stiv31 [10]

Answer:

m = - 1

Step-by-step explanation:

Given

\frac{15m+3}{2} = - 6

Multiply both sides by 2 to clear the fraction

15m + 3 = - 12 ( subtract 3 from both sides )

15m = - 15 ( divide both sides by 15 )

m = - 1

6 0
3 years ago
Read 2 more answers
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