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3 years ago

Write the equation of the quadratic graph in the form f(X)= a(x-h)^2+k

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

7 0

Answer:

f(x) = 2(x - 5)² - 6

Step-by-step explanation:

Vertex Formula: y = a(x - h) + k; Vertex: [h, k]; there is a vertical stretch at 2 = a. The -h [phase shift (horizontal shift)] in parentheses gives you the OPPOSITE term of what it really is, so really, 5 = h. Now, k [vertical shift] is the ONLY normal term, so -6 = k.

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8. myles had 103 coins in a jar - all nickels, dimes, and quarters. if the total value of the coins is $15

Ivanshal [37]

If the total value of the coins is $15. The number of each type of coin is: 31 quarters, 72 dimes.

<h3>Number of each type of coin</h3>

Let D = number of dimes

Let Q = the number of quarters

Equations

d + q = 103

0.10d + 0.25q = 15

d = 103 -q

0.10(103 -q) + 0.25q = 15

10.3 - 0.10q + 0.25q = 15

0.15q = 4.7

q=4.7/0.15

q=31 quarters

Substitute q into second equation

D+31=103

D=72 dimes

Therefore the number of each type of coin is: 31 quarters, 72 dimes.

Learn more number of each coin here:brainly.com/question/13934075

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5 0

2 years ago

What is the value of n in the equation 1 (n – 4) – 3 = 3 - (2n+3)?

xxTIMURxx [149]

Answer:

n=7/3

Step-by-step explanation:

1 (n – 4) – 3 = 3 - (2n+3)

1. distribute the 1 on the left side and distribute the -1 on the right side

1n-4-3=3-2n-3

2. add like terms

1n-7=-2n

3. move n to one side and by itself

-7=-3n

4. divide -3 to get n alone. Both negatives cancel out each other

7/3=n

4 0

3 years ago

Read 2 more answers

8/15 divided by 1/3 reduce your answer

klio [65]

Here we can use fact than we can multiply fraction by inverse of fraction instead of dividing it.
Inverse of 1/3 is 3/1
Lets multiply it
$\frac{8}{15}* \frac{3}{1}= \frac{24}{15}= \frac{24:3}{15:3}= \frac{8}{5}=1 \frac{3}{5}$ - its our result

7 0

3 years ago

1. What is the area of the triangle below? 10 in. 7 in.

Alex787 [66]

The area of a triangle is

$\cfrac{base*height}{2}$