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2 years ago

11

Write equation in Vertex Form with a Vertex of (5,-2)

1 answer:

Talja [164]2 years ago

8 0

Answer: h = 2

k = -5

y = a(x - h)2 + k

y = a(x - 2)2 - 5

Use the given point to find a.

-8 = a(5 - 2)2 - 5

-8 = 9a - 5

a = -1/3

y = (-1/3)(x - 2)2 - 5

Step-by-step explanation:

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A european business has offered to donate to the Salvation Army, but they are requiring a detailed report on expenditures. Chase

dedylja [7]

Answer:

Both processes are correct.

Step-by-step explanation:

Let the mile taken by Chase be 10miles .

He doubles it so it will be 20 and

20% of 20 will be 4

20-4 = 16km

Now Alex operations

(10/5 )*8 = 2*8= 16 km

In both cases the answer will be the same

1 mile = 1.60034 km

Now 10 miles = 16.00 34 km

which is the same as above.

Both the processes are correct.

7 0

3 years ago

There are some Nichols dimes and quarters in a large piggy bank for every two nickels there a sweetheart forever to Diane’s ther

grigory [225]

Answer:

There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

All coins in the piggy bank worth $91.

Step-by-step explanation:

Please consider the complete question:

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total. How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning. How much are the coins in the piggy bank worth?

Let n, d, q represent number of nickles, dimes and quarters respectively.

For every 2 nickels there are 3 dimes. We can represent this information in an equation as:

$\frac{2}{n}=\frac{3}{d}...(1)$ or

$n=\frac{2d}{3}...(1)$

For every 2 dimes there are 5 quarters. We can represent this information in an equation as:

$\frac{2}{d}=\frac{5}{q}...(2)$ or

$q=\frac{5d}{2}...(2)$

There are 500 coins total. We can represent this information in an equation as:

$n+d+q=500...(3)$

We will use substitution method to solve our given system.

Upon substituting equation (1) and equation (2) in equation (3), we will get:

$\frac{2d}{3}+d+\frac{5d}{2}=500$

Multiply the equation by 6:

$\frac{2d}{3}*6+d*6+\frac{5d}{2}*6=500*6$

$2d*2+6d+5d*3=3000$

$4d+6d+15d=3000$

$25d=3000$

$\frac{25d}{25}=\frac{3000}{25}$

$d=120$

Therefore, there are 120 dimes in the piggy bank.

Upon substituting $d=120$ in equation (1), we will get:

$n=\frac{2(120)}{3}$

$n=2(40)$

$n=80$

Therefore, there are 80 nickels in the piggy bank.

Upon substituting $d=120$ in equation (2), we will get:

$q=\frac{5d}{2}$

$q=\frac{5(120)}{2}$

$q=5(60)$

$q=300$

Therefore, there are 300 quarters in the piggy bank.

Now, we need to find the value of all coins.

We know 1 quarter is worth $0.25, so 300 quarters will be worth $\$0.25\times 300=\$75$ .

We know 1 dime is worth $0.10, so 120 dimes will be worth $\$0.10\times 120=\$12$ .

We know 1 nickel is worth $0.05, so 80 nickels will be worth $\$0.05\times 80=\$4$ .

$\text{All coins worth}=\$75+\$12+\$4$

$\text{All coins worth}=\$91$

Therefore, all coins in the piggy bank worth $91.

7 0

3 years ago

PLS HELP TEST!!! IM BEING TIMED AND DIDNT PAY ATTENTION IN CLASS

Elenna [48]

Answer:

Hope you learned your lesson

Step-by-step explanation:

please don't cheat in tests have faith

7 0

3 years ago

I need you guys to check if im correct! if not, show me step by step explanations

tamaranim1 [39]

● Answer:

b) 24 cm

● Step-by-step explanation:

l + 4 = 2w => l = 2w - 4

5w + 6 = P => 5w + 6 = 2w + 2l

5w + 6 = 2w + 2(2w - 4)

5w + 6 = 2w + 4w - 8

6 + 8 = 6w - 5w

w = 14

l = 2x14 - 4

l = 28 - 4

l = 24 cm

7 0

3 years ago

Read 2 more answers

On a trip Dylan sees 125 vehicles with Montana plates and 40 with non-Montana plates. On the trip back, what is the experimental

DaniilM [7]

There is a
$\frac{25}{33}$
chance tht is is a car from montana

7 0

3 years ago

Read 2 more answers