Answer:
y = -19x + 14
Step-by-step explanation:
For each increase of x by 1, y decreases by 19, giving us -19x. When x = 0, y = 14, therefore, y = -19x + 14
Let's make a system of equations to solve for this:
n + q = 84
0.05n + 0.25q = 12.80
where n = nickels and q = quarters.
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Solve for n in the first equation by subtracting q from both sides.
n = 84 - q
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Plug n into the second equation.
0.05(84 - q) + 0.25q = 12.80
Distribute 0.05 inside the parentheses.
4.2 - 0.05q + 0.25q = 12.80
Combine like terms.
4.2 + 0.2q = 12.80
Subtract 4.2 from both sides.
0.2q = 8.6
Divide both sides by 0.2.
q = 43
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Plug 43 for q in the first equation.
n + (43) = 84
Subtract 43 from both sides.
n = 41
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There are 41 nickels and 43 quarters in the piggy bank. ✅
Answer:
It is A
Step-by-step explanation:
Because the variable is w and that would mean week so it is 45 every week
Answer:
7) 2((7x12) + (7x2) + (12x2)
2(84 + 14 + 24)
2(122)
<u>244</u>
8) 2((13x4) + (4x6) + (13x6))
2(52 + 24 + 78)
2(154)
<u>308</u>
9) 2((4x15) + (4x8) + (15x8))
2(60 + 32 + 120)
2(212)
<u>424</u>
Step-by-step explanation:
<u>ANSWER</u>

<u>EXPLANATION</u>
The vertex form of a parabola has equation:

where V(h,k) is the vertex of the parabola and 'a' is the leading coefficient.
From the question, we have that, the vertex is

and the leading coefficient is

We substitute the vertex and the leading coefficient into the vertex form to get:

We simplify to get:

The graph of this function is shown in the attachment.