Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
Answer:
<h2>S=$3</h2>
Step-by-step explanation:
Given that the cost of cooler is $44
money given to the two sons $50
let S represent the amount the two son will have to share equally
the change is 50-44=6
=$6
Then s=6/2=$3
applying with the expression directly we have
S = (50 - 44)/2
S = (6)/2
S=$3
<h2>1.
The "required option c) 45" is correct.</h2><h2>
2. The value of 8 − 2⋅3 + 7 = 9</h2><h2>
3. The required "option c) 45" is correct.</h2><h2>
4. The required "option a) 40" is correct.</h2><h2>
5. The value of 
= 8</h2>
Step-by-step explanation:
1. We have,
+ 20
To find, the value of + 20 = ?
∴ + 20
= 5 × 5 + 20
= 25 + 20
= 45
Thus, the "required option c) 45" is correct.
2. We have,
8 − 2⋅3 + 7
To find, the value of 8 − 2⋅3 + 7 = ?
∴ 8 − 2⋅3 + 7
= 8 - 6 + 7
= 15 - 6
= 9
Thus, the value of 8 − 2⋅3 + 7 = 9
3. We have,
To find, the value of = ?
∴
= 6 × 6 + 3 × 3
= 36 + 9
= 45
Thus, the required "option c) 45" is correct.
4. We have,
To find, the value of = ?
∴
= 2 × 2 × 2 + 4 × 8
= 8 + 32
= 40
Thus, the value of = 40
Thus, the required "option a) 40" is correct.
5 . We have,
To find, the value of = ?
∴
= 3 × 3 - 2 × 3 + 5
= 9 - 6 + 5
= 14 - 6
= 8
Thus, the value of = 8
The answer is 45.6. You multiply the beginning amount to the interest rate to understand how much interest you get. Then multiply that by the amount of years the interest is gathered. 570 * .02 = 11.4 * 4 = $45.6 interest. Add this to 570 for the original amount of 615.6.
