9514 1404 393
Answer:
D. 7
Step-by-step explanation:
The equation is ...
x = a(y +1)² -3
For the point (x, y) = (4, 0), we have ...
4 = a(0 -1)² -3
7 = a . . . . . . . . . . . . add 3, simplify
The leading coefficient is 7.
Answer:
11.33 * 16.33 meters to the nearest hundredth.
Step-by-step explanation:
Let the width of the pool be x meters, then the length is x+5 meters.
The length of whole area = x + 5 + 2(3) = x + 11 meters and the width is
x + 2(3) = x + 6 meters.
So we have the equation (x + 6)(x + 11) = 387.
x^2 + 17x + 66 = 387
x^2 + 17x - 321 = 0
x = [-17 +/- sqrt (17^2 - 4*1*-321)] / 2
x = 11.33 meters
So the width is 11.3 m and the length is 16.33 meters.
Answer:
$9450
Step-by-step explanation:
Given that:
The price of the home = $450000
The interest = 7.8%
Down payment = 30% of price of the home
i.e 0.3 × 450000 = 135000
The principal outstanding balance = 450000 - 135000
= 315000
Finally, the cost of 3 points will be;
![= 315000 \times \dfrac{3}{100}](https://tex.z-dn.net/?f=%3D%20315000%20%5Ctimes%20%5Cdfrac%7B3%7D%7B100%7D)
= $9450
Answer:
(1, 8.5 ) and ( - 17, 80.5 )
Step-by-step explanation:
Given the 2 equations
y =
x² + 4x + 4 → (1)
y = - 4x + 12
→ (2)
Substitute (1) into (2), that is
x² + 4x + 4 = - 4x + 12
( multiply through by 2 to clear the fractions )
x² + 8x + 8 = - 8x + 25 ( add 8x to both sides )
x² + 16x + 8 = 25 ( subtract 25 from both sides )
x² + 16x - 17 = 0 ← in standard form
(x + 17)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 17 = 0 ⇒ x = - 17
x - 1 = 0 ⇒ x = 1
Substitute these values into either of the 2 equations and evaluate for y
Substituting into (2 )
x = 1 : y = - 4(1) + 12.5 = - 4 + 12.5 = 8.5 ⇒ (1, 8.5 )
x = - 17 : y = - 4(- 17) + 12.5 = 68 + 12.5 = 80.5 ⇒ (- 17, 80.5 )