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il63 [147K]
3 years ago
10

Evaluate the expression when x = -3x²+6x+8​

Mathematics
2 answers:
adell [148]3 years ago
3 0
6x-1_______________________
Sedaia [141]3 years ago
3 0

Answer:

-1

Step-by-step explanation:

x² + 6x + 8, x= -3

= (-3)² + 6(-3) + 8

= 9 + (-18) + 8

= 9 - 18 + 8

= - 1

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The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to
DerKrebs [107]

Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

Given equation: 4x^2 -24x + 4y^2 + 72y = 76

First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒4(x^2-6x) +4(y+18y) = 76

or

4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76

4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76

4(x-3)^2 + 4(y+9)^2 - 360 =76

Add 360 on both sides we get;

4(x-3)^2 + 4(y+9)^2 =360 +76

Simplify:

4(x-3)^2 + 4(y+9)^2 =436

Therefore, the given equation is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

5 0
3 years ago
Write an equation below to express the cost (c) as a function of miles (m). The charge for a rental car is $20 plus $0.05 per mi
vfiekz [6]
F(m)=20+0.05m
f(m)=cost(c)
20=initial cost and will be the y-intercept
0.05=the cost per mile and will be the slope
m=the number of miles driven
8 0
3 years ago
-5y - 12.93=18.97 - 2.8y solve for y
Nata [24]

Answer: y=-14.5  hope it helps :)

4 0
3 years ago
46. An olympic athlete has just completed a four mile run. His average time was 6 minutes per mile. If he ran the first and last
uranmaximum [27]

Answer:

7 minutes

Step-by-step explanation:

average time = 6 minutes per mile

sum = average * count = 6 minutes / mile * 4 miles = 24 minutes

first + last mile = 5 + 5 = 10 minutes

first + second + third + last mile = sum = 24 minutes

second + third = sum - first - last = 24 - 5 - 5 = 24 - 10 = 14 minutes

average of 2 miles in the middle = sum / count = 14 minutes / 2 = 7 minutes

4 0
2 years ago
Can you complete this prime factorization of polynomials?
sergeinik [125]
Yes this is right, thanks
5 0
3 years ago
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