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Lelu [443]
3 years ago
10

Write the equation for a parabola with a focus at (0,-5) and a directrix at y=-3

Mathematics
1 answer:
Olenka [21]3 years ago
7 0
-4y -16 = x^2
All done
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Evaluate the expression 5k2 - 7k when k = 3
VikaD [51]

Answer:

24

Step-by-step explanation:

In this question, you have to solve by plugging in the value to the "k" variable and solve.

Solve:

5(3)^2 - 7(3)

3^2 = 9

5(9) - 7(3)

45 - 7(3)

45 - 21 = 24

Your final answer would be 24.

4 0
3 years ago
Read 2 more answers
The first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in the series.
maks197457 [2]

Answer:

195.25

Step-by-step explanation:

Consider geometric series  S(n) where initial term is a

So S(n)=a+ar^1+...ar^n

Factor out a

S(n)=a(1+r+r^2...+r^n)

Multiply by r

S(n)r=a(r+r^2+r^3...+r^n+r^n+1)

Subtract S(n) from S(n)r

Note that only 1 and rn^1 remain.

S(n)r-S(n)=a(r^n+1  -1)

Factor out S(n)

S(n)(r-1)=a(r^n+1  -1)

The formula now shows S(n)=a(r^n+1  -1)/(r-1)

Now use the formula for the problem

4 0
3 years ago
F(x)=-8x+4 then f^-1(x)= PLEASE HELP!!!
lakkis [162]
F^-1(x)= (x-4)/-8 because it's just finding the inverse function
6 0
3 years ago
4. For graduation, Diamond was able to buy her first car for $24,000. Her parents gave her a present and made a
s344n2d4d5 [400]

Answer:

$403.15

Step-by-step explanation:

Principal loan amount is the total amount minus down-payment:

Principal=24000-1000\\\\=23000

Knowing that n=12\times 6=72,P=23000, r=7.99\%/12=0.006658, the monthly payments can be calculated using the formula:

M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15

Hence, the monthly payment is $403.15

3 0
3 years ago
Aaron works as a bar attendant and receives $11 per hour. On Saturday he works for five hours at normal time and three hours ove
scoundrel [369]

Answer:

so his total pay for Saturday would be $104.50

Step-by-step explanation:

He works 5 hours at $11  per hour which gets a total of 55$

He also works 3 hours of overtime where he gets payed 1.5x pay

11 x 1.5 = 16.5 (10x1.5 = 15 1x1.5 = 1.5)

so he gets $16.5 per hour for 3 hours which = 49.5$

49.5 + 55 = $104.50

5 0
3 years ago
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