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3 years ago

N

Mathematics

1 answer:

GrogVix [38]3 years ago

3 0

9514 1404 393

Answer:

(d) f(x) = 2x^2 - 16x + 35

Step-by-step explanation:

The x-coordinate of the extreme will be found at ...

x = -b/(2a)

where the function is f(x) = ax²+bx+c.

The extreme will be a minimum when a > 0. (eliminates choices A and B)

The x-coordinates of the extremes are ...

C: -(-4)/(2(4)) = 1/2

D: -(-16)/(2(2)) = 4 . . . . . matches the requirement

The appropriate choice is ...

f(x) = 2x^2 - 16x + 35

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Write an equation of the circle with center (3,-2) and radius 6

Lubov Fominskaja [6]

Answer:

$\displaystyle (x-3)^2 + (y+2)^2 = 36$

Step-by-step explanation:

We want to write the equation of a circle with a center at (3, -2) and a radius of 6 units.

Recall that the equation of a circle is given by:

$\displaystyle (x-h)^2 + (y-k)^2 = r^2$

Where (h, k) is the center and r is the radius.

Since our center is at (3, -2), h = 3 and k = -2. r = 6. Substitute:

$\displaystyle (x-(3))^2 +(y-(-2))^2 = (6)^2$

Simplify:

$\displaystyle (x-3)^2 + (y+2)^2 = 36$

In conclusion, the equation of the circle will be:

$\displaystyle (x-3)^2 + (y+2)^2 = 36$

8 0

3 years ago

9z - 6 + 72 = 162 - 6

-BARSIC- [3]

Answer: Exactly One Solution

Step-by-step explanation: All you have to do is evaluate the problem.

9z - 6 + 72 = 162 - 6

9z - 6 + 72 = 156

9z + 66 = 156

9z = 90

z = 10

3 0

3 years ago

Read 2 more answers

Country is 15% what do you do?

boyakko [2]

The answer to your question is 39
This is because you do 15%*260

3 0

3 years ago

Help me please PLZZZZZZZZZZZZZZZZZZZ

KonstantinChe [14]

Answer:

-5.5

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

rick bought 3 shirts for 18 each 2 pairs of socks for 3.99 a pair and a pair of slacks for 45.00. the sales tax rate is 8.5%. ho

iogann1982 [59]

18×3=54
3.99×2=7.98
54+7.98+45=106.98
106.98×.085=9.0933
106.98+9.0933=116.0733
rounded to 116.07
answer 116.07

8 0

3 years ago