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3 years ago

Complete the function table below for the function F(x) = x2 + 1.

Mathematics

2 answers:

gladu [14]3 years ago

8 0

The answer is actually False.

VMariaS [17]3 years ago

5 0

The answer is true, and let me explain this to you like this:
F(x) = 4x - 6
when x = 1, F(x) = 4 * 1 - 6 = -2
when x = 2, F(x) = 4 * 2 - 6 = 2
when x = 3, F(x) = 4 * 3 - 6 = 6
when x = 4, F(x) = 4 * 4 - 6 = 10
second row is: -2, 2, 6, 10
differences are: 2 - (-2) = 4; 6 - 2 = 4; 10 - 6 = 4
So, the second row is in arithmetic progression.
Hope this is what you were looking for

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Joe drove 538 miles in 9 hours 15 minutes. what was his average speed per hour

Lynna [10]

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3 years ago

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2 years ago

3.541 and 41 is repeated, what would it be as a simplified fraction?

qwelly [4]

Answer: 3.5

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3 years ago

Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7

shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

$y=\dfrac{1}{4p}(x-h)^2+k$ ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

$(h,k+p)=(6,-4)$

On comparing both sides, we get

$h=6$

$k+p=-4$ ...(ii)

Directrix at y=-7. So,

$k-p=-7$ ...(iii)

Adding (ii) and (iii), we get

$2k=-11$

$k=\dfrac{-11}{2}$

$k=-5.5$

Putting $k=-5.5$ in (ii), we get

$-5.5+p=-4$

$p=-4+5.5$

$p=1.5$

Putting $h=6, k=-5.5,p=1.5$ in (i), we get

$y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)$

$y=\dfrac{1}{6}(x-6)^2-5.5$

Therefore, the equation of the parabola is $y=\dfrac{1}{6}(x-6)^2-5.5$ .

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2 years ago

A large farm has 75 acres of wheat and 62.5 acres of corn. The farm crew can harvest the wheat from 12 acres and the corn from 1

MAVERICK [17]

The answer for either field being harvested is 6.25 days (acres/(rate of harvest))
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3 years ago