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sweet-ann [11.9K]

2 years ago

14

What is k(-8) when given the function k(x) = x +5 – 2x2?

1 answer:

xz_007 [3.2K]2 years ago

7 0

By the way, the typed out question is not proper. Be sure to be clear on signs, like absolute value.

Absolute value of -8+5 is 3. This is because -3 is turned positive due to | |

(-8)^2 = 64
Multiply 64*2, equal to 128

Then solve. — 64-128= -64

-64 is the answer

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X^2 + y^2 - 6x + 8y = 144

Shtirlitz [24]

The diameter of the equation of a circle in the xy-plane as shown is 26 units.

The standard form for finding the equation of a circle is expressed as:

$x^2 + y^2 +2gx + 2fy +C= 0$

For us to get the diameter of the circle, we need to get the radius of the circle first calculated as shown:

$r=\sqrt{g^2+f^2-C}$

Given the equation of the circle expressed as $x^2 + y^2 - 6x + 8y = 144$

Compare with the general formula:

2gx = -6x

g = -6/2

g = -3

Similarly;

2fy = 8y

2f = 8

f = 4

C = -144

Substitute into the formula for calculating the radius;

$r=\sqrt{(-3}^2+4^2-(-144)\\r=\sqrt{9+16+144}\\r=\sqrt{169}\\r=13units$

Get the diameter of the circle

d = 2r

d = 2(13)

d = 26 units

Hence the diameter of the equation of a circle in the xy-plane as shown is 26 units.

Learn more here: brainly.com/question/12908710

8 0

3 years ago

There are 25 boxes of paper. each box has 789 pieces of paper. how many pieces of paper are in all?

nika2105 [10]

This is a pretty basic multiplication problem.

If one box has 789 pieces of paper in it and there are 25 boxes, you will simply multiply 789 x 25

789 x 25 = 19,725.

This shows that there are 19,725 pieces of paper in the 25 boxes of paper.

4 0

3 years ago

Read 2 more answers

Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^

Lubov Fominskaja [6]

Answer:

$F = 1.8C +32$

$F = 86^{\circ}F$

Step-by-step explanation:

Represent Celsius with C and Fahrenheit with F.

So, we have:

$(C_1,F_1) = (100,212)$

$(C_2,F_2) = (0,32)$

Solving (a): Represent as a linear equation

First, we calculate the slope:

$m = \frac{F_2 - F_1}{C_2 - C_1}$

This gives:

$m = \frac{32 - 212}{0 - 100}$

$m = \frac{-180}{- 100}$

$m = 1.8$

The linear equation is then calculated using:

$F - F_1 = m(C -C_1)$

Where

$(C_1,F_1) = (100,212)$

$m = 1.8$

$F - 212 = 1.8(C -100)$

$F - 212 = 1.8C -180$

Make F the subject

$F = 1.8C -180+212$

$F = 1.8C +32$

Solving (b): The value of F when C = 30

Substitute 30 for C in $F = 1.8C +32$

$F = 1.8 * 30 + 32$

$F = 54 + 32$

$F = 86$

8 0

3 years ago

Read 2 more answers

A% of 80<br> Plz plz plz plz plz plz

Natalka [10]

Answer:

0.8 amperes

Step-by-step explanation:

5 0

3 years ago

M is at least 25 m_____25 options >

damaskus [11]

M > 25
_

Make sure u put the line underneath > because m could equal 25

7 0

4 years ago

Read 2 more answers