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3 years ago

13

Find the length of a line segment with endpoints of –9 and 7.

1 answer:

madreJ [45]3 years ago

7 0

Answer:

c 16

Step-by-step explanation:

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Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6

lora16 [44]

Answer:

The answer is the option C

graph of $3x$ minus $3$ , with discontinuity at negative $2$ , negative $9$

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Simplify

$f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}$

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}$

Step 1

Convert to a factored form the numerator

$x^{2}+x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+x+0.25=2+0.25$

$x^{2}+x+0.25=2.25$

Rewrite as perfect squares

$(x+0.5)^{2}=2.25$

Square root both sides

$x+0.5=(+/-)1.5$

$x=-0.5(+/-)1.5$

$x=-0.5+1.5=1$

$x=-0.5-1.5=-2$

so

$x^{2}+x-2=(x-1)(x+2)$

Step 2

Simplify the function f(x)

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}$

The domain of the function f(x) is all real numbers except the number $x=-2$

Because the denominator can not be zero

$f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3$

$f(x)=3x-3$ ------> with a discontinuity at $x=-2$

$f(-2)=3(-2)-3=-9$

The discontinuity is at point $(-2,-9)$

the answer in the attached figure

8 0

3 years ago

Read 2 more answers

Draw a model and write an equation to represent 4 times as many as 3 is 12

WINSTONCH [101]

Hmmm the easiest way I can imagine to explain this is as follows:

4 times 3 is like 3 added to itself 4 times.

so 4×3= 3+3+3+3= 12. I'm not sure if that's what you meant by drawing a model though.

8 0

3 years ago

he doorsill of a campus building is h = 5 feet above ground level. To allow wheelchair access, the steps in front of the door ar

rusak2 [61]

I believe there is a picture of the situation missing, but we still have all the info necessary to solve.
We take the height, 5, and divide by the slope, 1/12, getting 60. This is the length of the ramp.

60 feet<span />

3 0

3 years ago

Pretty simple easy 18 points

liq [111]

Answer: B and D are the equIvalent expression.

Step-by-step explanation:

A is not the same because 2/5 is not the same as -2/5

C is not the same because 4/3p is not the same as -4/3p

D is not the same because they are both positive values instead of negative values.

7 0

3 years ago

P(0)= 8C0 (.2)0 * (.8)8

Schach [20]

Good Luck!!! Srry I don’t know!

6 0

3 years ago