14. Write the equation in slope-intercept form that passes through the two points.

(1, 2) and (3,-8) ​

Answer:

2

Step-by-step explanation:

combine like denominators:

(1-x^4)/(x^2+1)+(x^4-1)/(x^2-1)

factor:

(1-x^2)(1+x^2)/(x^2+1)+(x^2+1)(x^2-1)/(x^2-1)

reduce:

(1-x^2)+(x^2+1)

1+1=2

w = 24

work=

1000⁸=10w

write the expression in exponential form with the base of 10

10²⁴=10w

since the bases are the same, set the exponents equal

w=24

[tex]h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} [/tex]

[tex]y = a{(x - h)}^{2} + k [/tex]

Where the a-term determines how wide, narrow, upward or downward the graph is.

The h-term determines the horizontal shift of graph. (x-axis)

The k-term determines the vertical shift of graph. (y-axis)

The vertex of graph is at (h,k). We can find the vertex by using the given formulas.

From the equation, the coefficients are:

[tex] \begin{cases} a = - 1 \\ b = 12 \\ c = - 31 \end{cases}[/tex]

Substitute these values in the formulas.

Find the value of h

[tex]h = - \frac{12}{2( - 1)} \\ h = - \frac{12}{ - 2} \\ h = - \frac{ - 6}{1} \longrightarrow - ( - 6) = 6 \\ h = 6[/tex]

Hence, the value of h is 6.

Find the value of k

[tex]k = \frac{4( - 1)( - 31) - {(12)}^{2} }{4( - 1)} \\ k = \frac{124 - 144}{ - 4} \\ k = \frac{ - 20}{ - 4} \longrightarrow \frac{5}{1} = 5 \\ k = 5[/tex]

Hence, the value of k is 5. Then we substitute both value of h and k in the vertex form

[tex]y = a {(x - h)}^{2} + k \\ y = - 1 {(x - 6)}^{2} + 5 \\ y = - {(x - 6)}^{2} + 5[/tex]

Since the vertex is at (h,k). Therefore the value of h is 6 and k is 5. Therefore:

[tex] \large{(h, k)=(6, 5)}[/tex]

(6,5) is the vertex.

Answer:

6.85 pounds

Step-by-step explanation:

3.2+1.75+1.9=6.85

Answer:

Step-by-step explanation:

It's with c or d I am confused with those two

8 and 1 are alternate exterior angles.

Answer:

<8 and <1

Step-by-step explanation:

<8 and <1 are both outside of the parallel so they are exterior and opposite to each other which is alternative exterior.

Hope this helps, thank you !!

Answer:

Step-by-step explanation:

Answer:

0.004

Step-by-step explanation:

Just mutiply and divide by 2

Answer:

0.3 since the 7 is bigger than 4 :)) just round up the tenth is the number after the decimal

Answer:

5/8

Step-by-step explanation:

8/8-3/8=5/8

Answer:x+-3

Step-by-step explanation:

-6x+21-3

-6x=18

Answer:

because this is a right triangle, we have''

[tex]\frac{1}{x^{2} }=\frac{1}{36.100}+\frac{1}{64.100}=\frac{1}{2304}\\\\=>x^{2}=2304\\\\ =>x=48[/tex]

Step-by-step explanatio

3x+5x+1=17

x=2

y=5•2+1

y=1

(x, y)=(2, 11)

3x+2(4x+5)=43

x=3

y=4•3+5

y=17

(x, y)=(3, 17)

I think I did it right and I hope I helped you

the answer is 90

50 ×2 = 100

100 - 10 = 90

Your Graph would look like this

Step-by-step explanation:

Answer:

Step-by-step explanation:

The greatest common factor they share is 4.

[tex]4(x^3+8)[/tex]

Answer:

B

Step-by-step explanation:

Answer:

7 and 3

Step-by-step explanation:

Answer:

A)

45% of customers were not satisfied with the graphics.

B)

22,500 people are expected to not be satisfied with the graphics.

6,500 people are expected to have no opinion.

C)

The majority of people are unsatisfied with the graphics.

Step-by-step explanation:

The company polled 1,000 out of the 50,000 people who had purchased the program.

42% was satisfied with the graphics.

And 13% had no opinion.

Part A)

When totaled, those satisfied, unsatisfied, and with no opinion should be 100%.

Since 42% are satisfied and 13% have no opinion, this leaves 100 - 42 - 13 or 45%.

So, 45% of customers were not satisfied with the graphics.

Part B)

Since 45% of the polled were unsatisfied with the graphics, 45% of the total 50,000 can also be expected to not be satisfied.

45% of 50,000 is 0.45(50000) = 22500.

So, 22,500 people are expected to not be satisfied with the graphics.

Likewise, 13% had no opinion.

So, 13% of 50,000 is 0.13(50000) = 6500.

6,500 out of the current 50,000 customers are expected to have no opinion with the graphics.

Part C)

Since the majority of people are unsatisfied with the graphics (45% > 42%), it is reasonable to create a new version with improved graphics.

The answers are in the photo. Hope this helps! ;)

Answer:

Let's solve for x.

4x+5y=7

Step 1: Add -5y to both sides.

4x+5y+−5y=7+−5y

4x=−5y+7

Step 2: Divide both sides by 4.

4x/4=−5y+7/4

x=−5/4 y+ 7/4

Answer: for the first one x=−5/4 y+ 7/4

3x−2y=−12

Step 1: Add 2y to both sides.

3x−2y+2y=−12+2y

3x=2y−12

Step 2: Divide both sides by 3.

3x/3=2y−12/3

x=2/3y−4

Answer:

x=2/3y−4

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

you have to order them from least to greatest in order to find the answer

Answer:

16x-24y

Step-by-step explanation:

Answer:

it would be

Step-by-step explanation:

get back to your test =] sincerly daddy bri

Answer:

4 x 4 = 16

16 ÷ 4 = 4

I cant answer the last bit as I'm not really sure what the options are? If you could tell me then I could probably answer it :)

Step-by-step explanation:

Answer:

[tex]x=45[/tex]

Step-by-step explanation:

Because the outer angles of a parallelogram always add up to [tex]360[/tex]°, the followijg equation can be used:

[tex]3x+x+3x+x=360→8x=360→x=45[/tex]

Answer:

A

Step-by-step explanation:

pls thank

5 star

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