use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150

Answer:

Step-by-step explanation:

Given function is,

[tex]f(x)=\frac{2x^2+6x}{-4x^2+8x}[/tex]

       [tex]=\frac{2x(x+3)}{-4x(x-2)}[/tex]

This function is not defined at "x(x - 2) = 0"

Therefore, for the values of x = 0 and 2, given function is not defined.

Vertical asymptote → x = 2 [Denominator = 0]

For Horizontal asymptote → [tex][\frac{2x^2}{-4x^2} =-\frac{1}{2}][/tex]

Therefore, horizontal asymptote → y = [tex]-\frac{1}{2}[/tex]

x-intercept,

For f(x) = 0,

Numerator of the function = 0

2x² + 6x = 0

2x(x + 3) = 0

x = -3

Therefore, x - intercept → (-3, 0)

For y-intercept,

x = 0

f(0) = 0

Therefore, graph has no y-intercept.

For holes on the graph,

Since, function is not defined at x = 0,

f(x) = [tex]\frac{(x+3)}{-2(x-2)}[/tex]

f(0) = [tex]\frac{(0+3)}{-2(0-2)}[/tex]

     = [tex]\frac{3}{4}[/tex]

Therefore, hole on the graph → [tex](0, \frac{3}{4})[/tex]

Answer:

y=1/4x+2

Step-by-step explanation:

The formula is y=mx+b, where m is the slope and b is the y-intercept

Answer:

ace

Step-by-step explanation:

Answer:

Look its easy  75% when to eat lunch and the 25% skipped because if they were a large amount of them it must be 75% ur welcome

Step-by-step explanation:

Answer:

[tex](a,b) \ne (7,-9)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = ax + b[/tex]

[tex]Interval = [0,4][/tex]

[tex]Area = 16[/tex]

Required

[tex]a, b \ne[/tex]

The area is calculated as:

[tex]Area = \int\limits^a_b {f(x)} \, dx[/tex]

So, we have:

[tex]Area = \int\limits^4_0 {(ax + b)} \, dx[/tex]

Integrate

[tex]Area = (\frac{ax^2}{2} + bx)|\limits^4_0[/tex]

Expand

[tex]Area = [(\frac{a*4^2}{2} + b*4)] - [(\frac{a*0^2}{2} + b*0)][/tex]

[tex]Area = [(\frac{a*4^2}{2} + b*4)][/tex]

[tex]Area = 8a+ 4b[/tex]

This gives:

[tex]8a + 4b = 16[/tex]

Divide through by 4

[tex]2a + b = 4[/tex]

From the list of options, the possible values of a and b are:

[tex](a,b) = (-2,8) \to 2 * -2 + 8 = 4[/tex]  

[tex](a,b) = (1,2) \to 2 * 1 + 2 = 4[/tex]

[tex](a,b) = (3,-2) \to 2 * 3 -2 = 4[/tex]

[tex](a,b) = (5,-6) \to 2 * 5 -6 = 4[/tex]

The odd one is:

[tex](a,b) = (7,-9) \to 2 * 7 -9 = 5[/tex]

Hence:

[tex](a,b) \ne (7,-9)[/tex]

Answer:

evaluate parenthesis first:

67/100(consider 67% out of 100) x 119 = 79.73

Answer:

79.73

Step-by-step explanation:

First, it would be finding 67% of 119

Then we find 10% = 11.9   and 1% = 1.19

The 11.9 multiplied by 6 to equal 71.4 and 1.19 multiplied by 7 to equal 8.33

Then add 71.4 and 8.33 to get the answer of 79.73.

Answer:

7

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Let x = number thought of

(x + 2) / 7 = 11

multiply both sides of the equation by 7

11 x 7 = x+ 2

collect like terms

77 - 2 = x

x = 75

Answer:

36.80

Step-by-step explanation:

261 x .141 = 36.801

Answer: https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.hide_answers.1.html

Step-by-step explanation:

here use this link above to answer your question

Answer:

Area: 200.96

Circumference: 50.24

Step-by-step explanation:

We know r (radius)=8

A=πr^2

A=π8^2

A=64π or 200.96

C=2πr

C=2π(8)

C=16π or 50.24

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

56 inches squared

Step-by-step explanation:

(4x6) ÷ 2 = 12

12 x 4 = 48

4 x 4 = 16

48 + 16 = 56

Answer:

Rotation

Step-by-step explanation:

Rotation is the only one where you wouldnt be able to have the same points on the graph. Reflection and Translation can both place trapazoid 1 in the place of trapizoid 8.

By applying Pythagoras theorem,we get

(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(7)^2+(4)^2

=>(h)^2=49+16

=>(h)^2=65

=>h=√65

Therefore, option B is correct,i.e.,√65

Answer:

Square root of 65 units

Step-by-step explanation:

This is the correct answer

Answer:

14(−3a+4b+6c+3) is the answer

Answer:

2/25

we need to divide the amount of cinnamon with in the 25 servings to see how much each serving contains

1) distribute 2 tbs into 25 serving

2)equation will be 2/25

3)answer should be 2/25

Step-by-step explanation:

Answer:

2/25 tablespoons

Hope this helps:)

Answer:

2521.5

Step-by-step explanation:

20.5 · 10.25 · 12

2521.5

Answer:

Reema bought 24 pencils in august.

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

First, let's sum up the ratio.

Sum the ratios = 6 + 2 + 3 = 11

We can make y the total number of boots sold together last month

If 24 pairs of boots were sold, then the equation would be

6/11 × y = 24

Cross multiply

6 × y = 24 × 11

6y = 264

y = 44

Therefore, total number of boots sold altogether last month were 44

Answer:

11 inches is your answer sorry if i am wrong i hope this helps

Step-by-step explanation:

Answer:

V≈67958.90

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]V=\pi r^{2}h\\V=\pi *26^{2} *32[/tex]

Answer:

2( the thingy and inside) 14x

Answer:

op 2

Step-by-step explanation:

the Answer is b

hope this helps

Answer:

-2x^9

Step-by-step explanation:

-2x^6-(-3) = -2x^9

Answer:

economic development that is conducted without depletion of natural resources.

Step-by-step explanation: