Find the slope of the line passing through each pair of points.(-6, 16) and (-8, 20)

Answer:

Please check the explanation.

Step-by-step explanation:

a)

A sequence is defined by the term-to-term rule such as

[tex]U_{n+1}=U^3_n+2[/tex]

Given that

[tex]U_0=-3[/tex]

Substituting n = 0 to determine u₁

[tex]U_{0+1}=U^3_0+2[/tex]

[tex]U_1=U^3_0+2[/tex]

substituting [tex]U_0=-3[/tex]

[tex]U_1=\left(-3\right)^3+2[/tex]

[tex]U_1=-27+2[/tex]

[tex]U_1=-25[/tex]

Therefore,

b)

[tex]U_{n+1}=U^3_n+2[/tex]

Substituting n = 1 to determine u₂

[tex]\:U_{1+1}=U^3_1+2[/tex]

substituting [tex]U_1=-25[/tex]

[tex]U_2=\left(-25\right)^3+2[/tex]

[tex]U_2=-15625+2[/tex]

[tex]U_2=-15623[/tex]

Therefore,

[tex]U_2=-15623[/tex]

Answer:

-21

Step-by-step explanation:

after -22 there comes-21 so successor of-22 is -21

Answer:

graph c

Step-by-step explanation:

Given

| - 2x | = 4

The absolute value function always gives a positive result, however, the expression inside can be positive or negative , that is

- 2x = 4 or - (- 2x) = 4

Solving both

- 2x = 4 ( divide both sides by - 2 )

x = - 2

or

- (- 2x) = 4

2x = 4 ( divide both sides by 2 )

x = 2

The third graph indicates x = - 2 and x = 2 on the number line

Answer:

1.25x+0.75y>25

x+y>20

Explanation:

Selling 20 cups of lemonade and 15 ice pops will raise enough money to go to the water park.

0.75x+1.25y≥25

Answer:

24 boards

Step-by-step explanation:

From the above question, the width of a wooden board for a fence = 6 1/4 inches

How many boards are needed to build a fence that is 150 inches long?

This is calculated as:

6 1/4 inches = 1 board

150 inches = x

Cross Multiply

6 1/4 × x = 150 × 1

x = 150 ÷ 6 1/4

x = 150 ÷ 25/4

x = 150 × 4/25

x = 24 boards

Hence, 24 boards would be needed to build a fence that is 150 inches long

Answer:

She went a total of 5/6 of a mile around the track

Step-by-step explanation:

Here, we want to calculate the distance around the track travelled

From the question, we are told that she ran 9/12 of a mile and skipped 1/12

So the total distance covered will be;

9/12 + 1/12 = 10/12 = 5/6

Answer:

−1/2c+4

Step-by-step explanation:

Combine Like Terms:

−1/2c+26+−22=(−1/2c)+(26+−22)=

−1/2c+4

Hope this helped :)

Answer:

Monique made an error when writing the factored expression

Step-by-step explanation:

Monique's work:

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4 x (0 + 4 y)

Correct working:

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4 x (1 + 4 y)

Therefore, Monique made an error when writing the factored expression

Check:

4x(1 + 4y)

Opening bracket

4x + 16xy

The answer is D the guy above me corretc

Answer:

3.75 minutes

Step-by-step explanation:

Set up an equation where x is the number of minutes:

0.25x + 35 = 0.5x + 20

Solve for x:

0.25x + 35 = 0.5x + 20

35 = 0.25x + 20

15 = 0.25x

3.75 = x

So, both plans will cost the same with 3.75 minutes

Answer:

y = - 0.05x - 1.9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = 20x ← is in slope- intercept form

with slope m = 20

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{20}[/tex] = - 0.05 , thus

y = - 0.05x + b ← is the partial equation

To find b substitute (2, - 2) into the partial equation

- 2 = - 0.1 + b ⇒ b = - 2 + 0.1 = - 1.9

y = - 0.05x - 1.9 ← equation of perpendicular line

Answer:

Step-by-step explanation:

It would be 8.20 because the 10 place is higher than the 10 place in 8.002

Answer:

[tex]x^6-88x^4-142x^3+1695x^2+2350x-9000[/tex]

Step-by-step explanation:

In order to solve this function, we must first start by writting the factors of the polynomial. We can do so by including the given zeros, and the leading coefficient. So we get:

[tex]f(x)=1(x-4)(x-2)(x-9)(x+5)^{3}[/tex]

and now we can expand this by multiplying the given parenthesis, so we get:

[tex]f(x)=(x^2-2x-4x+8)(x-9)(x^3+3(5)x^{2}+3(25)x+125)[/tex]

[tex]f(x)=(x^2-6x+8)(x-9)(x^3+15x^{2}+75x+125)[/tex]

[tex]f(x)=(x^3-9x^2-6x^2+54x+8x-72)(x^3+15x^{2}+75x+125)[/tex]

[tex]f(x)=(x^3-15x^2+62x-72)(x^3+15x^{2}+75x+125)[/tex]

[tex]f(x)=x^6+15x^5+75x^4+125x^3-15x^5-225x^4-1125x^3-1875x^2+62x^4+930x^3+4650x^2+7750x-72x^3-1080x^2-5400x-9000[/tex]

we combine like terms so we get:

[tex]x^6-88x^4-142x^3+1695x^2+2350x-9000[/tex]

Answer:100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE TO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!

You measure the mass of an apple using a balance. You get these three measurements:

100

Answer:

Option C

Step-by-step explanation:

Locate the two points on the graph

Answer

ok the correct answer is c

Step-by-step explanation:

its the only answer that has points on the graph

ur welcome;)

Answer:

B is the answer

Answer:

c)

Step-by-step explanation:

x - 2 ---------------> members in the band with the absentees.

So, x will give the number of members in the band

Answer:

d = 10units

Step-by-step explanation:

The question is incomplete. Find the complete question attached

The formula for calculating the distance between two points is expressed by the formula;

d = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate points (-4, 2) and (4, -4)

d = √(4-(-4))²+(-4-2)²

d = √(4+4)²+(-6)²

d = √(8)²+(-6)²

d = √64+36

d = √100

d = 10

Hence the distance between the points DE is 10units

Answer:

y = -2x + 5

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope and c is the y-intercept. Since we already know the values, we can just put it into the equation.

y = mx + c

y = -2x + 5

Answer:

y = - 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = 5 , thus

y = - 2x + 5 ← equation of line

Answer:

2.25 : 6.75

divide by 0.25

9 : 27

1 : 3

Answer:

m = 12h

Step-by-step explanation:

Since Bill charges $12 per hour, it implies for every hour he charges $12. Therefore, the amount of money he makes, m, is dependent on the number of hours he works, h. The higher the number of hours, the more his money. And vice versa.

So that;

m = 12h

Thus if Bill works for 6 hours, his amount of money would be;

m = 12 (6)

   = 72

m = $72

Bill would make $72 after working for 6 hours.

Answer:

It’s -20

Step-by-step explanation:

The slope of the line is m = -20.

The ratio of the vertical and horizontal changes between two points on a surface or a line is known as the slope.

Note that the graph passes through points (2,80) and (4,40).

The formula for the slope of a line passing through the points (x₁,y₁) and (x₂,y₂) is:

m = (y₂-y₁)/(x₂-x₁)

Substitute the points (x₁,y₁) = (2,80) and (x₂, y₂) = (4,40) into the above equation:

m = (40 - 80)/(4 - 2)

m = -40/2

m = -20

Hence, the slope of the line is m = -20.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

Answer:

DEMANDE  A  TON PERE LE CHAUVE PETIT ZGUEGUE

Step-by-step explanation:

Answer:

5.8/8=0.725

Rounded number: 0.7

Step-by-step explanation:

Estimate 6/8=0.75

6 because 5.8 rounded to a whole number=6

Answer:

Standard Form:

[tex]y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]

Another Form:

[tex]y = (x - 1)^{3} - 3[/tex]

Step-by-step explanation:

The type of graph or function is called Cubic Function

The type of graph is represented by the equation of y = a(x-h)³+k

Thus our equation for the graph is

[tex]y = {(x - 1)}^{ 3} - 3[/tex]

In case if you want standard form.

Simplify the expression.

[tex](x - y)^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} [/tex]

[tex]y ={x}^{3} - 3 {x}^{2} + 3x - 1 - 3 \\ y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]

Answer:

Step-by-step explanation:

120°

Answer:

Oxygen gas causes a glowing splint to continue burning. If you observe a gas forming, test for its identity by inserting a glowing wood splint into the mouth of the test tube. Light the splint and then blow out the flame, leaving a glow.

Answer:

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