Write the slope-intercept form of the equation of each line.

Write The Slope-intercept Form Of The Equation Of Each Line.

Answers

Answer 1

Step-by-step explanation:

9.

the first we see when going from left to right : the line goes down, so it has a negative slope (factor of x).

then we look at the y-intercept (the point where the line crosses the y-axis) : negative y and around -5.

with all that we have eliminated B and D.

and not only does the line go down, it goes sharply down. so, the absolute value of the slope must be bigger.

therefore, C is the right answer.

and a quick check confirms, as the slope -10/3 means that for a change of x by +3 units causes y to change by -10, and that is what we are seeing on the chart.

at x = -3 it looks like y is about +5.

and at x = 0 (change by +3) it looks like y is about -5 (change by -10).

10.

the y-intercept does not give us a clue here, it is 1 for all 4 options, and the graph confirms it.

but this line goes up, so the slope is positive.

it is rather "flat" and by far not even diagonally, so the absolute value of the slope must be a small value (much smaller than 1, as a slope of 1 means "diagonally").

therefore, D is the right answer.

a quick check confirms, as the slope 1/5 means that for a change in x by +5 would lead to a change in y by +1.

and that is what we are seeking on the chart.

at x = -5 it looks like y is about 0.

at x = 0 (change by +5) it looks like y is about +1 (change by +1) - the y-intercept.


Related Questions

PLEASE HELP!
Question:
Solve for x
(x+3)^2

Answers:
2x^2 + 3x + 2
x^2 + 6x + 9

Answers

Answer:

x² + 6x + 9

Step-by-step explanation:

(x + 3)² = (x + 3)(x + 3)

Each term in the second factor is multiplied by each term in the first factor , that is

x(x + 3) + 3(x + 3) ← distribute parenthesis

= x² + 3x + 3x + 9 ← collect like terms

= x² + 6x + 9

Explain Direct Variation. What does “k” equal?

Answers

Answer:

In y = kx, where k is the constant of proportionality.

Answer:

k is the constant

Step-by-step explanation:

Direct variation is simply explained as when a number is directly proportional to another number. For example, when 8 is directly proportional to 4 then it will result to

=> 8= k4, where k is the constant

=> divide both sides by 4 to get k

=> k= 2


help with part b pls thank u

Answers

Answer:

See below

Step-by-step explanation:

speed = distance / timetime = distance / speed

a)

i)

Time taken at the first part:

105 / x

ii)

Time taken at the second part:

(190 - 105) / (x + 12) = 85/(x + 12)

b)

If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:

105/x + 85/(x + 12) = 13/44(x + 12)*105 + 4(85x) = 13x(x + 12)13x² - 604x - 5040 = 0

c)

Solve the equation:

13x² - 604x - 5040 = 0x = [604 ± √((-604)² + 4*13*5040) ]/26 =      [604 ± √626896]/26 =      [604 ± 791.77]/26x = (604 + 791.77)/26 = 53.68 km/h (taking positive root only)

d)

105/x = 105/53.68 h = 1.956 h = 1 h 0.956*60 min = 1 h 57 min (rounded)85/(53.68 + 12) = 85/65.68 = 1.294 h = 1 h 0.294*60 min = 1 h 18 min (rounded)

Answer:

see below

Step-by-step explanation:

Let t = time (in hours)

a) i)  First 105 km of journey

[tex]\mathsf{speed=\dfrac{distance}{time}}[/tex]

[tex]\implies x=\dfrac{105}{t_1}[/tex]

[tex]\implies t_1=\dfrac{105}{x}[/tex]

ii) Rest of journey

distance = 190 - 105 = 85 km

speed = [tex]x+12[/tex] km/h

[tex]\mathsf{speed=\dfrac{distance}{time}}[/tex]

[tex]\implies x+12=\dfrac{85}{t_2}[/tex]

[tex]\implies t_2=\dfrac{85}{x+12}[/tex]

b)  3 hours 15 minutes = 3.25 hours

[tex]\implies[/tex]  total time = [tex]t_1+t_2=3.25[/tex]

[tex]\implies \dfrac{105}{x}+\dfrac{85}{x+12} =3.25[/tex]

[tex]\implies \dfrac{105(x+12)+85x}{x(x+12)} =3.25[/tex]

[tex]\implies 105(x+12)+85x =3.25x(x+12)[/tex]

[tex]\implies 105x+1260+85x =3.25x^2 +39x[/tex]

[tex]\implies 3.25x^2-151x-1260=0[/tex]

multiply by 4:

[tex]\implies 13x^2-604x-5040=0[/tex]

c)

[tex]\textsf{quadratic formula} \ x=\dfrac{-b \pm\sqrt{b^2-4ac} }{2a}}[/tex]

[tex]\implies x=\dfrac{604 \pm\sqrt{(-604)^2-4(13)(-5040)} }{2(13)}}[/tex]

[tex]\implies x=\dfrac{604 \pm\sqrt{626896} }{26}}[/tex]

[tex]\implies x = 53.68, x=-7.22[/tex]

(to 2 decimal places)

d) time ≥ 0, therefore, x = 53.68 only

Substitute x = 53.68 into the expression for [tex]t_1[/tex] and solve for [tex]x[/tex]:

[tex]\implies t_1=\dfrac{105}{53.68}=1.955912... \textsf{hours}=\textsf{1 hr 57 min}[/tex]

What is the expected number of female children in a family with three children? 1 1. 5 2 2002. 5.

Answers

The expected number of female children in a family with three children is 1.5.

The correct option is B.

We have to determine

What is the expected number of female children in a family with three children?

Probability;

Probability is defined as the sum of all observations and the number of observations.

The expected value of female children= Probability of female children x Total number of children.

A child can be male or female, so there are 2 combinations, the favorable outcome is female.

The probability of female children = 1/2.

Therefore,

The expected number of female children in a family with three children is;

[tex]= \dfrac{1}{2}\times 3\\\\=1.5[/tex]

Hence, The expected number of female children in a family with three children is 1.5.

To know more about probability click the link given below.

https://brainly.com/question/743546

determine the y-intercept

Answers

Answer:

-21

Step-by-step explanation:

the y intercept is when x=0.

you can see that this is a linear equation where each increase in x results in  an increase of 4 onto the y value.

so if when x=1, y=-17, subtract 4 to find what y equals when x is 0.

-17 -4=-21

good luck :)

the length of a quarter is .955. Round .955 to the nearest tenth of an inch

Answers

Answer:

1.0 inch

Step-by-step explanation:

Round the 9 in 0.955, this turns it into 1.0, Since you said an inch, the value will be in inches.

Answer:

1.0in is your answer!

Step-by-step explanation:

the person above me explained it good enough

Represent the area of the region determined by the intersection of the circles x
2 + y
2 = 4

and (x − 2)2 + (y − 2)2 = 4 by an integral. Do not evaluate the integral.

Answers

I think you mean the circles

x² + y² = 4

(x - 2)² + (y - 2)² = 4

Notice that both have radius 2, but the first one is centered at the origin (0, 0) while the second one is centered at (2, 2). The two circles intersect at the points (2, 0) and (0, 2), which means the bounded region between them is contained entirely in the first quadrant.

If we solve both equations above for y, we would find two solutions in each case:

x² + y² = 4   ⇒   y = ± √(4 - x²)

(x - 2)² + (y - 2)² = 4   ⇒   y = 2 ± √(4 - (x - 2)²)

The positive/negative root corresponds to the upper/lower semicircle the make up the full circle. The semicircles we're interested in are

y = + √(4 - x²)

y = 2 - √(4 - (x - 2)²)

that is, the upper half of the circle centered at the origin, and the lower half of the circle centered at (2, 2).

So, in standard Cartesian coordinates, the bounded region (call it R) is the set

[tex]R = \left\{(x, y) : 0 \le x \le 2 \text{ and } 2-\sqrt{4-(x-2)^2} \le y \le \sqrt{4-x^2} \right\}[/tex]

and the area is given by the double integral

[tex]\displaystyle \iint_R dA = \boxed{\int_0^2 \int_{2-\sqrt{4-(x-2)^2}}^{\sqrt{4-x^2}} dy \, dx}[/tex]

Which expressions are equivalent? chose all that apply.

Answers

Answer:

7.7.7.7 and 7^4 and seven to the fourth power

Step-by-step explanation:

They all equal 2401.

They are all the same but in different forms:

(7.7.7.7- expression)

(7^4 - exponential form)

(seven to the fourth power-word form of exponent)

which of the following is a rational number but not an integer
-9
0
-4.3
3

Answers

-4.3 is a rational number but not an integer.

Please help, I’ll mark your answer as brainliest.

Answers

the denominator is x² -9x+14≠0
factorize it
(x-7)(x-2)≠0
x≠7 and x≠2

hence domain is x ∈ (-∞,2) U (2,7) U (7, ∞)

$13.56 is what percent of $16.95?

Answers

Answer:

$13.56 is 80% of $16.95.

Lily eats half a pound of cherries in 3/4 of a minute how many minutes will it take her to eat a full pound of cherries​

Answers

Answer: a minute and a half

Step-by-step explanation:

3/4 +3/4 is 6/4 which is 1 1/2 or 1 2/4

Lily eats 1/2 lbs in 3/4 min

Total pounds=1lbs

Total mins:-

2×3/43/2min1.5min

Admission to the school dance is $4.00. There is a picture booth at the dance, and each picture costs $1.50. Maria has $10.00. Which inequality represents the number of pictures, p, that Maria can purchase at the dance with admission?

A. 4.00p + 1.50 ≥ 10.00

B. 4.00 + 1.50p ≤ 10.00

C. 4.00p + 1.50 ≤ 10.00

D. 4.00 + 1.50p ≥ 10.00

Answers

Answer: B) 4.00+1.50p less or equal to 10.00
The inequality that represents the number of pictures that Maria can purchase is D.


Lesson 8-2
In Items 15-18, identify the transformation from the
graph of f(x) = 2* to the graph of g(x).
15. g(x) = 2* – 3
16. g(x) = 2(x – 3)
17. g(x) = 2* + 4
18. g(x) = 2(x+4)

Answers

Do you ever just like munching on the pickle and a hot Tuesday comes in literally rip your face off

Convert mixed numbers:

1. 2 1/3 x 9 2/3

2. 5 3/7 x 2 2/5

3. 2 6/13 x 2 1/4

4. 2 11/12 x 3 7/9

5. 5 3/5 x 5 1/7

6. 2 2/3 x 2 11/14

7. 7 1/4 x 2 1/2

8. 1 12/13 x 2 2/3

9. 2 3/4 x 1 1/6

10. 10 1/3 x 2 1/5

Answers

Answer:

Step-by-step explanation:

To convert this mixed numbers;  mixed numbers are converted by multiplying the denominator with the whole number and add answer gotten to the numerator.  you then place final answer over the denominator.

1.  21 /3  x  9 2/3  = 21/3 x 29/ 3

7 x 9.67  = 67.66

2.  5 3/7 x 2 2/5  =  38 / 3   x   12 /5  =

                             12.67   x  2.4 =  30.43

3.  2 6/13  x  2 1/4  =  32 / 14   x  9 /4

                                     2.28  x  2.25  = 9.13

4.  2 11/12 x 3 7/9   =  35 / 12  x  34 /9

                                  2.916  x 3.77   =  11.016

5.  5 3/5 x 5 1/7  =  28/5  x 31 / 7

                              5.6   x 4.428  = 24.8

6.   2 2/3 x 2 11/14   =  8/3  x  39/14

                                    2.66      x  2.78 =  7.413

7.   7 1/4  x 2 1/2  = 29/4   x  5 /2

                              7.25   x 2.5   = 18.125

8.  1 12/3  x 2 2/3 =  15 /3   x  8/3

                               5  x 2.66   =  13.33

9. 2 3/4  x 1 1/6 =   11/4  x 7/6

                                2.75 x  1.166  = 3.20

10.  10 1/3  x 2 1/5 =  31/3 x 11/5

                                  10.33  x  2.2  =  22.726

Leonard has $87.00 in his checking account. He writes a check to his credit card company for $95.00.


Which statement describes Leonard’s new checking account balance?



Leonard’s balance is −$182.00.



Leonard’s balance is −$8.00.



Leonard’s balance is $8.00.



Leonard’s balance is $182.00.

Answers

Answer:

Leonard’s balance is −$8.00.

Step-by-step explanation:

what were the most important people for mary eliza mahoney

Answers

Answer:

African American and women

Step-by-step explanation:

Mary Eliza Mahoney was eager to encourage greater equality for African Americans and women

hope this helps!

Use the fact that sin 38 ≈ 0.6157 to solve m.

cos m ≈ 0.6157

what is the value of m?

Answers

Answer:

52°

Step-by-step explanation:

We know that sine and cosine are equal when angles are complementary.

sin 38° = cos msin 38° = cos (90° - 38°) = cos 52°cos m = cos 52°m = 52°

sin and cos are equal when their sum is 90°

So

cosm=0.6125=sin38cos(90-38)=sin38cos52=sin38m=52°

You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

How many students answered pizza?

students answered pizza.

Skip to navigation





























































You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

How many students answered pizza?

students answered pizza.

Skip to navigation























































You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

How many students answered pizza?

students answered pizza.

Skip to navigation





























































You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

How many students answered pizza?

students answered pizza.

Skip to navigation





























































You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.

Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.

How many students answered pizza?

students answered pizza.

Skip to navigation

Answers

Answer:

12

Step-by-step explanation:

30% of 40=12

Find the area of the rectangle below
length = 11 in
width = 17 in

Answers

Answer:187

Step-by-explanation: width multiply by height

=11 times 17

=187

A 48°

B (6x−28)°

C (2x)°

Find the value of x. Then find the measures of angles B and C.




Enter your answers in the boxes.


x =


​m∠B=​

º


​m∠C=​

º

Answers

Answer:

x = 20, angle B = 92 and angle c = 40

Step-by-step explanation:

3 angles in a triangle adds up to 180, and since A is 48, we have B + C = 132

6x - 28 + 2x = 132
=> 8x - 28 = 132
=> 8x = 160 and x = 20

B = 6 x 20 - 28 = 92
C = 2 x 20 = 40

(4 times 2 to the third power) - (64 divided by 8)

Answers

Answer:

24

Step-by-step explanation:

(4 times 2 to the third power) - (64 divided by 8) = 4*(2^3) - 64/8

= 4*8 - 8 = 32 - 8 = 24

The answer is 24

Hope this helps :)

Have a great day!

Does the expression
(41+6)
also represent the
2
number of females on the team this year? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Yes; Dividing by 2 is the same as multiplying by [tex]\frac{1}{2}[/tex].

Use the bar graph. Astronauts installed 15 new tiles on the outside of the space station they spent 390 minutes on the task. each tile took the same amount of time to install. draw a bar in the graph to show the time needed to install a tile. Explain

Answers

Answer:

11. It will take about 26 minutes to install a singular tile.

12. It will take about 10 more minutes to install a light than it does to install a cable.

Step-by-step explanation:

11. Since installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time, you can divide the total amount of time by the number of tiles.

390/15= 26 minutes

It will take about 26 minutes to install a single tile.

12. By looking at the chart it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.

22-12= 10 minutes

It takes about 10 minutes longer to install a light than it does a cable.

It took about 26 minutes to install a single tile and 10 minutes longer to install a light than it does a cable.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

Installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time,

We have to divide the total amount of time by the number of tiles.

390/15= 26 minutes

It will take about 26 minutes to install a single tile.

By observing the chart, it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.

22-12= 10 minutes

It takes about 10 minutes longer to install a light than it does a cable.

Hence, it took about 26 minutes to install a single tile and 10 minutes longer to install a light than it does a cable.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

A rectangle is 10 feet long by 2 feet wide.
If 3 feet are removed from the length of t
would be the area, in square feet, of the
You can earn 1 coin

Answers

Answer:

14 ft²

Step-by-step explanation:

To find the area of a rectangle you multiply the length and width. Sense the length is 10 feet but 3 feet was removed it is now 7 feet. Now you multiply that 7 feet by the width of 2 feet to get

7×2=

Area= 14 ft²

Explain how to find a probability of an event

Answers

Answer:

what event there is no picture or words to tell me please explain

Step-by-step explanation:

Please help Mandy took out a $35,000 loan to buy a car. What is the principal?

Answers

The principal of a loan is the amount of money they took out as a loan.


Principal = $35,000

please help mee out hereeee

Answers

Answer:x=125

Step-by-step explanation:

180-55=125

Answer:

Step-by-step explanation:

x+55=180[Sum of linear pair]

x=180-55

x=125

DIG DEEPER A vehicle travels 250 feet every 3 seconds. Find the value of the ratio the unit rate, and the constant of
proportionality.
The value of the ratio is ( )
The unit rate is ( )
feet per ( )
second
The constant of proportionality is ( )

Answers

Answer:

83.33 or 83.3 feet per second

Step-by-step explanation:

250 feet/3 seconds = 83.33 ft per second

Find the length of the bolded arc if the radius is 4cm and the angle is 118 degrees.

Answers

Answer:

8.23 cm

Step-by-step explanation:

A circle is given to us and we need to find out the length of the bolded arc . The arc subtends an angle of 118° at the centre . And the radius of the circle is 4cm .As we know that , length of the arc is given by ,

[tex]\longrightarrow Length_{arc}= \dfrac{\theta}{360}\times 2\pi r [/tex]

Here ,

Angle is 118° . Radius is 4cm .

On substituting the respective values,

[tex]\longrightarrow Length_{arc}=\dfrac{118^o}{360^o}\times 2(3.14)(4cm) [/tex]

Simplify ,

[tex]\longrightarrow Length_{arc}= 0.3277 \times 25.18 \ cm [/tex]

Multiply ,

[tex]\longrightarrow \underline{\underline{Length _{arc}= 8.23 \ cm}} [/tex]

This is the required answer!

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