the points (3, 17) and (1, 15) fall on a particular line. What is its equation in slope-intercept
form?

Answer:

Trina's number of hours studied is proportional to number of weeks studied

[tex] y = 2.5x [/tex]

Step-by-step explanation:

The ratio of each pair in any given table of values must be the same all through, for the relationship between two variables to be considered proportional.

In this case, we are looking at the relationship between number of weeks (x) and total number of hours studied (y).

The ratio for a pair is given as: y/x

If the ratio value for all pairs are the same in any of the given table, then it is proportional.

❌For Jessica's table of values, the first, second and third pair of values have a ratio of 2.5, however, the fourth pair has a different ratio of 4 (y/x = 40/10 = 4). So, this relationship is not proportional.

❌For Emily, the first, and second pair has a ratio of 2.5 while the third and fourth has different ratio. This also isn't a proportional relationship.

✅For Trina, the relationship between hours studied and the given number of weeks is proportional, because all pairs have the same ratio. That is: y/x = 5/2 = 10/4 = 20/8 = 25/10 = 2.5

✍️A proportional relationship can be written as [tex] y = kx [/tex].

Where,

y = total number of hours

x = number of weeks

k = constant of proportional = 2.5 (the ratio between y to x)

To generate an equation that represents the proportional relationship in the table of values for Trina, simply plug in the value of k in [tex] y = kx [/tex].

Thus, the equation would be:

✅[tex] y = 2.5x [/tex].

Answer:

give the dude brainliest

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Perpendicular slope means it's the opposite, meaning the perpendicular slope of 1/3 is -3 because -3 = -3/1. [note: if it's positive it should come out negative and just the opposite if it's a negative (the fraction should also be flipped)]

Answer:

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

Step-by-step explanation:

The equation of the line shown can be expressed in the slope-intercept formula as [tex] y = mx + b [/tex]

Let's find m = slope, and b = y-intercept.

Using two points on the line, (0, 1) and (1½, 0),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{\frac{3}{2} - 0} = \frac{-1}{\frac{3}{2}} = - \frac{2}{3} [/tex]

y-intercept, b is where the line intercepts the y-axis = 1.

To create an equation for the line, substitute m = -⅔, b = 1 in [tex] y = mx + b [/tex].

✅The equation would be:

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

Answer:

ok so u know that all triangles in the inside are equal to 180

Step-by-step explanation:

1. 180-162= 18 angle a is 18, now to solve for b 180-122-18=40, angle b is 40

2.180-171=9 angle a is 9, now to solve for b 180-128-9=43, angle b is 43

3.180-35-22=132 angle c is 132, now to solve for angle d 180-22=158, angle d is 158

4. 180-20-29=131 angle c is 131, now to solve for angle d 180-20=160, angle d is 160

List the multiples of each qty:

7, 14, 21, 28,35,42,49,56,63

9, 18, 27, 36, 45, 54, 63

The least common multiple is 63

He bought 63 hotdogs and buns

Answer:

63

Step-by-step explanation:

Answer:

Step-by-step explanation:

Linear; can be written in the form y = 5x + 4

Step-by-step explanation:

Find the next term of the Taylor series.

f⁽⁰⁾(x) = x^⅓

f⁽¹⁾(x) = ⅓ x^-⅔

f⁽²⁾(x) = -²/₉ x^-⁵/₃

f⁽³⁾(x) = ¹⁰/₂₇ x^-⁸/₃

f⁽⁴⁾(x) = -⁸⁰/₈₁ x^-¹¹/₃

So the fourth term would be:

(-⁸⁰/₈₁ z^-¹¹/₃) (x − 1)⁴ / 4!

For 0.8 ≤ z ≤ 1.2, │f⁽⁴⁾(z)│is a maximum at z = 0.8.  Therefore:

│R₃(x)│≤ │(-⁸⁰/₈₁ (0.8)^-¹¹/₃) (0.8 − 1)⁴ / 4!│

│R₃(x)│≤ 0.00014923

Looks like you accidentally wrote an extra zero.

Answer:

Count them?

Step-by-step explanation:

Answer:from top to bottom it’s

-4,-x^2,x^2,4

Step-by-step explanation:

Hope this helps :)

Answer:

So the area of the circle with radius 2xy is 4px2y2.

Answer:

nonproportional

Step-by-step explanation:

nonproportional is what i think

Answer:

Yes, y= -7x is proportional

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

[tex] y = \frac{3}{5}x + 2 [/tex]

Step-by-step explanation:

Find slope (m) using two points (0, 2) and (5, 5):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 2}{5 - 0} = \frac{3}{5} [/tex]

y-intercept (b) = 2 (i.e the value of y when x = 0)

Substitute m = ⅗ and b = 2 in [tex] y = mx + b [/tex]

The equation of the line would be:

✅[tex] y = \frac{3}{5}x + 2 [/tex]

Answer:

t = 17.5

f = 12

Step-by-step explanation:

interior corner angles in a square = 90 degrees

4t + 20 = 90

4t = 90 - 20

4t = 70

t = 17.5

7f + 6 = 90

7f = 90 - 6

7f = 84

f = 12

Answer:

46 is the factor

Step-by-step explanation:

92 / 2 = 46

po

Answer:

Answer c. -4

Step-by-step explanation:

Equations

Given:

f(x) = 2x + 7

We need to find the value of x such that:

f(x) = -1

Equating:

2x + 7 = -1

Subtracting 7:

2x = -1 - 7

Operating:

2x = -8

Dividing by 2:

x = -8 / 2 = -4

x = -4

Answer c. -4

Answer:

Mr. Sprengel has 49 pencils.

Step-by-step explanation:

We are given that Mr. Sprengel has 91 pens and pencils.

We are also given that the ratio of pens to pencils is 6:7.

Basically, the problem is telling us that for every 6 pens, there are 7 pencils.

Therefore, we can set up an equation and set our unknown (the amount of pencils) to be equal to x.

[tex]\displaystyle6x + 7x = 91\\\\13x = 91\\\\x = 7[/tex]

Now, we found our x. However, we need to plug this into a new equation and find how many pens and pencils Mr. Sprengel has.

Our new equations are:

[tex]\bullet \ 6(7) = y\\\\\bullet \ 7(7) = z[/tex]

In this case:

Therefore, let's solve these:

[tex]6(7) = y\\\\y = 42\\\\\\7(7) = z\\\\z = 49[/tex]

Now, finally, we need to insert these values into our newfound equation:

[tex]\bullet \ y + z = 91[/tex]

[tex]42 + 49 = 91\\\\91 = 91 \ \checkmark[/tex]

We get a true statement, so we have determined that Mr. Sprengel has:

Answer:

393.6

Step-by-step explanation:

1 minute=60 seconds

60 seconds x 2 meters= 120 meters

3.28 feet x 120 meters=393.6

Answer: 120 meters

explanation: times 2 meters by 60 Seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 1/5

Answer:

the answer is Z h e n g H e

Step-by-step explanation:

a  p e x

Answer:

y-(-2)=-2(x-3)

Step-by-step explanation:

point-slope form:y-y1=m(x-x1)

y-(-2)=-2(x-3)

-2+2=0

-3+2=(-1)

y=-2(x-1)

-2*x=(-2x)

-2*-1=2

y=-2x+2

-2 is the slope

2 is the y-intercept

hope this helps :3

if it did pls mark brainliest

Answer:

Step-by-step explanation:

surface area = 2πrh + 2πr²

where r = 2 miles radius

          h = 3 miles

plugin values into the formula

surface area = 2πrh + 2πr²

                     = 2π (2) 3  +  2π (2)²

                     = 37.699  +  25.133

                     = 62.832 mi.²

Answer:

A.) 7,200

Step-by-step explanation:

Answer:

-25 plug in 6 for x and minus one

Step-by-step explanation:

Answer:

F(6)=-25

Step-by-step explanation:

F(x) = -4x-1

F(6) means x=6

F(6)=-4(6)-1=-24-1=-25

F(6)=-25

Answer:

C. 380

Step-by-step explanation:

Area of the tabletop = area of a circle

Area of a circle = πr²

radius (r) = ½*diameter = ½*22 = 11 in

Take π as 3.14

Plug in the values into the formula

Area of tabletop = 3.14*11² = 379.94

Area of tabletop would be approximately 380 in² (to nearest whole number)

x<−9

is your answer

x+5<−

​25

​

​100

​​

x+5<−4

x<−4−5

x<−9

Answer:

The probability is 435/6,806

Step-by-step explanation:

Firstly, the total number of coins in the jar is

13 + 15 + 29 + 26 = 83

The probability of selecting a dime is 15/83

Now we want to grab a nickel

Since we already selected a dime and we did not replace it, the number of total coins in the jar will be 83-1 = 82

So the probability of selecting a nickel this time is

29/82

So the total probability of the event in the described order is;

15/83 * 29/82

= 435/6,806

Answer:

The third choice.

(480 - 400) / 400 * 100.

Step-by-step explanation:

(480 - 400) / 400 * 100

= 80/400 * 100

= 1/5 * 100

= 20%.

The percentage increase method will be { [ 480 - 400 ] / 400 } x 100. The correct option is C.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

The rent of an apartment is increased from $400 to $480.

The percentage change will be calculated as:-

Subtract $400 from $480 and you will get 80. Then divide 800 by 400 (because 100% = total) and you will get which means 20 %. Her hourly wage increased by 18%.

Percentage change = ( 480 - 400 ) / 400

Percentage change = 80 / 400

Percentage change = 0.2 x 100 = 20 %

Therefore, the percentage increase method will be { [ 480 - 400 ] / 400 } x 100. The correct option is C.

To know more about percentages follow

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