A runner charted how long it took her to run certain distances. Here is the
information she gathered:
Minutes
8
16 24
olo
Miles
1
At this pace, how long will it take her to run 4 miles?

Answer: Y=-5x+3

Step-by-step explanation:

first slope= 0 on the x axis so -2-3=-5

to get 3 you can do 4-1=3 or 7-4 or even 1-(-2)!

Correct answer: [tex]y = 3x -5[/tex]

You don't have to use the whole table in order to find equation. You can use just two points on the table to start.

In order to find the slope, the formula for that is: [tex]\frac{y_{2}-y_{1}}{x_{2} - x_{1}}[/tex]. So, we can start with points (1, -2) and (2, 1). Label (1, -2) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex]; label (2, 1) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug the numbers into the formula.

[tex]\frac{1-(-2)}{2 - 1}[/tex] → [tex]\frac{3}{1}[/tex] → [tex]3[/tex] is the slope.

To find the y-intercept, substitute (1, -2) into [tex]y = 3x + b[/tex].

[tex](-2) = 3(1) + b[/tex]

[tex]-2 = 3 + b[/tex]

[tex]-3[/tex]   [tex]-3[/tex]

________

[tex]b = -5[/tex] is the y-intercept.

Thus, the slope-intercept equation is [tex]y = 3x -5[/tex]. Hope this helps :) Let me know if you have any other questions related to this problem!

Answer:

7^2

Step-by-step explanation:

7*7=49

4^3=43

49>43

Pretty sure the answer is DFE

Answer:

534

Step-by-step explanation:

The subject is the idea,being or thing being discussed.

Should be "plant". Its the Main thing being discussed.

Answer:

B. ½

Step-by-step explanation:

9^x -1 = 2

9^x = 2+1

9^x = 3

9^x = √9

9^x = 9^½

x=½

Answer:

y = 6

Step-by-step explanation:

Let the y-intercept form of the equation of the line is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the passing through (0, 6) and (5, 6) will be,

m = [tex]\frac{6-6}{0-5}[/tex]

m = 0

Equation of the line with m = 0 will be,

y = 0 + b

y = b

Since, line passes through (0, 6),

By substituting the values in the equation,

b = 6

Therefore, standard equation of the line passing through (0, 6) and (5, 6) will be,

y = 6

Answer: 0.622

step-by-step explanation

Answer:

-0.622.

Step-by-step explanation:

Convert -5/8 to a decimal:

= -0.625.

So the largest number is -0.622.

Answer:

K = 16

Step-by-step explanation:

Answer:

1. 19.8 or 20 dollars

2. 91.6 or 90 dollars

3. 108.9 or 110 dollars

4. 8.98 or 9 dollars

5. 2.91 or 3 dollars

i can't see 6 but just divide the total cost by how many items

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Budget = $30

Spent = $13

--------------------------

30 - 15 = $15

Ahmad will spend $15 additional dollars.

Answer:

7 1/4 years old I think

Step-by-step explanation:

Answer:

2568

Step-by-step explanation:

214x12=2568

Answer:

[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]

Value of x & y when

equations are

is

x = 1.5

y = 8

Answer:

5555555555555555555555555555555555555 trust

Step-by-step explanation:

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

Answer:

The answer is A

Step-by-step explanation:

t(x) = (x-4)(x-4)+3

t(x) = (x²-4x-4x+16)+3

t(x) = x²-8x+19

Answer:

22 inch is the diameter because d =2r

Answer:

$233.95

Step-by-step explanation:

299 x 0.7 = 209.30

209.30 x 1.07 = 233.95

Answer:

x=30°

Step-by-step explanation:

3x-10=2x+20

3x-2x=20+10

x = 30°

just x, no y in the photo

Answer:

Line A passes through (-3, 2) and (-23, 54)

slope of  line A will be

               [tex]m_{A} =\frac{y_{2}-yx_{1} }{x_{2}- x_{1} } = \frac{54-2}{-23+3} = \frac{52}{20}= \frac{13}{5}[/tex]

Equation of line A will be

             [tex](y - y_{1}) = m_{A}(x-x_{1} )\\\\(y - 2) = \frac{13}{5}(x -(-3))\\\\(y - 2) = \frac{13}{5}(x +3))\\ \\\\5((y - 2) = 13(x +3))\\\\5y -10 = 13x + 39\\\\5y = 13x + 49[/tex]

Given line B is parallel to line A, So slope of A and B

                       [tex]m_{A} \cdot m_{B} = 1[/tex]

 slope of line B will be

                       [tex]\frac{13}{5}\cdot m_{B} = 1\\\\m_{B} = \frac{5}{13}[/tex]

Also given line B passes (-8, 0), therefore the equation of line B

                  [tex](y-y_{B}) = m_{B}(x-x_{B} )\\\\(y - 0) = \frac{5}{13}(x + 8)\\\\y = \frac{5}{13}(x+8)\\\\[/tex]

Therefore,

             [tex]a = \frac{5}{13} \ \ and \ b = 8[/tex]

Answer:

for what

Step-by-step explanation:

Answer:

c,d,e,f

Step-by-step explanation:

mark me brainliest

Select all values of x that make the inequality true: (x ≥ -1)

A. -4

B. -2

C. -1

D. 0

E. 1

F. 4

Answer:

C, D, E, F

Step-by-step explanation:

hope this helps! #HappyCheating

9514 1404 393

Answer:

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

  a +5b +10c +50d = 685 . . . . . total amount of cash

  b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

  a = b+c . . . . . . . . . . . as many ones as fives and tens combined

  d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

__

Substituting for 'a', then for 'b', we have ...

  (b+c) +5b +10c +50d = 685

  6(10 +4c) +11c +50d = 685

  60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

  35c = 525

  c = 15

  b = 10 +4c = 10 +4(15) = 70

  a = b+c = 70 +15 = 85

The register contained ...

Answer:

3,2,4,1,5

Step-by-step explanation:

Answer11

Step-by-step explanation:

Answer:

x^2+7x+3 R0

Step-by-step explanation:

3x+2 | 3x^3+23x^2+23x+6

        - 3x^3+2x^2                    (x^2)

_____________________

                    21x^2+23x+6

                  - 21x^2+14x           (7x)

______________________

                                 9x+6

                               - 9x+6      (3)

_________________________________

                                        0     | x^2+7x+3

Therefore, your quotient is x^2+7x+3