Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph

In slope-intercept form, we have these values (y = mx + b):

m = slope

b = y-intercept

Change the equation from standard form to slope-intercept form.

-9x + 7y = 28

-9x + 9x + 7y = 28 + 9x

7y = 28 + 9x

7y/7 = 28/7 + 9x/7

y = 4 + 9/7x

y = 9/7x + 4

Therefore, the y-intercept is 4.

Best of Luck!

Answer:

1 .i think it is d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Choose the correct option

Answer:

(-3,-1)

Step-by-step explanation:

When you graph it on a graphing paper, you can see that the graph touches it but barely

Answer:

C

Step-by-step explanation:

y = -f(x) is the reflection about the x-axis of the graph y = f(x).

Answer:

Boys 4/9 ; 5/9 Girls

Step-by-step explanation

Boys 4:5 Girls

Total pupil = 9

The fraction of boys in the class is 4/9

The fraction of girls in the class is 5/9

Answer: The no. thought is 5.5

Step-by-step explanation: Let the no. thought be ' x '

2x - 2 = 9

2x = 9+2

2x = 11

x = 11/2 = 5.5

So the right answer is 14.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

  y = x^2 +2x +1

Step-by-step explanation:

Let's see how this works.

Two of the given points have the same y-value, so the axis of symmetry is located halfway between. If we translate the desired curve down 1 unit, those symmetrical values become zeros, and our function will look like ...

  f(x) = ax(x +2)

We want this to go through the third point, also translated down by 1 unit, so we have ...

  3 = a(1)(1+2) = 3a

That is, a=1, so f(x) = x(x+2) and translating that up 1 unit gives our desired function:

  y = x(x+2) +1

  y = x^2 +2x +1

_____

Using the quadratic regression function of a graphing calculator gives the same result.

_____

Comment on the solution approach

For arbitrary points, one would generally substitute them into the formula for  the function you want:

  y = ax^2 +bx +c

to get three equations in the parameters a, b, and c. These equations would be solved to find the desired coefficients. As noted elsewhere, one of the given points for this problem is the y-intercept (0, 1), so right away we know c = 1. ("c" is the y-intercept.)

That leaves two remaining equations in two unknowns (using the other two points).

Using the point (-2, 1), the equation is ...

  1 = a(-2)^2 +b(-2) +1   ⇒   4a - 2b = 0   ⇒   2a -b = 0

Using the point (1, 4), the equation is ...

  4 = a(1^2) +b(1) +1   ⇒   a +b = 3

Adding these gives 3a = 3, or a=1. Then substitution gives b=2, so the final equation is ...

  y = x^2 +2x +1

Answer:

33.67

Step-by-step explanation:

BODMAS (Bracket of Division Multiplication Addition Subtraction)

bracket then divide and so on

Answer:

33.67

Step-by-step explanation:

hope this helps have a wonderful day

Answer:

Step 3: Add those deviations together.

Step-by-step explanation:

Answer:

you should count how many time two or more line touches each other

Answer:

If you want to know where a line intercepts the y axis then you make substitute x for 0 and solve for y. If you want to know the intercepts for the x axis, then substitute y for 0 and solve for x.

Step-by-step explanation:

Answer:

2 5/8

Step-by-step explanation:

Answer:

x = 20/9

Step-by-step explanation:

2 + 9x - 22 = 0

Combine like terms

9x - 20 =0

Add 20 to each side

9x-20 +20 =  20

9x = 20

divide each side by 9

9x/9 = 20/9

x = 20/9

Answer:

Patel’s initial deposit was $3000

Step-by-step explanation:

Given:

Simple interest (S.I.) = 5%

Time period (t) = 10 years

Interest earned (r) = $1500

To find: Patel’s initial deposit

Solution:

Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.

Let p denotes original amount of a loan

[tex]S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000[/tex]

So, Patel’s initial deposit was $3000

Answer:

4,245 miles

Step-by-step explanation:

Hello there,

the reason the answer is 4245 is because its says per minute therefore each minute of the rocket is going 283 miles and when it ask how miles did it travel in 15 minutes u just multiply 283 and 15 which gets you the answer 4245 miles

         Hope dis helps.

Step-by-step explanation:

Step 1:  Multiply them together

Miles Per Minute * Minutes = Miles Traveled

283 * 15 = Miles Traveled

4245 = Miles Traveled

Answer: The rocket will travel 4,245 miles

Answer:2t-7

i just kinda solved it hehe

The (2t - 7) is the expression that is equivalent to (2(t-4)+1) and this can be determined by using the arithmetic operations.

Given :

Expression - 2(t - 4) + 1

The following steps can be used to evaluate the given expression:

Step 1 - Open the parenthesis in the given expression. Then multiply 2 by t and then multiply 2 by -4.

= 2t - 8 + 1

Step 2 - Now, subtract 8 from 1 in the above expression.

= 2t - 7

So, the (2t - 7) is the expression that is equivalent to (2(t-4)+1).

For more information, refer to the link given below:

https://brainly.com/question/2353072

Let [tex]y=ab^x,[/tex] as described in the problem statement. Plugging in [tex]x=2[/tex] and [tex]x=5[/tex] gives us the equations [tex]18=ab^2[/tex] and [tex]60.75=ab^5.[/tex] Since [tex]a,b[/tex] are nonzero, we divide the second equation by the first to get [tex]\frac{27}{8}=b^3,[/tex] which means that [tex]b=\frac{3}{2},[/tex] after taking the cube root. Plugging this value for [tex]b[/tex] into the first equation, we now have [tex]18=a(3/2)^2=\frac{9a}{4}.[/tex] Solving gives [tex]a=8,[/tex] and our desired exponential equation is [tex]\boxed{y=8\left(\frac{3}{2}\right)^x}.[/tex]

Answer:

35

Step-by-step explanation:

Equation:

(-6/5)x - 4 = -46

Add 4 on both sides:

(-6/5)x - 4 = -46

           +4     +4

(-6/5)x = -42

Multiply both sides by the reciprocal, or opposite:

-5/6[(-6/5)x] = (-42)-5/6

x = 35

Therefore, x is equal to 35.

Answer:

       x = 35

Step-by-step explanation:

Step  1  :  6/5 Simplify

Step  2  :

Rewriting the whole as an Equivalent Fraction

Adding fractions that have a common denominator

Step  3  

Rewriting the whole as an Equivalent Fraction

Answer:  x = 35

Hope this helps.

Step-by-step explanation:

4/5 of an hour = 48 min

Total words = 12

Rate = 48 ÷ 12 = 4

She mastered 1 word in 4 min

Answer:it’s 15

Step-by-step explanation:

Answer:

C = 2*π*r

Step-by-step explanation:

When given the radius, we can multiply it by both pi and 2 to find the circumference of a circle.

Answer:

C=2πr

Step-by-step explanation:

C=2πr

Answer:

D = (x+6)² = 13

Step-by-step explanation:

In the attached file

Answer:

[tex] \boxed{B. \: 16 \: yards} [/tex]

Given:

Length of rectangle (l) = 28 yards

Perimeter of rectangle = 88 yards

Step-by-step explanation:

Let width of rectangle be 'w'

[tex] = > Perimeter \: of \: rectangle = 2(l + w) \\ \\ = > 88 = 2(28 + w) \\ \\ = > \frac{88}{2} = 28 + w \\ \\ = > 44 = 28 + w \\ \\ = > 28 + w = 44 \\ \\ = > w = 44 - 28 \\ \\ = > w = 16 \: yards[/tex]

Width of rectangle = 16 yards

Answer:

Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.

Step-by-step explanation:

Answer:

A. The #1 Seed

Step-by-step explanation

To find the answer you find the rate of one apple tree to # of apples. you do this by dividing the # of apples from the orchard by the apple trees and whichever has the highest rate of Apples to Trees is the answer which would be The #1 Seed.

Answer:

The new median would be 15.

Step-by-step explanation:

This is because the median means the middle number so we can cross out 2 and 25. Then cross out 6 and 23. Then cross out 7 and 21. Next, cross out 14 and 20. Since there is only one number left, 15, that number is therefore the median.

Answer:

List the numbers in order including 25

2,6,7,14,15,20,21,23,25

choose the number in the middle

15 has 4 numbers to the left and right so it is in the middle so it is the median

hope this helps

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

answer is

[tex]-0.245 \pm2.160(0.205)[/tex]

Step-by-step explanation:

After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer.

Slope is -0.245

Sample size  n = 15

Standard error is 0.205

Confidence level 95

Sognificance level is (100 - 95)% = 0.05

Degree of freedom is n -2 = 15 -2 = 13

Critical Value =2.16 = [using excel = TINV (0.05, 13)]

Marginal Error = Critical Value * standard error

= 2.16 * 0.205

= 0.4428

[tex]-0.245 \pm2.160(0.205)[/tex]

Answer:

The correct answer is C. [-0.245±2.160*0.205]

Step-by-step explanation:

Hello!

To analyze the if walking while working (independent variable X) affects his working productivity (dependent variable Y) James took a random sample of 15 days (from a 6 month period in which he worked and trained at home) and recorded how long he walked and his billable hours for that day.

Using this information he estimated the linear regression between the working productivity and the time spent training.

^Y= 7.785 -0.245X

The interest is to estimate the change in the average number of billable hours every time he increases the time spent walking in 1 hour.

To estimate the range of values the average billable hours may take each time the training time increases sone hour, you have to calculate a confidence interval for the population slope of the regression. The statistic is a t-test:

[tex]t= \frac{b-\beta}{Sb} ~~t_{n-1}[/tex]

[b±[tex]t_{n-2;1-\alpha /2}[/tex]*Sb]

Using a 95% confidence level the value of t is [tex]t_{n-2;1-\alpha /2}= t_{13; 0.975}= 2.160[/tex]

b= -0.245

Sb= 0.205

[-0.245±2.160*0.205]

[-0.68780.1978]

Using a 95% confidence level you'd expect the interval [-0.68780.1978] to contain the value of the average billable hours when the time spent walking increases in 1 hour.

I hope this helps!