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daser333 [38]
3 years ago
15

Simplify.

Mathematics
1 answer:
viva [34]3 years ago
7 0

Answer:

C.  (16y + 7z)

Step-by-step explanation:

9y + 11z + 7y - 4z

1. Simplify the y's: 9y + 7y = 16y

16y + 11z - 4z

2. Simplify the x's: 11z - 4z = 7z

16y + 7z

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PLEASE HELP
Lostsunrise [7]
Jayne will need to drive 40 mph on the way back.
4 0
3 years ago
Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for
ValentinkaMS [17]

Point-slope form of equation is: y - 7 = -15(x-1)

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15

Point-slope form is given by:

y-y_1 = m(x-x_1)

Putting the value of slope

y-y_1 = -15(x-x_1)

We can put any one of two given points in the equation to find the final form of point-slope form

So

Putting (1,7) in the equation

y - 7 = -15(x-1)

Hence, point-slope form of equation is: y - 7 = -15(x-1)

Reducing and simplifying

y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

  • brainly.com/question/6200750
  • brainly.com/question/568302

#LearnwithBrainly

8 0
3 years ago
Find the constant of variation if x and y vary directly and x = 6 when y= -2/3 ?
elena-14-01-66 [18.8K]

Answer:

a.

k= 5/22

Step-by-step explanation:


3 0
3 years ago
A social psychologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index on which h
Levart [38]

Answer:

a. 5.26

Step-by-step explanation:

As, the standard deviation of the distribution of the difference between mean is 0.76 so the t score will be simply calculated by dividing the difference of means by standard deviation of the distribution of the difference between mean as hypothesized difference is zero.

t score=Xbar A- Xbar B/Sd of difference of means

t score=55-51/0.76

t score=4/0.76=5.26

3 0
3 years ago
Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campgro
Angelina_Jolie [31]

Answer:

-3.5

The distance Rachel covers per hour is 3.5 miles

Step-by-step explanation:

After 2 hours, she is 13 miles from the campground.

After 4 hours, she is 6 miles from the campground.

Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).

The equation of the line passing through the points (x_1,y_1) and (x_2,y_2) is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

Substitute:

x_1=2\\ \\y_1=13\\ \\x_2=4\\ \\y_2=6

Hence,

y-13=\dfrac{6-13}{4-2}(x-2)\\ \\y-13=-3.5(x-2)\\ \\y=-3.5x+7+13\\ \\y=-3.5x+20

The slope of the line is -3.5 and it represents that  the distance Rachel covers per hour is 3.5 miles.

8 0
3 years ago
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