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Molodets [167]
4 years ago
11

What is the slope of the line shown below (- 1, 8) (2, - 4)

Mathematics
1 answer:
suter [353]4 years ago
6 0

Answer:

The slope of the line can be determined from the gradient equation, rise (y axis)/ run (x-axis)

Hence let (-1, 8) be A and (2, -4) be B. The slope from A to B is (-4-8)/(2-(-1))= (-12)/3= -4

Hence the gradient/ slope of the line is -4.

Step-by-step explanation:

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The cost of a service call to fix a washing machine can be expressed by the linear function y = 45 x + 35, where y represents th
katovenus [111]

Answer:

the slope represents the cost for each hour it takes to repair the machine.Step-by-step Answer:

We are given that  the cost of a service call to fix  a washing machine can be expressed by the linear function

Where

y=Total cost of  a service to fix  the machine.

x=Number of hours takes to fix the machine

We have to find that slope in this function what represents.

General equation of line is given by

Where m=Slope of line

c=y- intercept

Comparing the general equation with the given function

We get m=45,c=35

m=45 represents the cost for each hour it takes to repair the machine because when number of hours multiplied by 45 then we get total cost of x hours.

Hence, the slope represents the cost for each hour it takes to repair the machine.

8 0
3 years ago
Read 2 more answers
F(x) = x2 - 4.<br> Find the inverse of the function
Lisa [10]

Answer:

f^{-1}(x) = √ x + 4

Step-by-step explanation:

step 1) replace f(x) with y

y = x² - 4

step 2) switch the x and y (because every (x, y) has a (y, x))

x = y² - 4

step 3) add 4 to both sides of the equal sign

x + 4 = y²

step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)

√ x + 4 = y

step 5) you know have the inverse of f(x) = x² - 4

f^{-1}(x) = √ x + 4

5 0
3 years ago
The universal set in this diagram is the set of integers from 1 to 15. Place the integers in the correct place in the Venn Diagr
Dmitry_Shevchenko [17]

Answer:

see image

Step-by-step explanation:


7 0
3 years ago
What is the midpoint​
antoniya [11.8K]

<u>Answer:</u>

(0.5, -0.5)

<u>Step-by-step explanation:</u>

We are given a line segment on the graph with two known points (ending points) and we are to find its mid point.

We know the formula for the mid point:

Midpoint = ( \frac {x_1 + x_2} {2} ,\frac {y_1 + y_2} {2} )

Substituting the coordinates of the given points in the above formula:

Mid point = (\frac {5 + (-4) } {2} , \frac { 6 + (-7)} {2} ) = (0.5, -0.5)

8 0
4 years ago
Read 2 more answers
Danielle wants to paint her daughter's room pink. Which plan will give her paint that is the least red?
NeTakaya

Step-by-step explanation:

Plan B:

2:5 = 0.4 red to 1 white

1:4 = 0.25 red to 1 white

Students might also scale up using part-to-whole-ratios and come up with 35 parts total and 14 parts red for Plan A and 35 parts total and 7 parts red for Plan B.

8 0
3 years ago
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