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Anika [276]
3 years ago
13

Use absolute value to express the distance between -12 and -15 on the number line

Mathematics
1 answer:
NARA [144]3 years ago
7 0
C
I-12-(-15)l
l-12+15l
l3l = 3
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Please Help? For the function f(x) = 2|x – 1|, what is the average rate of change over the interval –1 ≤ x ≤ 1?
lesya692 [45]
<h3>Answer:   -2</h3>

========================================================

Explanation:

Plug in x = -1 to find that

f(x) = 2|x-1|

f(-1) = 2|-1-1|

f(-1) = 2|-2|

f(-1) = 2*(2)

f(-1) = 4

If you repeat for x = 1, you should find that f(1) = 0

--------

Now use the average rate of change formula below. Effectively, we're using the slope formula more or less.

m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(1)-f(-1)}{1-(-1)}\\\\m = \frac{0-4}{1+1}\\\\m = \frac{-4}{2}\\\\m = -2\\\\

The average rate of change on this interval is -2

This is the same as finding the slope through the points (-1, 4) and (1, 0).

6 0
3 years ago
10 Mason's can build a wall working 7 hours a day,in 12 days.In how many days can the work be completed by 14 persons working 8
Ronch [10]

Answer:

7 hr * 12 days = 84 hours

10*84 = 840 man-hrs to build the wall

----

14 men * 8 hr = 112 man-hrs/day

840/112 = 7.5 days

Step-by-step explanation:

5 0
3 years ago
X + y + z = 30. 2x + 3y + 4z = 100. Find the value of x, y and z ​
Luba_88 [7]

There are infinitely many solutions for x, y and z.

By elimination, we have

(2x + 3y + 4z) - 2 (x + y + z) = 100 - 2•30

⇒   y + 2z = 40

and

(2x + 3y + 4z) - 3 (x + y + z) = 100 - 3•30

⇒   -x + z = 10

If we let z = t for some real number t, then

y + 2z = 40   ⇒   y = 40 - 2t

-x + z = 10   ⇒   x = t - 10

so any solution to the system is a point belonging to the set

\left\{ (t-10,40-2t,t) \mid t\in\mathbb R\right\}

6 0
2 years ago
Which one is similar
lakkis [162]
2nd answer- The angles are NOT congruent. They have to have the same angles for the figures to be similar.
3 0
3 years ago
5x/9 = 7/11 how do i find x?
Fynjy0 [20]
5x/9 = 7/11

Cross-multiply.

9(7) = 5x(11)

63 = 55x

Divide both sides by 55.

63/55 = x

Done.
5 0
3 years ago
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