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monitta
3 years ago
11

The graph shows the function f(x).

Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0
As shown on the graph the 2 points mentioned have the following coordinates:

A(7,19) & B(11,11), That is A(x₁,y₁) & B(x₂,y₂)

the rate of change between A & B is the slope that is equal to:

slope = rate of change = (y₂-y₁) / (x₂-x₁) ==>(11-19) / (11-7) = (-8) / (4)

Rate of change = -2
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A new carpet cleaning company claims that they can clean 3 times as many carpets in 1 week as another company. If both companies
inna [77]

Answer:

The number of carpets cleaned by new company per week  is 249

Step-by-step explanation:

Let us assume :

The number of carpets cleaned by old company in 1 week = m

So, the number of carpets cleaned by new company in 1 week

= 3 x ( Number of carpets cleaned by old company)

 = 3 (m) = 3 m

Total carpet cleaned altogether in a week  = 332

So, Total Carpets cleaned by both companies in 1 week

= Number of carpets cleaned by ( Old + New) company in 1 week.

=  m + 3  m =  4 m

⇒  4  m = 332

or, m = 332 / 4 = 83  , or m = 83

Hence number of carpets cleaned by old company per week = m = 83

The number of carpets cleaned by new company per week

= 3 m =  3 x 83= 249

8 0
3 years ago
£38.40 divided by 16
Nikitich [7]
It is 2.4 because 16 goes twice and the remainder is 4
4 0
3 years ago
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Find the y-intercept from the line passing through (1, 3) and having slope m=2.
Troyanec [42]

Answer:

The y intercept is 1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 2x+b

Substitute the point into the equation and solve for y

3 = 2(1)+b

3 =2+b

1 = b

The y intercept is 1

8 0
2 years ago
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What's the length of side b in the figure below? I posted a picture so you can view the actual problem. Please help.
svetoff [14.1K]

we know that

in the right triangle of the figure

Applying the Pythagorean Theorem

13^{2} =b^{2} +7^{2} \\ b^{2} =13^{2}-7^{2}\\ b^{2}=120\\ b=\sqrt{120} \ cm

therefore

the answer is the option

C) b=\sqrt{120} \ centimeters

6 0
3 years ago
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Identify the stem of the following number: 231. <br> A. 1 <br> B. 2 <br> C. 3 <br> D. 23
Kruka [31]
stem = 23
leaf = 1

Answer is choice D

The leaf is always a single digit because you can have multiple leaves without any separating mark. If you have something like "123" on the leaf column, then that means you have three leaves of 1, 2 and 3 which correspond to the same stem.
8 0
3 years ago
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