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Ivenika [448]
3 years ago
6

Use the table below to answer this question:

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

Step-by-step explanation:

Th average rate of change is the slope of the secant line that goes through those 2 values of x.  Of course, each value of x also has a value of y.  The coordinates for these combinations of x's and y's are:

(-1, 5) and (4, 0).  We can use the slope formula to find the average rate of change of this function without having to know what the function's equation is:

m=\frac{0-5}{4-(-1)}=\frac{-5}{5}=-1

So the average rate of change, aka slope, between those 2 points is -1

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Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.
MrRa [10]

Answer:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

<em>Therefore the numbers are 6, 18, and 30 </em>

<em />

7 0
4 years ago
16 increased by twice a number is -24 what is the solution?
Lynna [10]

Let x = the number.

"increased by" tells you we are adding.

"twice a number" tells you 2 times a number.

16 + 2x = - 24

Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.

2x = - 24 - 16

2x = - 40

Divide by 2 to isolate the variable.

x = - 40/2 = - 20

Your solution is - 20.

To check your answer, plug in.

16 + 2(-20) = - 24

16 - 40 = - 24

- 24 = - 24

3 0
3 years ago
PLEASE HELP WORTH 15 PTS!!!!1
zimovet [89]
It looks like the terms are:
(7x2 + 5) and (x - 3)
6 0
3 years ago
Read 2 more answers
7. Name three non-collinear points?<br> JNL<br> JKL<br> оооо<br> KNR<br> LKJ
KIM [24]

Answer:

JNL,JKL,KNR are three non-collinear points

5 0
4 years ago
At a pet store, one fifth of the animals are cats and three-fourth are fish. There are 40 animals at the pet store. How many are
dybincka [34]

Answer:

2 animals

Step-by-step explanation:

Number of animals=40

Fraction of fish=3/4

=>number of fish=3/4*40=30

Fraction of cats=1/5

=>number of cats=1/5*40=8

Animals which are not cats or fish are=total number of animals-(number of cats + number of fish)

Animals which are not cats or fish=40-(8+30)

40-38

2 animals


7 0
3 years ago
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