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Anastaziya [24]
3 years ago
8

What is the common difference between the terms in this arithmetic sequence?

Mathematics
1 answer:
marta [7]3 years ago
3 0
Each number goes up by 6
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Which equation describes how the parent function y=x^3, is vertically streched by a factor of 4
Murljashka [212]

Answer:

y=4x^{3}

Step-by-step explanation:

It is known that,

<em>'Vertical stretch, stretches the function up and down towards the y-axis'.</em>

The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.

As, we have the function y=x^{3} which is stretched by a factor of 4.

Thus, the new function will be y=4x^{3}.

Hence, the equation for the vertical stretch is y=4x^{3}.

8 0
3 years ago
* 9. Two fifths of what number is 120?<br> 2/5
slava [35]

Answer:

300

Step-by-step explanation:

120 ÷ 2/5 = 300

8 0
3 years ago
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A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were tripled what would be the
vagabundo [1.1K]
Originally we have
length = x
width = x-2
since the width is 2 inches smaller than the length

now let's triple each dimension. Multiply the expressions by 3 to get
new length = 3*x
new width = 3*(x-2) = 3x-6

Now onto the area
area = (length)*(width)
area = (3x)*(3x-6)
area = 3x*3x-3x*6
area = 9x^2 - 18x

So the new larger rectangle has area of 9x^2-18x
3 0
3 years ago
Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 4 meters per second. If the slowe
Kazeer [188]

Answer:12.5 seconds

Step-by-step explanation:hconsidering Runner 1 with a speed of 10m/s

and Runner 2 with a speed of 4 m/s

the equation of displacement for a uniform movement is

x=V*t

so x1=V1*t

and x2=V2*t

and the problem condition is x2=x1+75m

so we proceed to solve the equations.

from equation 2 t=x2/V2

substituting in equation 1 we have

x1=V1(x2/V2) and then the 3 equation

x1=V1((x1+75m)/v2

finally x1=75*(V1/(V2-V1)) =75*(10/(10-4))=125m

then t=(x1/v1)=125/10=12.5 seconds

8 0
3 years ago
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Dentify the percent, amount, and base in this problem. 75% of what number is 30?
anastassius [24]

Answer:

40

Step-by-step explanation:

This is essentially just (4/3), or \frac{3}{4}^{-1}. (4/3)*30 = 40, so our answer must be 40. Just to check, taking 75 percent of 40, we indeed get 30!

7 0
3 years ago
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