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Norma-Jean [14]
2 years ago
7

Suppose the x intercept of the graph of y=f(x) are 2 and 3. what are the x-intercepts of y=8f(x)

Mathematics
1 answer:
Yuliya22 [10]2 years ago
6 0

We are given: Function y=f(x).

First x-intercept of the y=f(x) is 2.

x-intercept is a point on x-axis, where y=0.

Replacing y by 0 and x by 2 in above function, we get

0=f(2)

Second x-intercept of the y=f(x) is 3.

Replacing y by 0 and x by 2 in above function, we get

0=f(3)

We are given another function y=8f(x).

Here only function f(x) is being multiplied with 8.

That is y values of function should be multiply by 8.

Because we have y value equals 0. On multiplying 8 by 0 gives 0 again and it would not effect the values of x's.

Therefore,

x-intercepts of y=8f(x) would remain same, that is 2 and 3.

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A rectangle is 30 cm long and 10 cm wide. What's the ratio of the rectangle's length to its width?
Veseljchak [2.6K]

Answer:

3: 1

Step-by-step explanation:

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6 0
2 years ago
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7 0
3 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x2+3x-8?
Basile [38]

Answer:

Step-by-step explanation:

The given quadratic equation is

2x^2+3x-8 = 0

To find the roots of the equation. We will apply the general formula for quadratic equations

x = -b ± √b^2 - 4ac]/2a

from the equation,

a = 2

b = 3

c = -8

It becomes

x = [- 3 ± √3^2 - 4(2 × -8)]/2×2

x = - 3 ± √9 - 4(- 16)]/2×2

x = [- 3 ± √9 + 64]/2×2

x = [- 3 ± √73]/4

x = [- 3 ± 8.544]/4

x = (-3 + 8.544) /4 or x = (-3 - 8.544) / 4

x = 5.544/4 or - 11.544/4

x = 1.386 or x = - 2.886

The positive solution is 1.39 rounded up to the nearest hundredth

8 0
3 years ago
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Eight is less than twice what number?<br> 8 &lt; 2n<br> 8 &lt; 2 - n<br> n &lt; 8 × 2<br> 2 &lt; 8n
tamaranim1 [39]

Answer:

8 < 2n

Step-by-step explanation:

The number is n

Twice the number is 2n

So eight is less than twice what number is 8 < 2n

4 0
3 years ago
-5,-1,3,7......<br> Write the first term a and the common difference d
VMariaS [17]
The appropriate formula here is l = a + (n-1)d, where l represents the last term.

Here the first term is -5 and the common difference is +4.  Thus,

l = -5 + (n-1)(4)    (answer)

Check:  we are given the arith sequence -5, -1, 3, 7.    Does our formula correctly predict the 1st term?  l = -5 + (1-1)(4) = > -5.  Yes.
Does it correctly predict the 3rd term?  l = -5 +(3-1)(4) => -5+2(4) = 3.  Yes
8 0
2 years ago
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