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schepotkina [342]
3 years ago
14

Let f(x) = |x|, where x can be any real number. Write a formula for the function whose graph is the

Mathematics
1 answer:
andrew11 [14]3 years ago
3 0

Answer:

y = 5f(x)

Please see the picture below

Step-by-step explanation:

Given the function f(x) = |x|, to transform the function y=f(x) with a vertical scaling with scale factor of 5, you should multiply the function by 5 to obtain the result;

y = 5f(x)

Please see the picture below to see a graphic solution.

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What is the square root of a football
anzhelika [568]

Answer:

4.583 short side and 5.291502622129181 long side

Step-by-step explanation:

did this help

4 0
4 years ago
Monica is attempting to factor the expression 18x2 + 27x – 5. In her first step, she rewrites the expression as 18x2 + 32x – 5x
lisabon 2012 [21]

Answer:

B


Step-by-step explanation:

For quadratic expression in this form, the first step is to multiply the number in front of x^2 with the last term, the constant (with the sign in front as well). This is the "multiplied number".

Step 2 is to come up with 2 numbers which when multiplied is equal to the "multiplied number" in step 1 above and also add to the number in front of x.


For this problem, we would need 2 numbers that

  • Add up to 27, and
  • When multiplied, comes to -90 <em>(18 * -5 = -90)</em>

They already found the 2 numbers as expressed in the form shown  18x^2+32x-5x-5. The 2 numbers are +32 and -5.


<em><u>Do they add up to 27, as required?</u></em>

Yes, 32-5=27

<u><em>Do they come to -90 when multiplied?</em></u>

No, 32 * -5 = -160


Hence, they add up, BUT NOT multiplied.

So the answer choice B is right.

5 0
3 years ago
A square is cut in half on the diagonal creating two equal triangle. Each triangle has an are of 1.32 square units. What is the
Ymorist [56]
What is the side length in unit of the original square?

Let's start by getting the area of the square.
The area of the square is the sum of the areas of the two triangles, or
2 x 1,32  = 2.64 square units.
Now, all sides of a square are the same length. That is the length we need, let's call that length L.
So, the area of the square is L x L = 2.64 square units, which is the same as the square root of 2.64

8 0
3 years ago
Can some one help me. The QN is SIMPLIFY BY RATIONALISING DENOMINATOR.
WITCHER [35]

Answer:

\frac{10}{3} - \frac{2\sqrt{7} }{3}

Step-by-step explanation:

Rationalise the denominator by multiplying the numerator/ denominator by the conjugate of the denominator

the conjugate of \sqrt{7} + 5 is \sqrt{7} - 5, hence

12 / (\sqrt{7} + 5) × (\sqrt{7} - 5 ) / (\sqrt{7} - 5)

= (12\sqrt{7} - 60 ) / - 18

= \frac{10}{3} - \frac{2\sqrt{7} }{3}


5 0
3 years ago
Solve for x. enter your answer in interval notation using grouping symbols x^2+11x&lt;-18
Nana76 [90]
Move the -18 across so that x^2+11x+18<0
then solve as if equal to 0
(x+9)(x+2)<0
x=-9 and x=-2 put these on a graph and it is less than 0 when within the graph hence  x>-9 and x<-2
5 0
3 years ago
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