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Len [333]
2 years ago
5

The sum of a number x and -7 is less than or equal to 18.

Mathematics
1 answer:
pishuonlain [190]2 years ago
5 0

Step-by-step explanation:

x + (-7) ≤ 18

x - 7 ≤ 18

x ≤ 18 + 7

x ≤ 25

Value of x is less than or equal to 25

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Step-by-step explanation:


4 0
3 years ago
Which transformations to the graph of j(x) would result in the graph of j(4x) – 27?
Grace [21]

Answer:

Option D.

Step-by-step explanation:

It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

f(x)=j(4x)-27          ... (1)

The translation is defined as

f(x)=j(kx+a)+b                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

Therefore, the correct option is D.

6 0
2 years ago
Find the product. -7(8 + k)
Alecsey [184]
The product = -56 -7k
6 0
3 years ago
An astronaut weighs 174 pound on earth and 29 pound on the moon, if his daughter weighs 108 pounds on earth, what is his daughte
jekas [21]

Answer:

If my thinking is right she should weigh about 18 pounds or so.

Step-by-step explanation:

17% of 174 is 29

17% of 108 is 18

4 0
3 years ago
Samuel took an antique clock that his grandfather had purchased, to be appraised. The appraiser evaluated the current price of t
andrew11 [14]
This is an exponential growth problem. Exponential growth can be expressed mathematically in the following way: 
y=a (1+r)^{t}.
Parameter a presents initial amount.
Parameter r is percentage increase. 
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An equation that would describe given problem is:
y=400 (1+0.02)^{t}
t is the time in years.
I attached the graph of this function.

6 0
3 years ago
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