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rewona [7]
3 years ago
12

If G (x) = 1/x were shifted 2 untold to the left and 2 united up, what would the new equation be?

Mathematics
1 answer:
klemol [59]3 years ago
6 0

Horizontal translation are obtained by the following transformation:

f(x)\mapsto f(x+k)

In particular, you translate k units to the left if k>0, k units to the right if k<0.

Similarly, vertical translation are obtained by the following transformation:

f(x)\mapsto f(x)+k

In particular, you translate k units up if k>0, k units down if k<0.

So, you proceed like this: start with

G(x)=\dfrac{1}{x}

Translate 2 units to the left:

G(x+2) = \dfrac{1}{x+2}

Translate 2 units up:

G(x+2)+2 = \dfrac{1}{x+2}+2

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You need to buy tissue paper sheets to cushion gifts being placed inside a box. The box is 12 inches wide by 16 inches long. The
Kay [80]

Answer:

Area of tissue paper is 384 square inches.

Step-by-step explanation:

Given:

Length of box = 16 inches.

Width of the box = 12 inches.

We need to find find the area of the tissue paper.

But It is given that the area of the tissue paper sheet is based on twice the length times the width of the box.

Hence Framing in equation form we get;

Area of tissue paper = 2(length\ of \ box \times width \ of \ box)

Hence Substituting the given values we get;

Area of tissue paper = 2(12\times 16) = 2\times 192 = 384 in^2

Hence Area of tissue paper is 384 square inches.

7 0
3 years ago
Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following.
bonufazy [111]
4.
h(f(x)=h(2x-1)=
(2x-1)^2+1=
4x²-4x+1+1=
4x²-4x+2

5.
f(f(x))=2(2x-1)-1=4x-2-1=4x-3

6.
f o g (x)=f(g(x))
h o g (x)=h(g(x))=
(3x)^2+1=
9x²+1
4 0
3 years ago
School A and B are competing in an academic contest. at the beginning of the final round, school A has 174 points and school B h
zhenek [66]

Answer:

Step-by-step explanation:

First add 11 then -69

4 0
3 years ago
Read 2 more answers
If g(x) = 4 square root of x then g(45) is
AlladinOne [14]
Hi,

So we have g(x) = 4√(x).  We're looking for g(45).  Think of it like this: whatever number is in the place of x in g(x), just place that number AS x.

Therefore, we have :
g(45) = 4√(45) ⇒ (4) × (√(45)) ⇒ (4)(3√(5)) = 12√(5).

-Hope this helps!
5 0
3 years ago
Ms. Mor ris has 35 tests to grade this weekend. Mrs. Cook has 80% more tests than that to grade this weekend. How many tests doe
Serga [27]

Answer:

Mrs. Cook has to grade 63 tests.

Step-by-step explanation:

In order to find the answer, first you have to calculate 80% of the number of tests Ms. Morris has:

35*80%= 28

Then, you have to add the number that represents 80% to the number of tests Ms. Morris has to grade:

35+28=63

According to this, the answer is that Mrs. Cook has to grade 63 tests.

8 0
3 years ago
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