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3 years ago

Find g(x) where g(x) is the translation 3 units right of f(x)=x^2

Mathematics

1 answer:

Fed [463]3 years ago

6 0

Answer:

g(x) = x^2 -6x +9

Step-by-step explanation:

A function f(x) translated right h units and up k units will become ...

g(x) = f(x -h) +k

You want the function f(x) = x^2 to be translated right h=3 units, so it will become ...

g(x) = f(x -3) = (x -3)^2

g(x) = x^2 -6x +9

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On the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs. If this patte

Allushta [10]

Answer:

16 runs.

Step-by-step explanation:

We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.

We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.

Since we know that formula for nth term of an arithmetic sequence is: $a_n=a_1+(n-1)d$ , where,

$a_n=\text{nth term of the sequence}$ ,

$a_1=\text{1st term of the sequence}$ ,

$n=\text{Number of terms of the sequence}$ ,

$d=\text{Common difference}$ .

Since on the first day Jessie scored 2 runs, so $a_1=2$ and difference between two consecutive terms is 2 (4-2=2), so d will be 2.

Upon substituting our values in arithmetic sequence formula we will get,

$a_n=2+(n-1)*2$

$a_n=2+2n-2$

$a_n=2n$

Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is $a_n=2n$ .

Let us find the 8th term of sequence by substituting n=8 in our sequence formula.

$a_8=2*8$

$a_8=16$

Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.

8 0

3 years ago

To repair computers, Computer

NeTakaya

Difference in base price — $200–$125=$75
Difference in hourly charge — $18–$12=$5
Number of hours for which computer repair shop will cost the same = 75/5
=15 Hours

3 0

3 years ago

Read 2 more answers

A car moved at a speed of 90km/hr for 3 minutes.What distance did it cover?

aniked [119]

Answer:

270kilometers

Step-by-step explanation:

To find the distance, all you have to do is the speed · time

In these types of distance time and word problems, you multiply the other factors, 90 and 3, The time(T) · The speed(S)

So. 90(S) · 3(T) = 270(D)

5 0

3 years ago

Solve 2csc^2x-2cscx-1=0 <br> for 0° ≤ x ≤ 360°

umka21 [38]

Answer:

Step-by-step explanation:

2 csc²x-2 csc x-1=0

$\frac{2}{sin^2x} -\frac{2}{sin x} -1=0\\multiply~by~sin^2x\\2-2sin~x-sin^2x=0\\sin^2x+2sinx-2=0\\sin ~x=\frac{-2 \pm\sqrt{2^2-4*1*(-2)} }{2*1} \\=\frac{-2 \pm\sqrt{4+8} }{2} \\=\frac{-2 \pm\sqrt{4*3} }{2} \\=\frac{-2 \pm2\sqrt{3} }{2} \\=-1\pm\sqrt{3} \\|sin~x| \le ~1\\so~sin~x=-1+\sqrt{3} \\sin~x=\sqrt{3} -1\\x=sin^{-1}(\sqrt{3} -1) \approx 47.06^\circ,180-47.06\\or~x=47.06^\circ,132.94^\circ$

6 0

3 years ago

In the past ten years, the population of a city decreased from 90,000 to 75,000 Find the percent decrease.

vfiekz [6]

The answer is 31.5%.

8 0

3 years ago