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2 years ago

Given that (- 2, 7) is on the graph of f(x) , find the corresponding point for the function f(x + 4).

Mathematics

1 answer:

AveGali [126]2 years ago

3 0

Answer:

$\boxed{\ the \ corresponding\ point\ is \ (-6,7)\ }$

Step-by-step explanation:

We know that f(-2)=7

x+4 = -2 <=> x = -6

so f(-6+4) = f(-2)=7

then the corresponding point is (-6,7)

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If the water level in a lake drops by 14 feet, the water level will still be higher than the 20-foot mark that triggers restrict

maria [59]

Answer:

A is correct

Step-by-step explanation:

Here, we want to write an inequality

If the water level drops by 14 feet

what this mean is that we are subtracting 14 from the original level L

Thus, we have

L-14

Higher than 20 means that we have;

L-14 > 20

L > 20 + 14

L > 34

8 0

2 years ago

Simplify each expression.<br>- 13 x 12

Paraphin [41]

Answer:

-156

Step-by-step explanation:

You have to multiply both figures and then choose the symbol on the largest number, its that symbol. Hope u choose the correct one :p

3 0

3 years ago

Read 2 more answers

F(x)=x^2+12x+7 f(x)=(x+_)^2+_ Rewrite the function by completing the square

Veseljchak [2.6K]

Answer:

f(x) = (x + 6)² - 29

Step-by-step explanation:

Given

f(x) = x² + 12x + 7

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

x² + 2(6)x + 36 - 36 + 7

= (x + 6)² - 29, thus

f(x) = (x + 6)² - 29

6 0

3 years ago

A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee

katrin [286]

Answer: A) 1260

Step-by-step explanation:

We know that the number of combinations of n things taking r at a time is given by :-

$^nC_r=\dfrac{n!}{(n-r)!r!}$

Given : Total multiple-choice questions = 9

Total open-ended problems=6

If an examine must answer 6 of the multiple-choice questions and 4 of the open-ended problems ,

No. of ways to answer 6 multiple-choice questions

= $^9C_6=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!3!}=84$

No. of ways to answer 4 open-ended problems

= $^6C_4=\dfrac{6!}{4!(6-4)!}=\dfrac{6\times5\times4!}{4!2!}=15$

Then by using the Fundamental principal of counting the number of ways can the questions and problems be chosen = No. of ways to answer 6 multiple-choice questions x No. of ways to answer 4 open-ended problems

= $84\times15=1260$

Hence, the correct answer is option A) 1260

5 0

3 years ago

Find the distance between the pair of points: (4,0) and (2,-1)

Marysya12 [62]

The distance is 2.23606 (2.24 rounded)

6 0

1 year ago