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3 years ago

Let f(x)=x2 and g(x)=x−6. Find (f◦g)(−1).

Mathematics

1 answer:

rewona [7]3 years ago

5 0

Answer:

(f◦g)(−1) = -14

Step-by-step explanation:

First solve for g(x). g(x) = -1 - 6 = -7. Then plug -7 into f(x). f(x) = (-7)(2) = -14

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The sum of two rational numbers is -8. if one of the is -8/17, find the other. plz help me

Vesnalui [34]

<h2>Step-by-step explanation:</h2>

-5/7 + x = -1

(-5+7x)/7 = -1

-5 + 7x = -7

7x = -2

please change the digit as per ur QUESTION

6 0

3 years ago

Read 2 more answers

Mrs. Daly's reading classes were surveyed about their reading preferences. The data is summarized in the table below.

andriy [413]

Answer:

Required probability is 0.19

Step-by-step explanation:

The two-way table for the given data is,

Fiction Non-Fiction Total

9th grade 35 8 43

10th grade 52 12 64

Total 87 20 107

It is required to find the probability of the students who prefer to read non-fiction novels, given that they are in 9th grade.

That is, to find the conditional probability $P(Non-fiction| 9th\ grade)$ .

Now, $P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}$

So, we get,

$P(Non-fiction| 9th\ grade)=\dfrac{(Non-fiction\bigcap 9th\ grade)}{P(9th\ grade)}\\\\P(Non-fiction| 9th\ grade)=\dfrac{8}{43}\\\\P(Non-fiction| 9th\ grade)=0.19$

<h3>Thus, the required probability is 0.19.</h3>

5 0

3 years ago

4x-10=30<br> 2n-7=30 <br> S/3+2=4

emmasim [6.3K]

Answer:

x=10 n=18.5 s=6

Step-by-step explanation:

4x-10=30

Add 10 to both sides

4x-10+10=30+10

4x=40

Divide by 4 on both sides

(4x)/4=40/4

x=10

2n-7=30

Add 7 to both sides

2n-7+7=30+7

2n=37

Divide by 2 on both sides

(2n)/2=37/2

n=18.5

(s/3)+2=4

Subtract 2 from both sides

(s/3)+2-2=4-2

(s/3)=2

Multiply by 3 on both sides

3s/3=2*3

s=6

6 0

4 years ago

Rational or irrational real numbers

vovikov84 [41]

Answer:

true

Step-by-step explanation:

7 0

3 years ago

2 1/4 x2 1/4 in mixed number

maks197457 [2]

Answer:

$5 \frac{1}{16}$ is the answer.

Step-by-step explanation:

Given:

$2 \frac{1}{4} \times 2 \frac{1}{4}$

<u>Step 1: Converting the mixed fraction into fraction:</u>

Multiply 4 by 2 add 1 to the result.

<u></u> $2\frac{1}{4}$ = $\frac{4 \times 2+1}{4}$

= $\frac{8+1}{4}$

= $\frac{9}{4}$

<u>Step 2: Performing the multiplication using the fraction</u>

= > $\frac{9}{4} \times \frac{9}{4}$

=> $\frac{81}{16}$

<u>Step 3: Converting the product back to mixed fraction </u>

divide 81 by 16 and find the remainder

=> $quotient \frac{remainder}{divisor}$

Dividing 81 by 16 we get 5 as quotient and 1 as remainder

Thus the result in mixed fraction will be

=> $5 \frac{1}{16}$

4 0

3 years ago

Let ​f(x)=x2 and ​g(x)=x−6. Find ​(f◦​g)(−1​).

Let f(x)=x2 and g(x)=x−6. Find (f◦g)(−1).