1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jekas [21]
3 years ago
6

Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point)

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

-15

Step-by-step explanation:

Given : f(x) = 2x + 5

            g(x) = x-7

To Find: solve for f(g(x)) when x = −3

Solution:

f(x) = 2x + 5

g(x) = x-7

f(g(x)) = 2(x-7)+ 5=2x-14+5=2x-9  ---1

Now we are supposed to find f(g(x)) when x = −3

So, substitute x = -3 in 1

f(g(-3)) =2(-3)-9

f(g(-3)) =-6-9

f(g(-3)) =-15

Hence f(g(x)) when x = −3 is -15.

qaws [65]3 years ago
7 0
F(g(x))= 2(g(x))+5 = 2(x-7)+5 = 2x-14+5 = 2x-9
when x= -3
f(g(-3))= 2(-3)-9 = -6-9 = -15
You might be interested in
20 POINTS!!! HELP ME!!!! Use the linear combination method to solve the system of equations. Explain each step of your solution.
madreJ [45]

The solution of the system of equations is (-3 , -2)

Step-by-step explanation:

Steps for Using Linear Combinations Method)

  • Arrange the equations with like terms in columns
  • Analyze the coefficients of x or y
  • Add the equations and solve for the remaining variable
  • Substitute the value into either equation and solve

∵ 3 x - 8 y = 7 ⇒ (1)

∵ x + 2 y = -7 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y are equal in

 magnitude and different in sign

∴ 4 x + 8 y = -28 ⇒ (3)

Add equations (1) and (3)

∵ 3 x - 8 y = 7 ⇒ (1)

∵ 4 x + 8 y = -28 ⇒ (3)

∴ 7 x = -21

- Divide both sides by 7

∴ x = -3

Substitute the value of x in equation (2) to find y

∵ x + 2 y = -7 ⇒ (2)

∵ x = -3

∴ -3 + 2 y = -7

- Add 3 to both sides

∴ 2 y = -4

- Divide both sides by 2

∴ y = -2

The solution of the system of equations is (-3 , -2)

Learn more:

You can learn more about the system of the linear equations in brainly.com/question/13168205

#LearnwithBrainly

7 0
3 years ago
Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geom
Sholpan [36]
Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geometric sequences? III only O Il and me II and IV O I and
3 0
2 years ago
3/2•6-3+5/3•3<br><br> anyone know this ?
Solnce55 [7]
I believe the answers is 11
3 0
3 years ago
. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased
DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is \frac{12}{31}

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

P(A)=\frac{number of favorable cases}{number of possible cases}

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

  • P(A)= the probability that they purchased a green sweater
  • P(B)= the probability that they purchased a gray sweater
  • Mutually exclusive events

You know:

  • 8 purchased green sweaters
  • 4 purchased gray sweaters
  • number of possible cases= 12 + 8 + 4+ 7= 21

So:

  • P(A)=\frac{8}{31}
  • P(B)=\frac{4}{31}
  • P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= \frac{8}{31}+ \frac{4}{31}

P(A∪B)= \frac{12}{31}

<u><em>The probability that they purchased a green or a gray sweater is </em></u>\frac{12}{31}<u><em></em></u>

5 0
3 years ago
Joe walks on a treadmill at a constant rate. The equation below describes the relationship between t, the time he walks in hours
tigry1 [53]

Answer:

3r1ifguqeigdvcig3p1iyrg f837grygqdowgvy

Step-by-step explanation:

qwriug13uorgv[13rhh1worugv

4 0
3 years ago
Other questions:
  • Follow the rule to find the next three numbers in the pattern describe the pattern using the terms even and odd 1,6,11
    14·1 answer
  • What times what is equals 455 in prime numbers
    9·1 answer
  • The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a stand
    10·1 answer
  • Solve the equation Z-19=34
    14·1 answer
  • 1.A pedestrian crosswalk consists of black and white strips each 0.4m wide. The crosswalk begins and ends with a white strip, an
    5·1 answer
  • Someone help please!! oh and pls don’t put any links
    5·1 answer
  • Help me on this please
    5·1 answer
  • While studying medical treatments, scientists noticed a relationship between two of the treatments when applied together. As Tre
    13·2 answers
  • A car is traveling at 25 miles per hour on a residential street. About how many feet does it travel per second?
    14·1 answer
  • The value of a painting rises from £120,000 to £192,000.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!