Mathematics College

Jess spent 7x minutes on the computer. Her sister spent 5 x + 10 minutes on the computer, which was the same amount of time Jess spent. How many minutes was Jess on the computer?

Answers

Answer 1
7x = 5x + 10
-5x   -5x
2x = 10
x = 5

7(5) = 35 minutes

Jess spent 35 minutes on the computer
Answer 2

Answer: 35 minutes

Step-by-step explanation:

Given : Jess spent 7x minutes on the computer.

Her sister spent 5 x + 10 minutes on the computer, which was the same amount of time Jess spent.

Thus , we have

[tex]7x=5x+10[/tex]

Subtract 5x from both the sides , we get

[tex]2x=10[/tex]

Divide both sides by 2, we get

[tex]x=5[/tex]

Now, the time spent by Jess = 7(5)=35 minutes

Hence, Jess was 35 minutes on computer.

Related Questions

The selling price for a classic car is $16000 which is. $1000 more than three times its original price. What was the original price of the car?

Answers

The original price of the classic car was $5,000

The student's question seeks to determine the original price of a classic car, given that the selling price is $16,000, which is $1,000 more than three times its original price. To find the original price, we can set up an equation: let the original price be represented by x. The equation based on the information provided would be:

3x + $1000 = $16000

Subtracting $1000 from both sides to isolate the terms with x gives us:

3x = $16000 - $1000

3x = $15000

Finally, dividing both sides by 3 to solve for x, we get:

x = $15000 / 3

x = $5000

Therefore, the original price of the car was $5000.

The original price of the car was $5000

Let the original price of the car be  x.

According to the problem, the relationship between the original price and the selling price can be described by the following equation:

[tex]\[ 3x + 1000 = 16000 \][/tex]

To find x :

Isolate  x on one side :

  Subtract  1000 from both sides to remove the extra cost:

[tex]\[ 3x = 16000 - 1000 = 15000 \][/tex]

Solve for  x :

  Divide both sides by 3:

[tex]\[ x = \frac{15000}{3} = 5000[/tex]

Thus, the original price of the car was $5000.  

Question :  

The selling price for a classic car is $16000 which is. $1000 more than three times its original price. What was the original price of the car?

Please help. A spinner had 7 identical sections. Two sections are blue, 1 us red, and 4 of the sections are green. Suppose the probabilty of an event happening is 2/7 (fraction). What does each number in the ratio represent? What outcome matches this probability?

Answers

Note that 7 represents each of the different 7 regions in the spinner. 

1 would represent the red region, as there is one red region.

4 would represent the 4 green regions. Thus, 2 represents the 2 blue regions.



Note that as the spinner spins, no matter which region is colored with which color, the probability of hitting a blue region is [tex]\displaystyle{ \frac{2}{7}[/tex], as out of 7 regions we can hit, 2 are blue.

(Naturally enough, the greater the number of regions of a certain color, the greater the probability of hitting a region of that color.)


7 is the number of the elements in the sample space.

2 is the number of the elements in the event: "hitting blue".

This probability, as mentioned earlier, is matched by the outcome "hitting blue."

A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?

Answers

Final answer:

The height of the cylinder is 8mm.

Explanation:

To find the height of the cylinder, we need to first find the surface area of the sphere. The surface area of a sphere is given by the formula: 4πr^2. Since the diameter of the sphere is 16mm, the radius is half of that, which is 8mm. Plugging the value of the radius into the formula, we get: 4π(8^2) = 256π mm^2.

Next, we need to find the surface area of the cylinder. The base diameter of the cylinder is equal to the diameter of the sphere, which is 16mm. Therefore, the radius of the cylinder is also 8mm. The surface area of the cylinder is given by the formula: 2πrh + 2πr^2. Since the height is unknown, we'll use a variable 'h'.

Since the surface area of the sphere is equal to the surface area of the cylinder, we can set up an equation: 256π = 2πrh + 2πr^2. Plugging in the values, we get: 256π = 2π(8)(h) + 2π(8^2).

Cancelling out the common factor of 2π, we have the equation: 128 = 8h + 64. Subtracting 64 from both sides of the equation, we get: 64 = 8h. Dividing both sides by 8, we find that the height of the cylinder is: h = 8mm.

find the sum and express it in simplest form. (ab+4a-6)+(ab+6)

Answers

= 2ab + 4a + 6 - 6

= 2ab + 4a

you can factor this  to 2a(b + 2)
Rewrite    (ab+4a-6)+(ab+6)    vertically:

  ab+4a-6)
+ab     +6
--------------------
2ab + 4a   (answer)

i already asked this but could you please help me on E F G H four questions on stimultaneous equations. There is also an attachment.

ASAP Thank You So Much

Answers

e)

[tex]\bf \begin{cases} x^2-2xy-y^2=7\\ x+y=1\implies \boxed{y=1-x} \end{cases} \\\\\\ x^2-2x(1-x)-(1-x)^2=7 \\\\\\ x^2-2x+2x^2-(1-2x+x^2)=7 \\\\\\ \underline{x^2-2x}+2x^2-1\underline{+2x-x^2}=7\implies 2x^2-1-7 \\\\\\ 2x^2=8\implies x^2=\cfrac{8}{2}\implies x^2=4\implies x=\sqrt{4}\implies \begin{cases} x=2\\ -----\\ \boxed{y=1-x}\\ y=-1 \end{cases}[/tex]

f)

[tex]\bf \begin{cases} 3x^2-x-y^2=0\\ x+y-1=0\implies \boxed{y=1-x} \end{cases} \\\\\\ 3x^2-x-(1-x)^2=0\implies 3x^2-x-(1-2x+x^2)=0 \\\\\\ 3x^2-x-1+2x-x^2=0\implies 2x^2+x-1=0 \\\\\\ (2x-1)(x+1)=0\implies x= \begin{cases} -1\\ \frac{1}{2} \end{cases}\qquad y= \begin{cases} \boxed{1-x}\\ 2\\ \frac{1}{2} \end{cases}[/tex]


g)

[tex]\bf \begin{cases} 2x^2+xy+y^2=22\\ x+y=4\implies \boxed{y=4-x} \end{cases} \\\\\\ 2x^2+x(4-x)+(4-x)^2=22 \\\\\\ 2x^2+4x\underline{-x^2}+16-8x\underline{+x^2}=22\implies 2x^2-4x+16=22 \\\\\\ 2x^2-4x-6=0\implies x^2-2x-3=0 \\\\\\ (x-3)(x+1)=0\implies x= \begin{cases} -1\\ 3 \end{cases}\qquad y= \begin{cases} \boxed{4-x}\\ 5\\ 1 \end{cases}[/tex]

h)

[tex]\bf \begin{cases} x^2-4y-y^2=0\\ x-2y=0\implies \boxed{x=2y} \end{cases} \\\\\\ (2y)^2-4y-y^2=0\implies 4y^2-4y-y^2=0\implies 3y^2-4y=0 \\\\\\ y(3y-4)=0\implies \begin{cases} y=0\\ -----\\ 3y-4=0\\ 3y=4\\ y=\frac{4}{3} \end{cases}\qquad x= \begin{cases} \boxed{2y}\\ 0\\ \frac{8}{3} \end{cases}[/tex]

Mike, therese, tristan, and elena want to improve their fico credit score. mike uses 10% of his credit limit, therese uses 30% of her limit, tristan uses 50% of his limit, and elena uses 75% of her limit. who is improving their score the most?

Answers

The answer is Mike.
Mike is improving the score most as he uses 10% of the credit limit.
The one who uses less percent of his credit limit will improve his/her score and the one who uses greater percent of his credit limit will less improve his scores.

While on a one-hour trip, a small boat travels 32 km north and then travels 45 km east. what is the direction of the boat's average velocity for the one-hour trip? 27° north of east 35° north of east due east 54° north of east 45° north of east?

Answers

Sent a picture of the solution to the problem (s).

The boat average velocity for the one hour trip is 54° north of east.

What is Average velocity?

Average velocity is defined as the change in position divided by the time interval in which the displacement occurs.

Given that;

A small boat travel 32 km north and then travels 45 km east.

Now,

Average velocity is calculated as;

By figure,

Average velocity = cotθ = 32/45

θ = cot⁻¹ (32/45)

θ = 54°

Thus, The boat average velocity for the one hour trip is 54° north of east.

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pam read 126 pages of her summer reading book in 3 hours. Zack read 180 pages of his summer reading book in 4 hours. If they continue to read at same speeds, will they both finish the 215 page book after 5 total hours of reading?

Answers

Well, you will need to find out how much each person reads per hour. To find that out, you will need to divide 126 by 3, resulting in 41 pages an hour. If you do the same thing with Zack, you will be able to find out that he reads 45 pages an hour. Now, you will need to multiply the number of pages per hour by 5! if you multiply 41 by 5, you get 205 pages. If you multiply 45 by 5, you get 225 pages. Pam isnt able to read more than 215 pages in 5 hours, but Zack is able to.
First find how many pages each has left to read. 215-126=89
215-180=35.
Then set up a proportion for first reader. 3hours/126pages=x hours/89pages. This will give you the rate it would take to finish 89 pages.
3/126=x/89
267/126=x
2.12=x......
Therefore at that rate the reader will not meet the time limit. (3+2.12=5.12>5)

Do the same thing for reader 2
4/180=x/35
140/180=x
.78
4+.78=4.78<5
Reader 2 will make it

round 23.84 to 1 decimal point

Answers

23.8 is that all you need 

8. Based upon a long period of record keeping the following represents the probability distribution of the number of times the John Jay wifi network is slow during a week. We call the random variable x.

x 0 1 2 3 4 5 6
p(x) .08 .17 .21 k .21 k .13

a. What is the value of k?

b. Calculate the expected value of x.

c. Calculate the expected value of x^2
.

d. Calculate the variance of x.

e. Calculate the standard deviation of x

f. Calculate the variance of 3x.

g. Suppose that network slowness is independent from week to week. What is the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks?

h. Calculate the variance of the random variable x^2

Answers

Given a table representing the probability distribution of the number of times the John Jay wifi network is slow during a week. We call the random variable x.

[tex]\begin{tabular} {|c|c|c|c|c|c|c|c|} x&0&1&2&3&4&5&6\\[1ex] p(x)&.08&.17& .21& k& .21& k& .13 \end{tabular}[/tex]
 


Part A:

The total value of p(x) = 1.

Thus,

.08 + .17 + .21 + k + .21 + k + .13 = 1

0.8 + 2k = 1

2k = 1 - 0.8 = 0.2

k = 0.2 / 2 = 0.1

Therefore, the value of k is 0.1



Part B:

The expected value of x is given by

[tex]E(x)=\Sigma xp(x) \\ \\ =0(0.08)+1(0.17)+2(0.21)+3(0.1)+4(0.21)+5(0.1)+6(0.13) \\ \\ =0+0.17+0.42+0.3+0.84+0.5+0.78=3.01[/tex]

Therefore, the expected value of x is 3.01



Part C:

The expected value of [tex]x^2[/tex] is given by

[tex]E(x^2)=\Sigma x^2p(x) \\ \\ =0^2(0.08)+1^2(0.17)+2^2(0.21)+3^2(0.1)+4^2(0.21)+5^2(0.1)+6^2(0.13) \\ \\ =0(0.08)+1(0.17)+4(0.21)+9(0.1)+16(0.21)+25(0.1)+36(0.13) \\ \\ =0+0.17+0.84+0.9+3.36+2.5+4.68=12.45[/tex]

Therefore, the expected value of [tex]\bold{x^2} [/tex] is 12.45



Part D:

The variance of x is given by

[tex]Var(x)=E(x^2)-(E(x))^2 \\ \\ =12.45 - (3.01)^2=12.45-9.06 \\ \\ =3.39[/tex]

Therefore, the variance of x is 3.39.



Part E

The standard deviation of x is given by

[tex] \sqrt{Var(x)} = \sqrt{3.39} =1.84[/tex]

Therefore, the standard deviation of x is 1.84.



Part F:

The variance of ax, where a is a constant is given by

[tex]Var(aX)=a^2Var(X)[/tex]

Thus, the variance of 3x is given by

[tex]Var(3X)=3^2Var(X)=9(3.39)=30.51[/tex]

Therefore, the variance of 3x is 30.51.



Part G:

The probability that the network has no more that 4 slow times in one week is given by

[tex]P(x\leq4)=P(0)+P(1)+P(2)+P(3)+P(4) \\ \\ =0.08+0.17+0.21+0.1+0.21=0.77[/tex]

Since, the network slowness is independent from week to week, the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks is given by

[tex](0.77)^5=0.27[/tex]

Therefore, the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks is 0.27



Part H:

The variance of x^2 is given by

[tex]Var(x^2)=E((x^2)^2)-(E(x^2))^2=E(x^4)-(E(x^2))^2[/tex]

[tex]E(x^4)=\Sigma x^4p(x) \\ \\ =0^4(0.08)+1^4(0.17)+2^4(0.21)+3^4(0.1)+4^4(0.21)+5^4(0.1) \\ +6^4(0.13) \\ \\ =0(0.08)+1(0.17)+16(0.21)+81(0.1)+256(0.21)+625(0.1)\\+1,296(0.13) \\ \\ =0+0.17+3.36+8.1+53.76+62.5+168.48=296.37[/tex]

Thus,

[tex]Var(x^2)=296.37-(12.45)^2=296.37-155.00=141.37[/tex]

Therefore, the variance of the random variable [tex]\bold{x^2}[/tex] is 141.37

Answer:k=2

Step-by-step explanation:

Ramon correctly answered 80% of the questions on his math test. Which of the following does NOT represent the part of the questions Ramon answered correctly?

Answers

20%

100%(total points possibly given)
- 80% (points received)
equals 20%
Final answer:

The concept of percentages indicates that if Ramon answered 80% of the questions correctly in a test, it means he correctly answered a higher proportion of questions than the statement '30% of the students answered 16 or more questions correctly' would imply. Therefore, this statement does not represent the part of a test that Ramon answered correctly.

Explanation:

This question concerns the concept of percentages in mathematics. The information provided indicates that Ramon correctly answered 80% of the questions on his math test. This implies that if the test had 100 questions, Ramon correctly answered 80 questions. Now let's consider the statement in the choices: '30% of the students answered 16 or more questions correctly.' This is in stark contrast to Ramon's result and therefore does not represent the part of the test questions that Ramon answered correctly. The 30% statement is considering the entire class's performance, not Ramon's individual accomplishment. Hence, the aforementioned statement is the one that doesn't represent the part of the questions Ramon answered correctly.

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Enter the solution to the inequality in the box.



−9x−6≥−3(x−4)

Answers

-9x - 6 ≥ -3 (x - 4) ⇒ First, multiply out the -3(x -4) 

-9x - 6 ≥ -3x + 12 ⇒ Then collect all the 'x' term on one side and the constants on the other side

-9x + 3x ≥ 12 + 6 ⇒ Then simplify the like term

-6x ≥ 18 ⇒ Divide both sides by -6

x ≥ -3 ⇒ This is the answer



Answer:

x ≥ -3

Step-by-step explanation:

i used a calculator, please give brainliest

Suppose a​ least-squares regression line is given by modifyingabove y with caret equals 4.302 x minus 3.293y=4.302x−3.293. what is the mean value of the response variable if xequals=2020​?

Answers

The regression equation gives the mean value of the response variable, y, at a specified value of the independent variable, x. So, in order to find the mean value of the response variable, we'll plug the x-value in the equation of the regression line and evaluate it.

In this case, plugging 2020 in for x gives us
y = 4.302(2020) – 3.293 = 8686.75

Which number sentence correctly solves this problem?

There are 44,732 people living in Brownville. There are 17,251 living in Crossville. How many more people live in Brownville than in Crossville?



A.
44,732 + 17,251 = 61,983


B.


44,732 – 17,251 = 33,521


C.


44,732 – 17,251 = 27,481


D.
44,732 + 17,251 = 51,983

Answers

the answer is c because in the problem it said how many more so you have to subtact 44,732 - 17,251 which is 27,481

i got the same question :D

a tool rental cost $0.65 per minute. if the total bill for the rental was $18.20 then for how many minutes was the tool used?

Answers

Wouldn't you do 18.20 divide that by .65 & get 28. So the tool was used for 28 minutes

Destiny works on commission as an office supply saleswoman. She sold a computer that cost $700 and received a $126 commission.

What percent of her sale is Destiny's commission?

Answers

Hello,

If you want to find the percentage of anything, simply divide how much of the total number by the total number. 126 ÷ 700, which is 0.18.

To turn the decimal into a percentage, simply move the decimal place two places to the right, and it is now 18%.

In conclusion, she earned 18% of her sale. Hope this helps! =)

Becca orders a DVD over the internet. The company’s website says the DVD will be send out the following working day. It will arrive no more that 10 working days later. Working days are Monday to Friday. Becca orders her DVD on Wednesday 4 August. What is the latest data Becca will get her DVD?

Answers

August, Wednesday 16th is the latest date that Becca will receive her DVD. Hope this helps :)


Round 227,985 to the nearest thousand.

:227,000
:228,000
:227,900
:230,000

Answers

228,000 would be the answer
the 7 is in the thousands place, the hundreds place is a 9 so you would round up so to the nearest thousand would be 228,000

What does f equal in this equation? 6f-12=-4f+6

Answers

f = 1.8 is the answer
6f - 12 = -4f + 6...add 4f to both sides
6f + 4f - 12 = 6....add 12 to both sides
6f + 4f = 6 + 12 ...simplify
10f = 18...divide both sides by 10
f = 18/10 which reduces to 9/5 or 1 4/5 <=

 Question Help A tourist asked a zookeeper how many birds and lions are in the zoo. The zookeeper replied there are 32 heads and 102 feet. Find the number of each.

Answers

let number of lions be l and number of birds be b.

l + b = 32
4l + 2b = 102....(1)
multiply first equation by 2
2l + 2b = 64.....(2)
Subtract   (1) - (2)i is
2l = 38
l = 19

b = 32-19 = 13

There are 19 lions and 13 birds.

Final answer:

By setting up and solving a system of equations, we find that there are 13 birds and 19 lions in the zoo.

Explanation:

To solve the problem of determining the number of birds and lions in the zoo given 32 heads and 102 feet, we can set up a system of equations. Birds have 2 feet, and lions have 4 feet. Let B represent the number of birds and L represent the number of lions.

Equations:

B + L = 32 (total heads)

2B + 4L = 102 (total feet)

Solving this system, we'll first multiply the first equation by 2 to facilitate elimination:

2B + 2L = 64

2B + 4L = 102

Subtracting the first modified equation from the second equation gives us 2L = 38, so L=19. Substituting L=19 into the first equation, we find B = 32 - 19 = 13.

Therefore, there are 13 birds and 19 lions in the zoo.

convert decimals to fractions do not simplify.

Answers

3. 572/1000      4. 9 23/1000     5. 45/100000   6.  9 875/1000
3) 572/1000 6) 9 875/1000

Sorry I don't know the rest but hopefully this helped

the total cost of 4 pens and 7 mechanical pencils is $13.25 the cost of each pencil is $0.75 write an equation that could be used to find the cost of a pen

Answers

4x+7y=$13.25
4x+ 7($0.75)

We want to create a class that represents a geometric sequence. a geometric sequence is a sequence of numbers that begin at some value and then multiplies each value by some constant to get the next value. for example, the geometric sequence 1, 2, 4, 8, 16 starts at 1 and multiplies each term by 2 to get the next. the geometric sequence 10.8, 5.4, 2.7, 1.35 starts at 10.8 and multiplies each term by 0.5 to get the next. the basic framework of a geometric sequence class is below:

Answers

public class GeometricSequence{        private double initialValue;      private double multiplier; } initialValue = initial; multiplier = mult;
Final answer:

A geometric sequence class in programming can represent a series of numbers where each term is generated by multiplying the previous term by a fixed number. This follows the rules of exponential arithmetic, as seen in examples of exponential increase and decrease.

Explanation:

In the context of programming, the basic framework of a geometric sequence class can represent a geometric sequence, following the rules of exponential arithmetic. In mathematics, a geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

For instance, a geometric sequence that begins at 1 and multiplies each term by 2 would look as follows: 1, 2, 4, 8, 16. Notice that each subsequent term is twice the value of its previous term i.e., an exponential increase.

Similarly, the geometric sequence 10.8, 5.4, 2.7, 1.35 starts at 10.8 and multiplies each term by 0.5, resulting in an exponential decrease. While not directly related to the question, geometric sequences can also be used to calculate geometric probabilities.

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What is the justification for each step in the solution of the equation?

23x−13=2(x+2)23x−13=2(x+2)
Select from the drop-down menus to correctly justify each step.

Answers

Final answer:

The solution involves the application of mathematical properties such as the distributive property, the process of simplifying, the use of additive inverse, and the division property of equality. These steps result in x = 0.81.

Explanation:

To solve the given equation, 23x - 13 = 2(x + 2), let's break down the steps:

First, distribute 2 to each term within the parenthesis on the right side of the equation to apply the distributive property. This leads to 23x - 13 = 2x + 4. Second, gather like terms on both sides of the equation in a process known as simplifying the equation. Subtract 2x from both sides to get: 21x - 13 = 4. Next, you should isolate the variable x, by adding 13 to both sides of the equation. This use of additive inverse results in 21x = 17. Finally, divide each side of the equation by 21 to get x by itself—a step justified by the division property of equality. This results in x = 17/21, which simplifies to x = 0.81 (approximately).

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Final answer:

To solve the equation 23x - 13 = 2(x + 2), distribute the 2, combine like terms, and isolate the variable x.

Explanation:

To solve the equation 23x - 13 = 2(x + 2), we need to simplify both sides of the equation step by step.


 Distribute the 2 to both terms inside the parentheses: 23x - 13 = 2x + 4.
 Combine like terms on the right side of the equation: 23x - 13 = 2x + 4 becomes 23x - 2x = 4 + 13, which simplifies to 21x = 17.
 Isolate the variable x by dividing both sides of the equation by 21: x = 17/21.


Therefore, the solution to the equation is x = 17/21.

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Write 171 miles in 3 hours as a unit rate

Answers

mph is what you are going for

so 171/3 = 57

57mph is your answer

hope this helps

Carly has 2 more nickels than dimes in her pocket she has 40 cents. How many nickels does she have? How many dimes does she have?

Answers

2 dimes and 4 nickels

.10+.10+.05+.05+.05+.05=.40 or 40 cents

She has 4 nickels and 2 dimes

Let x represent the number of dimes

5+(x+2)+19x=40

5x+10x+10=40

15x=40-10

15x=30

x=30/15

x=2

x+2=4

Inconclusion She has 4 nickels and 2 dimes

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Liam has 9/10 gallon of paint for painting the birdhouse he sells at the craft fair. Each birdhouse requires 1/20 gallon of paint.how many birdhouse can Liam paint? Show your work.

Answers

First get common denominators of 20.

9/10 gallons of paint ·2/2= 18/20

(Gallons of paint available)/(Paint required per house)= # of total houses.
(18/20)/(1/20)= 
Dividing by a fraction can be multiplied by reciprocal.

(18/20)x(20/1)=18 birdhouses
In this question, each birdhouse requires 1/20 gallon of paint. From this description you can get this equation:

1 birdhouse= 1/20 gallon of paint

Then 9/10 gallon of paint would equal to: 
9/10 gallon of paint / (1/20 gallon of paint/1 birdhouse)=
9/10 gallon of paint *20 birdhouse / 1 gallon of paint=
180/10 * birdhouse= 18 birdhouse

If EF = 4x − 16, FG = 3x − 6, and EG = 27, find the values of x, EF, and FG.

Answers

The summation of the lengths of Ef and FG would give us the length of EG.
This means that:
EF + FG = EG
4x - 16 + 3x - 6 = 27
7x = 27 + 16 + 6
7x = 49
x = 49/7 = 7

Therefore:
EF = 4(7) - 16 = 12 unit length
FG = 3(7) - 6 = 15 unit length

x^2-3=5x simplify this

Answers

To simplify x^2-3 =5x

You would first subtract 5x from both sides

X^3-5x-3

Next you would plug this into the quadratic equation:

X=5+/- the square root of: -5^2 -4(1)(-3)/2(1)

Then simplify,
5+/- the squareroot of 24 + 12 / 2

5+/- The squareroot of 36 /2

5+/- 6 / 2

Then solve if it’s an addition or subtract

5+6/2

X=11/2 or 5 1/2

5-6/2

X= -1/2

The answer is x=-1/2 or x=11/2

Hope this helps

If f (x)=2x^2+1 and g (x)=3x-2 what is the value of f (g (-2))?

Answers

[tex]\bf \begin{cases} f(x)=2x^2+1\\ g(x)=3x-2\\ \end{cases}\qquad g(-2)=3(-2)-2\implies \boxed{g(-2)=-8} \\\\\\ f(~~g(-2)~~)\implies f\left( \boxed{-8} \right)\implies f(-8)=2(-8)^2+1 \\\\\\ f(-8)=2(64)+1\implies f(-8)=129[/tex]
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