If f(1)=7, f(5)=-3, f(11)=-9, g(7)=11, g(-3)=6 and g(-9)=1, then find f(g(7))

Answers

Answer 1

The value of the given composite function f(g(7)) will be -9 for the given data.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

f(1)=7

Take the g function on both sides

g(f(1)) = g(7)

Since, g(7) = 11

Thus, Take f function on both sides,

f(g(7)) = f(11)

Since,f(11)=-9

Thus,f(g(7)) = -9

Hence "The value of composite function f(g(7)) is -9".

For more about the linear function,

brainly.com/question/21107621

#SPJ1


Related Questions

Suppose that you roll a fair, six-sided die 10 times. What’s the probability that you get at least one 6?

Answers

Answer:

0.8385, turned into a percentage is 83.9%

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 5 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:210

Step-by-step explanation:

. The electricity cost y, in dollars, to use a
hair dryer for x minutes can be represented
by the equation y = 0.002x. The electricity
cost to use a space heater is shown on the
graph. Which appliance is more expensive
to use? Explain. (Example 4)
Space Heater
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
0
Electricity Cost ($)
y
123456789
Time (min)
X

Answers

Answer:

D)The space heater, because it has the greater unit rate for electricity cost.

Step-by-step explanation:

I DID IT AND GOT IT RIGHT!

the diamter of a circle is 14 yards what is the area of this cirlce

Answers

The area of a circle with diameter of 14 yards is  153.86 yards².

How to find area of a circle?

The diameter of the circle is 14 yards . The area of the circle can be found as follows;

area of a circle = πr²

where

r = radius of a circle

The radius of a circle is half of its diameter.

Therefore,

r = 14 / 2 = 7 yards

Hence,

area of a circle = πr²

area of a circle = 3.14 × 7²

area of a circle = 3.14 × 49

area of a circle = 153.86 yards²

learn more on circle here: https://brainly.com/question/14224644

#SPJ1

please help me! i have a test rn and i am struggling. please send answer ASAP!!

Find an equation for line l,m,n,p

Answers

The linear functions in this problem are given as follows:

Line l: y = 4.Line m: y = -2x + 4.Line n: y = x - 1.Line p: x = -4.

How to define the linear functions?

First we define the horizontal line l, given as follows:

l: y = 4.

(as no matter the value of x, the output variable assumes a value of 4).

Then the vertical line p is defined as follows:

p: x = -4.

(as no matter the value of the output y, the input variable x assumes a value of -4).

For the remaining two lines, they are defined in the slope-intercept format, as follows:

y = mx + b.

In which the coefficients are given as follows:

m is the slope, representing by how much y changes when x is increased by one.b is the y-intercept, representing the value of y when the function crosses the x-axis, that is, when x = 0.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

find the cartesian equation of r=3i+paremeter (i+2j)

Answers

The Cartesian equation will be;

⇒ (x - 3) / 1 = (y - 0)/2

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation is,

⇒ r = 3i + λ (i + 2j)

Where, 'λ' is a parameter.

Now,

Since, The equation is,

⇒ r = 3i + λ (i + 2j)

Where, 'λ' is a parameter.

Hence, The Cartesian equation is find as;

⇒ xi + yj = 3i + λi + 2λj

By compare, we get;

⇒ x = 3 + λ

⇒ y = 2λ

Thus, The Cartesian equation is;

⇒ (x - 3) / 1 = (y - 0)/2 = λ

Therefore, The Cartesian equation will be;

⇒ (x - 3) / 1 = (y - 0)/2

Learn more about the Cartesian equation visit:

https://brainly.com/question/14869452

#SPJ1

Convert the numeral to a numeral in base ten
24^five

Answers

Answer:

14 base 10

Step-by-step explanation:

Remember what the digits mean in the base 10 system we use.

For example, the number 539 (base 10) means:

The 5 in the hundreds place means 5 × 100 = 500.

The 3 in the tens place means 3 × 10 = 30.

The 9 in the ones place means 9 × 1 = 9.

The number 539 means

5 × 100 + 3 × 10 + 9 × 1 = 500 + 30 + 9 = 539

Also keep in mind one more thing. The ones digit means the number of ones. 1 = 10^0. The number in the ones digit means the number if 10^0 you have.

The ten digits is the digit of 10^1.

The hundreds digit is the digit of 10^2 since 10^2 = 100.

In other words, the ones digit is the number of 10^0 you have.

The tens digit is the number of 10^1 you have.

The hundreds digit is the number of 10^2 you have.

Now let's look at base 5.

Here, each place to the left is a successively higher power of 5 instead of a power of 10.

Think of the number 432 base 5.

The 2 is in the units place. it represents the number of 5^0 or ones you have. In this case, it is 2 × 5^0 = 2 × 1 = 2

The 3 is in the 5^1 place. It represents the number of fives you have.

3 × 5 = 15

The 4 is in the 5^2 place. It represents the number of 25's you have.

4 × 25 = 100

The number 432 base 5 means:

4 × 5^2 + 3 × 5^1 + 2 × 5^0

= 4 × 25 + 3 × 5 + 2 × 1

= 100 + 15 + 2

= 117 base 10

In other words, 432 base 5 = 117 base 10.

Now we do the same with your number, 24 base 5.

24 base 5 =

= 2 × 5^1 + 4 × 5^0

= 2 × 5 + 4 × 1

= 10 + 4

= 14

Last week, a dairy farm produced p kg of cheese. The dairy farm also produced 24 kg more yoghurt than cheese and 3 times as much ice cream as cheese. The dairy farm produced more kilograms of ice cream than yoghurt last week. Write and solve an inequality to work out the possible values of p.​

Answers

Answer:

4w>39+w

3w>39

w>13

Step-by-step explanation:

If you estimate that a piece of wood measures 5.5cm if it actually measures 5.62cm what is the percent error of the estimate

Answers

The percent error of the estimate is -2.14%

How to determine the percent error of the estimate?

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

Read more about percentage at

brainly.com/question/15056889

#SPJ1

20 POINTS will give brainliest
Find the missing number so that the equation has no solutions




–2x + 11 = x + 21 + __x

a 5
b 2
c -2
d -3

Answers

Answer: d -3

Step-by-step explanation:

The answer I got was 11 = 21, which does not make sense

–2x + 11 = x + 21 + (-3)x

+3x                         +3x

x + 11 = x + 21

-x        -x

11 = 21

Answer:

-3

Step-by-step explanation:

What is x+y=-15 converted to slope intercept form

Answers

Answer: y = -x - 15

Step-by-step explanation:

            Slope intercept form is written as y = mx + b where m is the slope and b is the y-intercept. In other words, we need to isolate the y-variable.

   Given:

x + y = - 15

   Subtract x from both sides of the equation:

y = -x - 15

There is a proportional relationship between the weight and total cost of a bag of cherries. One bag weighs 2.1 pounds and costs $7.98. Another bag weighs 2.8 pounds and costs $10.64.

Describe how you would graph the proportional relationship.

PLEASE HELPPP, I got like three different answers

Answers

Answer:

y = 3.8x

Step-by-step explanation:

Let y = the cost of the cherries

Let x = pounds of cherries

We can find the unit rate by either:

[tex]\frac{7.98}{2.1}[/tex] =  $3.80 per pound

or

[tex]\frac{10.64}{2.8}[/tex] = $3.80 per pound

Now we can write the equation

hy = 3.8x

20 + 0.44x + 4 = 19 + 1.69x. please show how you got it

Answers

Answer: x =4

Step-by-step explanation: The solution of the given equation 24 + 0.44x = 19 + 1.69x will be x = 4 thus option (A) will be correct.

What is the equation?

There are many different ways to define an equation.

More than one variable may be present inside a linear equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

24 + 0.44x = 19 + 1.69x

24 - 19 = 1.69x - 0.44x

5 = 1.25x

x = 4

Hence "The solution of the given equation 24 + 0.44x = 19 + 1.69x will be x = 4".

2y-5+123=180




help me

Answers

Answer:

y = 31

Step-by-step explanation:

2y-5+123=180

123 - 5 = 118

2y+118=180

subtract 118 from both sides

2y+118 - 118 = 180 - 118

180 - 118  = 62

2y = 62

divide 2 by both sides

2y/2 = 62/2

y = 31

Answer:

Step-by-step explanation:

2y+−5+123=180

Step 1: (Combine Like Terms)

(2y)+(−5+123)=180

Step 2:  (Subtract 118 from both sides)

2y+118−118=180−118

2y=62

Step 3: Divide both sides by 2

2y/2= 62/2

y=31

What is 3 3/4 ft to yards as a mixed number?

Answers

The value of 3¾ft in yards would be = 1 6/25 yard

What is a mixed number?

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

Learn more about mixed numbers here:

https://brainly.com/question/21610929

#SPJ1

What is the x-coordinate of the midpoint of the segment between (4 , -5) and (8 , 2)?

Answers

Answer:

(6, -1.5) or (6, -1 1/2)

A man pays a total of 4800 in flat rental for 3 months. Find his monthly rental rate.

Answers

Answer:

The man's monthly rental rate is $1600.

Step-by-step explanation:

To figure out the answer to your question, it says to find how much is monthly rental is. So, we can do this by simply dividing the two numbers:

4800 ÷ 3 = $1600

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 6 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Serena estimates that she can paint 60 square feet of wall space every half-hour.write an equation for the relationship with time in hours as the independent variable.can Serena paint 400 square feet of wall space in 3.5 hours?why or why not?

Answers

Answer:x=3.5 x 60

the answer is yes because when she's doing 3.5 hour, and she can do 420 square feet

At a furniture store, 20% of chairs are blue, 50% orange and 30% black. A blue chair has a 20% probability of being comfortable. A chair that is not blue has a 5% probability of being comfortable. What is the probability that a comfortable chair in the store is blue?

Answers

The probability that a comfortable chair in the store is blue is 4%

How to determine the probability?

From the question, we have the following parameters that can be used in our computation:

Proportion of blue chairs = 20%

Proportion of orange chairs = 50%

Proportion of black chairs = 30%

Comfortable Blue chairs = 20%

Comfortable non-blue chairs = 5%

The required probability is then calculated as

Probability = Proportion of blue chairs x Comfortable Blue chairs

Substitute the known values in the above equation, so, we have the following representation

Probability = 20% * 20%

Evaluate

Probability = 4%

Hence, the probability is 4%

Read more about probability at

https://brainly.com/question/251701

#SPJ1

1)What value of b will complete the square in the expression below and make the expression a perfect square trinomial? X^2+bx+16/49




2) Enter the perfect square trinomial as a squared binomial.

Answers

The value of b in x²+ bx + 16/49 is 8/7 and the squared binomial is (x + 4/7)²

How to determine the value of b?

From the question, we have the following parameters that can be used in our computation:

X^2+bx+16/49

Rewrite properly

So, we have the following representation

x²+ bx + 16/49

When represented as a square, we have

x²+ bx + 16/49 = (x + a)²

Expand the bracket

So, we have the following representation

x²+ bx + 16/49 = x² + 2ax + a²

By comparison, we have

bx = 2ax

a² = 16/49

Take the square root of both sides

a = 4/7

Substitute a = 4/7 in bx = 2ax

bx = 2 * 4/7x

So, we have

b = 2 * 4/7

Evaluate

b = 8/7

The squared binomial

In (a), we have

x²+ bx + 16/49 = (x + a)²

Where

a = 4/7

So, we have

x²+ bx + 16/49 = (x + 4/7)²

Hence, the binomial is (x + 4/7)²

Read more about completing the square at

https://brainly.com/question/13981588

#SPJ1

Answer:

[tex]\textsf{1)} \quad b = \dfrac{8}{7}[/tex]

[tex]\textsf{2)} \quad \left(x+\dfrac{4}{7}\right)^2[/tex]

Step-by-step explanation:

Perfect Square Trinomial

A trinomial that can be written as the square of a binomial.

For example the perfect trinomial  x²+2dx+d² can be written  as (x+d)².

Given trinomial:

[tex]x^2+bx+\dfrac{16}{49}[/tex]

To express the given trinomial as a perfect square trinomial, determine the value of b.

As the coefficient of the x² term is one, b equals twice the square root of the constant of the trinomial:

[tex]\implies b = 2 \sqrt{\dfrac{16}{49}}[/tex]

[tex]\implies b = 2 \cdot \dfrac{4}{7}[/tex]

[tex]\implies b = \dfrac{8}{7}[/tex]

Therefore, the perfect square trinomial is:

[tex]x^2+\dfrac{8}{7}x+\dfrac{16}{49}[/tex]

To factor in the form of a squared binomial (x + d)², d is half the value of b:

[tex]\implies d = \dfrac{1}{2}b[/tex]

[tex]\implies d = \dfrac{1}{2} \cdot \dfrac{8}{7}[/tex]

[tex]\implies d=\dfrac{8}{14}[/tex]

[tex]\implies d=\dfrac{4}{7}[/tex]

Therefore, the perfect square trinomial as a squared binomial is:[tex]\implies \left(x+\dfrac{4}{7}\right)^2[/tex]

Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

Answers

Answer: x> 38

Step-by-step explanation:

The best way to find the answer is to solve for x. To start you would add 38 and 39, getting 77, then subtract that from 180 to get the last angle in the triangle, 103. Finally, you would subtract 103 from 180, getting 77, to get x. The only thing you need to do now is to look at all of the answers and figure out which one makes sense for the answer you got. You know it can't be x<77 because it doesn't have the or equal to sign. You know it can't be x>103 because 77 is lower than 103. You know it can't be x<39 because 77 is greater than 39, so the answer has to be x > 38. (this was copy'd n pasted from another question that is the exact same.)
https://brainly.com/question/7069179

Help i think it’s b i don’t know!!

Answers

Answer: It is B

Step-by-step explanation:

If you put leg a (3) and leg b (4) into a Pythagorean equation it will turn out like this

3^2+4^2=x^2

9+16=x^2

25=x^2

√25=√x

5=x

5 is the missing side length, which corresponds to option b

6/9 times 3/8 and what is equals to

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

(6/9) × (3/8)

Cross simplify:

(3/3) × (1/4)

3/12

1/4

PLEASE MARK AS BRAINLIEST

what is the solution to the equation below 2x+13=x-1

Answers

2x + 13 = x - 1
Add one on both sides
2x + 14 = x
Subtract 2x on both sides
14 = -x
Divide by -1
x = -14

x = -14

of the car was marked as $14,000.
The price
The end of the month sale has
lowered the price to $12,500. What is the percent decrease to the nearest
percent?

Answers

Answer: the percent decrease is 9%

Step-by-step explanation:

Formula :12500/14000x100% and this formula can use in any of question likes this

A(t)A0e-0.355t where t is the time in years

Answers

Based on the function, the population of the small town in 5 years is 3898

How to determine the population in 5 years?

The complete question is added at the end of this solution

From the question, we have the following parameters that can be used in our computation:

Initial population = 23000

Number of years = 5

These parameters can be represented as

Ao = 23000

t = 5

From the question, we have the following formula that can be used in our computation:

A(t) = A0e^(-0.355t)

Substitute Ao = 23000 and t = 5 in the above equation

So, we have the following representation

A(5) = 23000 * e^(-0.355 * 5)

Evaluate the products

A(5) = 3898

Hence, the population in 5 years is 3898

Read more about exponential functions at

https://brainly.com/question/11464095

#SPJ1

Complete question

The population of a small town follows A(t) = A0e-0.355t where t is the time in years

What is the population in 5 years if the initial population is 23000

Find the slope of the line that passes through all of the points
on the table.

Someone help I’ll give Brainliest

Answers

Slope=10
Equation= y=10x+-17
The answer is 10

Hope this helps!

You are a store clerk assigned to stack notebooks in a box for shipment. Each notebook is 29 centimeters long, 21.5 centimeters wide, and 1.5 centimeters thick. The box can hold a maximum of 12 notebooks.

To the nearest whole number of cubic centimeters, what is the minimum volume of the box?
A. 64
B. 624
C. 935
D. 7,500
E. 11,223

Answers

The minimum volume of the box =  11220 cubic centimeters

What is volume?

In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.

One notebook:

length, l= 29 cm

width = 21.5 cm

height = 1.5 cm

Volume of 1 notebook =  l*w*h

                                     =  29*21.5*1.5

                                     =  935.25

                                     ≈  935 cubic centimeters ( nearest whole number )

Volume of 12 notebooks = 935 * 12 = 11220 cubic centimeters

So, the minimum volume of the box =  11220 cubic centimeters

To learn more about the volume from the given link

https://brainly.com/question/463363

#SPJ1

Answer:

11,223

Step-by-step explanation:

You are saving to buy a brand new car in 6 years? You predict the car will cost $32000 but you have already saved $6500.

How much work do you have if you put the $6,500 in an account paying 5% APR compounded continuously?

How much should you invest into an account paying 5% APR compounded continuously to have the entire $32000 in the 6 years?

Answers

The amount you will have $6,500 with 5% in six years using continuous compounding is of:

$8,774.

The amount you will need to have the entire $32000 in the 6 years is of:

$18,890.46.

What is continuous compounding?

The balance of an account after t years, using continuous compounding, is given as follows:

[tex]B(t) = Pe^{kt}[/tex]

In which the parameters are given as follows:

P is the principal, which is the initial investment.k is the APR, as a decimal.

Putting the $6,500 into the account, the values of the parameters are given as follows:

P = 6500, k = 0.05, t = 6.

Hence the balance will be of:

B(6) = 6500 x e^(0.05 x 6) = $8,774.

The balance to have the entire $32,000, considering what you already have, will be of:

32000 - 6500 = 25500

Hence the principal is obtained as follows:

Pe^(0.05 x 6) = 25500

P = 25500/e^(0.3)

P = $18,890.46.

More can be learned about continuous compounding at https://brainly.com/question/7513822

#SPJ1

The next model of a sports car will cost 5.1% less than the current model. The current model costs $37,000 how much will the price decrease in dollars? What will be the price of the next model?

Answers

Decrease in the price is $1887, the price of the next model car is $35,113.

What is percentage?

Percentage is a measurement to find value of the given number out of hundred.

Given that,

Price of current model = $37,000

The price of next model car is 5.1% less than the current model.

The price of the next model car = 94.9% of price of current model car

                                                     = 94.9 x 37,000/100

                                                      = 35,113

The decrease in the price = 37,000 - 35,113 = 1887

The price of the next model car is $35,113 and decrease in the price is $1887.

To learn more on Percentage:

https://brainly.com/question/24120406

#SPJ1

Michael averages 12 points in each basketball game. His team plays 2 games each week. About how many points will he score in 12 weeks? Explain your reasoning.

Answers

Michael will score about 288 points in 12 weeks. This is because he scores 12 points in each game and there are 2 games each week, so he will score 24 points in each week. Multiplying 24 points by 12 weeks, Michael will score 288 points.

Other Questions
You just posted new photographs to Shutterfly, and the site asks you to review the metadata. Metadata includes the following information EXCEPT _____.A. The date a photo was takenB. The file sizeC. The GPS location coordinatesD. The HTML coding healthcare delivery in the united states is very similar to other developed countries. group of answer choices true false you are not familiar with the exact name of a file. you know that it is unique and can remember the first four letters of the name. what key can you press in a linux shell to attempt to auto-complete the name? right arrow left arrow tab ~ PLEASE ANSWER QUICK The slopes of a quadrilateral are 2/5, 5/4, 5/4, and 2/5. What conclusion about this shape can be made?A. The quadrilateral is a trapezoid, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.B. The quadrilateral is a parallelogram, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.C. The quadrilateral is a trapezoid, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides. which properties of our universe are well-explained by the standard big bang model, and which properties are not well-explained? _____ is the process of creating and managing a business to achieve desired objectives. one reason organizations create teams is to . a. assert control over employees' actions b. relieve workers of decision-making responsibility c. strengthen the role of managers as supervisors d. limit flexibility e. capitalize on the knowledge and motivation of workers according to piaget, it is the different way of understanding the world that makes one stage of cognitive development more advanced than another. this is an example of During WW! mortars were fired from trenches 3 feet down The mortars had a velocity of 150 ft/s. Determine how long it will take for the mortar shell to strike its target? when a single firm can supply the entire market at a lower cost than two or more firms, the firm can be said to have which of the following characteristics? it is one of two firms in the industry. it is a natural monopoly. the marginal cost curve rises at an increasing rate. it must be producing at the socially optimal level of output. What disagreement did sigmund freud have with both josef breuer and jean martin charcot?. PLEASE HELP FAST WILL GIVE BRAINIEST Lomotil belongs in the class ofA.absorbentB. stool softnerC. anti-mobility agentD.anti-secretory what does a community contain that a population does not better products company recently issued its employees identification tags that contain a chip that records how long individual workers spend at their workstations and how many times they visit the restroom. which function might this technology serve the nurse is caring for a client at risk for an addisonian crisis. for what associated signs and symptoms should the nurse monitor the client? select all that apply. Can someone help? Solve for a given that the height of the triangle is 3 centimeters and each of the legs are 6 centimeters. I also need the centimeters please !! a 34 kg child is riding a playground merry-go-round that is rotating at 15 rev/min. what centripetal force must she experience to stay on the ride if she is 1.2 m from its center? What is 9/14 closer to 0, 1, or 1/2? Everything else held constant, when the federal funds rate is ________ the interest rate paid on reserves, the quantity of reserves demanded rises when the federal funds rate ________.