If f(x)=4x-6 and g(x)=√x+2, what is (f°g)(7)

Answers

Answer 1

Answer:

[tex]4\sqrt{7} +2[/tex]

Step-by-step explanation:

fog =4[tex]\sqrt{x}[/tex]+8-6

      = 4[tex]\sqrt{x}[/tex] +2

fog(7) = 4[tex]\sqrt{7}[/tex]+2


Related Questions

sheral got theses socres on her spelling test

95,89,99,85,82

what is the mean of absolute devitationof her test scores

Answers

all you do is add up all test scores then divide by number of tests, so you get 450/5, and thats an average of 90%
Add them all together and then divide the sum by 5 and you get the answer

Katelyn did this work to solve an equation. Did she make an error?
4(x-2)-3=7x
4x-2-3=7x

Answers

Answer: The right answer is this:

Katelyn did make an error. She also needs to multiply 4 by −2.

4−8−3=7

Step-by-step explanation:

Answer:

Katelyn did make an error. She also needs to multiply 4 by −2.

4x−8−3=7x

Step-by-step explanation:

Which function is the best inverse of f(x)=x2-9

Answers

Answer:

The inverse is sqrt(x+9)

Step-by-step explanation:

f(x)=x^2-9

To find the inverse of the function, we interchange x and y and solve for y

y = x^2 -9

x = y^2 -9

Add 9 to each side

x+9 = y^2 -9+9

x+9 = y^2

Take the square root of each side

sqrt(x+9) = sqrt(y^2)

sqrt(x+9) = y

f^-1 (x) = sqrt(x+9)

solving multi step equations x+x+2=3(x+1)+12

Answers

work is shown!! have a good day

solve the inequality algebraically. express your answer using interval or set notation. graph the solution set. -5 less than or equal to 4 - 3x less than or equal to 2

Answers

Step-by-step explanation:

This inequality sign means:

Less than/Equal toNo more thanAt mostMaximum of

-5 ≤ 4

And then:

-3x ≤ 2

OR:

-5 ≤ 4 -3x ≤ 2

Hi!!! Sorry, I didn't know if they were suppose to be together or separate, so I just did it both ways!!! :) Really sorry if I am wrong...

how to solve the algebraic expression 25=5/3(d+5/8)

Answers

Answer:

Alright well solve for d by cross multiplying

Exact form: d = 115/8

Decimal form: d = 14.375 Hope this helps have a nice day : )

Step-by-step explanation:


Literal Equations
c-b/a=1

Answers

Equation for a

a= b/c - 1

Equation for b

b= ca - a

Equation for c

c=  b/a + 1

FAST!! the hcf of 2 numbers is 98 and there LCM is 2352..the sum of their numbers may be

Answers

Answer:


Step-by-step explanation:

I hope it will help you

Attachment


Rita has 3/4 gallon of lemonade she pours 1/24 gallon of lemonade into each glassk Rita has 3/4 gallons of lemonade she pours one 24 gallon of lemonade into each glass how many glasses of lemonade can she pour

Answers

Answer:

18 number of glasses of lemonade can she pour

Step-by-step explanation:

Unit rate defined as rates are expressed as a quantity of 1, such as 3 feet per second or 8 miles per hour, they are called unit rates.

As per the statement: Rita has 3/4 gallon of lemonade she pours 1/24 gallon of lemonade into each glass.

Number of lemonade Rita has  = 3/4 gallon

[tex]\text{Unit rate per glass} = \frac{1}{24} \text{gallons}[/tex]

By definition of unit rate;

[tex]\text{Number of glasses} = \frac{\text{Number of lemonade}}{\text{Unit rate per glass}}[/tex]

Substitute the given values we get;

[tex]\text{Number of glasses} = \frac{\frac{3}{4}}{\frac{1}{24}}[/tex]

[tex]\text{Number of glasses} = \frac{3}{4} \times 24 = 3 \times 6 = 18[/tex]

Therefore, number of glasses of lemonade can she pour is, 18




Make an equation to represent the area of a square whose sides are given by the expression x+y

Answers

Answer:

B. area = x^2 + 2xy + y^2

Step-by-step explanation:

Area of square with side s is s^2.

This square has side x + y, so

area = (x + y)^2

area = (x + y)(x + y)

area = x^2 + xy + xy + y^2

area = x^2 + 2xy + y^2

Answer:

B

Step-by-step explanation:

area of a square = s² ( s is the side length )

here s = x + y, hence

area = (x + y)² ← expand using FOIL )

        = x² + xy + xy + y² = x² + 2xy + y² → B













How do you solve this?

Answers

Answer:

Multiply 60 by .40

60 * .40 = 24

Answer is B


Step-by-step explanation:


what is the standard deviation of the numbers 77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Answers

Answer:

The standard deviation of the numbers is 16.154.

Step-by-step explanation:

The given observations are

77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Average or mean of the data is

[tex]\bar{X}=\frac{\text{Sum of observations}}{\text{Total number of observations}}[/tex]

[tex]\bar{X}=\frac{1432}{20}=71.6[/tex]

The Standard deviation of the data is

[tex]\sigma=\sqrt{\frac{\sum (X-\bar{X})^2}{n}}[/tex]

[tex]\sigma=\sqrt{\frac{5218.8}{20}}[/tex]

[tex]\sigma=\sqrt{260.94}[/tex]

[tex]\sigma=\sqrt{16.154}[/tex]

Therefore standard deviation of the numbers is 16.154.

How would I put equations like these in Standard Form?

4x-y-7=0
3x+9= (7/2)y
y=-4x+12
y=(-3/4)x+(5/4)

Answers

The standard form:

[tex]Ax+By=C[/tex]

[tex]4x-y-7=0\qquad\text{add 7 to both sides}\\\\\boxed{4x-y=7}[/tex]

[tex]3x+9=\dfrac{7}{2}y\qquad\text{multiply both sides by 2}\\\\6x+18=7y\qquad\text{subtract 18 and 7y from both sides}\\\\\boxed{6x-7y=-18}[/tex]

[tex]y=-4x+12\qquad\text{add 4x to both sides}\\\\\boxed{4x+y=12}[/tex]

[tex]y=-\dfrac{3}{4}x+\dfrac{5}{4}\qquad\text{multiply both sides by 4}\\\\4y=-3x+5\qquad\text{add 3x to both sides}\\\\\boxed{3x+4y=5}[/tex]

$64 jacket; 20% discount [plzzzzz help me ]

Answers

Answer:

$51.20

Step-by-step explanation:

A 20% discount makes it 80% of the original price.

80% is 0.8 of something so multiply $64 by 0.8 to get your answer of $51.20

So I don't if I'm right help would be much appreciated

Answers

Answer:

A is the correct equation

Step-by-step explanation:


Which statements are true? Check all that apply. (The formula for the area of a triangle is A = 1/2 bh)
A. BC = 6 cm
B. AC = 5 cm
C. BA = 4 cm
d. The perimeter of triangle ABC = 12 cm
E. The area of the triangle ABCc is 1/3 the area of triangle DEF

Answers

Answer:

C) BA=4 cm  

D)the perimeter of triangle ABC= 12 cm

Step-by-step explanation:


Answer:

234

Step-by-step explanatio:acabo  de  

a

How to find the measure of a triangle?

Answers

is it 1/2×b×h
to find the area
or
base×height

Hi there! :)

Answer:

The answer is D. 83°


Step-by-step explanation:

You should know that the interior angles of a triangle always add up to 180°.

So, what you will need to do, is add all 3 angles together and create an equation (equal to 180). Then you need to solve this equation by isolating "x":

(8x + 12) + (55 - 3x) + (10x + 23) = 180

Get rid of all the parentheses

8x + 12 + 55 - 3x + 10x + 23 = 180

Add all similar terms together

8x - 3x + 10x = 15x

12 + 55 + 23 = 90

15x + 90 = 180

Subtract "90" from each side of the equation → 180 - 90 = 90

15x = 90

Divide each side of the equation by "15" → 90 ÷ 15 = 6

x = 6


Since you now know that the value of "x" is 6, you can now find the measure of the angle at George's position by replacing the "x" by 6:

10x + 23 = Measure of the angle at George's position

10(6) + 23

Multiply 10 by 6 → 10 × 6 = 60

60 + 23

Add 60 and 23 together → 60 + 23 = 83

83 = Measure of the angle at George's position


There you go! I really hope this helped, if there's anything just let me know! :)

Will mark brainliest! :D

Answers

Answer: 137 + 4(n-1)


Step-by-step explanation:

137 + 4(n-1)

Okay, let's test this starting with week 1:

137 + 4(1-1)

137 + 4*0

137, which is correct because she starts with 137.

Week 2:

137 + 4 (2-1)

137 + 4 * 1

137 + 4

141

Alright, let's see if it is correct if we do week 5:

137 + 4 (5-1)

137 + 4(4)

137 + 16

153

To know that 153 is right we could do 137 + 4 + 4 + 4 + 4, which equals 153.

Select the three ratios that are equivalent to 3 boys/5 girls.
8 boys/10 girls
15 boys/25 girls
9 boys/15 girls
30 boys/50 girls

99 points!!

Answers

[tex]\dfrac{3\ boys}{5\ girls}\to\dfrac{3}{5}\\\\\dfrac{8}{10}=\dfrac{8:2}{10:2}=\dfrac{4}{5}\\\\\dfrac{15}{25}=\dfrac{15:5}{20:5}=\dfrac{3}{5}\\\\\dfrac{9}{15}=\dfrac{9:3}{15:3}=\dfrac{3}{5}\\\\\dfrac{30}{50}=\dfrac{30:10}{50:10}=\dfrac{3}{5}\\\\Answer:\\\\\boxed{\dfrac{3\ boys}{5\ girls}=\dfrac{15\ boys}{25\ girls}=\dfrac{9\ boys}{15\ girls}=\dfrac{30\ boys}{50\ girls}}[/tex]

30 females /50 males

express 4.08 as mixed number

Answers

the answer to your question is 4 2/25

Answer:

its 4 2/25 :P

Step-by-step explanation:

hi!!!

Each year, thousands of people visit Yellowstone national park. Audiotapes for visitors include interviews with early settlers and information about geology, wildlife, and activities of the park. The revenue r(x) from the sale of x tapes is r(x)=9.5x. Suppose that the function for the cost of manufacturing x tapes is c(x)=0.8x+1940.
What function could be used to find the profit on x tapes?
a. Write the profit function.

b.find the profit on 500, 1000, and 5000 tapes.

c. Check by finding the revenue and the cost for each number of tapes and subtracting to find profit

Answers

Answer: p(x) = 8.7x - 1940

              p(500) = $2410

              p(1000) = $6760

              p(5000) = $41,560

Step-by-step explanation:

p(x) = r(x) - c(x)

      = 9.5x - (0.8x + 1940)

      = 9.5x - 0.8x - 1940

      = 8.7x - 1940

**********************************************************************

p(500) = 8.7(500) - 1940

           = 4350 - 1940

           = 2410

p(1000) = 8.7(1000) - 1940

             = 8700 - 1940

             = 6760

p(5000) = 8.7(5000) - 1940

              = 43,500 - 1940

              = 41,560

***************************************************************************

p(500) =    r(500)    -    c(500)

           = 9.5(500)  -  [0.8(500) + 1940]

           =    4750     - (400 + 1940)

           =     4750    -      2340

           =              2410

p(1000) =   r(1000)    -    c(1000)

            = 9.5(1000)  -  [0.8(1000) + 1940]

            =     9500     - (800 + 1940)

            =     9500     -      2740

            =              6760

p(5000) =    r(5000)    -    c(5000)

           = 9.5(5000)  -  [0.8(5000) + 1940]

           =    47500     - (4000 + 1940)

           =    47500     -      5940

           =              41,560


−4/1​a−4= 4/7​a−3 solve for a

Answers

Answer:

a = (-7)/32  or a= 0.21875

Step-by-step explanation:

Solve for a:

-4 a - 4 = (4 a)/7 - 3

Put each term in (4 a)/7 - 3 over the common denominator 7: (4 a)/7 - 3 = (4 a)/7 - 21/7:

-4 a - 4 = (4 a)/7 - 21/7

(4 a)/7 - 21/7 = (4 a - 21)/7:

-4 a - 4 = (4 a - 21)/7

Multiply both sides by 7:

7 (-4 a - 4) = (7 (4 a - 21))/7

(7 (4 a - 21))/7 = 7/7×(4 a - 21) = 4 a - 21:

7 (-4 a - 4) = 4 a - 21

Expand out terms of the left hand side:

-28 a - 28 = 4 a - 21

Subtract 4 a from both sides:

(-28 a - 4 a) - 28 = (4 a - 4 a) - 21

-28 a - 4 a = -32 a:

-32 a - 28 = (4 a - 4 a) - 21

4 a - 4 a = 0:

-32 a - 28 = -21

Add 28 to both sides:

(28 - 28) - 32 a = 28 - 21

28 - 28 = 0:

-32 a = 28 - 21

28 - 21 = 7:

-32 a = 7

Divide both sides of -32 a = 7 by -32:

(-32 a)/(-32) = 7/(-32)

(-32)/(-32) = 1:

a = 7/(-32)

Multiply numerator and denominator of 7/(-32) by -1:

Answer:  a = (-7)/32

The solution to the equation is [tex]\(a = -\frac{25}{32}\)[/tex].

To solve the equation [tex]\(\frac{-4}{1}a - 4 = \frac{4}{7}a - 3\) for \(a\)[/tex], follow these steps:

1. Simplify the equation by multiplying both sides by their respective denominators to eliminate the fractions:

[tex]\[ 7(-4a - 4) = 1(4a - 3) \][/tex]

2. Distribute the numbers outside the parentheses:

[tex]\[ -28a - 28 = 4a - 3 \][/tex]

3. Move all terms containing a to one side of the equation and constants to the other side:

[tex]\[ -28a - 4a = -3 + 28 \][/tex]

4. Combine like terms:

[tex]\[ -32a = 25 \][/tex]

5. Solve for a by dividing both sides by -32:

[tex]\[ a = \frac{25}{-32} \][/tex]

Therefore, the solution to the equation is [tex]\(a = -\frac{25}{32}\)[/tex].

What is the value of y ?enter your answer in the box

Answers

Answer:

I believe the answer is 20.

Step-by-step explanation:


jamie rolls a 6-sided die 30 times and determines that the experimental probability of rolling a 2 is 1/15. The theoretical probability of rolling a 2 is 1/6 What could Jamie do to make his experimental results more closely match the theoretical probability?

Answers

Answer:

Answer is to increase trials

Step-by-step explanation:

Theoretical Probability is what it is expected to happen whereas Experimental Probability is what actually happens.

What Jamie should take into serious consideration is that Experimental probability gets gradually closer to theoretical probability as the number of trials increases.

In other words, Jamie needs to increase the number of trials in order to match experimental and theoretical probabilities every time more and more.

Answer: letter A

to increase the number of trials

Step-by-step explanation:

The beginning balance on the money bank staremaent for Dorsey checking account was 452.76 and the ending balance was 197.59 what can be said about Dorsey transactions for the month ?

Answers

Answer: D He has 255.17 more in debts than in credits

Step-by-step explanation:

Finished A P E X

Can someone please help me with this question? Thanks if you do!

Answers

A secant is a line that intersects a circle at two points.

Therefore your answer is

[tex]\boxed{D.\ \overline{AD}}[/tex]


OB - radius

DE - tangent

FC - chord

AB - some segment

Which of the following sets represents the range of the function shown?

Answers

Answer:

{0, -1, 11, 13 }

Step-by-step explanation:

the range of the function are the corresponding values of y from the set of points, in ascending order, that is

{0, -1, 11, 13 }



Answer:

Step-by-step explanation:

The range is the set of y values of the function.

{0, -1, 11, 13]

Heidi's mom made flower arrangements for a party.She made 4 times as many rose arrangements as tulips arrangements.Heidi's mom made a total of 40 arrangements. How may arrangements of each type did Heidi's mom make?

Answers

32 rose arrangements and 8 tulips arrangements

Answer: 32 Rose Arrangements & 8 Tulip Arrangements

Step-by-step explanation: The number of arrangements for each flower is unknown (n) but the total is known, 40 arrangements. There are 4 times as many rose arrangements than tulip meaning 4n rose + n tulip = 40, 4n + n = 40, 5n = 40, 40 ÷ 5 = n, n = 8. Roses = 4n = 4x8= 32. Tulips = n = 8.

What is the solution to the system of equations graphed below?

Answers

Answer:

A.  (3,0)


Step-by-step explanation:

When the equations are graphed, the solution is where the two graphs cross.  For the red line and the blue line, the cross at (3,0)


We can check this by substituting x=3 into both equations and seeing if we get y=0

y = -x+3

y = -3+3

y =0


y = x-3

y = 3-3

y=0

In both cases, we got y=0.  

Therefore (3,0) is a solution to both equations and since it solves both equations, it solves the system.

Apex please help
a.)graph d
b.) graph b
c.) graph a
d.) graph c

Answers

Answer:

GRAPH D

Step-by-step explanation:

BECASUE IT IS THE WRIGHT ANSWER


Other Questions
determine the total number of roots of each polynomial function f(x)=3x^6+2x^5+x4-2x^3 How did the amendment process help the farmers of the constitution overcome major challenges that they faced? During the formation of a tornado, cool air condenses warm air evaporates cool and warm air sink cool and warm air meet If somebody could help me, thatd be great How did the economic impacts of the Great Depression differ in the United States and in the Soviet Union ? In a certain organic compound, one of the carbon atoms is bonded to three atoms. One of these is a carbon atom and the other two are hydrogen atoms. What type of bond exists between the two carbon atoms?Double CovalentIonicIon Dipole Year - Gas Price2005 - $2.322006 - $2.632007 - $2.852008 - $3.322009 - $2.402010 - $2.842011 - $3.582012 - $3.702013 - $3.582014 - $3.432015 - $2.51c. What equation models the data? What are the domain and range of the equation? Explain how you determined your answers. d. Is there a trend in the data? Does there seem to be a positive correlation, a negative correlation, or neither?How much do you expect gas to cost in 2020? Explain. defonition of quarks which process responsiblr for the growth a repair pf human tissue? What number decrease by 52 equals -12 NEED HELP WITH THESE LAST 2 QUESTIONS FOR FINALS!!!WILL UPVOTE!!AT LEAST TAKE A LOOK, IT'S ENGLISH!! WILL GIVE BRAINLIEST!1. Read these sentences from paragraph 1.Now, said he, if you teach that [slave] (speaking of myself) how to read, there would be no keeping him. It would forever unfit him to be a slave. He would at once become unmanageable, and of no value to his master. As to himself, it could do him no good, but a great deal of harm. It would make him discontented and unhappy.How are the ideas organized in the sentences? A) problem and solutionB) cause and effect C) description D)chronological order2. What is the effect of formal language and word choice on the speaker's tone?Select each correct answer. It creates a persuasive tone. It creates a superior tone. It creates a hopeless tone. It creates a serious tone. It creates a complacent tone.Here is the passage for question #2This is preeminently the time to speak the truth, the whole truth, frankly and boldly. Nor need we shrink from honestly facing conditions in our country today. This great Nation will endure as it has endured, will revive and will prosper. So, first of all, let me assert my firm belief that the only thing we have to fear is fear itselfnameless, unreasoning, unjustified terror which paralyzes needed efforts to convert retreat into advance. When solving [tex]4(3 {x}^{2} + 2) - 9 = 8 {x}^{2} + 7[/tex]Emily wrote [tex]4(3 {x}^{2} + 2 = 8 {x}^{2} + 16[/tex]as her first step. Which property justifies Emily's first step? Spain explored and established colonies in the americas in part to Mariana tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds, 148.5 milliliters of slushy remained How many buttons are found on a simple calculator? It is measured in the _____. how does the title affect meaning in a technical text? The greatest centers of learning in the early middle ages were found generally in How did the cotton gin lead to a rise in slavery?A. Demand for cotton in the North declined.B. The slave trade was legal for farm work only.C. Growing cotton required many workers.D. The cotton gin made growing cotton less profitable.(Gradpoint) How can a causal relationship affect the plot of a story? It can cause confusion between plot events. The characters' motivations become clear. It can create tension, mystery, and surprise. The relationship always foreshadows future events. one major purpose of federal reserve monetary policy is to Steam Workshop Downloader