g(x)=x ^2 and f(x)=x-7 so what is g(f(4)​

Answers

Answer 1

Answer:

I think the answer is 9

G(x)=x ^2 And F(x)=x-7 So What Is G(f(4)
Answer 2
Answer:  9

=====================================================

Work Shown:

f(x) = x-7

f(4) = 4-7

f(4) = -3

We can see that f(4) and -3 are the same number. Because of this, we can replace f(4) with -3

This will have us go from g( f(4) ) to g( -3 )

Then we plug x = -3 into the g(x) function

g(x) = x^2

g(-3) = (-3)^2

g(-3) = 9 is the final answer

Again, since -3 and f(4) are the same thing, we can replace that '-3' in g(-3) to get

g( -3 ) = 9

g( f(4) ) = 9

-------------------

An alternative route:

g(x) = x^2

g( f(x) ) = ( f(x) )^2 .... replace every x with f(x)

g( f(x) ) = ( x-7 )^2 .... plug in f(x) = x-7 for the right hand side only

g( f(4) ) = ( 4-7 )^2 ... plug in x = 4

g( f(4) ) = (-3)^2

g( f(4) ) = 9


Related Questions

3( − 3) − 5 >− 3 − 6
(show your work)

Answers

Answer:

x > 3

Step-by-step explanation:

3x-9-5x > -3x - 6

3x-5x+3x > -6+9

x > 3

could i get an explanation on how to do this?

Answers

Answer:

EH is 25

Step-by-step explanation:

7+7+11=25

EH is 25

A school bought 26 computers for a new computer lab. If each computer costs $740, how much did the school spend?

Answers

Answer:

= 19, 240 $

Step-by-step explanation:

cost of 1 computer = $ 740

cost of 26 computers = 26 × 740

= 19, 240 $

so the school spent 19, 240 $

What is the value of x?

Answers

Answer:

D. 30°

Step-by-step explanation:

By exterior angle theorem:

x° + 70° = 100°

x° = 100° - 70°

x° = 30°

x = 30

if f(x) = 2x² +1 and g(x) = x² - 7 find (f+g) (x)

Help me find (f+g)(x) please!

Answers

Answer:

[tex](f+g)(x) = 3x^2 - 6[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 + 1, \ g(x) = x^2 - 7\\\\(f +g)(x) = f(x) + g(x) \\\\(f+g)(x) = 2x^2 + 1 + x^2 - 7 \\\\(f+ g)(x) = 3x^2 - 6[/tex]

A savings account for a car is set up with an initial balance of $3000, and 125 is added every
month (no other transactions occur on the account).
1. Write the expression:
2. Write the equation equal to the $5,000 car goal:
3. M=
4. How long will it take:

Answers

Answer:

1) 3000 + 125m

2) 3000 + 125m = 5000

3) M= 16

4) It would take 16 months

Step-by-step explanation:

Okay so no since there are no other transaction and you already have a balance of 3000 with a monthly Fee of 125 the equation shpuld be like this.

So every month you add 125,we dont know how much months we have to pay so we can use the variable given to us in this case “M”. So your base expression should look like this,

3000 + 125m (3000 base fee that doesnt change, and 125 every month fee)

Then it asked us to put it as the final balance as 5000, so using the base expression we can do this

3000 + 125m = 5000

Now to solve it you would solve it like any other equation

5000-3000=2000

2000=125m

2000/125= 16

Okay so m = 16

M in this case stands for months so the final answer would be it would take 16 months to reach the final balance of 5000

Is the function g(x)= –5x+4 linear or nonlinear

Answers

linear, since the variable isnt to a power (squared or cubed or anything), its highest power is 1, which makes the function linear

find the least common denominator for these fraction 4/8 and 1/4​

Answers

Answer:

8

Step-by-step explanation:

As,

1/4 = (1×2)/(4×2) = 4/8

4/8 = (4×1)/(8×1) = 4/8

In both case,

The denominator 8 is least common multiple

I need help ASAP !!!!

Answers

The last option because the range is the input values

Why is lowering the interest rate on reserves considered an expansionary monetary policy? A. It encourages banks to lend money instead of keeping it in reserve.
B. It pressures investors to spend more money on treasury securities.
C. It prevents investors from withdrawing too much money from banks.
D. It causes banks to increase their prime interest rate in response.​

Answers

Step-by-step explanation:

The reserve ratio is the central bank's mandate for banks to keep a certain reserve requirements, which are excess cash deposits that must be kept on hand and not loaned out.

Raising the ratio is contractionary since less loans can be made, but this also solidifies banks' balance sheets.

If the Federal Reserve instead lowers the reserve ratio through an expansionary monetary policy, commercial banks are required to hold less cash on hand and can make more loans.

The lowering of the interest rate on reserves, considered an expansionary monetary policy, as it encourages banks to lend money instead of keeping it in reserve.

Hence, option 1 is correct.

Lowering the interest rate on reserves is considered an expansionary monetary policy because it incentivizes banks to lend out their excess reserves rather than keeping them idle in reserve accounts. When the central bank reduces the interest rate on reserves, it effectively lowers the opportunity cost for banks to hold reserves.

As a result, banks are more inclined to lend money to consumers and businesses at lower interest rates, which stimulates borrowing and spending in the economy. Increased lending and spending contribute to economic expansion and growth, making it an expansionary monetary policy.

Thus, lowering the interest rate encourages banks to lend money instead of keeping it in reserve.

Learn more about monetary policy here:https://brainly.com/question/28199887

#SPJ4

help please (ignore my answer i just put whatever)

Answers

Answer:the awnser would b 2

Step-by-step explanation: it’s telling you if you look at the triangle from ABC it’s 54 degrees, but if you look at it from BAC it’s 30 degrees so you can only draw 2 triangles because no other combination is given the only other information we know is the line connecting A and B is 5 in some length which is a line not a triangle it would be a triangle thou if lines BC and AC were given. Long story short it’s B) 2

A Basket contains 3 types of fruits weighing 58/3 kg in all. If 73/9 kg of are apples,19/6 are oranges and the rest are pears. What is the weight of the pears in the basket?​

Answers

Answer:

Step-by-step explanation:

233 322

A palindrome is a number that is identical when written both forwards and backwards. For example, 181, 25852, and 3333 are all palindromes. How many palindromes between 100 and 1000 are divisible by 3?

Answers

Answer:

30 palindromes!!!!!!!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

zero cannot be the first digit of the palindromes. There are nine other numbers that can be.

9 * 10

The last digit also cannot be zero so it has the same value as the first digit. (Otherwise the number cannot be palindromic) So you are really looking at only 90 numbers total.

That's not the question, but it does put a limit on how many there can be.

Let's find the first number (closest to 100 ) that is palindromic and divisible by 3.

I think 111 is the smallest.

Now what about the largest? That would be 999.

So what is the next number after 111? Wouldn't that be 141?

The difference between 111 and 141 is 30

It turns out that any first digit that is divisible by 3, has 4 palindromic numbers because for them, the second digit is a 0. So for 3 for example, you get

303

333

363

393

All the other numbers only have 3 entries for example, 1 gives you

111

141

171

So making a table we get

First digit                          Number of palindromes divisible by 3

1                                        3

2                                       3

3                                                   4

4                                       3

5                                       3

6                                                   4

7                                       3

8                                       3                                            

9                                                   4

                                       18         12

Total                                

PLZZ HELP I REALLY DONT WANNA GO DOWN!!!!!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:  7  1  16  15  

Meal  Alone                      =    393.16

Tax      393.16 × 0.0625   =    24.57        Recall 6.25% = 6.26 / 100 =  0.0625

Tip      393.16 × 0.18         =     70.77        Recall 18% = 18 / 100 =  0.18

Add up the three values  =  488.50        Total

an easier way to do this !!!!!!     use the distributive rule

               393.16 ( 1 + 0.0625 + 0.18)

               393.16 ( 1.2425)

 Total   =  488.5013    or $488.50

Evaluate –3 2nd power + (2 – 6)(10).

Answers

Answer:

-49

Step-by-step explanation:

-3^2=-9

(2-6)*10=-40

(-9) + (-40) = -49

-31
9 + (-4) (10)
9+ (-40)
-31

Mrs Nu paid $2083 for 2 smiler laptops and 3 similar earphones. Each laptop cost of each earphones?​

Answers

Answer:

Step-by-step explanation:

The information given is incomplete :

Answer:

x = 1/2(2083 - 3y)

y = 1/3(2083 - 2x)

Step-by-step explanation:

Let

Laptop cost = x

Earpiece cost = y

Number of laptops= 2

Number of earpiece = 3

2x + 3y = $2083

The cost per laptop :

2x = 2083 - 3y

Divide both sides by 2

x = (2083 - 3y) / 2

x = 1/2(2083 - 3y)

Or

3y = 2083 - 2x

y = (2083 - 2x) / 3

y = 1/3(2083 - 2x)

What is the system of equations shown in the graph

Answers

Answer: D
If you look at the graph the slopes and y intercepts match up

Answer:

D)

y = - x + 1

y = -1/4 +2

Step-by-step explanation:

The equation of a linear graph: y = mx + b

The red graph is going down, so it would mean the m value is negative (-). This cancels options A) and C). The red graph also moves one unit up the y-axis which means the b is one (1). So the equation would be y = - x + 1.

The blue graph is also going down, so it would mean the m value is negative (-). This means it could be options B) or D). But, the blue graph also moves two units up the y-axis, which means the b is two (2).  So the equation would be y = - 1/4x + 2.

Please solve the question attached:

Answers

Answer:

magnitude is 4.5 lb, and the direction is given by the angle 250°.

Step-by-step explanation:

We can see that the magnitude is 4.5lb (it is already written in the graph, the "distance" between R and T).

To find the angle, remember that the angle is measured counterclockwise from the positive x-axis.

We can see that the angle, measured clockwise, is 110°

And the angle of a complete revolution is 360°

The sum of the angle measured clockwise and the angle measured counterclockwise should be equal to 360°

Then the angle, measured counterclockwise is given by:

360° - 110° = 250°

Then the magnitude is 4.5lb, and the direction is given by the angle 250°.

Does anyone know this

Answers

The total width is shown as 12 ft. The width of the small square is 2 ft so the width of the larger square is 12-2 = 10 ft.

Area of each square: 10 x 10 = 100

2 x 2 = 4

Total area = 109 + 4 = 104 square ft.

kareem finished his math assignment in 1/2 hours. he finished his history assignment in 1/8 hours. how much more time did kareem spend on his math assignment

Answers

Answer:

[tex] \frac{3}{8} \: hours[/tex]

Step-by-step explanation:

Additional time =

[tex] \frac{1}{2} - \frac{1}{8} \\ = \frac{4}{8} - \frac{1}{8} \\ = \frac{3}{8} [/tex]

Answer:

3/8 hours is the time to Finnish

Is (-2,-4) a solution of the graphed inequality?
Choose 1 answer:
Yes
No

Answers

Answer:

Yes

General Formulas and Concepts:

Algebra I

Reading a coordinate graphCoordinates (x, y)Solving inequalities

Step-by-step explanation:

When we plot (-2, -4) onto the graph, we can envision that the point is within the shaded region of the graphed line.

∴ (-2, -4) would be a solution.

Solve for x.
3х - 4 = 13

Answers

[tex]\large\bold{\underline{\underline{ \: x = 5 \frac{2}{3} }}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3x - 4 = 13[/tex]

[tex]➺ \: 3x = 13 + 4[/tex]

[tex]➺ \: 3x = 17[/tex]

[tex]➺ \: x = \frac{ 17}{3} [/tex]

[tex]➺ \: x = 5 \frac{2}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]➺ \: 3x - 4 = 13[/tex]

[tex]➺ \: 3 \times 5 \frac{2}{3} - 4 = 13[/tex]

[tex]➺ \: 3 \times \frac{17}{3} - 4 = 13[/tex]

[tex]➺ \: 17 - 4 = 13[/tex]

[tex]➺ \: 13 = 13[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer: X = 6
Hope it helps:)

For each journey between work and home, Arjun uses 1.3 gallons of petrol. Arjun has 52 litres of petrol in his car. How many complete journeys between work and home can he do?
1 gallon = 4.5 litres.

Answers

Answer: 9 full journeys

Step-by-step explanation:

4.5 litres * 1.3 gallons = 5.8 litres of petrol

52 litres ÷ 5.8 litres of petrol = 8.9 journeys ≈ 9 full journeys

4x+9/y+11=0 and 6/y -3x=8​

Answers

9514 1404 393

Answer:

  (x, y) = (-2 12/17, -51)

Step-by-step explanation:

Here is the answer to ...

  [tex]4x+\dfrac{9}{y}+11=0\\\\\dfrac{6}{y}-3x=8[/tex]

If you mean something else, then parentheses are needed.

__

Let z = 1/y. Then the equations in general form are ...

  [tex]4x+9z+11=0\\3x-6z+8=0[/tex]

The solution (cross multiplication method) is ...

  x = (9·8 -(-6)·11)/(4(-6)-3·9) = 138/-51 = -2 12/17

  z = (11·3 -8·4)/-51 = -1/51

  y = 1/z = -51

The solution is (x, y) = (-2 12/17, -51).

Can someone help me with this math homework please!

Answers

Answer:

Check off both of the boxes

Step-by-step explanation:

In your reponse you included that most ancient societies didn't have symbols for math operations and didn't have symbols for variables/unknown quantities.

Hope it helps (●'◡'●)

The radius of a circle is 6 cm. What is its diameter?

Answers

Answer:

Step-by-step explanation:

d=2r=2, 6 =12

diameter=12


Write each as a percent. Use proportions.
7/25, 2/3, 3/8

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{7}{25} =0.28=28\%\\\\\dfrac{2}{3} \approx 0.67=67\%\\\\\dfrac{3}{8} =0.375=37.5%[/tex]

A scientist has two solutions, which she has labeled Solution A 60% and Solution B 75% Each contains salt. She knows that Solution A is salt and Solution B is salt. She wants to obtain ounces of a mixture that is salt. How many ounces of each solution should she use

Answers

Answer:

The answer is "180".

Step-by-step explanation:

Please find the complete question in the attached file.

Let's

x = ounces solution of A

y = ounces solution of B

[tex]x + y = 180 \\\\y = 180 - x\\\\0.60x + 0.85y = 0.75(180)\\\\0.60x + 0.85y = 135\\\\[/tex]

Multiply both sides of the equation by 100 to remove the decimal points.

[tex]60x + 85y = 13500\\\\60x + 85(180 - x) = 13500\\\\60x + 15300 - 85x = 13500\\\\-25x = -1800\\\\x = 72\ \ ounces\\\\y = 180 - 72 \\\\y = 108 \ \ ounces\\\\[/tex]

Determine the area of the triangle.
90.6 square units
50.1 square units
94.2 square units
106.0 square units

Answers

Answer:

94.2 square units.

I got 94.09 but that seems to be the closer answer.

alguien que me ayude porfavor !!!!!

Answers

Es 10 miles per minute
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