If f(x)=2x+1 and g(x)= x² +3 find g(f(x)) and simplify completely.

Answers

Answer 1

Answer:

4x²+ 4x +4

Step-by-step explanation:

g(f(x)) = (2x + 1)² + 3

= 4x² + 4x + 1 + 3

= 4x²+ 4x +4

Answer 2

Answer:

(4x^2) + (4x) + 4

Step-by-step explanation:

Let a = f(x) = 2x+1

g(a) = a^2 + 3 = (2x+1)^2 + 3 = 4x^2 + 4x + 4


Related Questions

5(2+(-9))+-25
HELP
PLZZ

Answers

Answer: -60

Step by step
5 (2 - 9) -25
Start by distributing which will give you
10 - 45 - 25
Combine your like terms giving you
-60

Answer:

-115

Step-by-step explanation:

Using BODMAS

+(-9) = -9

2(-9) = -18

5(-18) = -90

(-90) + (-25) = -90 - 25 =  -115

15.21 x 0.72 can somebody help its an assignment

Answers

Answer:

10.9512

Step-by-step explanation:

Answer:

10.9512 (not sure if u have to round it)

Step-by-step explanation:

3. If the diameter of “Frosty the Snowman’s” hat is ten inches, what’s the radius?

Answers

The radius is 5 inches

what is the value of 5/6 divded by 1/2 helpi am bad at math

Answers

Answer:

5/3 or 1 2/3

Step-by-step explanation:

when you multiply fractions, you must 'multiply by the reciprocal'

you keep the first fraction the same, then you change the operation to multiplication, and finally you flip the second fraction so the denominator becomes the numerator and vice versa

5/6 ÷ 1/2 is the same as 5/6 × 2/1 = 10/6

always reduced to lowest terms when you can . . .

10/6 equals 5/3

Answer:

1.6667 as a decimal

Step-by-step explanation:

Hope this helps! Have a great rest of your day!

Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.

Answers

Answer:

3

Step-by-step explanation:

gradient/slope/m formula:-

(-6,2) (4,10).

m=(10-4)/(-4-6)

m=6/2

m=3

The answer is 4/5. Use the gradient formula y2-y1/x2-x1

- 12 \geq - 2 x - 15
[tex] - 12 \geqslant - 2x - 15[/tex]
what is this answer??? plssss help gotta get it done by tomorrow ​

Answers

Answer:

x= -3/5

Step-by-step explanation:

-12>= -2x-15

add 15 to both sides 3>= -2xdivide by -23/-2=x

A piecewise function is represented by the graph below.

On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?

x < –1
–1 ≤ x ≤ 1
1 ≤ x < 2
x > 1

Answers

A piecewise function is used that combines several functions at different intervals.

The domain of the function represented by f(x) = x + 1 is x > 1

The function f(x) = x + 1 is represented by the second line that has an open circle at (1,2) and continues to (3,4)

The open circle at point (1,2) means that, the x value at this point is not included in the domain of f(x) = x + 1

So, the domain of f(x) = x + 1 is x > 1

Read more about piecewise functions at:

https://brainly.com/question/17966003

Answer:

D

Step-by-step explanation:

Correct on Edge

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Answers

hello there! you did not put any question so i would not be able to answer your question :(

What do the following two equations represent?
. 4x + 2y = 10
• 4x – 2y = –10
Choose 1 answer:
The same line
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines

Answers

Answer:

Intersecting but not perpendicular

Step-by-step explanation:

2y=-4x+10= Y=-2x+5

-2y=-4x-10= Y=2x+5

Robby took his dog to the pet grooming store. The service costs $30. He tips the groomer 25%.
How much in total does the groomer get?

CAN SOMEONE SHOW ME HOW TO DO THE WORK?

Answers

Answer: $37.50

Step-by-step explanation:

You multiply the $30 by the percentage tip so 25% in this case, first make it a decimal that would be 0.25. 30*.25=7.50 then you add the 7.50 to the 30 which is gives you the $37.50

Answer:

$37.50

Step-by-step explanation:

25% of 30 is 7.50   $7.50+$30=$37.50

7 Point Question Tyler was trying to prove that all rhombuses are similar. He thought, “If I draw 2 rhombuses, I can find dilations that will take one rhombus exactly onto the other.” Then he wrote a proof. However, all rhombuses are not similar. Which steps in Tyler’s proof have flaws? Explain what is wrong with each step that is wrong. Step 1: Let ABCD and WXYZ be rhombuses. By the definition of a rhombus, AB≅BC≅CD≅DA and WX≅XY≅YZ≅ZW. Step 2: Dilate rhombus ABCD by the scale factor given by $$ WX AB​. Side A'B' will be the same length as WX because of how I chose the scale factor. Because all sides of a rhombus are congruent, B'C' will be the same length as WX and therefore the same length as XY, C'D' will be the same length as YZ, and A'D' will be the same length as WZ. That means all the corresponding sides of A'B'C'D' and WXYZ will be the same length. Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so there must be a sequence of transformations that take ABCD onto WXYZ using dilations and rigid motions. Step 4: Translate A'B'C'D' by the directed line segment A'W so that A″ and W coincide. Step 5: Rotate A″B″C″D″ by angle B″WX so that B‴ and X coincide. Now segments A‴B‴ and WX coincide. Step 6: If needed, reflect A‴B‴C‴D‴ over segment WX so that D⁗ and Z are on the same side of WX. Now segments A⁗D⁗ and WZ coincide. Step 7: Once 3 vertices of the rhombus are lined up, the other vertex has to line up as well or else the shapes wouldn’t be rhombuses. So, we have shown we can use rigid motions and dilations to line up any 2 rhombuses, and therefore, all rhombuses are similar. (Select all that apply.) Step 1 is incorrect. The definition of a rhombus does not say that all the sides are equal. Step 2 is incorrect. The scale factor is not $$ . Step 3 is incorrect. It is only true for triangles that if all the side lengths in a figure are proportional, the figures must be similar. Step 4 is incorrect. Translating by the directed line segment

Answers

A rhombus can have the same shape and dimension as a square or a

parallelogram, therefore, all rhombuses are not similar.

A step in the proof that have flaws is step 3.

Reasons:

By reading through the given steps, we have, the first step that is incorrect

is step 3.

Step 3: The requirement for the similarity of two figures based on the

proportionality of the corresponding sides of the figures is related with

triangles as given by the triangle proportionality theorem.

This is so because, the lengths of the sides of a triangle depends on the

opposite interior angle, while the side of a rhombus can have a

combination of large length and and acute angle.

Two rhombuses that have proportional sides may be dissimilar,

because they can have different interior angles.

Therefore;

The step in Tyler's proof that have a flaw is Step 3

Learn more about similarity between geometric figures here:

https://brainly.com/question/10270676

The table shows the prices for fruit items at a local farmer’s market. Katelyn purchased four pounds of apples, six navel oranges, two mangoes, and three watermelons. The farmer’s market charged a convenience fee of $3 per order. Katelyn paid with a $50 bill.

Fruit Price List
Item Price
Crispy Apples $1.79 (per pound)
Navel Oranges 4 for $5.00
Mango $1.50 each
Watermelon $5.99 each

How much change should Katelyn receive from the $50 bill?
F.$11.37

Answers

The change Katelyn should receive from the $50 bill is $11.37.

The first step is to determine the total cost of the purchase.

Total cost of the 4 pounds of apples = $1.79 x 4 = $7.16

Total cost of six navel oranges = ($5 / 4) x 6 = $7.50

Total cost of  two mangoes = $1.50 x 2 = $3

Total cost of three watermelons = $5.99 x 3 = $17.97

Total cost of the fruits = $35.63

Total cost of the order = $35.63 + $3 = $38.63

Change = $50 - $38.63 = $11.37

To learn more about total cost, please check:  https://brainly.com/question/25717996

You have at most $10 to spend on notebooks and markers. Markers cost $1 each, and
notebooks cost $1.25 each. You want to buy at least 5 items. Write an inequality that
represents this situation. Identify and interpret two solutions.

Answers

Answer is provided in the picture uploaded with steps

I need help with this math problem. ​.

Answers

Answer:the answer is a

Step-by-step explanation:

What would be the equation of the midline of this graph?

Answers

Answer:

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

Why is it helpful to use the rational zero theorem in finding the zeros of polynomial function? Explain your answer.

Answers

Answer:

The rational roots theorem is a very useful theorem. It tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.

Hope that helps.

Answer:

Finding the Zeros of Polynomial Functions The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function. Given a polynomial functionuse synthetic division to find its zeros.

Step-by-step explanation:

i hope it helpful:)

The area of the triangle below is 5.52 square feet.
What is the length of the base?

Answers

Answer:

  4.6 ft

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

Fill in the given values and solve for the base.

  5.52 = 1/2b(2.4)

  5.52/1.2 = b = 4.6 . . . . divide by the coefficient of b

The base is 4.6 feet.

Select all values equal to the fraction below:

Answers

option 1 and option 3

A newspaper carrier can deliver 180 newspapers in three hours. How long would it take the newspaper carrier to deliver 120 newspapers?

Answers

Answer:

I think it's 2 hours.

Hope that helps you. x

Step-by-step explanation:

180 newspapers can be delivered in 3 hours,

60 minutes are in 1 hour.

180 divided by 3 = 60

60 x 2 = 120.

So 120 newspapers can be delivered in 2 hours.

im so confused please help me quickly

Answers

Answer:

a

Step-by-step explanation:

What is the answer to | 6-4|-|3-8|

Answers

Answer:

-3

Step-by-step explanation:

Let's do the sums, and let's remember that the absolute value of a number is the number itself if positive, or it's opposite if negative [tex]|6-4|-|3-8|= |2| -|-5|=2-5=-3[/tex]

3 out of every 5 students in Mrs. Wilson's class have brown eyes. There are 20 students in Mrs. Wilson's class. How many of the students in Mrs. Wilson's class have brown eyes?

Answers

Answer:

12

Step-by-step explanation:

So there is 3:5 right, so 20 divided by 5 equals 4, there are four 5's in 20.  Then 4 multiplied by 3 equals 12. So there are 12 students that has BROWN EYES.

Hope I Helped You :)

admission to the state fair costs $5 and each ride costs $0.75 if john and his three sons went to the fair and john spent a total of $56 how many rides did each person ride?

Answers

Answer:

t

Step-by-step explanation:

David made $80,950 last year. If his income is decreased by 7.25%, what is his adjusted
income, Ai? (show equation).

HELPP PLEASEEE

Answers

Answer:

75081

Step-by-step explanation: multiply 80950 by 0.9275

3x-17=x+3 in form ax+b=c

Answers

Answer:

20/3 or 6.66

Step-by-step explanation:

3x-17=x+3      3x=20+x      x=20/3+x      20/3      6.66---

State what information is required to know that the triangles are congruent.
-GEOMETRY

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The additional information needed to prove that the triangles are congruent is ~ A

[tex] \sf\angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U[/tex]

in the equation 3/4y+1/2=31/4 the fractional cofficient

Answers

Answer:

The coefficient is 32.

Step-by-step explanation:

I hope I have helped you if not tell me.

What is the slope of the line through (2, -1) and (-2, -3)?

Answers

[tex]\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12[/tex]

Answer:

Step-by-step explanation:

Using slope formula:

(y2-y1)/(x2-x1)

(-3 + 1) / (-2-2)

-2/-4

slope: 1/2



Six grapefruit cost as much as a dozen oranges. The cost of a dozen grapefruit and two dozen oranges

is $12. If Susan purchased one orange and one grapefruit, how much did she spend? Show your

thinking.


a.Write System of equations for the above problem.



b. Solve the system of equations


c.Explain the meaning of the solution in the context of the problem.

Answers

Answer:

$0.73

Step-by-step explanation:

Let's say an orange costs O dollars and a grapefuit costs G dollars.

We add G dollars for each grapefuit and O dollars for each orange, so, for example, 12 grapefuit = G added 12 times = 12 *G = 12G

a.

6G = 10O

12G + 24O = 12

6 grapefuit = 6G = 10 oranges = 10O

b.

6G = 10O

12G + 24O = 12

We can solve this using substitution. First, we can solve the first equation for G. After that, we can plug that into the second to find O and go from there.

6G = 10O

divide both sides by 6 to remove the coefficient for G

G = (10/6)O

plug that into the second equation

12*(10/6)O + 24O = 12

20O + 24O = 12

44O = 12

divide both sides by 44 to solve for O

O=12/44 = 6/22

6G = 10O

6G = 60/22

divide both sides by 6 to solve for G

10/22 = G

c.

These solutions mean that an orange (O) costs 6/22 dollars and a grapefuit (G) costs 10/22, so 1O + 1G = 16/22 dollars ≈ $0.73. Note that O and G are kept as fractions because they are not exact dollar amounts, e.g. 0.27 repreating

What is -7w-4-5w+13 simplified?

Answers

-12W+9
It’s right I am an algebra 1 teacher
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