Pretest: Unit 3
Question 16 of 20
For R(x) = 4x + 2 and g(x) = x2 - 6, find (f+g)(x).
A. 4x3 - 4
B. x2 + 4x - 4
O c. 4x2 - 16
O D. x2 + 4x+8
BMI

Answers

Answer 1

Answer:

(f + g)(x) = x² + 4x - 4B

Step-by-step explanation:

Let us solve the question

f(x) = 4x + 4

g(x) = x² - 6

→ We need to find (f + g)(x) which means f(x) + g(x)

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = (4x + 2) + (x² - 6)

∴ f(x) + g(x) = 4x + 2 + x² - 6

→ Add the like terms

∵ f(x) + g(x) = 4x + x² + (2 - 6)

∴ f(x) + g(x) = 4x + x² + (-4)

→ Remember (+)(-) = (-)

∴ f(x) + g(x) = 4x + x² - 4

→ Arrange the terms from greatest power of x

∴ f(x) + g(x) = x² + 4x - 4

(f + g)(x) = x² + 4x - 4


Related Questions

Mr. Nguyen bout a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes brought a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. How much did each chicken leg and each chicken wing weigh?

Answers

Complete Question

Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes bought a package of 3 chicken legs and a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. Ms. Dawes bought 42 ounces of chicken. How much did each chicken leg and each chicken wing weigh?​

Answer:

Weight of Chicken leg = x = 8 ounces

Weight of Chicken wing = y = 3 ounces

Step-by-step explanation:

Let us represent

Weight of Chicken leg = x

Weight of Chicken wing = y

Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings.Mr. Nguyen bought 45 ounces of chicken.

3x + 7y = 45 ounces.... Equation 1

Ms. Dawes bought a package of 3 chicken legs and a package of 6 chicken wings. Ms. Dawes bought 42 ounces of chicken.

3x + 6y = 42 ounces... Equation 2

Combining both Equations together we solve by Elimination method

3x + 7y = 45.... Equation 1

3x + 6y = 42... Equation 2

We eliminate x by subtracting Equation 2 from Equation 1

Hence:

y = 3 ounces

Solving for x

3x + 6y = 42 ounces... Equation 2

3x +6(3) = 42 ounces

3x + 18 = 42 ounces

3x =( 42 - 18) ounces

3x = 24 ounces

x = 24 ounces/3

x = 8 ounces

Hence:

Weight of Chicken leg = x = 8 ounces

Weight of Chicken wing = y = 3 ounces

Answer:

chicken leg- 8 oz

chicken wing- 3 oz

Step-by-step explanation:

HELP ASAP PLEASE!!
solve the literal equation: 2ax+9=23 for x and show your work

Answers

Answer:

x = 7/a

Step-by-step explanation:

2ax + 9 = 23

Inverse operations

2ax + 9 = 23

       -9     -9

2ax = 14

/2        /2

ax = 7

/a    /a

x = 7/a

Geometry help please explain

Answers

Answer: 11

Step-by-step explanation: SAS Postulate states that any two triangles that share the same Side, Angle, Side, are congruent. Since those two triangles share the side length of 5, and then a 90 degree right angle, and the side PM every corresponding side and angle with equal each other. Such as side MN and ML.

what are the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3

Answers

Answer:

(-5/2,5)

I hope it will be useful.

The coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).

What is the line segment?

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now the given coordinates are,

(-4,10) and (2,-10)

Thus, we have,

x₁  = -4

y₁ = 10

x₂ = 2

y₂ = -10

Given ratio, m₁ : m₂ = 1 : 3

⇒ m₁ =  1; m₂ =  3

Let (x,y) be the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3.

Since the section formula is given as,

So, x = (m₁x₁ + m₂x₂) / (m₁ + m₂)  

y =  (m₁y₁ + m₂y₂) / (m₁ + m₂)  

Put the values,

x = [1(-4) + 3*2)] / (1 + 3) = (-4+6) / 4 = 2/4

⇒ x = 1/2

Similarly y = [1(10) + 3*(-10)] / (1 + 3) = (10-30) / 4 = -20/4

⇒ y = -5

So, the required coordinates are (1/2, -5)

Thus, the coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).

To learn more about line segment :

brainly.com/question/12774890

#SPJ2

Marilyn borrowed $47,500 to pay for college. If the interest rate is 4.6%,
how much total will she have paid after 15 years?


plzplz plz answer

Answers

Answer:

98,635

Step-by-step explanation:

Find the x and y intercepts of the line 2y = 4x - 5

Answers

Divide by 2

Y = 2x - 2.5

x intercept: when y = 0

0 = 2x - 2.5

2.5 = 2x, x = 1.25

y intercept: when x = 0

Y = 2(0) - 2.5, y = -2.5

Solution: (1.25, 0) and (0, -2.5)

The slope is 2 and the y-intercept is ( 0, -5/2 )

Belinda eats 40 percent of the cake and Graham eats 25 percent of the remainder.
What is the mass of the cake left over?

Answers

Answer:

35%

Step-by-step explanation:

40%+25%=65%

100%-65%=35%

Suppose x, y and z are integers. Prove that, if 3x−y + 5z is even, then at least one of x, y or z is even.

Answers

Given:

x, y and z are integers.

To prove:

If [tex]3x-y+5z[/tex] is even, then at least one of x, y or z is even.

Solution:

We know that,

Product of two odd integers is always odd.          ...(i)

Difference of two odd integers is always even.          ...(ii)

Sum of an even integer and an odd integer is odd.      ...(iii)

Let as assume x, y and z all are odd, then [tex]3x-y+5z[/tex] is even.

[tex]3x[/tex] is always odd.          [Using (i)]

[tex]5z[/tex] is always odd.          [Using (i)]

[tex]3x-y[/tex] is always even.       [Using (ii)]

[tex](3x-y)+5z[/tex] is always odd.       [Using (iii)]

[tex]3x-y+5z[/tex] is always odd.

So, out assumption is incorrect.

Thus, at least one of x, y or z is even.

Hence proved.

O is the centre of the circle and ABC and EDC are rangers to the circle. Find the side of angle BCD. You must give reason in your answer. (4marks)PLZZZZZZ HELP!!

Answers

Every line from the tangent to the centre is 90°. This is said in the circle theorems.

So angle OBC and ODC are 90°.

angle O is twice the size of angle F. This is another circle theorem.

Therefore angle O is 152°.

The quadrilateral of ODBC would equal to 360°. Which means 90° + 90° + 152° = 332°

360° - 332° = 28°.

The answer is 28°

Answer:

∠BCD = 28°

Step-by-step explanation:

arc BD = 2 x inscribed angle ∠BFD = 2 x 76 = 152

arc BFE = 360 - arc BD = 360 - 152 = 208

tangent-tangent angle ∠BCD = (arc BFE - arc BD)/2 = (208 - 152)/2 = 28

Figure A is dilated to create A'. 5 in 3 in Figure A Figure A 10 in 6 in Which rule best represents the dilation that was applied to figure A? A. (x, y) (5x, 3y) B. (x, y) - (x, yl C. (x,y) - (x, y) D. (x, y) - (0.6x, 0.6y)​

Answers

Answer:

A does

Step-by-step explanation:

5+3+10+6=24x56310B=A+B=A

PLEASE HELP WILL MARL BRAINLIEST!!!!!!!!

Answers

Answer:

c

Step-by-stepexplanation:

Answer:

i believe the answer is a

i'm not sure...........

hope its right

:)

Derrick has a total of 9 nickels and quarters in his pocket. The total amount of money he has in coins is $1.45.

How many nickels and how many quarters does Derrick have?

Answers

Answer:

Derrick has 5 quarters and 4 nickles

Step-by-step explanation:

your welcome :D

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

x=3.6

Step-by-step explanation:

multiply 4 by 9 and then divide by 10

Answer:

x/4=9/10

x*10=9*4

x=(9*4)/10

X=3.6

Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)

Answers

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                               (f - g)(x) = x² - 2x - 63 - (x + 7)Distribute -1:                            (f - g)(x) = x² - 2x - 63 - x - 7Combine like terms (x):          (f - g)(x) = x² - 3x - 63 - 7Combine like terms (Z):          (f - g)(x) = x² - 3x - 70

Which expression is equivalent to 1/3 p + 15 ?

Answers

[tex] \frac{1}{3} p + 15[/tex]

= 1/3(p + 45)

How much money will be in a bank account after 4 years if $8 is deposited at an interest rate of 5%?
a.
$12.00
c.
$16.00
b.
$10.41
d.
$9.72

Answers

Answer:

$9.60

Step-by-step explanation:

The question above is a simple interest question.

The formula for the amount of money after a given period of time using simple interest is given as:

A = P(1 + rt)

Where

P = Initial Amount saved or invested = $8

R = Interest rate = 5%

t = Time in years = 4

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 8(1 + (0.05 × 4)) = 9.6

A = $9.60

The amount of money that will be in a bank account after 4 years is $9.60

helppppppp11111111111111111111111!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
will give brainliest

Answers

9514 1404 393

Answer:

2/3; (x, y) ⇒ (2/3x, 2/3y)1/2; (x, y) ⇒ (1/2x, 1/2y)7/8; (x, y) ⇒ (7/8x, 7/8y)1/4; (x, y) ⇒ (1/4x, 1/4y)

Step-by-step explanation:

For dilations about the origin, such as these, the scale factor is always the ratio of any image point coordinate* to the corresponding preimage point coordinate. If the scale factor is k, the transformation can be written as ...

  (x, y) ⇒ (kx, ky)

__

  S(9,12) ⇒ S'(6, 8) . . . . scale factor is 6/9 = 2/3; relation is (x, y) ⇒ (2/3x, 2/3y)

  U(8, 18) ⇒ U'(4, 9) . . . scale factor is 4/8 = 1/2; relation is (x, y) ⇒ (1/2x, 1/2y)

  I(0,8) ⇒ I'(0, 7) . . . scale factor is 7/8; relation is (x, y) ⇒ (7/8x, 7/8y)

  X(16, 8) ⇒ X'(4, 2) . . . scale factor is 2/8 = 1/4; relation is (x, y) ⇒ (1/4x, 1/4y)

_____

* The origin is the one invariant point in a dilation, so the chosen coordinate cannot be zero.

-12/7z=48 pls help!!

Answers

i got 81.6
explination: if this is right, please mark me brainliest.
Times both side by 7
So then -12z=336
Divide by -12
Z=-28

3x + 4y = –20
6x + 5y = –7

Answers

Answer:

x = 8

y = -11

Step-by-step explanation:

In this question, we have to find out the value of "x" and "y".

Solve:

Lets solve for y first.

-2(3x + 4y = -20)

6x + 5y = -7

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

-6x - 8y = 40

6x + 5y = -7

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

-3y = 33

Divide both sides by -3

y = -11

We now know what the value of "y" is, now we must find the value of x. To do this, we would plug -11 to "y" in one of our equations.

Solve for x:

3x + 4y = -20

3x + 4(-11) = -20

3x - 44 = -20

Add 44 to both sides.

3x = 24

Divide both sides by 3

x = 8

Now we know that our answer are:

x = 8

y = -11

What is the additive inverse of 9x-15

Answers

Answer:

[tex]-9x+15[/tex]

Step-by-step explanation:

[tex]As\ the\ additive\ inverse\ of\ any\ number\ a\ is\ b,\ where,\\a+b=0\\Or, b=-a\\Hence, here, \\In\ order\ to\ find\ the\ additive\ inverse\ of\ 9x-15, we\ just\ add\ the\\ expression\ with\ b\ and\ equate\ it\ to\ 0.\\Hence,\\(9x-15)+b=0\\Hence,\\b=-(9x-15)\\b=-9x+15[/tex]

For the figure below, find the values of x and y.

Answers

Answer:

x = 40 y = 140

Step-by-step explanation:

The angles on the same side of the isoceles trapezoid are equal and the opposite sides are supplementary to the other angles.

I WILL GIVE BRANLISTY HELP I HAVE A F


WHAT ARE THE INCHES AND CENTIMETERS OF THIS SQUARE AND GIVE REASON

Answers

Answer:

dude what type of question is this

Raquela's coworker made price tags for several items that are to be marked down by 35%. Match each Regular Price to the correct Sale Price.
Regular Price: $4.19
Regular Price: $3.09
Regular Price: $3.77
Regular Price: $3.29
.: Sale Price: $2.01
.: Sale Price: $2.45
:: Sale Price: $2.72
: Sale Price: $2.14

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

I like a spreadsheet for doing repetitive calculations. The matchup is shown in the attachment.

The sale price is 100% - 35% = 65% = 0.65 times the regular price.

__

Here, you can also identify the matches by putting the prices in numerical order. The lowest regular price will correspond to the lowest sale price.

  regular, sale

  3.09, 2.01

  3.29, 2.14

  3.77, 2.45

  4.19, 2.72

What is the constant of proportionality shown by the values in the table?

Answers

Answer:

Slope = 2.5

Step-by-step explanation:

Hope this helps. Pls give brainliest.

HELP WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

y = x - 4 and y = 4x + 2

=> x - 4 = 4x + 2

=> 3x = -6

=> x = -2

y = x - 4 = (-2) - 4 = -6

The solutions are x = -2 and y = -6.

Answer:

x = -2

y = -6

Step-by-step explanation:

y = x - 4

y = 4x + 2

y = y

then:

x-4 = 4x+2

x - 4x = 4 + 2

-3x = 6

x = 6/-3

x = -2

y = x - 4

y = -2 - 4

y = -6

Can someone please explain how to solve 2.7÷0.8 step by step please​

Answers

Answer: 3 and 3/8 or 27/8

Step-by-step explanation:

First step, you will need to move the decimal to the side by 1 place value.

0.8 --> 8. and 2.7--> 27.

Then just do your normal dividing.

27/8 = 3 and 3/8

The answer to 2.7÷0.8 can be either a mixed number or an improper fraction.

You have to move the decimal places to the right as many times as you need in order to make the number a while number you move the decimal place the same times as you did to the number outside the box which makes is 8 divided by 27 8 can’t go into 2 so u add a 0 and 8 can go into 27 3 times. You add a decimal point and subtract 24 from 27 u get 3 then you add a decimal point with a 0 8 can go into 30 3 times so it’s 6 add a decimal point to make it 60. Then 8 can go into 60 7 times subtract 56 from 60 and you get 4 add a decimal point and you get 40 8 can go into 40 5 times and your answer is 3.375

I added picture so u can see how it looks when you do it.

1/3x-2=16 solve the equation

Answers

Answer: x= 1/54
Explained: easy mental math :p

Answer:

x=54

Step-by-step explanation:

1/3 x 54 = 18, 18 - 2 = 16

:)

What are the zeros of this function? Circle them on the graph.

Answers

Given:

The graph of a function.

To find:

The zeros of this function on the graph.

Solution:

We know that, zeros are the values at which the values of the function is 0. It means, the points where the graph of function intersect the x-axis are know as zeros of the function.

From the given graph it is clear that, the graph intersect the x-axis at two points.

Therefore, the marked points on the below graph are the zeros of the function.

ANSWER ASAP PLEZ I HAVE BEEN ON THESE QUESTIONS FOREVER AND PLEASE DONT JUST TAKE THE POINTS I REALLY NEED HELPPPPPPPPPPP :(

Answers

Answer: For #6, domain is {-3≤x<4}, range is {-3<y≤-1}

Step-by-step explanation: For #6 domain, the leftmost point on the graph is -3, with a closed circle. This means that x is greater than or equal to -3 (-3≤x). The rightmost point is 4, with an open circle, meaning that x is less than 4 (x<4). Put them together in the standard format, and you get {-3≤x<4}. Same principle for range; lowest point is -3, with an open circle (-3<y), and highest point is -1, with a closed circle (x≤-1). Result is {-3<y≤-1}.

I'm not sure whether you are a beginner at this or if it's just this one that you're stuck on, I hope my answer was sufficient.

Find all possible solutions for x such that △ABC is congruent to △DEF.

△ABC: sides length 7, 9, x
△DEF: sides length 7, 10, x − 1
The solution is x =

Answers

Answer:

how many times did you post this?

Step-by-step explanation:

Other Questions
________ programs help solve the problem of running out of storage space by providing lists of application programs, stored videos, and other program files so that you can eliminate unused applications or archive large files elsewhere. 88. Mi familia ____________ (conseguir) boletos para el parque aqutico.94. A qu hora ____________ (regresar, t) de la fiesta anoche? What is the measure of Zx?Angles are not necessarily drawn to scale.Y- Z106W WO Plz help what does this mean in binary???? 01010100 01101000 01100101 00100000 01000110 01101001 01110100 01101110 01100101 01110011 01110011 01000111 01110010 01100001 01101101 11100010 10000100 10100010 00100000 01010000 01100001 01100011 01100101 01110010 00100000 01010100 01100101 01110011 01110100 00100000 01101001 01110011 00100000 01100001 00100000 01101101 01110101 01101100 01110100 01101001 01110011 01110100 01100001 01100111 01100101 00100000 01100001 01100101 01110010 01101111 01100010 01101001 01100011 00100000 01100011 01100001 01110000 01100001 01100011 01101001 01110100 01111001 00100000 01110100 01100101 01110011 01110100 00100000 01110100 01101000 01100001 01110100 00100000 01110000 01110010 01101111 01100111 01110010 01100101 01110011 01110011 01101001 01110110 01100101 01101100 01111001 00100000 01100111 01100101 01110100 01110011 00100000 01101101 01101111 01110010 01100101 00100000 01100100 01101001 01100110 01100110 01101001 01100011 01110101 01101100 01110100 00100000 01100001 01110011 00100000 01101001 01110100 00100000 01100011 01101111 01101110 01110100 01101001 01101110 01110101 01100101 01110011 00101110 00100000 01010100 01101000 01100101 00100000 00110010 00110000 00100000 01101101 01100101 01110100 01100101 01110010 00100000 01110000 01100001 01100011 01100101 01110010 00100000 01110100 01100101 01110011 01110100 00100000 01110111 01101001 01101100 01101100 00100000 01100010 01100101 01100111 01101001 01101110 00100000 01101001 01101110 00100000 00110011 00110000 00100000 01110011 01100101 01100011 01101111 01101110 01100100 01110011 00101110 00100000 01001100 01101001 01101110 01100101 00100000 01110101 01110000 00100000 01100001 01110100 00100000 01110100 01101000 01100101 00100000 01110011 01110100 01100001 01110010 01110100 00101110 00100000 01010100 01101000 01100101 00100000 01110010 01110101 01101110 01101110 01101001 01101110 01100111 00100000 01110011 01110000 01100101 01100101 01100100 00100000 01110011 01110100 01100001 01110010 01110100 01110011 00100000 01110011 01101100 01101111 01110111 01101100 01111001 00101100 00100000 01100010 01110101 01110100 00100000 01100111 01100101 01110100 01110011 00100000 01100110 01100001 01110011 01110100 01100101 01110010 00100000 01100101 01100001 01100011 01101000 00100000 01101101 01101001 01101110 01110101 01110100 01100101 00100000 01100001 01100110 01110100 01100101 01110010 00100000 01111001 01101111 01110101 00100000 01101000 01100101 01100001 01110010 00100000 01110100 01101000 01101001 01110011 00100000 01110011 01101001 01100111 01101110 01100001 01101100 00101110 00001010 Combine Like Terms22+15x=34-17x Explain please Ill give brainliest to the best response!!:) 2. Write a sentence that uses the possessive case of a singular noun. Which of the following statements is true about narrative text? I will mark brainliest ASAP PLZZZZA.)It is only written to entertain or inform readers.B.)It has so many purposes there is no clear definition.C.)It may inform, persuade, entertain, inspire, or teach.D.)It has no purpose other than to persuade people to buy it. A diving board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet below the ground. Use the equation from the previous question to solve the equation. Circle your answer How many solutions does the quadratic system shown below have ? find the compound ratio of 6:5cm and 2:5 I need help asapWhat is not a part of level one Maslow hierarchy of needsA.sleepB.waterC.excersiseD.food A skier is traveling at a speed of 34.7 m/s when she reaches the base of a frictionless ski hill. This hill makes an angle of 10^o with the horizontal. She then coasts up the hill as far as possible. What height (measured vertically above the base of the hill) does she reach? IM TIMED PLEASE HELP I WILL GIVE BRAINLIEST Which best describes the structure of this paragraph?O compare and contrastO chronological orderO cause and efectO sequence of eventshe Which factor determines the direction most molecules willpass through the cell membrane? Hinduism and Mahayana Buddhism are both what type of religion? help i mark brainlist Yo can somebody help me ? A restaurant is offering 2 specials: 10 burritos for $12, or 6 burritos for $7.50. Noah needs 60 burritos for his party. Should he buy 6 orders of the 10-burrito special or 10 orders of the 6-burrito special? If 5/2 kg of carrots cost $3,how much will 3/2 kg cost?