If f(x) = 2x + 5x and g(x) = 3x - 5, find (f+ g)(x).
O A. 2X + 8x - 5
B. 2X + 2x + 5
C. 24 - 2x - 5
D. 10x - 5

Answers

Answer 1

Answer:

D. 10x - 5

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 5x

g(x) = 3x - 5

(f + g)(x) is f(x) + g(x)

Step 2: Simplify

f(x) = 7x

g(x) = 3x - 5

Step 3: Find

Substitute:                     (f + g)(x) = 7x + (3x - 5)Combine like terms:     (f + g)(x) = 10x - 5

Related Questions

5.The data in the line plot show how many pages each student read last night. Which is the best measure of variability?
A)interquartile range
B)mean
C)median
D)range

Answers

B. Mean ......................

Joe drove 12 miles in the morning and 16 miles
in the afternoon. How many miles total did he drive?

Answers

Answer:28

Step-by-step explanation:

Morning=12 miles

Afternoon=16

12+16=28

seroiosly help please
A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.

21.09 feet
24.20 feet
37.47 feet
49.34 feet

Answers

Answer: 76.406

The side of the triangle is 43 and the angle is 29.37. We need to find the adjacent side of the angle, using the opposite side that is given. Tangent would use opposite/adjacent. Solve

Apply the distributive property using the greatest common factor to write an equivalent expression ​

Answers

0.3(x-9)=0.3x-2.7

0.3•x=0.3x
0.3•-9=-2.7

Solve the inequality.
X + 25 < 33
O A. x< 58
B. x < 8
C. X> 58
O
D. X > 8

Answers

Answer:

x < 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

x + 25 < 33

Step 2: Solve for x

Subtract 25 on both sides:                    x < 8

Here we see that any value x smaller than 8 would work as a solution to the inequality.

Write an equation of the line that passes through the given points. ​(-1,7) and (3,-5)

Answers

Answer:

y=-3x+4

Step-by-step explanation:

First, let's find the slope (m)

(-1,7), and (3,-5)

the formula is: (y2-y1)/(x2-x1)

we can label the points.

x1=-1

y1=7

x2=3

y2=-5

substitute into the equation

m=(-5-7)/(3--1)

m=(-12)/4

m=-3

Now let's use the equation for point-slope form, which is y-y1=m(x-x1)

using the labeled points from above:

y-7=-3(x+1)

do distributive prop

y-7=-3x-3

add 7 to both sides

y=-3x+4

Jordan found cloth for $7.50 per yard. How much would his total cost be if he needed 12 yards of cloth?

Answers

Jordan would need 90 dollars

To catch a ball, a professional baseball player leaps into the air with an initial velocity of
14 feet per second. Write a model for the height of the player above the ground after t seconds. After how many seconds does the player land on the ground? What would be the domain of this function?

Answers

Answer:

The answer is below

Step-by-step explanation:

a) The baseball player leaps into the air with an initial velocity of  14 feet per second. This means that the player leaps from the ground, the initial height is therefore zero.

The height (y) is given by the formula:

y(t) = ut - (1/2)gt² + initial heigth

u = initial velocity = 14 ft/s, t = time taken, g = acceleration due to gravity = 32 ft/s². Substituting:

y(t) = 14t - (1/2) * 32 *t² + 0

y(t) = 14t - 16t²

b) when the player is on the ground, the height = 0. hence:

0 = 14t - 16t²

16t² - 14t = 0

t(16t - 14) = 0

t = 0 or 16t - 14 = 0

t = 0 or 16t = 14

t =0 or t = 0.875

Hence t = 0.875 seconds

c) The domain is the set of possible values for the time. Hence:

Domain = (0, 0.875] = 0 < t ≤ 0.875

herlene has 5.05 in quarters and dimes. The number of quarters is one more than twice the number of dimes. Find the number she has of each kind.

Answers

Answer:

Herlene has 8 dimes and 17 quarters

Step-by-step explanation:

System of Equations

Let's call:

x = number of dimes Herlene has

y = number of quarters Herlene has

Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.

We know this amount is $5.05, thus:

0.10x + 0.25y = 5.05        [1]

It's also given the number of quarters is one more than twice the number of dimes, i.e.:

y = 2x + 1        [2]

Substituting in [1]:

0.10x + 0.25(2x + 1) = 5.05

Operating:

0.10x + 0.5x + 0.25 = 5.05

0.6x = 5.05 - 0.25

0.6x = 4.8

x = 8

From [2]:

y = 2*8 + 1 = 17

y = 17

Herlene has 8 dimes and 17 quarters

STONE COAST ACADEMY

22) A broker bought stock at $21.45 per share and sold it the following month for $26.40 per share. What was his gross profit (before
commissions and taxes) on 120 shares sold?
A. $610
B. $580
C. $594
D $601

hurry plz in exam

Answers

hey i think the right answer is
$594
Explanation- i got it right

Plz help point is 50

Answers

Answer:

Your answer would be Phoenix. Phoenix had a temperature of 8 degrees.

Step-by-step explanation:

the answer should be C

5.4+(-6.8)
Please help

Answers

Answer:

-1.4

Step-by-step explanation:

trust me :0

Answer:

-1.4

Step-by-step explanation:

PLEASE HELP!! Will mark brainliest, find the measure of

Answers

Answer:

[tex]m\angle BYP=42^\circ[/tex]

Step-by-step explanation:

Lines and angles

The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.

[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]

We are given the acute angles as a function of m. thus:

5m + 98 + 2m + 48 = 90

Simplifying:

5m + 146 = 90

5m = -56

m = -56/5 = -11.2

m = -11.2°

To find the measure of angle BYP, substitute m in

5m + 98 = 5*(-11.2) + 98 = 42°

[tex]m\angle BYP=42^\circ[/tex]

Cole made a scale drawing of the elementary school. The scale he used was
1 centimeter : 2 meters. The school yard is 30 centimeters in the drawing. How wide is the
actual school yard?

Answers

Answer:

I think 60

Step-by-step explanation:

Given that ABC~LMN
What is the length of AC?

Answers

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

[tex] \frac{AB}{LM} = \frac{AC}{LN} [/tex]

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

[tex] \frac{5}{10} = \frac{x + 5}{3x + 3} [/tex]

Cross multiply

[tex] 5(3x + 3) = 10(x + 5) [/tex]

[tex] 15x + 15 = 10x + 50 [/tex] (distributive property)

Collect like terms

[tex] 15x - 10x = -15 + 50 [/tex]

[tex] 5x = 35 [/tex]

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

Find the area of the following triangle:

Answers

Answer:

347.7 units²

Step-by-step explanation:

Area of the triangle = ½*AC*BC*Sin(C)

AC = 24

BC = 30

C = 75°

Plug in the values

Area = ½*24*30*sin(75)

= 347.7 units² (nearest tenth)

If a 6-in wide by 12-in long photo is enlarged to 200% of its size, what are the new dimensions?

Answers

Answer:

Step-by-step explanation:

the new dimensions will be 12 in by 24

4(x - 6y)=..................​

Answers

4(x-6y= equation that’s what it equals

An osprey flying horizontally 100 feet above a lake spots a fish below. It tilts its flight path downward by 45°. If the osprey is diving at 45 mph, at what rate is its altitude changing (rounded to the nearest foot per second)?

Answers

Answer: the rate at which its altitude is changing is -47 ft/s

Step-by-step explanation:

Given that;

ds/dt = 45 mph =  45 × 5280/3600 = 66 ft/sec

no we have to determine dx/dt

so

cos∅ = dx/dt / ds/dt

cos45° = dx/dt / 66  

dx/dt = 0.7071 × 66

dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )

so the rate at which its altitude is changing is -47 ft/s

 

please help ASAP pleassssseeeee

Answers

Answer:

4 miles.

Step-by-step explanation:

We know that Molly travels 20 miles in 5 hours, so we can divide by 5 to find out how many miles she travels in 1.

20/5 = 4/1

Therefore, Molly travels 4 miles per hour.

Answer: 4 miles in one hour

Step-by-step explanation:

If molly goes 20 miles in 5 hours divide 20 miles by 5 hours and you get 4 miles in 1 hour

HELP ME PLZZZ ASAP!!!!

Answers

Answer:

544

Step-by-step explanation:

10×14 =140 × 2 surfaces = 280

12 x 14 =168

1/2 b × h

6x8 = 48 x 2 surfaces areas = 96

Combine

mang pedro has 20 kilogram of rice.he will repack it in 1/2 kilograms per bag.how many bags will he need?​

Answers

Answer:

40

Step-by-step explanation:

20 x 2 because you will need 2 bags per kg

please help asap no trolls!!

Answers

Answer:

def?

Step-by-step explanation:

Answer:

D, E, F

Step-by-step explanation:

I have ixl too!

Hope this helps.

which equation with exponential are true?

3^3 + 3•3

5^2 = 5•5

5^4 = 4•4•4•4•4

7•7•7•7•7•7 = 6^7

7•7•7•7•7•7 = 7^6

7•7•7•7•7•7 = 7^7

Answers

The 3rd option 5^4=4•4•4•4•4

Answer:

5^4 = 4•4•4•4•4

step-by-step explanation:

Angela works at a job that pays $9.46 per hour. She works for 30 hours per week.



Compute the total amount that Angela makes in one week.
$
Number

Answers

$9.46 x 30 hours = $283.80

plz help me i really beg of you!

Answers

Answer:

v = -122.5

Step-by-step explanation:

1: 2.3 + v/7 = -15.2

2: v/7 = -17.5

3: v = -122.5

Step 1: This is the given equation

Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v

Step 3: both sides of the equation were multiplied by 7 to get v = -122.5

Answer:

245 over 2

Step-by-step explanation:

just use a calculator and you should be able to get the question right

Need help on 5, 7 and 8 very urgent plz help will give brainlist if you actually help this is 20% of my grade!!!!

Answers

Answer:

5.)26v+5

7.)32b x 7

8.)a

Step-by-step explanation:

i think these are all right but that's how you do it in algebra so if you aren't in algebra i'm sorry I tried.

A rectangular based prism has a length of
12m a width of 7m and height of 11m. Find
its volume.

Answers

Answer:

924m^3 is the volume of the rectangular prism

If the radius is 52 inches, what is the diameter?

Answers

Answer:

52×2 = 104 inch as per the question

Answer:

104 inches

Step-by-step explanation:

52x2=104

In order to find the diameter using radius, just multiply the radius by two. In order to find the radius using diameter, divide by two.

Mark this brainliest if it helped you out. :D

mrs.jacobs made 40 ounces of lemonade. if she pores equal amounts into 6 separate glasses, how many ounces are in each glass

Answers

Answer:

6.67 ounces

Step-by-step explanation:

40/6=6.6666667

Answer:

6,666 i think

Step-by-step explanation:

40:6=6,666

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