f (x) = 2x g(x) = 4x + 5 Find f (x) + 3g(x)

Answers

Answer 1

Answer:

f(x) + 3g(x) = 14x + 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = 2x

g(x) = 4x + 5

Step 2: Find

Substitute in functions:                                                                                  2x + 3(4x + 5)[Distributive Property] Distribute 3:                                                               2x + 12x + 15Combine like terms:                                                                                       14x + 15

Related Questions

what is the domain for y=7^x​

Answers

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values. Use the graph to find the range.

Step-by-step explanation:

Explanation: y=7 is a straight line with zero slope and y-intercept 7 as shown below. Hence its domain (all allowed x-values) is all real numbers, and its range (all allowed y-values) is only 7.

I hope this helped~ <3

-Dream

Answer:

There are no real numbers

HELP ASAP WILL GIVE BRAINLEST TO CORRECT ANSWER

What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for pi



diameter = 3 ft


A. 4.71 ft
B. 9.42 ft
C. 18.84 ft
D. 7.07 ft​

Answers

Circumference = Pi x diameter

Circumference = 3.14 x 3 feet

Circumference = 9.42 feet.

The answer is B. 9.42 feet

Triangle A'B'C' is the image of triangle ABC after a sequence of rigid motions,

Answers

Answer:

The sequence are:

i. reflection about the y-axis

ii. 2 units translation downwards

iii. 1 unit translation to the right

Step-by-step explanation:

Rigid transformation is a process of producing the image of a given figure or shape by either reflection, rotation, dilation or translation method. Thus the orientation and size of the figure changes with respect tot the method applied.

For the given question, some sequence were applied to produce the image of ABC.

The sequence are:

i. reflection about the y-axis

ii. 2 units translation downwards

iii. a unit translation to the right

Nathan launches a water balloon vertically from a platform on his roof. The height of the balloon (in feet) is represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds) after he launches the water balloon. What is the maximum height of the balloon?

Answers

Answer:

45.27feet

Step-by-step explanation:

Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)

Note that the velocity of the balloon at maximum height is zero, hence;

v = dh/dt =0

-32t+28.7 = 0

-32t = -28.7

t = 28.7/32

t = 0.897secs

Get the maximum height

Recall that h=−16t²+28.7t+32.4

h = -16(0.897)²+28.7(0.897)+32.4

h= -12.87+25.74+32.4

h = 45.27feet

Hence the maximum height reached is 45.27feet

Last season, Patrick Mahomes threw for 4,800 yards in 16 games. This season, he had a 15% increase in the number of yards he threw per game.

How many yards did he throw per game after the increase?

Answers

Answer:

345 yards.

Step-by-step explanation:

4800/16 = 300

300 increase 15% =

300 × (1 + 15%) = 300 × (1 + 0.15) = 345

The population of a city has increased by 38% since it was last measured. If the current population is 89,700, what was the previous population.

Answers

Answer:

65000

Step-by-step explanation:

Given data

Let the previous population be x

the increase was by 38%

The expression below describes the current population

38/100*x+ x=89700

0.38x+x= 89700

1.38x= 89700

x= 89700/1.38

x= 65000

Hence the previous population is 65000

How to change a decimal into a fraction? Specific question: change 1.25 to an exact percent?

Answers

Answer:

125%

Step-by-step explanation:

1.25 x 100% = 125%

A centipede weighs 10-3 grams. A centipede is carnivorous and can increase weight daily. If it
increased 103 times its body weight each day, how many grams of food can the centipede eat
each day?

Answers

Answer: it’s one gram

Step-by-step explanation:

I just answered it

A model car is 7.5 inches long made with a scale of 2 inches = 48 inches. How long is the actual car?
a) 15
b) 20
c) 180
d) 360
WILL MARK BRANLIEST!

Answers

Answer:

I'm pretty sure its 180 !!

Round 1.4876 to the nearest TENTHS

Answers

Answer:

You should get 1.5

Step-by-step explanation:

The answer is 1.5 ..........

Help ME PLEASE!!!!!!!!!!!

Answers

If half of the pizza was cut into thirds, and you ate 1 of the 3 slices left, you would have eaten 1/6 of the leftovers.

Try 1/6.

Olivia has at most 90$ to spend on clothes she wants to buy a pair of jeans for 22$ and spend the rest on shirts that cost 8$ each what is the greatest number of shirts she can buy

Answers

Answer:the greatest number of shirts she can buy = 8

Step-by-step explanation:

Amount of money Olivia  has =$90

cost of pair of jeans =$22

such that if she buys the pair of jean, Money left to buy shirts = $90-$22= $68

If 1 Shirt= $8

Number of shirts she can buy with $68 = $68/$8=  8.5= 8 1/2

Therefore the greatest number she can buy = 8 shirts.

If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP

Answers

Answer:

365.76

Step-by-step explanation:

If 2 feet is 60.96, then 1 foot is 30.48.

30.48 times 12 = 365.76

365.76 centimeters is the answer.

Hope this helps!

Plz, mark brainliest!

Answer:

365.76 cm in 12 feet

Step-by-step explanation:

Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)

Now we can cross multiply, which gives us 12*60.96=2*x

Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.

Rachel found 2 quarts on the floor.what decimal represents the 2 quarters

Answers

2 quarters = .50 or 0.50

Please help I need it for today

Answers

Step-by-step explanation:

Disculpe pero de qué grado es usted para ayudarle un poquito más mejor

A person invests 3000 dollars in a bank. The bank pays 6% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 7700 dollars?

Answers

Answer:

16 years approx

Step-by-step explanation:

Given data

P=$3000

r= 6%

A= $7700

t= ??

The compound interest formula is

A= P(1+r)^t

Calculate time, solve for t

t = ln(A/P) / r

substitute

t= ln(7700/3000)/0.06

t= ln(2.566)/0.06

t= 0.942/0.06

t= 15.7

The time is 16 years approx

select all sets of side lengths that could form a triangle ​

Answers

8,8,8 is a triangle for sure

joe sold half of her comic books, then she bought 18 more. She now has 36. With how many did she bigin?

Answers

Answer: Joe began with 36 books.

Step-by-step explanation:

x/2+18=36. 36+18=x. x/2-18=36.

36

x/2+18=36
-18. -18
(2)*(1/2x)=(18)*(2)
x=36

Solve for p.
16p = 160

Answers

Answer

160 divided by 16 = 10

Answer: 16p=160:

P = 10

Step-by-step explanation:

If you times by ten at any time then just add a zero to the end. So just add a zero to 16 to make it 160

In this case your going to solve it like this:

160 / 16 = 10

9. Jude deposited $550 into an account that
earns simple interest, and after 11 years, the
interest in the account was $484. What was
the simple interest rate?

Answers

Answer:

8% interest rate

Step-by-step explanation:

step-by-step explanation: intrest = 484

How do you write 6x (to the 3rd power) -60x (to the 2nd power) +144x in factored form?

Answers

Answer:

6x(x-4)(x-6)

Step-by-step explanation:

I assume your expression is:

6x^3-60x^2+144x.

I'll use that information.

Factor 6x^3−60x^2+144x

6x^3−60x^2+144x

=6x(x−4)(x−6)

imao help me with zearn

Answers

Answer:

4

Step-by-step explanation:

if there are 8 ounces for 2 then there are 4 ounces for 1.

Answer:

with what?

Step-by-step explanation:

In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many leaves are on the tree

Answers

Percentage of yellow leaves on a tree during Autumn = 40%

Percentage of green leaves on a tree during Autumn = 24%

Percentage of half yellow leaves on the tree during Autumn :

[tex] = \tt100 - 40 + 24[/tex]

[tex] = \tt 100 - 64[/tex]

[tex] = \tt 36 \%[/tex]Thus, the percentage of half yellow leaves on the tree during Autumn = 36%

Number of half yellow leaves on the tree = 36%

Let the total number of leaves on the tree be x.

Which means :

[tex] = \tt36 \% \: of \: x = 72[/tex]

[tex] = \tt \frac{36}{100} \times x = 72[/tex]

[tex] = \tt \frac{36 \times x}{100} = 72[/tex]

[tex] = \tt \frac{36x}{100} = 72[/tex]

[tex] = \tt 36x = 72 \times 100[/tex]

[tex] = \tt36x = 7200[/tex]

[tex] = \tt x = \frac{7200}{36} [/tex]

[tex] \color{plum} = \tt \: x = 200[/tex]

Thus, total number of leaves on the tree = 200

Number of yellow leaves on the tree :

[tex] = \tt40 \% \: \: of \: \: 200[/tex]

[tex] = \tt \frac{40}{100} \times 200[/tex]

[tex] = \tt \frac{40 \times 200}{100} [/tex]

[tex] = \tt \frac{8000}{100} [/tex]

[tex] \color{plum} \tt = 80 \: yellow \: \: leaves[/tex]

Thus, total number of yellow leaves on the tree = 80

Number of green trees on the tree :

[tex] = \tt24 \% \: \: of \: \: 200[/tex]

[tex] = \tt \frac{24}{100} \times 200 [/tex]

[tex] = \tt \frac{24 \times 200}{100} [/tex]

[tex] = \tt \frac{4800}{100} [/tex]

[tex] \color{plum} = \tt 48 \: green \: \: leaves[/tex]

Thus, the total number of green leaves on the tree = 48

Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.

▪︎Therefore, the total number of leaves on the tree = 200

The number of leaves is on the tree is 200.

Given that,

There is 40% of the leaves that should be yellow.24% of them should be green.And, the remaining should be 72 leaves that represent half yellow.

Now as per the above explanation:

The percentage of half yellow trees should be

= 100 - 40 + 24

= 100 - 64

= 36

Here we assume the number of leaves on the tree be x

So,

36% of x = 72

x = 200

Therefore we can conclude that the number of leaves is on the tree is 200.

Learn more about the tree here: brainly.com/question/2656951

-5 = x - 5
Solve the following equation

Answers

Answer:

0

Step-by-step explanation:

Q A clothing company uses 280 pounds to make 70 shirts at this rate how many buttons with the clothing company used to make 460 shirts

Answers

Answer:

1840

Step-by-step explanation:

The number of buttons used in making 1 shirt = 280/70 = 4 buttons

the number of buttons used in making 460 shirts = 460 x 4 = 1840 buttons

Solve the linear equation.
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45

Answers

A. The end equation is -10j=4.5 so you would need a negative answer to make the negative ten a positive and matching 4.5

Answer:

Solve the linear equation [tex]2.25 - 11 - 7.75 + 1.5j= 0.5j - 1[/tex]

[tex]j[/tex] = –0.45

[tex]j[/tex]  = –0.25

[tex]j[/tex] = 0.25

[tex]j[/tex] = 0.45

Simplify [tex]2.25 - 11j - 7.75 + 1.5j[/tex] .

Subtract [tex]7.75[/tex] from [tex]2.25[/tex] .

[tex]- 11j - 5.5 + 1.5j = 0.5j -1[/tex]

Add [tex]-11j[/tex] and [tex]1.5j[/tex] .

[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]

Move all terms containing [tex]j[/tex] to the left side of the equation.

Subtract [tex]0.5j[/tex] from both sides of the equation.

[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]

Subtract [tex]0.5j[/tex] from [tex]- 9.5j[/tex].

[tex]- 10j - 5.5 = - 1[/tex]

Move all terms not containing [tex]j[/tex] to the right side of the equation.

Add [tex]5.5[/tex] to both sides of the equation.

[tex]-10j = -1 +5.5[/tex]

Add [tex]-1[/tex] and [tex]5.5[/tex] .

[tex]10j=4.5[/tex]

Divide each term in [tex]-10[/tex][tex]j[/tex] [tex]=4.5[/tex] by [tex]-10[/tex] and simplify.

Divide each term in [tex]-10j = 4.5[/tex] by [tex]-10[/tex].

[tex]\frac{-10j}{-10} = \frac{4.5}{-10}[/tex]

Simplify the left side.

Cancel the common factor of [tex]-10[/tex].

[tex]j= \frac{4.5}{-10}[/tex]

Cancel the common factor.

[tex]\frac{-10j }{-10} = \frac{4.5}{-10}[/tex]

Divide [tex]j[/tex] by [tex]1[/tex]

[tex]j=\frac{4.5}{-10}[/tex]

Simplify the right side.

Divide [tex]4.5[/tex] by [tex]-10[/tex].

[tex]j=-4.5[/tex]

The Final Answer is

[tex]j=-4.5[/tex]

Are 12/7 and 36/21 proportional

Answers

Answer:

Step-by-step explanation:

Cross multiply:

12 * 21 = 7 * 36

Simplifying

12 * 21 = 7 * 36

Multiply 12 * 21

252 = 7 * 36

Multiply 7 * 36

252 = 252

Add '-252' to each side of the equation.

252 + -252 = 252 + -252

Combine like terms: 252 + -252 = 0

0 = 252 + -252

Combine like terms: 252 + -252 = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

(hope this helps can i plz have brainlist :D hehe)

From the calculations below, 12/7 and 36/21 are proportional, therefore, the statement is true.

The first fraction given is 12/7.

The second fraction given is 36/21.

In order to check, we can multiply both the numerator and the denominator by 3. This will be;

= (12 × 3) / (7 × 3)

= 36 / 21

Therefore, it has been solved that 12/7 and 36/21 are proportional.

Read related link on:

https://brainly.com/question/18759132

What is the result when 3x3 + 20x2 – 11x – 28 is divided by x + 7?

Answers

Answer:

Step-by-step explanation:

Let's perform this division using synthetic division.  The coefficients of the given expression are {3, 20, -11, -28}, and the appropriate divisor is -7 (that comes from x + 7):

-7    /     3       20     -11       -28

                     -21        7       28

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

             3         -1      -4         0

Since the remainder is 0, -7 is a root of the given expression, and the coefficients of the quotient are {3, -1, -4}.  The quotient is therefore

3x^2 - x - 4

Which of the following represents the solution set to 4x^2+8x-1=0?

Answers

Answer:

4

Step-by-step explanation:

what is the answer to (13x+30)-(20x+6)

Answers

Answer:

-7x + 24

Explanation:

(13x + 30) - (20x + 6)

13x + 30 - 20x - 6

-7x + 30 - 6

-7x + 24
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