If f(x)=3x-1 and g(x)=x+2, find (f+g)(x)

Answer:

Step-by-step explanation:

let sale be x

and his salary be y

y=300+0.4x----------1 the old equation

y=450+0.2x----------2 the new equation

for his salary to be the same

equation 1 and 2 must be equal hence

300+0.4x=450+0.2x

solving for x we have

300-450+0.4x-0.2x=0

-150+0.2x=0

0.2x=150

x=150/0.2

x=$750

Answer:

Step-by-step explanation:

To find the mass of an object given it's acceleration and the force acting on it we use the formula

[tex]mass = \frac{force}{acceleration} \\ [/tex]

From the question

force = 45 N

acceleration = 39 m/s²

We have

[tex]force = \frac{45}{39} = \frac{15}{13} \\ = 1.153846...[/tex]

We have the final answer as

Hope this helps you

Answer:

By plotting points A', B' and C' we can get the dilated image A'B'C'.

Step-by-step explanation:

Let the point P is origin (0, 0), segment AB lies on the x-axis and segment PC on the y-axis,

Coordinates of A, B and C will be (1, 0), (2, 0) and (0, 2).

When triangle ABC is dilated by a scale factor 4 about the origin,

Rule for dilation;

(x, y) → (4x, 4y)

New coordinates of the points A, B and C will be,

A(1, 0) → A'(4, 0)

B(-2, 0) → B'(-8, 0)

C(0, 2) → C'(0, 8)

Answer:

Correct

Step-by-step explanation:

New coordinates of the points A, B and C will be,

A(1, 0) → A'(4, 0)

B(-2, 0) → B'(-8, 0)

C(0, 2) → C'(0, 8)

-53

The opposite of 53 is -53

Answer:

Vehicle A with 25 mpg

Step-by-step explanation:

You get the slope.

Answer:

D. Is the correct answer.

Step-by-step explanation:

I had this one too.

Answer:

Y = 0

Step-by-step explanation:

Y = -2 + 2

Negative 2 plus 2 equals zero, there is no more numbers so Y = 0.

Answer:

23/72 is the answer in simplest form

Step-by-step explanation:

Answer:

x=1/3

Step-by-step explanation:

5-3x=4

or,5-4=3x

or,1=3x

x=1/3

Answer:

20

Step-by-step explanation: you have to find the amount of change then determine the percent of increase and round it to the nearest percent

       32 -56=24     then round to the nearest number you get 20

Answer:

{(5-8)+5}+10/2-20/5= 3

Step-by-step explanation:

{(5-8)+5}+10/2-20/5

PEMDAS

Parentheses first

5-8 = -3

( -3 + 5 )  + 10/2 - 20/5

-3 + 5 = 2

2 + 10/2 - 20/5

10/2 = 5

2 + 5 - 20/5

2 + 5 = 7

20/5 = 4

7 - 4 = 3

Answer:

8

Step-by-step explanation:

The equivalent expression of 25 - 64 are "a), b) and c)"

The given expression is:

25 - 64

To find, the equivalent expressions are:

a) 25 + 40x - 40x - 64

=  25 - 64, is the equivalent expression.

b) 25 + 13x - 13x - 64

=  25 - 64, is the equivalent expression.

c) (5 + 8)(5 - 8)

Using the algebraic identity,

(a + b)(a - b) =

=

=  25 - 64, is the equivalent expression.

d) ( + 13)( - 13)

Using the algebraic identity,

(a + b)(a - b) =

=

=   - 169, is not a equivalent expression.

e)

Using the algebraic identity,

,  is not a equivalent expression.

∴ The equivalent expression of 25 - 64 are "a), b) and c)".

Answer: option A, B, C are equivalent to [tex]25x^4-64[/tex].

We check each option by simplifying:

A) [tex]25x^4 + 40x - 40x - 64 = 25x^4-64[/tex].

B) [tex]25x^4 + 13x - 13x - 64 = 25x^4-64[/tex]

C) [tex](5x^2 + 8)(5x^2 - 8)=(5x^2)^2-8^2=25x^4-64[/tex]

D) [tex](x^2 + 13)(x^2 - 13)=(x^2)^2-13^2=x^4-169[/tex]

E) [tex](5x^2 - 8)^2=(5x^2)^2-2(5x^2)(8)+8^2=25x^4-80x^2+64[/tex].

So option A, B, C are equivalent to [tex]25x^4-64[/tex].

Learn more: https://brainly.com/question/1214333

Answer:

( - infinity, 3.75)     x < 3.75

Step-by-step explanation:

x - 4 < 11 - 3x

x < 15 -3x

4x < 15

x < 3.75

Answer:

Step-by-step explanation:

his salary  S is raised by 300 dollars

Algebraic expression

s+120

pls try to answer my question

i have to do it as soon as possible

Answer:

∠DBG= 109°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

DBG=109

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

-5y = 9 + 6

y = 15 / -5

y = -3

Now;

y - 10 = -3 - 10 = - 13

Answer:

Acute triangle

Step-by-step explanation:

There are three sides and they are all not equal to each other

Answer:

105

Step-by-step explanation:

since its  a straight line it would add up to 180 degrees so 52 + 23 + 75 and you need 180 so 180-75 which gives 105 which is the missing angle

Answer:

105 degrees

Step-by-step explanation:

First add the angles that you already know, 52 + 23 = 75, then since we know that the whole thing is a straight angle (180 degrees) 180-75 = 105 degrees.

Hope this helped!

Answer:

64/35

In mixed number form: 1 29/35

Step-by-step explanation:

Thats my fasted record for solving a division problem hehe :) You're welcome!

Answer:

−(6x−12)−(−20)−7x

Distribute:

=−6x+12+20+−7x

Combine Like Terms:

=−6x+12+20+−7x

=(−6x+−7x)+(12+20)

=−13x+32

Answer:

=−13x+32

Answer:

The answer is c=108

Answer:

d) 12x + 24

Step-by-step explanation:

Answer:

1.65

Step-by-step explanation:

0.99/3 = .33

.33 x 5 = $1.65

Answer:

Five bananas will cost $1.65

Answer:

5/8

Step-by-step explanation:

I believe this should be fraction addition (?)

3/8 + 1/4

8, 4: 8 = 3/8 + 2/8

= 3 + 2/8 = 5/8

You have a total of (5/8)th part of a complete pizza.

Given is that you have 3/8 of a pizza in one box and 1/4 in another box.

Assume that the total pizza you have is denoted by [x].

[x] = (3/8 + 1/4) of a pizza

[x] = (3 + 2)/8 of a pizza

[x] = 5/8 of a pizza

Therefore, you have a total of (5/8)th part of a complete pizza.

To solve more questions on functions, expressions and polynomials, visit the link below -

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