If f(x) = 4x + 1 and g(x) = 2x – 3, then (g(f(x)) =

Answer:

[tex]b[/tex] decreases by [tex]1[/tex]

Step-by-step explanation:

If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].

Example:

Suppose [tex]a=7[/tex]  and [tex]b=3[/tex].

[tex]a+b = 10[/tex]

[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)

Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):

[tex]b = 10-8[/tex]

[tex]=2[/tex]

From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].

Hope this helps :)

Answer:

61

Step-by-step explanation:

(x2-x1)2 + (y2-y1)2

(5-0)2 + (-3-3)2

25+36= 61

square root of 61

Answer:

y=-12, 0, 0,0,4

Step-by-step explanation:

They are all in order all you have to do is plug in the x value were the x is so like this

4(-2)-4 do it like that with every number from the x value then they are right

Answer: ok so uhmmmm whats you math class about and what its about just study on that topic and i hope you pass if you have any tests

Answer:

36

Step-by-step explanation:

Answer: trapzoid 18 _ 12 _ 8 _10 =40

cube 17/5

Step-by-step explanation:

Answer:

i know you figure it out the answer

Step-by-step explanation:

Answer:

The y-intercept would be -3

Step-by-step explanation:

already learn that

Answer:

3 and 8

Step-by-step explanation:

3 and 8 because 8 can only divide by 2 or four and get 4 and 2, and 3 can not get to any of these number.

Answer:

40%

Step-by-step explanation:

8/20=0.4

0.4=40%

Answer:

Tina's house located at point (5,4) is in Quadrant |.

Step-by-step explanation:

If both numbers in the parenthesis are positive, it's put in Quadrant |.

(You can also look up a graph quadrant divider and it will show you)

Answer:

p(4)+5 >-32

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Step-by-step explanation:

that's ur answer

I hope you understand

Answer:

Step-by-step explanation:

Given that :

Scale used = 1:90

Actual tree = 315 inches

Let x = size of model tree

Answer:

227.70 divided by 25.30

Step-by-step explanation:

if she spent 227.70 when 25.30 was how much the fabric costed, you will need to divide to find out how much fabric she got.

Answer:

41

Step-by-step explanation:

Step 1:

12x - 7          Equation

Step 2:

12 ( 4 ) - 7       Input x value

Step 3:

48 - 7       Multiply

Answer:

41        Subtract

Hope This Helps :)

Answer:

Step-by-step explanation:

steps are below

step 1

12x-7  equation

12(4)-7

step 2

(12)(4)-7  Evaluate the equation

step 3

48-7

41  answer

Answer:

the answer is table B

Step-by-step explanation:

Answer:

Table B shows a proportional relationship

Explanation:

In a proportional relationship two quantities vary directly with each other.

So,

y ∝ x

y = kx

Where, k is the constant of variation.

The ordered pairs of table A are (-2,2), (-1,3), (0,0) and (1,5).

From these ordered pairs we can conclude that the value of y-coordinate is not changing according to the x-coordinate because the values of x increased by 1 for each ordered pair but the value of y is not increasing in the same proportion..

The ordered pairs of table B are (-1,-3), (0,0), (1,3) and (2,6). The value of y increasing at a constant rate 3 and the value of y-coordinate is 3 times of x-coordinate.

Choose any two ordered pairs of table B. Let the two points are (0,0) and (1,3).

The proportional relationship is defined as

y = 3x

Therefore, 3 is the constant of variation and rate of change.

So, Table B shows a proportional relationship.

Answer:

A= 50

Step-by-step explanation:

Very interesting to see!

x= -1

and the both angles are equal!

Answer:

Equation of the parabola: 12y−72=(x−4)212y−72=(x−4)2 or y=x212−2x3+223y=x212−2x3+223.

Vertex form: y=(x−4)212+6y=(x−4)212+6.

No intercept form.

Vertex: (4,6)(4,6).

Focus: (4,9)(4,9).

Eccentricity: 11.

Directrix: y=3y=3.

Latus rectum: y=9y=9.

The length of the latus rectum: 1212.

Axis of symmetry: 

Step-by-step explanation:

from parabola calculator-eMathHelp

I hope it helps.

Answer:

rate of 6

Step-by-step explanation:

Answer:

(3x-6)+x=250

x=64

There are 64 Takis Scorpion BBQ bags.

Answer:2=42 3=82 4=122

Step-by-step explanation:

If there is already 2, all you have to do is take away 2 from 162 and then divide by the empty spaces (in this case 4) 160/4 = 40.

Answer:

0

Step-by-step explanation:

2a+1=1

2a=0

---   ---

2     2

a=0

Answer:

A=0

Step-by-step explanation:

2a+1=1

2a=1-1 (i moved +1 to the other side ...coz our goal is to isolate "a",  and in order to do this, look for numbers that are freer)(moving the +1 to the other side made it -1)(you just need to remember that when we move any number to the other side it will claim its opposite operation so +1 will turn to -1)

2a=0  (1-1=0)

a=0/2 (now, 2 is being multiplied with a, and to isolate "a" we move 2 to the other side, and this will make to divide ((because the opposite of multiplication is division)) )

a=0 (the ans!)

Answer:

2,472 / 2 = 1,236

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for doing clerical be y

we are told that Carson would like to earn $96 weekly

She babysits for $6 per hour

and earned $8 per hour  doing clerical work

6x+8y=96---------------1

Carson cannot work more than a total of 15 hours per week  

5x+y≤15-------------2

The system of equation for the situation is

6x+8y=96

5 x+y≤15  

y=15-5 x

put y=15-5 x in eqn 1

6x+8(15-5 x)=96

6x+120-40x=96

collect like terms

6x-40x=96-120

-34x=-24

x=24/34

x=0.7

Approximately 1 hour babysitting

put x= 0.7 in 5x+y≤15

5(0.7)+y≤15

3.52+y≤15

y≤15-3.52

y=11.4

Approximately 11 hours doing clerical work

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for doing clerical be y

we are told that Carson would like to earn $96 weekly

She babysits for $6 per hour

and earned $8 per hour doing clerical work

6x+8y=96---------------1

Carson cannot work more than a total of 15 hours per week

5x+y≤15-------------2

The system of equation for the situation is

6x+8y=96

5 x+y≤15

y=15-5 x

put y=15-5 x in eqn 1

6x+8(15-5 x)=96

6x+120-40x=96

collect like terms

6x-40x=96-120

-34x=-24

x=24/34

x=0.7

Approximately 1 hour babysitting

put x= 0.7 in 5x+y≤15

5(0.7)+y≤15

3.52+y≤15

y≤15-3.52

y=11.4

Approximately 11 hours doing clerical work

Answer:

he saved $25

Step-by-step explanation:

The answer is 25 because 15 multiplied by 5 is 75 and 5 multiplied by 5 is 25.