Two functions are shown below. f(x) = 6x + 3 g(x) = 3x - 2 What is the product of f(3) and g(- 4) B. 210 -210 294

Answer:

y + 4 = 6(x - 3)

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: m = 6, (3, -4)

(x1, y1) = (3, -4)

Input the given values into the equation for point-slope form:

y - (-4) = 6(x - 3)

y + 4 = 6(x - 3)

The equation written in point-slope form is: y + 4 = 6(x - 3)

I hope this helps :)

Answer:

A

Step-by-step explanation:

I think

Answer: D and B

Step-by-step explanation:

The range (answered by D) is only the multiples of 15 between 0 and 60 as it is impossible to pay an amount different than the correct inclinations of 1/15 per candy. For example, it is impossible to pay 12.345421 dollars for a candy.

A similar solution applies for the domain. Only integers(whole numbers) are valid as you cannot buy 1.2862 of a candy.

Hope this helps.

Answer:

[tex]m=\frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Choose any 2 points from the chart.

Point (-6, 11)

Point (-2, 1)

Step 2: Find slope m

Answer:

yes as x increases by 10, y increased by 2

Answer:

If you don't water your plants and give them sun light they will slowly start to decay.

The growth of how my sister grew this year is incredible she used to be super short.

Step-by-step explanation:

Answer:

vvvvvvvvvvvvvvvvvvvvvv is equal to 65654

Step-by-step explanation:

Answer:

Both Yes

Step-by-step explanation:

both have a 90 degree angle

Answer:

Step-by-step explanation:

The coefficient is the number part.

Answer:

9

Step-by-step explanation:

Correct me if i'm wrong

Answer:

C

Step-by-step explanation:

Answer:

D.)  y=5x+14

Step-by-step explanation:

point slope form: y-y1=m(x-x1)

y1=4, m=5, x1=-2

y-4=5(x+2)

distribute 5

y-4=5x+10

add 4 to both sides

y=5x+14

Answer:

ANSWER

g=f

−1

f(g(x))=x

Differentiate w.r.t.x

f

′

(g(x))⋅g

′

(x)=1

∴

1+(g(x))

4

1

⋅g

′

(x)=1

g

′

(x)=1+[g(x)]

4

Answer: True

Step-by-step explanation:

Answer:

π/10

Step-by-step explanation:

Irrational Numbers

The irrational numbers are identified because, unlike rational numbers, they cannot be expressed as fractions, i.e., as the result of a division between two integers.

If a number is expressed with a limited number of decimals, it's always possible to write it as a rational.

For example, number 1.2319 can be written as 12319/10000.

Even if the number has an unlimited decimal expression, it could be expressed as rational if the decimal part is periodic. Number 2.33333... is rational because it's equivalent to the fraction 7/3.

We need to find an irrational number between 0.3101 and 0.3333.

Any number within the range with unlimited non-periodic decimals will do:

0.3189567363.... is a good example.

We'll choose the number

π/10 since π is a known irrational number and π/10=0.3141592... lies in the given interval.

Answer:

see explanation

Step-by-step explanation:

Substitute the value of x into y = x² and y = [tex]2^{x}[/tex]

x = 1

y = 1² = 1 and y = [tex]2^{1}[/tex] = 2

x = 2

y = 2² = 4 and y = 2² = 4

Thus

x      y = x²      y = [tex]2^{x}[/tex]

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

0        0            1

1          1             2

2         4            4

Answer:

8x -16y = 24

Step-by-step explanation:

8x - 16y= -14

A parallel line (i.e. same slope) will be: 8x - 16y= c

We have to find the value of "c".

If it passes through (x, y) = (3, 0) ⇒ 24 - 0 =  c,

so equation is 8x -16y = 24

Answer:

5 and 5

Step-by-step explanation:

5 divided by 5 is 1

5 plus 5 is 10

Answer:

y=1.50x+3.25

Step-by-step explanation:

Answer:

[tex]the \: number \: is \: 96[/tex]

Explanation:

[tex]let \: the \: number \: be \: = \: x [/tex]

[tex] \frac{x}{2} + x = 144[/tex]

[tex]2( \frac{x}{2} ) + 2(x) = 2(144)[/tex]

[tex]x + 2x = 288[/tex]

[tex]3x = 288[/tex]

[tex] \frac{3x}{3} = \frac{288}{3} [/tex]

[tex]x = 96[/tex]

So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)

Answer:

2.1/3

3.7/11

Step-by-step explanation:

Answer:

(2)  1/3

(3)  7/11

Answer:

C

Step-by-step explanation:

4y+3 <= y+6

First, we subtract 3 from each side to get 4y <= y + 3.

Next, we subtract y from each side to get 3y <= 3.

Next, we divide each side by 3 to get y <= 1.

The graph is C.

Answer:

=-1

Step-by-step explanation:

−

1

0

+

=

−

1

2

{\color{#c92786}{x}}-10+{\color{#c92786}{x}}=-12

x−10+x=−12

2

−

1

0

=

−

1

2

Answer:

2a2 + 4a + 7

Step-by-step explanation:

As, - (2a3 - 3a2 + 4a + 6) + (2a3 + 5a2 + 7)

= 2a2 + 4a + 13

Answer:

r^11

Step-by-step explanation:

Answer:

The cost is y = $185

Step-by-step explanation:

Let us have points spelt out here

(2500,125) and (3200,146)

The general form of a straight line equation is;

y = mx + b

where m is slope

So to calculate the slope in this case, we have

m = (146-125)/(3200-2500)

m = 21/700 = 0.03

So we have the equation as

y = 0.03x + b

To get b, we use any of the two points

Let us use (2500,125)

So we have

125 = 0.03(2500) + b

125 = 75 + b

b = 125-75

b = 50

So the complete equation of the line is;

y = 0.03x + 50

So here, we want to find the cost of a house with 4500 square feet

simply substitute 4,500 for x

y = 0.03(4500) + 50

y = 135 + 50

y = $185

Answer:

The total number of cubes in the rectangular prism are 1,120 cubes

Step-by-step explanation:

The given parameters are;

The dimensions of the rectangular prism block of wood = (n + 5), (n + 8), and (n + 14)

The volume of the block of wood = (n + 5)×(n + 8)×(n + 14) = n³ + 27·n² + 222·n + 560

The quantity of the 1  cm cubes that have no paint = 1/2 of the total quantity = 1/2 the volume of the original cube

The cubes that have paint on them are the surface cubes, we have;

One layer of cube is removed from each of the eight sides, therefore, we have the dimensions of the cube rectangular prism that have no paint on them given as (n + 5 - 2), (n + 8 - 2), and (n + 14 - 2), which gives the dimensions as (n + 3), (n + 6), and (n + 12);

Therefore, we have

2 × (n + 3)×(n + 6)×(n + 12) = (n + 5)×(n + 8)×(n + 14)

2 × (n + 3)×(n + 6)×(n + 12) - (n + 5)×(n + 8)×(n + 14) = 0  

Which gives;

n³ + 15·n² + 30·n - 128 = 0

n = 2

n = -17/2 - √(33)/2 = -5.6277

n = √(33)/2 - 17/2 = -11.3722

Therefore, given that the smallest dimension of the painted prism = (n + 5), the possible value for n = 2

The volume of the rectangular prism = (n + 5) × (n + 8) × (n + 14) = (2 + 5) × (2 + 8) × (2 + 14) = 1120 cm³

Given that the cuts are 1 cm³ each, the total number of cubes in 1,120 cm³ = 1,120 cubes.

Answer:

27 x 52  = ( 20 + 7 ) x ( 50 + 2 )  = 1404

Step-by-step explanation:

27 x 52

( 20 + 7 ) x ( 50 + 2 )

(20 x 50) + (20 x 2) + (7 x 50) + (7 x 2)

= 1000 + 40 + 350 + 14

= 1404