Write the equation of the line that is perpendicular to y = -2x + 4 and goes through the point (6, 5). Show all work for credit.

Answer:

(1, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 3 → (1)

y = 4x → (2)

Substitute y = 4x into (1)

4x = x + 3 ( subtract x from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 4x = 4 × 1 = 4

Solution is (1, 4 )

Answer:

y=45x+25

y = total cost and x = number of months.

Answer:

2k⋅(3k−7)⋅(k+4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((6 • (k3)) +  (2•5k2)) -  56k

STEP

2

:

Equation at the end of step

2

:

 ((2•3k3) +  (2•5k2)) -  56k

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6k3 + 10k2 - 56k  =   2k • (3k2 + 5k - 28)

Trying to factor by splitting the middle term

4.2     Factoring  3k2 + 5k - 28

The first term is,  3k2  its coefficient is  3 .

The middle term is,  +5k  its coefficient is  5 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   3 • -28 = -84

Step-2 : Find two factors of  -84  whose sum equals the coefficient of the middle term, which is   5 .

     -84    +    1    =    -83

     -42    +    2    =    -40

     -28    +    3    =    -25

     -21    +    4    =    -17

     -14    +    6    =    -8

     -12    +    7    =    -5

     -7    +    12    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  12

                    3k2 - 7k + 12k - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (3k-7)

             Add up the last 2 terms, pulling out common factors :

                   4 • (3k-7)

Step-5 : Add up the four terms of step 4 :

                   (k+4)  •  (3k-7)

            Which is the desired factorization

Final result :

 2k • (3k - 7) • (k + 4)

Answer:

I believe it d I'm sorry if it wrong but if I'm right mark brainlyest please

Answer:

ab(b−1)

Step-by-step explanation:

Factor ab out of  ab ^2 − ab

Given:

Y-intercept of exponential function is 8.

It contains the point (3,64).

To find:

The exponential function that describes the graph.

Solution:

The general form of an exponential function is

[tex]y=ab^x[/tex]      ...(i)

where, a is initial value or y-intercept and b is growth factor.

Since, y-intercept is 8, therefore, a=8.

Put a=8 in (i).

[tex]y=8b^x[/tex]         ...(ii)

It contains the point (3,64). Put x=3 and y=64.

[tex]64=8b^3[/tex]

Divide both sides by 8.

[tex]\dfrac{64}{8}=b^3[/tex]

[tex]8=b^3[/tex]

[tex]2^3=b^3[/tex]

On comparing both sides, we get

[tex]b=2[/tex]

Put b=2 in (ii).

[tex]y=8(2)^x[/tex]

The functions form of this equation is

[tex]f(x)=8(2)^x[/tex]

Therefore, the required function is [tex]f(x)=8(2)^x[/tex].

Answer: Do you have a picture

Step-by-step explanation:

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set.

Answer:

Basically it has to pass through 2 (I think) and the y-intercept is -3

Step-by-step explanation:

Answer:

go to the 2 (on the x axis) then go down 3 then click it to put the dot but sorry if its wrong

Step-by-step explanation:

Answer:

4 and 7

Step-by-step explanation:

Coefficients are just bassically the numbers behind the variable, hope this helps!

Answer:

Let x be the daily fee

0.5(48) +x = 64  is the equation,

Multiply:

24 + x = 64

Subtract:

x=40

The daily fee is $40

Answer:

-26

Step-by-step explanation:

I hope this helps!

Answer:

?

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

5 x + 3 = 4 x

5x+3-3=4x-3

5x=4x-3

subtract four from both sides=x=-3

x=-3 is your final answer!

Answer:

4

Step-by-step explanation:

Answer:

It's either 4 or fish

LM(face)OOO

Answer:

your correct good job

Answer:

An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.

Step-by-step explanation:

Your answer would be 0.6, 3/5, and 6% are the 3 same portion. But, when they're all changed to a decimal they would equal to 0.6.

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The exterior angle is equal to the sum of the interior angles in a given triangle.

The measure of the other remote interior angle is 60°.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Let the measure of the other interior angle = M

The exterior angle is equal to the sum of the interior angles in a given triangle.

An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°.

This means,

M + 20 = 80

Solve for M.

M + 20 = 80

Subtract 20 on both sides.

M = 80 - 20

M = 60

Thus,

The measure of the other remote interior angle is 60°.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

y= -1/2x+5

Step-by-step explanation:

u just have to use the y=mx+b form and youll be good

Answer:

0.084

Step-by-step explanation:

0.42 * 0.2 = 0.084

Answer:

Credit card B is a better deal

Step-by-step explanation:

in order to compare both credit cards, we must either convert the APR into a monthly rate or the monthly rate to APR.

convert credit card A's APR to monthly rate:

= 22.45% / 12 ≈ 1.87%, which is higher than 1.25%, so credit card B is better

OR

convert credit card B's monthly rate to APR:

= 1.25% x 12 = 15%, which is lower than 22.45%, so credit card B is better

Answer:

The answer to the first question is (0.2y^7)^3

Step-by-step explanation:

The expression (0.2 × y⁷)³ is a cube of a monomial in standard form and the expression (16/3)x¹¹y¹⁸ is a monomial in standard form.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression below which is given in the question

0.008y²¹

We have to write the given expression as a cube of a monomial in standard form

0.008y²¹

0.2 × 0.2 × 0.2 × y⁷× y⁷× y⁷

(0.2 × y⁷)³

The above expression is a cube of a monomial in standard form

(−3xy²)³· (− 2/3x²y³)⁴

We have to write the given expression as a monomial in standard form

(−3xy²)³· (− 2/3x²y³)⁴

(−3x)³(y²)³· (− 2/3x²)⁴(y³)⁴

x³y⁶· 16/3x⁸y¹²

(16/3)x³⁺⁸y⁶⁺¹²

(16/3)x¹¹y¹⁸

The above expression is a monomial in standard form.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

Step-by-step explanation:

sin theta = opp / hyp

sin theta × hyp = opp

sin60 × 30 = opp

.866 × 30 = opp

25.98° = opp

*Theta is the 0 with a line through it

Answer:

c

Step-by-step explanation:

I think its c

I'm not sure

Answer:

fog=f[g(x)]

=f[-x]

=-2x+4

Answer:

length 28, width 22

Step-by-step explanation:

28 - 22 = 6, 28 x 22 = 616

Answer:

y=x+4

Step-by-step explanation:

HTH :)

Answer:

y = x +4

Step-by-step explanation:

You know the y intecept because its on the y axis, and slop is rise over run

Answer:

12x^2 - 7x - 10

Simplify, or in other words...multiply them

Answer:

y=3/4x+3

Step-by-step explanation: