The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function c (x) = 90 + 12x represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?

[tex]61 + (6x - 31) = 90[/tex]

Subtract both sides 61

[tex]61 - 61 + 6x - 31 = 90 - 61[/tex]

[tex]6x - 31 = 29[/tex]

Add both sides 31

[tex]6x - 31 + 31 = 29 + 31[/tex]

[tex]6x = 60[/tex]

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{60}{6} \\ [/tex]

[tex]x = 10[/tex]

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Answer:

x = 10

Step-by-step explanation:

It's a 90˚ angle so subtract 61 from 90, which is 29.

Then add 31 to that 29, which would come out to 60.

60 divided by 6 to isolate the variable would come to 10.

Check your answer by multiplying 10 by 6, subtract the 31, and lastly add the 61 to get back to your 90.

The value of x and y are 5/6 and 8/5 respectively

Given the systems of equations

Solving the equations using the elimination method

12x + 15y = 34

-18x + 15y = 9

Subtract both expressions:

12x-(18x) = 34 - 9

12x+18x = 25

30x = 25

x = 5/6

Substitute x = 5/6 into equation 1 to have:

12x + 15y = 34

12(5/6) + 15y = 34

10 + 15y = 34

15y = 24

y = 8/5

Hence the value of x and y are 5/6 and 8/5 respectively

Learn more on simultaneous equations here: https://brainly.com/question/185757

Answer:

x=17

Step-by-step explanation:

angle O is equal to angle M.

This means (5x-10)=75

add 10 degrees to both sides

5x=85

divide both sides by 5

x=17

Answer:

x = 0 , x = 3

Step-by-step explanation:

Equate the 2 expressions and solve for x

3x² - 2x + 1 = 7x + 1 ( subtract 7x + 1 from both sides )

3x² - 9x = 0 ← factor out 3x from each term

3x(x - 3) = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 3 = 0 ⇒ x = 3

Answer:

do it your self.

Step-by-step explanation:

Answer:

23 chips I believe

Step-by-step explanation:

10 add 13

Answer: yes these lines are

Answer:

yes

Step-by-step explanation:

Perpendicular lines intersect eachother

Answer:

0.024

Step-by-step explanation:

75, 15, 3, ...

Now, let's take a look at thus pattern.

You'll notice how the numbers decrease.

Divide 75 by 5.

We get 15

Divide 15 by 5.

We get 3.

Then we have the pattern now.

3 ÷ 5 = 0.6 (4th term)

0.6 ÷ 5 = 0.12 (5th term)

0 12 ÷ 5 = 0.024 (6th term)

I hope it helps.

Step-by-step explanation:

sorry ..i dont know the answer for this question

Answer:

3

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} = 3[/tex]

X = 5 – 2 = 3

Y = 16 – 7 = 9

[tex]0 = arctan(\frac{y}{x}) = 71.565051177078°[/tex]

[tex]Distance (d) = \sqrt{X2} + Y2 = \sqrt{90} = 9.4868329805051[/tex]

Equation of the line:

y = 3x + 1

When x=0, y = 1

When y=0, x = -0.33333333333333

Answer:

15yx^2-34y-16

Step-by-step explanation:

Answer:

4 1/2 tons of recycled paper

Step-by-step explanation:

13.5/3 = 4.5 or 4 1/2

Answer:

x<4

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer:

the answer is = 7/3

so the first one

Answer:

the answer is 300

Step-by-step explanation:

30x10=300

If [tex] \: R = 20[/tex]

Then, [tex] \: 10r = 10 \times R \\ = 10 \times 30 \\ = 300[/tex]

Answer:

22.4

Step-by-step explanation:

0.2*28=5.6

28-5.6=

Answer:

Step-by-step explanation:

if you need help let me know

Answer:

Thanks I guess…

Step-by-step explanation:

Step-by-step explanation:

To find the slope, calculate rise and run. The formula is as follows...

[tex]\frac{Rise}{Run} =\frac{y2-y1}{x2-x1}[/tex]

This might not be right

 one is y= 2x-3 and number two is y=-x-1

1) first you convert 4x-2y=3 into slope intercept form

y= 2x+ 3/2

then you change 3/2 to b

y=2x + b

then you plug in the point 2,1

(1)=2(2) + b

1=4+b

-3=b

after that you change the b in y=2x+b to -3

y=2x-3

2) after you convert it into slope intercept form (y=1x+b)

you have to change the x to a negative x because the line is perpendicular

y= -1x + b

then you plug in the point -3,2

2= -1(-3) + b

2= 3 + b

-1 = b

Answer:

Step-by-step explanation:BASE+3X=22.85

BASE+10X=40

BASE=40-10X NOW SUBSTITUTE (40-10X)FOR BASE IN THE FIRST EQUATION

40-10X+3X=22.85

-7X=22.85-40

-7X=-17.15

X=-17.15/-7

X=$2.45 IS THE PRICE FOR EACH POUND.

BASE+10*2.45=40

BASE+24.50=40

BASE=40-24.50

BASE=15.50 IS THE BASE PRICE FOR THE DELIVERY.

PROOF

15.50+3*2.45=22.85

15.50+7.35=22.85

22.85=22.85

Answer:

6 / 5 ( or ) 1.2

Step-by-step explanation:

5x = 6

x = 6 / 5

( or )

x = 1.2

Answer: To find equation solutions, solve x+2=0 and x+3=0. To find equation solutions, solve x + 2 = 0 and x + 3 = 0. x2+5x+6=0 Two solutions were found : x = -2 x = -3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x+6 The first term is, x2 its ...

Step-by-step explanation:

Answer:

Not a Function.... hope you pass!

Answer:

i dont know but some one will help freeee points

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

12 : 20 : 25

Step-by-step explanation:

Express the ratios in terms of a

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

3b = 5a ( divide both sides by 3 )

b = [tex]\frac{5}{3}[/tex] a

[tex]\frac{b}{c}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4c = 5b ( divide both sides by 4 )

c = [tex]\frac{5}{4}[/tex] b = [tex]\frac{5}{4}[/tex] × [tex]\frac{5}{3}[/tex] a = [tex]\frac{25}{12}[/tex] a

Then

a : b : c

= a : [tex]\frac{5}{3}[/tex] a : [tex]\frac{25}{12}[/tex] a ( multiply each part by 12 to clear the fractions )

= 12a : 20a : 25a ( divide each part by a )

= 12 : 20 : 25

Answer:

y=10x+10

Step-by-step explanation:

Answer: 7+3/4x >= 31

Step-by-step explanation: 7 more = +7

three - fourths of a number = 3/4 x

no less than = >= (more than or equal to sign)

Answer:

remove the bracket 5x-1+5x collect like term 5x+5x-1

10x-1 is the answer