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Studentka2010 [4]
3 years ago
13

Which expression is equivalent to 9c + 12d + 2c

Mathematics
1 answer:
Alexxx [7]3 years ago
7 0

Answer:

B. 11c + 12d

Step-by-step explanation:

Given

9c + 12d + 2c

Combine the like terms

= 11c + 12d

Hope it will help :)

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The function f(x) is defined as, <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%203%20%2B%20%5Cfrac%7B1%7D%7B2x-5%7D" id="TexF
Alex73 [517]

Answer:

a) look at the figure

b) i) x = 2.5 , y = 3

   ii) x-intercept is 2.333

   iii) y-intercept is 2.8

Step-by-step explanation:

a) The points of the graph f(x) = 3+1/2x - 5 are:

f(-5) = 2.9333

f(-4) = 2.923

f(-3) = 2.909

f(-2) = 2.888

f(-1) = 2.857

f(0) = 2.8

f(1) = 2.666

f(2) = 2

f(3) = 4

f(4) = 3.333

f(5) = 3.2

b)

i) to find the vertical asymptotic put the denominator = 0

  2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 5 ÷ 2 = 2.5

∴ The equation of the vertical asymptotic is x = 2.5

To find the horizontal asymptotic look at the degree of the numerator and denominator

∵ they are equal f(x) = (6x -14)/(2x - 5) ⇒ 6x ÷ 2x = 3

∴ The equation of the horizontal asymptotic is y = 3

ii) the value of x-intercept means put f(x) = 0

∴3 + 1/2x - 5 = 0 ⇒ 1/2x - 5 = -3 ⇒ -6x + 15 = 1 ⇒ 6x = 14

  x = 14/6 = 2.333

iii) The value of y-intercept means x = 0

∴ f(x) = 3 + 1/0 - 5 = 3 + (-0.2) = 2.8

4 0
3 years ago
If ​$8,000 is invested at ​4% compounded​ continuously, what is the amount after 2 ​years?
Andreas93 [3]

Answer:

8,666.30

Step-by-step explanation:

5 0
3 years ago
If you formed an algebraic equation to model the sentence three times a number is equal to nine how many variables would be in t
dlinn [17]

Ans

there should be one variable

eqn = 3x = 9

x=9/3

therefore x=3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
7 – (5t - 13) = -25<br><br> i need help with this question
Mazyrski [523]

Answer:

t=9

Step-by-step explanation:

Solve -

Distribute :7-(5t - 13) = - 25

7 - 5t + 13 = - 25

Add the numbers :7 – 57 + 13 = -25

20-51 = -25

Rearrange terms :20-51 = -25

-51+ 20 = -25

Subtract 20 from both sides :-51 + 20 = -25

-51+20-20-25-20

Simplify :Subtract the numbers

-51+ 20-20-25-20

-5:=-25-20

Subtract the numbers

-51 = -25-20

-51 = -45

-51 = -45

Divide both sides by the same factor : -51 = -45 -5t -5 -45- -5 =

Simplify : Cancel terms that are in both the numerator and denominator :: -5t - = -45 - -5

t = - 45 - -5

Divide the numbers :

t = - 45 - -5 ” t=9 ” here’s the answer

4 0
2 years ago
How do you solve these
yuradex [85]

1) 5x-2x+6-4

5(2)-2(2)+6-4    So plug in 2 for x

Solve on calculator or just distribute it out

10-4+6-4

6+6-4

12-4

8 is your answer


4) 4x-8 is the same as 2(2x-4) if you distribute this out your outcome would be 4x-8

5)

a) 2(3x+4)

6x+8

b)-4(5x+5)

-20x-20

c) -2x+2(4x+1)

Pemdas so

-2x+8x+2

6x+2


d) 5x+2(3x-4)-10

5x+6x-8-10

11x-18

Hope that helps!

4 0
3 years ago
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