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Vesnalui [34]
2 years ago
9

the value of y varies directly with x. If x equals 3 then y equals 21 what is the value of x when y equals 105.​

Mathematics
1 answer:
katen-ka-za [31]2 years ago
6 0

Answer:

x = 15

Step-by-step explanation:

The equation for direct variation is

y = kx

y=21 when x=3

21 = k*3

Divide each side by 3

21/3 = 3k/3

7 =k

y = 7x

Let y=105

105 = 7*x

Divide by 7

105/7 = x

15 =x

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Let the function f be defined as f(x)= 5x^2 - 7(4x+3). What is the value of f(3)
Katen [24]

Answer:

f(x) = -60 is your answer

Step-by-step explanation:

Plug in 3 for x

f(x) = 5x² - 7(4x + 3)

f(x) = 5(3²) - 7(4(3) + 3)

Follow PEMDAS. First, solve the parenthesis

3² = 9

4(3) + 3 = 12 + 3 = 15

f(x) = 5(9) - 7(15)

Multiply

f(x) = 45 - 105

Simplify. Subtract

f(x) = 45 - 105

f(x) = -60

f(x) = -60 is your answer

~

4 0
3 years ago
Which of the following sets of numbers could represent the three sides of a triangle?
olchik [2.2K]

Answer:

i'm not sure but i think its 7,14,21

Step-by-step explanation:

7,14,21

6 0
2 years ago
Offering 20 points for this one need asap
kirill115 [55]

Answer:

y = 3x+.5

Step-by-step explanation:

We know the y intercept (the value when x=0) is .5

We can find the slope from 2 points

(0,.5) and (1,3.5)

m = (y2-y1)/ (x2-x1)

    = (3.5-.5)/(1-0)

     = 3/1

   = 3

We can use y = mx+b since we know the slope and the y intercept

 y = 3x+.5

5 0
3 years ago
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