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steposvetlana [31]
3 years ago
13

Evaluate f(x) = 1/4x for x = -5. A. 20 B. -1/20 C. -1 1/4 D. -4/5

Mathematics
2 answers:
sladkih [1.3K]3 years ago
7 0

Answer:

C. -1 1/4

Step-by-step explanation:

First, we substitute -5 for x.

f(-5)=\frac{1}{4} *-5

Then, we evaluate.

f(-5)=\frac{1}{4} *-5=\frac{-5}{4} =-1\frac{1}{4}

lalo2 years ago
0 0

the answer will be -1 1/4

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Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.
Andreyy89

Answer:

B. 4

Step-by-step explanation:

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

A. 3

B. 4

C.12

Direct variation is given by:

y = kx

Where,

k = constant of variation

(3, 12)

x = 3; y = 12

y = kx

12 = k*3

12 = 3k

k = 12 / 3

k = 4

(9, 36)

x = 9; y = 36

y = kx

36 = k * 9

36 = 9k

k = 36 / 9

= 4

k = 4

Constant of the variation = 4

5 0
3 years ago
Solve the system by substitution:<br> y = -3x + 10<br> y=-3x + 4<br> Please show the steps!
sergiy2304 [10]

Answer:

x=1, y=7

Step-by-step explanation:

y = -3x + 10 - first equation

y=-3x + 4 - second equation

rearrange the expression to

-3x-y= -10

3x-y= -4

pick an equation and simplify; lets pick the second equation

3x-y= -4

\frac{3x}{3} = \frac{-4+y}{3}  

divide 3 by both sides

x= \frac{-4+y}{3} - third equation

substitute the value of x into an equation; lets pick the first equation

-3x-y= -10

-3(\frac{-4+y}{3})- y = -10

simplify. -3 cancels 3 so we are left with

-1(-4+y)-y = -10

simplify

4-y-y= -10

4-2y= -10

subtract 4 from both sides

-2y= -10-4

-2y= -14

divide -2 by both sides

y=7

substitute the value of y, (y=7) in an equation, we are using the second equation

3x-y= -4

3x-7= -4

3x = -4+7

3x= 3

divide 3 by both sides

x=1

so the answer is x=1, y=7

5 0
3 years ago
Determine the length of the legs in the right triangle below.
Marysya12 [62]

Answer:

x = 14

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (14\sqrt{2} )²

2x² = 392 ( divide both sides by 2 )

x² = 196 ( take the square root of both sides )

x = \sqrt{196} = 14

Thus the congruent legs are 14 cm

5 0
3 years ago
Find the slope between (-2,-2) and (0,-3)
KATRIN_1 [288]

Answer:

Step-by-step explanation:

x1 y1 x2 y2

-2 -2 0 3

ΔY 5

ΔX 2

slope= 2 1/2

B= 3

Y =2.5X +3

5 0
3 years ago
Kevin and Jill wrote two different functions that have the same rate of change. Jill’s function has a y-intercept that is 2 less
Art [367]

Kevin linear function is y = 3x + 1 while Jill function is y = 3x - 1

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Using the points (0, 1) and (2, 7), hence for Kevin:

y - 1 = [(7 - 1)/(2 - 0)](x - 0)

y = 3x + 1

Jill’s function has a y-intercept that is 2 less than the y-intercept, hence b = 1 - 2 = -1

Jill function is:

y = 3x - 1

Kevin linear function is y = 3x + 1 while Jill function is y = 3x - 1

Find out more on Linear equation at: brainly.com/question/13763238

8 0
2 years ago
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