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7nadin3 [17]
3 years ago
6

Which function has an inverse that is a function?

Mathematics
1 answer:
nalin [4]3 years ago
3 0
C is the answer !!!!!!!!!
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Please help 100 points and brainlest for all the answers
masha68 [24]

Answer:

See explanation

Step-by-step explanation:

Q1. The graph of given data is attached.

The relationship is directly proportional as the line connecting all points is straight line passing through the origin.

For every 1 unit change in x, the change of y is 16.

Therefore, the equation that represents this line is

y=16x

If x=10, then y=16\cdot 10=160 square feet.

Q2. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin (see second attached graph).

For every 1 unit change in x, the change of y is 0.45.

Therefore, the equation of the line is

y=0.45x

Q3. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

Find the constant of proportionality:

If x = 2, y = 25, then

when x = 1, y = 12.5

so k = 12.5

and the equation of the line is

y=12.5x

When x=14, then y=12.5\cdot 14=175

Hence, the cost of 14 tickets is $175

Q4. This table does not show the direct variation because

if x = 500 and y = 40, then

for x = 100, y is 40\div 5=8

and for x = 700, y must be 7\cdot 8=56 not 50.

Hence, this relationship does not show the direct proportionality between x and y.

Q5. This elationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

The constant of proportionality is k=1.75

The equation of proportionality is y=1.75x

When y=28, then

28=1.75x\\ \\x=\dfrac{28}{1.75}\\ \\x=16

This means for $28 you could buy 16 ice cream scoops.

Q6. The line passes through the point (2,61), so the constant of proportionality is

k=\dfrac{61}{2}=30.5

The equation of proportional relationship is

y=30.5x

When y=274.50, then

274.50=30.5x\\ \\x=\dfrac{274.5}{30.5}\\ \\x=9

This means you could buy 9 tickets for $274.50

Q7. The equation which represent proportional relationship should have the equation of the form

y=kx

Circle all equations in this form:

y=5x\\ \\p=0.5m\\ \\y=\dfrac{1}{2}x\\ \\M=3n\\ \\y=2x

Q8. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If y is directly proportional to x, the equation is of the form y = kx (where k is a constant).

This means that the graph of direct variation is always a straight line passing through the origin (because x = 0 and y = 0 satisfy the equation for all k).

Not all lines represent the proportional relationship. Only those, which pass through the origin.

4 0
3 years ago
Read 2 more answers
Find the slope of the line through P(5.7) and Q(-1,7).​
VARVARA [1.3K]

We can use the points given to solve for the slope.

Slope formula: y2-y1/x2-x1

7-7/-1-5

0/-6

Since the numerator is 0, the slope is 0.

Best of Luck!

8 0
3 years ago
Next week, Josephine wants: to spend the same total amount of time, but practice the same number of hours each of the 4 days. Ho
Contact [7]

Answer:

I got the same question on Khan Academy. I was going to ask that too but saw that you already did. Maybe try to point it out to someone else on Brainly.  Sorry that I could not help.

Step-by-step explanation:

7 0
2 years ago
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Evaluate the six trigonometric functions of the angle 0
Alla [95]

# Sin θ = 9/15.

# Cos θ = 12/15.

# Cosec θ = 15/9.

# Sec θ = 5/4

Step-by-step explanation:

by \: using \: pythagorian \: triplets

{a}^{2}  +  {b}^{2}  =  {c}^{2}

{9}^{2}  +  {12}^{2}  =  {c}^{2}

81 + 144 =  {c}^{2}

225 =  {c}^{2}

c = 15.

\sin θ =  \frac{9}{15}

\cos θ =  \frac{12}{15}  =  \frac{4}{5}

\csc θ =  \frac{15}{9}

\secθ =  \frac{5}{4}

7 0
3 years ago
Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). Include your work in you
PIT_PIT [208]
Y=1/2x  2y-1x=0 lolololol
3 0
3 years ago
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