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3 years ago

Which equation represents the graph of the linear function?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

Remark
You can just look at the graph to find out the y intercept. The y intercept is the point where x = 0. The point for the y intercept is (0,-2). So B is definitely wrong.

To get the slope, you can just use the x intercept which is (-3,0)
When y = 0, x = - 3. We need to do a little calculation to get the slope.

So far what we have is
y = mx - 2
y = 0
x = -3

0 = m(-3) - 2 Add 2 to both sides.
2 = m(-3) Divide by - 3
2/-3 = m

Now let's see what we have.
y = -2/3x - 2

C is the correct answer

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Given that the sec A = 13/5 and A is in QIV, determine exact value for the sin A.

AysviL [449]

Answer:

The exact value of sin A is opp/hyp = -12/13

Step-by-step explanation:

If A is in Quadrant IV then the "opposite side" is negative and the "adjacent side" is positive. Since sec A = hyp / adj = 13 / 5 and since opp^2 + adj^2 must add up to hyp^2, Therefore y = √(hyp^2 - adj^2), or

y = -√(13^2 - 25) = -√144 = 12.

The exact value of sin A is opp/hyp = -12/13

6 0

3 years ago

The average cost of a compact car at a certain dealership over the last ten years has ranged from $14,000 to $18,500. Suppose yo

mezya [45]

Answer:

Part (A): The scale of y: 1 interval being equal to 500 units and from 14,000 to 18,500.

Part (B): The good interval to use for the y-axis should be 1 to 10.

Step-by-step explanation:

Consider the provided information.

As we know the X axis represents the independent variable, since years are the independent variable. So, X axis represents the years.

Y axis represents the dependent variable, since average cost is dependent variable. So, Y axis represents the average cost.

Part (A) what is a good scale to use for the y-axis?

It is given that range is from $14,000 to $18,500.

So, 1 interval being equal to 500 units, so that it will suitable for 18,500.

The scale of y should be 14,000 to 18,500 as 14,000 is the starting average cost and 18,500 is the last average cost.

Part (b) what is a good interval to use for the y-axis?

The scale for x should be 1 year. As It should start from 1 to 10.

The good interval to use for the y-axis should be 1 to 10.

The required scale is shown in figure,

8 0

3 years ago

Haley bought 8 pencils and 3 folders for $10.39. Nicole bought 5 pencils and 4 folders for $10.51. How much does a folder cost?

cupoosta [38]

Answer:

$1.89

Step-by-step explanation:

1) 8p+3f=$10.39

2) 5p+4f=$10.51

where p represents pencil & f represents folder.

multiply the first equation by 5 and the second equation by 8.

40p+15f=$51.95

40p+32f=$84.08

Subtract

17f=$32.13

f=$32.13/17 =$1.89

6 0

3 years ago

Read 2 more answers

Triangle ABC is congruent to triangle DFE. Find y.

kirza4 [7]

Angles D and A are equal (from the statement bc the name of triangle starts with A and D)

Now set an equation of the angles so
45 = 5y -10

Add 10 on both sides

55 = 5y
divide by 5

y = 11

6 0

3 years ago

From first principles, find the indicated derivatives

LenaWriter [7]

By definition of the derivative,

$\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{(s + h)^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}$