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3 years ago

Find the equations of the lines for the following. Your answer should be in the form y=mx+b.

Mathematics

1 answer:

spin [16.1K]3 years ago

4 0

Answer:

1 ) y = 2x - 1

slope = 2

y intercept is (0,-1)

2) y = -1/2x + 5

slope = -0.5

y intercept = (0,5)

Step-by-step explanation:

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Number 7: What do the lines on the shape mean

Serjik [45]

The lines mean that they are parallel

5 0

3 years ago

Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115

Pani-rosa [81]

By definition we have that the average rate of change of the function is:

$AVR = \frac{f(x2) - f(x1)}{x2 - x1}$

Evaluating the function for the complete interval we have that the AVR is given by:

$AVR = \frac{115 - (-5)}{10 - (-2)}$

Rewriting we have:

$AVR = \frac{115+5}{10+2}$

Simplifying the expression we have:

$AVR = \frac{120}{12}$

$AVR = 10$

Answer:

the average rate of change of the function defined by the table is:

$AVR = 10$

6 0

3 years ago

Find the area and the circumference of a circle with radius 6cm.

OLga [1]

Answer:

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Where

r represents the radius of the circle

π is a constant whose value is 3.14

From the information given,

Radius = 6 cm

Therefore,

Circumference = 2 × 3.14 × 6

Circumference = 37.68 cm

The formula for determining the area of a circle is expressed as

Area = πr²

Area = 3.14 × 6² = 113.04 cm²

4 0

3 years ago

If a car traveling at 75 mph west, changes its direction to east, does it accelerate?

antiseptic1488 [7]

Answer:

Yes, that's right, a change in the direction of motion results in an acceleration even if the moving object neither sped up nor slowed down. That's because acceleration depends on the change in velocity and velocity is a vector quantity — one with both magnitude and direction.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this rate and there were 14,000 spore

nydimaria [60]

Total mold spores at end of 9.30 am is 26901.

Step-by-step explanation:

Number of molds = 14000

Rate = 9.7% per hour

Number of hours = 12 am to 9.30 am = 9 $\frac{1}{2}$ hours

Growth of mold = 14000 * 9.7% * 9 $\frac{1}{2}$

= 12901

Total mold spores at end of 9.30 am = 14000 + 12901

= 26901

Hence, the expected number of mold spores at 9.30 am is 26901.

7 0

3 years ago