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2 years ago

Select all statements that are true about the linear equation. y=−x−1

1 answer:

6 0

For point (1, -2): -2 = -1 - 1 = -2. Therefore, point (1, -2) lies on the graph of the equation.

The graph of the equation is the set of points that are solutions to the equation.

A coordinate pair on the graph of the equation is a solution to the equation.

For the point (0, -1): -1 = -(0) - 1 = 0 - 1 = -1.
Therefore, The point ( 0, −1 ) lies on the graph of the equation.

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A vehicle is moving at a constant speed travels 45 miles in 3/4 hour. The driver thinks he will be late to a meeting that is sti

Ivahew [28]

The unit rate is 60 miles per hour and the driver will reach before time with the calculated constant speed

Step-by-step explanation:

Given

Distance = d = 45 miles

Time = t = 3/4 hour

The unit rate is defined as the distance per unit time. In this case, the unit rate can also be called speed.

So,

$s = \frac{d}{t}\\s = \frac{45}{\frac{3}{4}}\\s = 45 * \frac{4}{3}\\s = 60\ miles\ per\ hour$

Using this unit rate we can see if the car can travel 65 miles in 1.25 hours or not

Given

Distance = d1 = 65 miles

Speed = s = 60 miles per hour

Putting the values in the formula for speed

$s = \frac{d_1}{t_1}\\60 = \frac{65}{t_1}\\t_1 = \frac{65}{60}\\t_1 = 1.08\ hours$

As we can see that 1.08 is less than 1.25 so the driver will reach the meeting before time if he drives on a constant speed of 60 miles per hour

Hence,

The unit rate is 60 miles per hour and the driver will reach before time with the calculated constant speed

Keywords: Speed, unit rate

Learn more about speed at:

#LearnwithBrainly

7 0

2 years ago

Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet. What is the length of the rug?

boyakko [2]

$\boxed{\boxed{\text{Perimeter = 2(Length + Width)}}}$

Given that the perimeter is 16ft and width is 5 ft,
$16 = 2( Length + 5)$

Distribute 2:
$16 = 2Length + 10$

Take away 10 from both sides:
$2Length = 16 - 10$

Evaluate the right hand side:
$2Length = 6$

Divide by 2 on both sides:
$Length = 3$

$\boxed{\boxed{\text{Answer: Length = 3 ft}}}$

8 0

3 years ago

The length of an instant message conversation is normally distributed with a mean of 5 minutes and a standard deviation of .7 mi

Charra [1.4K]

The correct answer is:

0.0764

Explanation:

We will use a z-score to answer this. The formula for a z-score is

$z=\frac{X-\mu}{\sigma}$ , where μ is the mean and σ is the standard deviation. Using our information in this problem, we have

$z=\frac{6-5}{0.7}=\frac{1}{0.7}=1.43$

Using a z-table, we look up the z-score 1.43. The area under the curve to the left of, or less than, this value is 0.9236. This means the probability that the time is greater than this is 1-0.9236 = 0.0764.

7 0

2 years ago

Read 2 more answers

A silver ring has a volume of 3 cm- and a mass of 36 grams. Find the density of the silver.

siniylev [52]

M/V = D. 36g/3cm = 12

8 0

2 years ago

What number would complete the pattern? 107 98 90 83 77_68 65

Leviafan [203]

Going from 107 to 98 is (minus 9)
going from 98 to 90 is (minus 8)
going from 90 to 83 is (minus 7)
going from 83 to 77 is (minus 6)

following this pattern, the number after 77
is 77 minus 5 = 72

therefore your answer is 72

7 0

2 years ago