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padilas [110]
3 years ago
11

Which line shows the graph of y = 4x - 5 reflected over the y-axis?

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

The line y = -4x - 5 shows the reflection over the y-axis.

From the attached graph, the blue line i.e. y = -4x-5 represents the reflection over the y-axis.

Step-by-step explanation:

When we reflect a line function over the y-axis, all we need is to negate the x-coordinate or value of 'x', while y-coordinate or y-value remains the same.

Given the function

y = 4x-5

replace x with -x

y = 4(-x) - 5

y = -4x - 5

Thus, the line y = -4x - 5 shows the reflection over the y-axis.

From the attached graph, the blue line i.e. y = -4x-5 represents the reflection over the y-axis.

From the graph, it is clear that that that x-coordinate of y = 4x-5 is negated.

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Michelle flips a penny four times, and it lands heads up all four times. On her fifth flip, what is the probability that the pen
snow_tiger [21]

Answer:

1/2

Step-by-step explanation:

theoretical probability of a coin flip is always 50% heads, 50% tails

8 0
3 years ago
Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What
marissa [1.9K]

Answer:

The velocity of jet in still air is  860miles/hour and velocity of wind is   140miles/hour.

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind =\frac{2160}{3} = 720 miles/hour

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind =\frac{6000}{6} = 1000 miles/hour

As such its velocity against wind is  x-y

and with wind is   x+y therefore

x-y=720------------(1)

x+y=1000---------------(2)

Adding equation 1 and 2.

2x=1720

x=\frac{1720}{2}

x=860

Put x value in equation 2

860+y=1000

y=1000-860

y=140

Hence velocity of jet in still air is  860miles/hour and velocity of wind is   140miles/hour.

8 0
4 years ago
I need HELP ASAP! It’s due today
Vikki [24]

Answer:

28 cubs

Step-by-step explanation:

Since one and a half bear produces one and a half cub, then 6 bears will produce 6 cubs in one and a half days.

We need to find 7 days, though but we have the rate for six bears for 1.5 days which 6 bears one a half day.

What is the rate for a day?

6/1.5 =

6 bears produce 4 cubs a day.

Now just do 4 x 7

4 x 7 = 28

Therefore, 6 bears produce 28 cubs in 7 days.

8 0
3 years ago
Read 2 more answers
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by payi
LenKa [72]

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

3 0
3 years ago
True or false.<br> y +2&lt;8; y = 3
Evgesh-ka [11]

Answer:

false

Step-by-step explanation:

4 0
3 years ago
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