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3 years ago

Compare these two functions. Which has the greater rate of change? y= -6x + 7

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

8 0

Answer:

y = -6x + 7 has greater rate of change

Step-by-step explanation:

for the first one, the rate of change is -6x and for the second one, the rate of change is -5x so the rate of change for y = -6x + 7 is greater.

Use the formula y2 - y1 / x2 - x1 to find the slop for the second equation. the second equation is y = -5x

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What is the range of y=4sin(x)-2

Lady_Fox [76]

Answer:

According to me it should be -6 $\leq$ y $\leq$ 2.

Step-by-step explanation:

6 0

3 years ago

The larger of two numbers is eight more than three times the smaller number. The sum of the two numbers is fifty-two. Find the t

Dmitry [639]

So... we have two numbers
say "a" and "b"

one is larger than the other, let us say, "b" is larger than "a"
by how much?
well, "eight more than three times"
three times the smaller is 3 * a, or 3a
eight more than that is 3a + 8

so b = 3a+ 8
the sum of both of them is 52
so, we know that

a + b = 52

run a substitution on "b" on the 2nd equation, and solve for "a"
once you find "a", plug it back in the 2nd equation, to get "b"

7 0

3 years ago

. Mr. View is 8 years older than Ms. Sun. In 7 years, the sum of their ages will be 110. How old are they now?

Fofino [41]

Mr. View is now 63, while Ms. Sun is now 47. You’d have to divide 110 in half, this would give you 55. Then subtract 8 from 55, to give you Ms. Suns’ age. To find out Mr. Views age, you then subtract 47 from 110, and you’d then get 63.

5 0

3 years ago

London Heathrow airport see on average 191,200 passengers a day how many passengers is this per minute. I need to show the steps

maw [93]

First you have to ask, how many minutes are in a day?
There are 60 minutes in a hour, and 24 hours a day. You would multiply these two to find how many minutes are in a day.

24×60=1440 minutes in a day.

Now to find how many passages a minute, divide the total number of passangers, by the number of minutes.
191,200÷1440=132.7778

Even though the 7 is bigger than a 5, you do not round up because it doesn't count as a full person.
132 people a minute is your answer.

7 0

4 years ago

Help plz , math equation !!

Ugo [173]

Answer:

We are given the table of a linear function

Since we have to find the equation of the function in the slope-intercept form,

we require the slope as well as the y-intercept

Finding the slope:

We know that slope of a line is Rise / Run

Since from the graph, we notice that the difference of 2 consecutive x-coordinates is 1

Hence, we have the x-coordinates at an interval of 1 and since the slope of a line is defined as the units ascended by the line after covering 1 unit in the x-coordinate

change in y = y $_{n}$ - y $_{n-1}$ (where n is the number of row in the table)

change in y = 31 - 23

change in y = 8 = Rise

Run = 1 (Since the interval in the table is 1)

Slope = Rise / Run

Slope = 8 / 1

Slope = 8

Finding the y-intercept:

We need the y-coordinate at x = 0

Going up from the third row, we notice that for every unit decreased in the x-coordinate , 8 units of the y-coordinate are decreased (since the slope =8)

In that case, the y-coordinate of every decreased x-coordinate will be 8 less than the last one

so we can say that the y-coordinate of x = 1 will be 8 less than 23 since x=1 is one less than x = 2

similarly, we can also say that the y-coordinate of x = 0 will be 8 less than (23-8) since x = 0 is one less than x = 1

Therefore, the y-coordinate at x =0

y = (23-8-8)

y-intercept = 7

Making the Equation:

We need to write the equation in the form:

y = ax + b (where a is the slope of the line and b is the y-intercept)

Replacing the known values, we get

y = 8x + 7

Therefore, the equation of the formula shown in the table is y = 8x + 7

5 0

4 years ago