All categories

2 years ago

A coordinate plane with a line passing through (negative 3, negative 5), (0, 1), and (2, 5).

Mathematics

2 answers:

-Dominant- [34]2 years ago

4 0

Answer:

m=2

b=1

y=2x+1

Step-by-step explanation:

First, slope is change in y over change in x, or rise over run. Plugging these points in, (y2-y1)/(x2-x1)=(1--5)/(0--3), or 6/3, simplifying, the slope= 2.

Next, the y-intercept is where the line intersects the y-axis, or when x is 0. Looking at the point (0,1), the y intercept is 1.

Using slope intercept form, y=mx+b, or y=2x+1.

irakobra [83]2 years ago

3 0

Answer:

A function f(x) is graphed.

What is the slope of the function?

m =

What is the y-intercept of the function?

b =

Which equation represents the graph of the function?

y = 2x + 1

You might be interested in

40% of the students in a class are girls and the number of boys is 24 find the total number of students and the number of girls

navik [9.2K]

Answer:

Girls = 16

Total students = 40

Step-by-step explanation:

40% of the students are girls, this means 60% of the students are boys.

To find the number of girls, setup a proportion using the percentages and actual number of students in the class. I am going to make the numerator the numbers that go with the girls and the denominator will be the numbers that go with the boys.

Also let's convert the percentages to decimals by moving the decimal two places left.

40% = 0.4 and 60% = 0.6

$\frac{.4}{.6} =\frac{g}{24} \\.6g=9.6\\\frac{.6g}{.6} =\frac{9.6}{.6} \\g=16$

Now let's find the total number of students by adding the number of girls to the number of boys.

16 + 24 = 40

7 0

1 year ago

a group of astronauts launched a model rocket from a platform. Its flight path is modeled by h= -4t^2+24t+13 where h is the heig

Eddi Din [679]

Answer:

6.5 seconds

Step-by-step explanation:

Keep in mind that when $h=0$ , this is the same height for both when the model rocket takes off and lands, so when the rocket lands, time is positive. Thus:

$h=-4t^2+24t+13\\\\0=-4t^2+24t+13\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-24\pm\sqrt{24^2-4(-4)(13)}}{2(-4)}\\ \\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{784}}{-8}\\\\t=\frac{-24\pm28}{-8}\\\\t=\frac{-24-28}{-8}\\ \\t=\frac{-52}{-8}\\ \\t=\frac{52}{8}\\\\t=6.5$

So, the amount of seconds that the model rocket stayed above the ground since it left the platform is 6.5 seconds

5 0

2 years ago

Read 2 more answers

A pizza delivery shop averages 20 minutes per delivery with a standard deviation of 4 minutes. What is the probability that a pi

Orlov [11]

We have the mean, μ = 20 and the standard deviation, σ = 4

X ≈ N(20, 4²)

We want P(X<15)

Standardising gives

P(X<15) = P(Z< $\frac{15-20}{4}$ )
P(X<15) = P(Z< -1.25) ⇒ When the value of the z-score is negative, we will read the value of z<1.25 on the z-table then subtract the answer from 1

P(X<15) = 1 - P(Z<1.25)
P(X<15) = 1 - 0.8944
P(X<15) = 0.1056

Hence, the probability that pizza takes less than 15 minutes to be delivered is 0.1056 = 10.56%

7 0

2 years ago

Which expression can be used to determine 50% of 42?<br> 42-2 ,42÷2,42÷10,42-10<br>

evablogger [386]

Answer:

42÷2

Step-by-step explanation:

3 0

2 years ago

Express 0.000023 in standard form . *

sdas [7]

Answer:

Step-by-step explanation:

2.3*10'-2

5 0

2 years ago