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3 years ago

Can I have some help with this? Construct a linear function that has a slope of -3 and passes through the point (-2,3).

Mathematics

1 answer:

Arisa [49]3 years ago

4 0

Answer:

-3x-3

Step-by-step explanation:

We want our equation to look like this

y=mx+b

we know that m= -3 so we just need to find b

We can start by plugging in the ordered coordinates into our equation

3=(-3)(-2)+b

Solve for b

3=6+b

b= -3

Which means our final equation is

y= -3x-3

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Mary throws her Grandma’s favorite crystal dish out the second floor window, which is 6 meters from the ground. She is really up

wlad13 [49]

we know that

acceleration due to gravity is 9.8m/s^2

so, we get

$a(t)=9.8$

and acceleration will always be constant

we know that

integral of acceleration is velocity

so, we can integrate both sides

$\int \:a\left(t\right)dt=\int \:9.8dt$

$v(t)=9.8t+C$

we are given

v(0)=35m/s

we can use it and find C

$v(0)=9.8*0+C$

$35=9.8*0+C$

$C=35$

now, we can plug it back

$v(t)=9.8t+35$

we know that

integral of velocity is height

we can integrate it again

$\int \:v\left(t\right)dt=\int \:\left(9.8t+35\right)dt$

$s(t)=\int \:\left(9.8t+35\right)dt$

$s(t)=4.9t^2+35t+C$

now, we have

s(0)=6

we can use it and find C

$s(0)=4.9(0)^2+35(0)+C$

$6=4.9(0)^2+35(0)+C$

now, we can plug back C

$C=6$

and we get

$s(t)=4.9t^2+35t+6$ .............Answer

4 0

3 years ago

Read 2 more answers

The depth of a lake in cedar burg changes over time due to rain fall and evaporation this year it was 39 feet which is 25% less

Nostrana [21]

Answer:

The depth of the lake last year was 52 feet

Step-by-step explanation:

Given as :

This year depth of lake = 39 feet

Let the last year depth of lake = x feet

Now,

According to question :

The depth this year is 25% less than that of last year

I.e 39 feet = x - 25% of x

Or, 39 feet = $\frac{75x}{100}$

or, x = $\frac{3900}{75}$

∴ x = 52 feet

Hence The depth of the lake last year was 52 feet Answer

4 0

3 years ago

A student must have at least 10 hours of instructor-assisted driving time to pass

Solnce55 [7]

Answer:

t ≥ 10

Step-by-step explanation:

Since the student needs at least 10 hours of driving time, they need greater than or equal to 10 hours to pass.

4 0

3 years ago

What mixed number between is 1 and 1 1/2?

EastWind [94]

1 1/4

Pretty easy. For me at least.

6 0

3 years ago

Read 2 more answers

Find the perimeter of a shape with the coordinates (-3, 3), (-1, 6), (2, 4), and (-1, 3)

Lerok [7]

I believe it is (5,16)
.
honestly im not sure if this is right just my best educated guess sorry.
.
Zane

3 0

3 years ago