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Mariulka [41]
3 years ago
5

Which ordered pairs are solutions to the inequality y−4x≤−6 ?

Mathematics
1 answer:
amid [387]3 years ago
7 0

I think it is A, (-2,-14)

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A rectangular building with a square base is being designed to minimize heat loss. The building designers state that the volume
Arturiano [62]

Answer:

y = 4000/x²

Step-by-step explanation:

The volume of the building is expressed as;

V = x²y where;

x is the length and width of the base.

y is the height of the building

Given

Volume V = 4000m³

Substitute the given volume into the equation as shown;

4000 = x²y

Make y the subject of the formula by dividing both sides by x²

4000/x² = x²y/x²

4000/x² = y

Rearrange

y = 4000/x²

Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²

8 0
2 years ago
The daily advertising revenue (in dollars) for a local newspaper is given by the function R(t) = -18t2 + 720t – 103, where t is
erastovalidia [21]

Answer:

6647

Step-by-step explanation:

The computation of the advertising revenue for 15 years is shown below:

Given that

r(t) = -18t^2 + 720t - 103

where

t = number of years = 15

now put the value of t in the above equation

= -18(15)^2 + 720(15) - 103

= -4050 + 10,800 - 103

= 6647

6 0
3 years ago
If a = -2, b = -6, c = -4, and d = -3, evaluate the following expressions.
abruzzese [7]
It’s Has to be B because if you had the negative numbers you get -12
6 0
3 years ago
Plz hurry, brainliest and lots of points plz explain answer and only answer if you are actually gonna do it.
Citrus2011 [14]

Answer and Step-by-step explanation:

1st box:

0, -3

2nd box

-2, -9/4

3rd box:

2, -3/2

4th box:

4, 0

Btw 0, -2, 2, 4 are in the x-coordinate column if you didn’t know, and 1, -9/4, -3/2 are in the y-coordinate column

Basically to solve if you plug in 0 into x, so basically it’s 3(0)-4y=12, which you simplify gives you 0-4y=12, subtract 0 from 12 which is 12 and then do 12 divided by -4 and then you get y = -3 and that’s how you get the box answer

Idk how to the rest srry lol!

3 0
3 years ago
This graph represents a quadratic function. What is the function's equation written in factored form and in vertex form?
grigory [225]

Answer:

vertex form:  f (x) = 2 * (x - 2) ^ 2 - 8

factored form: f (x) = 2 * x * (x - 4)

Step-by-step explanation:

The first thing is to calculate the equation with its vertex form, we can calculate it knowing that it is formulated in the following:

f (x) = a * (x - h) ^ 2 + k

where

a is a coefficient

(h, k) is the vertex

Looking at the graph

The vertex is the point (2, -8), we replace and we are left with:

f (x) = a * (x - 2) ^ 2 - 8

Now, to calculate the value of the coefficient we are going to

mark a point on the graph

, we will select (0,0)

and replacing we have:

0 = a * (0 - 2) ^ 2 - 8

0 = 4 * a - 8

a = 8/4

a = 2

Therefore, we would be left with the equation of the function written in The first thing is to calculate the equation with its vertex form, we can calculate it knowing that it is formulated in the following:

f (x) = a * (x - h) ^ 2 + k

where

a is a coefficient

(h, k) is the vertex

Looking at the graph

The vertex is the point (2, -8), we replace and we are left with:

f (x) = a * (x - 2) ^ 2 - 8

Now, to calculate the value of the coefficient we are going to

mark a point on the graph

, we will select (0,0)

and replacing we have:

0 = a * (0 - 2) ^ 2 - 8

0 = 4 * a - 8

a = 8/4

a = 2

Therefore, we would be left with the equation of the function written in vertex form:

f (x) = 2 * (x - 2) ^ 2 - 8

Now for the factored form, we know it has the following structure:

f (x) = a * (x - x1) * (x - x2)

knowing that a is a coefficient

and that x1 and x2 are the zeros or x-intercepts of the function

Looking at the graph

The zeros or x-intercepts of the function are

x = 0 and x = 4

so

f (x) = a * (x - 0) * (x - 4)

f (x) = a * x * (x - 4)

To calculate the value of the coefficient a, we will take the point (2, -8), we replace:

-8 = a * 2 * (2 - 4)

-8 = 4 * a - 8 * a

4 * a = 8

a = 2

we replace and we have:

f (x) = 2 * x * (x - 4) and this would be the factored form of the equation

Now for the factored form, we know it has the following structure:

f (x) = a * (x - x1) * (x - x2)

knowing that a is a coefficient

and that x1 and x2 are the zeros or x-intercepts of the function

Looking at the graph

The zeros or x-intercepts of the function are

x = 0 and x = 4

so

f (x) = a * (x - 0) * (x - 4)

f (x) = a * x * (x - 4)

To calculate the value of the coefficient a, we will take the point (2, -8), we replace:

-8 = a * 2 * (2 - 4)

-8 = 4 * a - 8 * a

4 * a = 8

a = 2

we replace and we have:

f (x) = 2 * x * (x - 4) and this would be the factored form of the equation

4 0
3 years ago
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