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3 years ago

Two less than three times a number is 28

Mathematics

1 answer:

Alenkinab [10]3 years ago

4 0

Answer:

x = 10

Step-by-step explanation:

Two less than three times a number is 28

Let's break it up.

2 less than: -2

3 times a number: 3x (x is representing a number")

is 28: = 28

So, let's put that together.

Two less than three times a number is 28

3x - 2 = 28

Now, let's solve this.

First, let's isolate the x.

To do this, we must add 2 to each side.

3x - 2 = 28

+2 +2

3x - 2 + 2 = 3x

28 + 2 = 30

We have 3x = 30

Now, we must simplify.

To do this, we must divide each side by 3.

This, in term, will tell us what x equals.

3x = 30

--- ----

3 3

3x/3 = x

30/3 = 10

x = 10

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

A bottle rocket is shot off a bridge into the stream below. The height of the rocket (in feet) above

nalin [4]

The correct model of the height of rocket above water is;

h(t) = -16t² + 96t + 112

Answer:

time to reach max height = 3 seconds

h_max = 256 ft

Time to hit the water = 7 seconds

Step-by-step explanation:

We are given height of water above rocket;

h(t) = -16t² + 96t + 112

From labeling quadratic equations, we know that from the equation given, we have;

a = -16 and b = 96 and c = 112

To find the time to reach maximum height, we will use the vertex formula which is; -b/2a

t_max = -96/(2 × -16)

t_max = 3 seconds

Thus, maximum height will be at t = 3 secs

Thus;

h_max = h(3) = -16(3)² + 96(3) + 112

h_max = -144 + 288 + 112

h_max = 256 ft

Time for it to hit the water means that height is zero.

Thus;

-16t² + 96t + 112 = 0

From online quadratic formula, we have;

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3 years ago

What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?

mafiozo [28]

Answer:

$(x-7)^2+(y-5)^2=16$ .

Step-by-step explanation:

The given circle has equation $x^2+y^2=16$ .

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

The equation of a circle with center (h,k) and radius r units is $(x-h)^2+(y-k)^2=r^2$ .

This implies that, the translated circle will now have equation.

$(x-7)^2+(y-5)^2=4^2$ .

$(x-7)^2+(y-5)^2=16$ .

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3 years ago

Suppose the matrix representing a system of difference equations contains a column of zeros. What does this imply about the syst

zhuklara [117]

Answer:

It is a singular matrix system.

Step-by-step explanation:

A column of all zeros in a matrices says that the variable associated with that column has no effect on the output.

For example If the first column of a matrix consists of zeros, this means that the coefficient of the first variable is zero in every equation in the system . This means that if there is any solution at all, then there must be an infinite number of them, since you can set that first variable to any value at all and still satisfy all of the equations.

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4 years ago