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2 years ago

What is the answer to 6x-3(2-3x)

Mathematics

2 answers:

Pavlova-9 [17]2 years ago

8 0

Answer: It would be 15x-6

insens350 [35]2 years ago

5 0

Problem: 6x-3(2-3x)

Let's solve!

First: we expand

6x-(6-9x)

Then we simplify

6x-6+9x

Collect like terms

(6x+9x)-6

Simplify:

15x-6

The answer is 15x-6

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What is the slope of the line that passes through the points (1, 1) and (4, 4)?

gizmo_the_mogwai [7]

Answer:

The answer is 1

Step-by-step explanation:

Formula for finding the slope: $\frac{y2-y1}{x2-x1}$

Take y2 and y1 from (4,4) (1,1)

Take x2 and x1 from (4,4) (1,1)

$\frac{y2-y1}{x2-x1} = \frac{4-1}{4-1} = \frac{3}{3} = 1$

This is how the answer is 1

Hope it helps :)

8 0

1 year ago

A teenager who is 5 feet tall throws an object into the air. The quadratic function LaTeX: f\left(x\right)=-16x^2+64x+5f ( x ) =

tia_tia [17]

Answer:

At approximately x = 0.08 and x = 3.92.

Step-by-step explanation:

The height of the ball is modeled by the function:

$f(x)=-16x^2+64x+5$

Where f(x) is the height after x seconds.

We want to determine the time(s) when the ball is 10 feet in the air.

Therefore, we will set the function equal to 10 and solve for x:

$10=-16x^2+64x+5$

Subtracting 10 from both sides:

$-16x^2+64x-5=0$

For simplicity, divide both sides by -1:

$16x^2-64x+5=0$

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Substitute:

$\displaystyle x=\frac{-(-64)\pm\sqrt{(-64)^2-4(16)(5)}}{2(16)}$

Evaluate:

$\displaystyle x=\frac{64\pm\sqrt{3776}}{32}$

Simplify the square root:

$\sqrt{3776}=\sqrt{64\cdot 59}=8\sqrt{59}$

Therefore:

$\displaystyle x=\frac{64\pm8\sqrt{59}}{32}$

Simplify:

$\displaystyle x=\frac{8\pm\sqrt{59}}{4}$

Approximate:

$\displaystyle x=\frac{8+\sqrt{59}}{4}\approx 3.92\text{ and } x=\frac{8-\sqrt{59}}{4}\approx0.08$

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.

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1 year ago

Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predic

elena55 [62]

The population 10 years later will have increased by 3,040, making the population 18,240.
Hope this helps.

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2 years ago

Find two positive fractions with a quotient of 5/6

hichkok12 [17]

Alright, so if we divide fractions we get
(x/y)/(a/b)= (x/y)*(b/a). If the x is 5 and the a is 6, as well as y and b being the same therefore cancelling out, we can write it easily. For example, we can write (5/100)/(6/100) or (5/60)/(6/60)

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2 years ago

A combination lock uses 4 numbers, each of which can be 0 to 33. If there are no restrictions on the numbers, how many possible

vodomira [7]

Answer:

Solution for A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the numbers, how many possible ...

Step-by-step explanation:

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2 years ago