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2 years ago

-3(x - 2) - 2x + 4x^2

Mathematics

1 answer:

Fantom [35]2 years ago

8 0

Answer:

-6x+6+4x^2

Step-by-step explanation:

Distribute the -3

-3(x-2)= -3x+6

Combine like terms

<u>-3x</u>+6<u>-2x</u>+4x^2

-6x+6+4x^2

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13 + 31 = 24 not 44 how on earth is this possible all help is great. Thanks.

Aneli [31]

It is 44. Can't argue about that

3 0

2 years ago

A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The hei

evablogger [386]

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width = 12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6

8 0

2 years ago

Graph the function.

RideAnS [48]

Answer:

$\displaystyle{y=-3x-1}$

Step-by-step explanation:

I have two methods: <u>standard-learning</u> which will explain overall mathematically - basically formula, etc. - while the other one <u>trick-tips</u> method will rely on choices rather mathematical calculations but with explanation on <em>why</em> and <em>how.</em>

<h3>Standard-Learning</h3>

First, let’s pick two points that are integers since they are easily to be found via graphs. We see that (-1,2) and (0,-1) is a part of the graph so now we finally have picked two points for our calculations.

When we have finally picked two points, we will be using them for <u>slope calculation</u>. This part is <u>crucial</u> for finding an equation of a line because a line has to contain slope in its equation.

To calculate the slope, we use rise over run formula which is:

$\displaystyle{\dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}}$

Note that $\displaystyle{\Delta}$ is delta - in both mathematic and physics, it means <u>changes in</u>.

So, we will be using those two points that we have picked to substitute in the slope formula. Let’s determine that $\displaystyle{(x_2,y_2)=(-1,2)}$ and $\displaystyle{(x_1,y_1)=(0,-1)}$ .

Therefore, our slope will be:

$\displaystyle{m=\dfrac{2-(-1)}{-1-0}}\\\\\displaystyle{m=\dfrac{2+1}{-1}}\\\\\displaystyle{m=-3}$

Next, find the y-intercept. From the graph, we see that the graph intercepts at (0,-1) which is y-intercept so we will only use y-value. Hence, b = -1.

From the slope-intercept form:

$\displaystyle{y=mx+b}$

Substitute m (slope) = -3 and b (y-intercept) = -1. Hence, the equation of line is:

$\displaystyle{y=-3x-1}$

<h3>Fast Way (Trick-Tips)</h3>

Relying on choices and knowledge of graph, notice that there are slopes of 3 and -3.

Keep in mind that if slope is negative, it will decrease down and if slope is positive, it will increase up.

Therefore, cut off all choices with positive slopes which are 1 and 3. We are now left with 2 and 4.

Next, look at the graph and tell its y-intercept. It intercepts y at y = -1 so we take value of -1.

So choice 4 is cut off and now we have choice 2 as the answer.

Learn More:

brainly.com/question/27514958 - Find the line equation with given points

8 0

2 years ago

Which term best describes he statement given below? If x => y and y=> z, then x=> z

Ierofanga [76]

Answer:d

Step-by-step explanation:

7 0

2 years ago

A trail around a river is 3 1/4 miles long. What is the length, in feet, of the trail?

bezimeni [28]

Answer: 17160 feet

Step-by-step explanation:

We know that 5280 feet = 1 mile

So all we have to do is multiply 3 1/4 by 5280

Let's split the 3 and 1/4 up to make the multiplication easier

3×5280=15840

$\frac{1}{4}$ ×5280= $\frac{5280}{4} =1320$

Now add them together

15840+1320=17160

4 0

2 years ago