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2 years ago

4 algebra 1 questions if you know the answers please try to get me to understand

Mathematics

2 answers:

asambeis [7]2 years ago

3 0

Distribute each term in one parenthesis to the other terms in the other parenthesis.

(x - 2) (2x + 3)

First, distribute x. When distributing, multiply

x(2x) = 2x²

x(3) = 3x

Next, distribute the other term, -2. Remember to change the signs.

-2(2x) = -4x

-2(3) = -6

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2x² + 3x - 4x - 6

Combine like terms

3x - 4x = -x

2x² - x - 6

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2x² - x - 6 is your answer

hope this helps

Goryan [66]2 years ago

3 0

In order to distribute be sure to use the F.O.I.L method! Here's my work to help:

FOIL = first, outer, inner, last

1. (x-2)(2x+3)--- multiply the first values in both parentheses to get 2x^2.

2. Multiply the outer values (x and 3) to get 3x

3. Multiply the inner values (-2 and 2x) to get -4x

4. Multiply the last values (3 and -2) to get -6.

5. Place all the values together and then simplify by combining like terms...

2x^2 -3x - 4x -6 which simplifies to your final answer of 2x^2-x-6. Hope this helped :))

You might be interested in

What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?

zimovet [89]

ANSWER

$y - x = - 1$

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

$y = - x + 4$

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

$m= - \frac{1}{ - 1} = 1$

The equation of the line can be found using:

$y - y_1 = m(x - x_1)$

We substitute the slope and point to obtain:

$y - 3 = 1(x - 4)$

We simplify to get:

$y - 3 = x - 4$

$y - x = - 4 + 3$

The required equation is

$y - x = - 1$

5 0

2 years ago

find the mean, median, and mode of he data set. round to the nearest tenth. 7, 5, 4, 2, 1, 1, 2, 3, 5, 4, 5

SashulF [63]

Hello!

First you need to list the numbers from least to greatest

1, 1, 2, 2, 3, 4, 4, 5, 5, 5, 7

To find the mean you add all the numbers up and divide the sum by the amount of numbers added

1 + 1 + 2 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 7 = 39

39 / 10 = 3.9

The mean is 3.9
------------------------------------------------------------------------------------------------------
To find the median you find the number in the middle

The median is 4
------------------------------------------------------------------------------------------------------
The mode is the number that appears the most

The mode is 5

Hope this helps!

4 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the pair of points (1/3, -1) and ( -2, 9/2)

UkoKoshka [18]

Answer:

$\boxed{m = - \frac{33}{14} }$

Step-by-step explanation:

Use the form below

$\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}$

Where

$m$ is a slope
$(x_1,~y_1)$ and $(x_2,~y_2)$ are the point of the line

So, the slope is

$(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1$

$(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}$

$m = \frac{\frac{9}{2} -(-1)}{-2-\frac{1}{3} }$

$m = \frac{\frac{11}{2} }{\frac{-7}{3} }$

$m = \frac{11}{2} \div (-\frac{7}{3} )$

$m = \frac{11}{2} \times (-\frac{3}{7} )$

$m = - \frac{33}{14}$

Happy to help:)

7 0

3 years ago

Read 2 more answers

What do I need to do and what are the steps

Viktor [21]

So allison spent 3/5 meaning she saved 2/5 because 3/5 + 2/5 = 5/5

change the 2/5 into decimals by 2 ÷ 5 = 0.4

multiply $55 with 0.4
55 x 0.4 = 22

so she ends up saving $22

6 0

2 years ago

Which of the following vectors are orthogonal to (-1,3)? Check all that apply.

Aliun [14]

First vector orthogonal<span> to ⟨−</span>3<span>,4</span>

7 0

3 years ago