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Leokris [45]
3 years ago
10

Multiply and simplify.

Mathematics
2 answers:
Rasek [7]3 years ago
6 0
Expand the following:
(2 x - 3) (x^2 + 4 x - 6)

 | | | | 2 x | - | 3
 | | x^2 | + | 4 x | - | 6
 | | | | -12 x | + | 18
 | | 8 x^2 | - | 12 x | + | 0
2 x^3 | - | 3 x^2 | + | 0 | + | 0
2 x^3 | + | 5 x^2 | - | 24 x | + | 18:

Answer: 2 x^3 + 5 x^2 - 24 x + 18
kupik [55]3 years ago
5 0
Hello there!

(2x - 3)(x² + 4x - 6)

Start by using the distributive property

=(2x)(x²) + (2x)(4x) + (2x)(-6) + (-3)(x²) + (-3)(4x) + (-3)(-6)

= 2x³ + 8x² - 12x - 3x² - 12x + 18

= 2x³ + 5x² - 24x + 18


As always, it is my pleasure to help students like you!
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Algebra 2 Math question Grade 11
Paha777 [63]

Answer:

\displaystyle y=\frac{4}{5}x+\frac{13}{5}

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

The points are (3,5) and (-2,1):

\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}

The equation is now:

\displaystyle y=\frac{4}{5}x+b

To calculate b, we use any of the given points and solve for b. Use (3,5):

\displaystyle 5=\frac{4}{5}3+b

Operate:

\displaystyle 5=\frac{12}{5}+b

Solve:

\displaystyle b=5-\frac{12}{5}=\frac{13}{5}

The required equation of the line is:

\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}

3 0
3 years ago
Solve for m. Express your answer as an integer or integers or in simplest radical
Elodia [21]

Answer: (5m2 + 9) • (m - 1)

Step-by-step explanation:

4 0
2 years ago
(HELP PLEASE I BEG)The amount of money that Maria had in a savings account at the beginning of 2018 was $2,750. At the beginning
maks197457 [2]

Step-by-step explanation:

First, you need to find the difference 3201-2750=451, it has increased by 451, then divide the difference by the original number, which is 2750 because thats what she started off with (3201 would be the new number)

Increase% = Increase ÷ Original Number ×100

451÷2750×100=16.4%

7 0
3 years ago
Graph on a coordinate plane or explain how to graph the equation: y = 3x – 5
Vinvika [58]

Answer:

Step-by-step explanation:

Just substitute any values of x so that you can graph it <33

6 0
2 years ago
What Is The Answer<br>k3 - 4j +12, when k=8, j=2​
Nady [450]

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

8 0
3 years ago
Read 2 more answers
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