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2 years ago

Select the correct answer.

Mathematics

1 answer:

yan [13]2 years ago

6 0

<h2>Simplifying Polynomial Expressions</h2>

To simplify a polynomial expression, we can expand parentheses by multiplying the terms within with the coefficient outside of them and add like terms.

<h2>Solving the Question</h2>

$3x(-2x + 7) - 5(x - 1)(4x - 3)$

⇒ Open up the parentheses

$=(3x*(-2x) + 3x*7) - 5(x(4x - 3)-1(4x-3))\\=(-6x^2 + 21x) - 5(4x^2 - 3x-4x+3)\\=-6x^2 + 21x - 5(4x^2 - 7x+3)=-6x^2 + 21x - (20x^2 - 35x+15)\\=-6x^2 + 21x - 20x^2 + 35x-15\\=- 26x^2 + 56x-15$

<h2>Answer</h2>

$- 26x^2 + 56x-15$

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What is the answer to 7 or 8???

Eddi Din [679]

Answer:

7. parallel: k = 3

perpendicular: k = -4/3

8. $1300

Step-by-step explanation:

Rewrite each equation as the slope-intercept form of a linear equation:

y = mx + b (where m is the slope and b is the y-intercept)

8y = 12x + 6

⇒ $y=\dfrac32x+\dfrac34$

4y = k(2x + 10)

⇒ 4y = 2kx + 10k

⇒ $y = \dfrac12kx + \dfrac52k$

If the graphs are parallel their slopes will be the same.

$\implies \dfrac32=\dfrac12k$

$\implies k=3$

If the graphs are perpendicular then the product of their slopes will be -1.

$\implies \dfrac32 \times \dfrac12k=-1$

$\implies \dfrac12k=-\dfrac23$

$\implies k=-\dfrac43$

8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).

Choose 2 ordered pairs from the table: (10, 110) and (20, 195)

Let $(x_1,y_1)$ = (10, 110)

Let $(x_2,y_2)$ = (20, 195)

Use the slope formula to find the slope m:

$\implies m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{195-110}{20-10}=\dfrac{17}{2}$

Now use the point-slope form of linear equation:

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

$\implies y-110=\dfrac{17}{2}(x-10)$

$\implies y=\dfrac{17}{2}x+25$

Substitute x = 150 into the equation and solve for y:

$\implies y=\dfrac{17}{2}(150)+25=1300$

Therefore, the total cost of ordereing 150 mugs is $1300

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2 years ago

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MrRissso [65]

We carry out long division:

First, we multiply 2x + 7 by x³ to obtain 2x⁴ + 7x³ and subtract this from the original to get the remainder:
14x³ + 35x² - 37x + 46
Now, we repeat this process and keep the numbers we multiply by and then add them in the end:
Multiply by 7x², remainder:
28x² - 37x + 46
Multiply by 14x, remainder:
-135x + 46
Multiply by -67.5, remainder:
326.5

The answer is x³ + 7x² + 14x - 67.5 with a remainder of 326.5

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3 years ago

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katrin2010 [14]

Answer:

Step-by-step explanation:

8x6=48

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3 years ago

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Mars2501 [29]

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Step-by-step explanation:

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3 years ago

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MakcuM [25]

Answer:

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Step-by-step explanation:

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3 years ago