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2 years ago

How do I mutiply 14(a+5+6b)

Mathematics

2 answers:

OLEGan [10]2 years ago

6 0

Answer:

14a + 70 + 84b

Step-by-step explanation:

Each term in the parenthesis is multiplied by 14, that is

= (14 × a) + (14 × 5) + (14 × 6b)

= 14a + 70 + 84b

padilas [110]2 years ago

4 0

Multiply 14 to each term: 14a+70+84b

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HELP PLEASEEE AND ANSWER FAST!:))

kodGreya [7K]

I don't get it, what are you suppose to do?

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3 years ago

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If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha

castortr0y [4]

$6x^2+x-2=6x^2+4x-3x-2=2x(3x+2)-1(3x+2)\\\\=(3x+2)(2x-1)\\\\3x+2=0\to x=-\frac{2}{3}\\\\2x-1=0\to x=\frac{1}{2}\\\\\alpha=-\frac{2}{3};\ \beta=\frac{1}{2}\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{-\frac{2}{3}}{\frac{1}{2}}+\frac{\frac{1}{2}}{-\frac{2}{3}}=-\frac{2}{3}\cdot\frac{2}{1}-\frac{1}{2}\cdot\frac{3}{2}=-\frac{4}{3}-\frac{3}{4}\\\\=-\frac{16}{12}-\frac{9}{12}=-\frac{25}{12}=-2\frac{1}{12}$

$use\ Vieta's\ formula:\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}=\frac{\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2}{\alpha\beta}-2\\\\\alpha+\beta=\frac{-b}{a};\ \alpha\beta=\frac{c}{a}\\\\\frac{(\alpha+\beta)^2}{\alpha\beta}-2=\frac{\left(\frac{-b}{a}\right)^2}{\frac{c}{a}}-2=\frac{b^2}{a^2}\cdot\frac{a}{c}-2=\frac{b^2}{ac}-2$

$6x^2+x-2\\\\a=6;\ b=1;\ c=-2\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{1^2}{6\cdot(-2)}-2=\frac{1}{-12}-2=-2\frac{1}{12}$

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2 years ago

What is 89,659 rounded to the nearest hundred thousand

Novay_Z [31]

$89.659 \to \boxed{90.000}$

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3 years ago

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Which of the following graph represents the solution set for 5x+38 ≤ 4(2-5x)

Dvinal [7]

Answer:

Option C

Step-by-step explanation:

Given inequality is,

5x + 38 ≤ 4(2 - 5x)

5x + 38 ≤ 8 - 20x [Distributive property]

5x + 20x + 38 ≤ 8 - 20x + 20x [By adding 20x on both the sides of the inequality]

25x + 38 ≤ 8

(25x + 38) - 38 ≤ 8 - 38 [By subtracting 38 on both the sides of the inequality]

25x ≤ -30

$\frac{25x}{25}\leq -\frac{30}{25}$ [Dividing by 25 on both the sides of the inequality]

x ≤ 1.2

Therefore, Option (C) will be the correct graph.

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2 years ago

Which of the following lines is parallel to the line y = 4x - 6?

Dovator [93]

Answer:

d y=4x + 5

Step-by-step explanation:

Is parallel beacause they have the same slope, remember

y=ax + c

where a is the slope of the line

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3 years ago