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3 years ago

1. A shipping box has the

Mathematics

2 answers:

inysia [295]3 years ago

4 0

Answer:

220.5 in³

Step-by-step explanation:

Volume = L×W×H

Volume = 10.5 in × 7 in × 3 in

Volume = 220.5 in³

notsponge [240]3 years ago

3 0

Answer:

220.5CM ^3

Step-by-step explanation:

vOLUME = L*W*H

= 10.5*7*3

=220.5

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Factor the polynomial completely. Use synthetic division. F(x) = x^3-7x-6

aleksklad [387]

Answer:

The factors of given polynomial x =-1 , -2 and x =3

Step-by-step explanation:

Step(i):-

Given the polynomial

f(x) = x³ - 7x -6

put x =-1

f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

x³ x² x constant

x=-1 ↓ 1 0 -7 -6

↓ 0 -1 1 6

1 -1 -6 0

The polynomial x² - x - 6

Step(ii):-

The factors ( x+1)(x² - x - 6 ) = 0

x = -1 and x² - x - 6 =0

x =-1 and x² - 3x + 2 x - 6 =0

x =-1 and x (x -3) + 2( x-3) =0

x =-1 and (x+2)(x-3) =0

Final answer:-

The factors of given polynomial x =-1 , -2 and x =3

6 0

3 years ago

Sonya drops a marble while standing on a deck 7 7/8 feet above the ground. The marble falls 4 1/4 feta from Sonya's hand to the

Greeley [361]

Answer:

$12\dfrac{1}{8}\ feet$

Step-by-step explanation:

Sonya drops a marble while standing on a deck $7 \dfrac{7}{8}$ feet above the ground.

The marble falls $4 \dfrac{1}{4}$ feet from Sonya's hand to the deck, and then rolls and falls to the ground.

So, the ball falls $4 \dfrac{1}{4}$ feet from Sonya's hand to the deck and $7 \dfrac{7}{8}$ from the deck to the ground, in total

$4\dfrac{1}{4}+7\dfrac{7}{8}=4\dfrac{2}{8}+7\dfrac{7}{8}=(4+7)+\dfrac{2+7}{8}=11+\dfrac{9}{8}=11+1\dfrac{1}{8}=12\dfrac{1}{8}\ feet$

8 0

3 years ago

Read 2 more answers

What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that $m_1 * m_2 = -1$

Where m_1 = 3 and m_2 is the slope of the secodnd line

$m_1 * m_2 = -1$ becomes

$3 * m_2 = -1$

Divide both sides by 3

$\frac{3 *m_2}{m_2} = \frac{-1}{3}$

$m_2 = \frac{-1}{3}$

The equation of the line can be calculated using the folloing formula

$m = \frac{y - y_1}{x - x_1}$

Where $(x_1, y_1) = (12,-6)$ and $m_2 = \frac{-1}{3}$

The equation becomes

$\frac{-1}{3} = \frac{y -- 6}{x - 12}$

$\frac{-1}{3} = \frac{y + 6}{x - 12}$

Cross multiply

$-(x - 12)= 3(y + 6)$

$-x + 12=3y + 18$

Collect like terms

$12 - 18 = 3y +x$

$-6 = 3y + x$

$3y + x = -6$

4 0

3 years ago

Giving brainliest, 50 points (answer both questions with solutions)

Helga [31]

Answer:

your answer in ☝️ this photo

plz Mark my answer in brainlist

5 0

3 years ago

Read 2 more answers

Hello, i am having a hard time solving this. If anyone can please explain how to solve it in order for me to solve future questi

lora16 [44]

Answer:

Step-by-step explanation:

7 0

2 years ago