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Galina-37 [17]
3 years ago
12

Y=2x+4 use in a graph

Mathematics
1 answer:
AlekseyPX3 years ago
6 0
The slope is 2 and the y intercept is 4
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3x + 2 y = 8<br> 5x + 2 y = 12<br> What is the solution of the system of equations shown above?
Arisa [49]

Answer:

x = -3

Step-by-step explanation:

First solve it:

Subtract the x's from both sides

2y = -3x +8

2y = -5x +2

Divide by two

y= -1.5x + 4

y = -2.5x +1

set them equal to each other:

-1.5x +4 = -2.5x +1

Add 2.5 x to both sides

1x +4 = 1

x +4 = 1

subtract 4 from both sides

x = -3

5 0
2 years ago
(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials
Anika [276]

Answer:

2x + 1

Step-by-step explanation:

\frac{(2x² - 5x-3)}{(x - 3)}

Factor out 2x² - 5x-3

\frac{(2x + 1)(x - 3)}{x - 3}

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0
2 years ago
Find the Volume of this Octagonal Pyramid.<br> "B" represents the Area of the octagon base.
Dominik [7]

Answer:

7.06 x 10^(-7) ft 3

Step-by-step explanation:

We have the formula to calculate the volume of an octagonal Pyraamid as following:

<em>+) Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>

As given, the base of the pyramid is an octagon with area equal to 15mm2

=> Area of the base = 15 mm2

The height of the pyramid is the length of the line segment which is perpendicular to the base - which is the red line.

=> Height = 4mm

So we have:

<em>Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>

<em>= 1/3 * 15 * 4 = 20 mm3</em>

<em />

As: 1 mm3 = 3.53 x 10^(-8) ft 3

=> 20 mm3 = 7.06x10^(-7) ft 3

So the volume of the pyramid is :  7.06 x 10^(-7) ft 3

6 0
3 years ago
P(Q) = 12/17<br> P(R) = 3/8<br> If Q and Rare independent events, find the PQ and R).
kodGreya [7K]

Answer:

9/34

Step-by-step explanation:

P(QnR) = P(Q) * P(R)

= 12/17 * 3/8

= 9/34

6 0
2 years ago
Priya volunteers at her local library 5 days each week. The round-trip distance from her home to the library is 0.87 miles. How
Sphinxa [80]

Answer:

"Starting today, I need to forget what's gone. Appreciate what still remains and look forward to what's coming next."

"Pain makes you stronger, fear makes you braver, heartbreak makes you wiser."

"I will not allow myself to not feel chosen every single day. And I’ll wait till whenever that is." — Hannah Brown

"Sometimes good things fall apart so better things can come together."

"Live for what today has to offer, not for what yesterday has taken away."

"Accept what is, let go of what was, and have faith in what will be."

"Don't be afraid to start over. It’s a brand new opportunity to rebuild what you truly want."

"Inhale the future, exhale the past."

"Don’t cry because it’s over, smile because it happened."

6 0
3 years ago
Read 2 more answers
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