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Vanyuwa [196]
3 years ago
8

PLEASE ANSWER AND EXPLAIN I’LL MARK BRAINLIEST

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer/Step-by-step explanation:

a. x(x - 3) + 2(x - 3)

x*x + x*-3 + 2x + 2*-3 (distributive property)

x² - 3x + 2x - 6

Add like terms

x² - x - 6

b. 2x(x - 4) -3(x - 4)

2x*x + 2x*-4 -3*x -3*-4 (distributive property)

2x² - 8x - 3x + 12

Add like terms

2x² - 11x + 12

c. x(x - 2) + 2(x - 2)

x*x + x*-2 + 2*x + 2*-2 (distributive property)

x² - 2x + 2x - 4

Add like terms

x² - 0 - 4

x² - 4

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If 5 gallons cost $ 6.60 how much do 29 gallons of gasoline cost​
ikadub [295]

Answer:

Should be 38.28

Step-by-step explanation:

Dividing 6.60 by 5 is $1.32, aka the cost of one gallon. multiply by 29, answer is that it costs $38.28 to get 29 gallons of gasoline.

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2 years ago
Find ,H assuming the triangles formed are similar.
Murljashka [212]

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15

Step-by-step explanation:

if you divide 20 by 8, then you get 2.5. multiply that by six, and you get your answer.

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3 years ago
What is the quotient if the dividend is 2286 and the divisor is 6
Anna11 [10]

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3 years ago
The region bounded by y=x^2+1, y=x, x=-1, x=2 with square cross sections perpendicular to the x-axis.
VLD [36.1K]

Answer:

The bounded area is 5 + 5/6 square units. (or 35/6 square units)

Step-by-step explanation:

Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)

Such that f(x) > g(x) in the given interval.

This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).

We want to find the area bounded by:

f(x) = y = x^2 + 1

g(x) = y = x

x = -1

x = 2

To find this area, we need to f(x) - g(x) between x = -1 and x = 2

This is:

\int\limits^2_{-1} {(f(x) - g(x))} \, dx

\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx

We know that:

\int\limits^{}_{} {x} \, dx = \frac{x^2}{2}

\int\limits^{}_{} {1} \, dx = x

\int\limits^{}_{} {x^2} \, dx = \frac{x^3}{3}

Then our integral is:

\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx = (\frac{2^3}{2}  + 2 - \frac{2^2}{2}) - (\frac{(-1)^3}{3}  + (-1) - \frac{(-1)^2}{2}  )

The right side is equal to:

(4 + 2 - 2) - ( -1/3 - 1 - 1/2) = 4 + 1/3 + 1 + 1/2 = 5 + 2/6 + 3/6 = 5 + 5/6

The bounded area is 5 + 5/6 square units.

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3 years ago
In which quadrant would point (-4.5, -4.5) be located
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It’s the 3rd one.. . i’m
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