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1 year ago

50 POINTSSSS!!!!!!! HELP ASAP DONT SCAM PLS

Mathematics

1 answer:

Anit [1.1K]1 year ago

3 0

The factorization of the expression 36x⁴y³ - 16x³y is 4x³y(9xy² - 4)

<h3>Factorization</h3>

Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

To the factor, a number means to break it up into numbers that can be multiplied to get the original number.

In the given expression, 36x⁴y³ - 16x³y can be factorized as

36x⁴y³ - 16x³y = 4x³y(9xy² - 4)

The common factor in the expression is 4x³y

Learn more on factorization here;

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325.4 miles on 17.3 gallons

Zielflug [23.3K]

<span>188 miles per gallon</span>

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3 years ago

I needs help with it

Slav-nsk [51]

Answer:

a) initial height = 0 m

b) 8 s

c) vertex = (4, 32)

maximum height = 32 m

Step-by-step explanation:

<u>Given equation</u>:

$h=-2t^2+16t$

where:

h is the height of the arrow about the ground (in metres)
t is the time (in seconds)

The initial height of the arrow will be at the beginning of its journey, so when t = 0

Substitute t = 0 into the equation and solve for h:

$\implies h=-2(0)^2+16(0)$

$\implies h=0$

Therefore, the initial height of the arrow is 0 m.

The arrow will hit the ground when the height is 0 m.

Substitute h = 0 into the given equation:

$\implies -2t^2+16t=0$

Factor out -2t:

$\implies -2t(t-8)=0$

Therefore:

$\implies -2t=0 \implies t=0$

And:

$\implies t-8=0 \implies t=8$

Therefore, the arrow will hit the ground at 8 seconds.

The vertex is the <u>turning point</u> of a parabola - it's minimum or maximum point.

As the leading coefficient for the given equation is <u>negative</u>, the parabola <u>opens downwards</u> and so its <u>vertex</u> is its <u>maximum point</u>.

There are different ways to find the vertex of a parabola. The easiest way to find the x-coordinate is by calculating the midpoint of the x-intercepts.

We have determined that the arrow has a height of 0 m at 0 seconds and 8 seconds. Therefore, t = 0 and t = 8 are the x-intercepts. The midpoint is halfway between zero and 8, so the midpoint is t = 4

To find the y-coordinate, substitute t = 4 into the equation and solve for h:

$\implies h=-2(4)^2+16(4)$

$\implies h=-32+64$

$\implies h=32$

Therefore, the coordinates of the vertex are (4, 32)

The maximum height is the y-coordinate of the vertex.

Therefore, the maximum height is 32 m

6 0

2 years ago

HELP! Is it A,B,C,or D. i really need help

geniusboy [140]

I believe the answer is C. I could be wrong.

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3 years ago

Read 2 more answers

What is the slope of a line that is perpendicular to the line y=2x-6?

erma4kov [3.2K]

The answer is c because you have to use the slope form equation y=mx+b the m is the slope and the b is the y intercept. <span />

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3 years ago

Which equation represents a proportional relationship?<br> y=x/8 <br>y=-6 <br>y=2x+7 <br>y=5x+10

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Step-by-step explanation: hopes this helps

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3 years ago