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2 years ago

Does Anyone Know How To Do This? Please help me

Mathematics

1 answer:

ad-work [718]2 years ago

7 0

Answer:(0,4,3i,-3i)

Step-by-step explanation:

x²(x²+9)-4x(x²+9)=0

(x²-4x)(x²+9)=0

x(x-4)=0

x₁=0

x₂=0+4=4

x₃=√-9=3i

x₄=√-9=-3i

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Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than

leonid [27]

0.75x+0.8(x + 10) = 101

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2 years ago

Evaluate the following expression 30x^2y x=-2/5 y=5/8

meriva

30(-2/5)²(5/8) = 30*(4/25)*(5/8) = 30*4/(5*8) = 3

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2 years ago

Problem How many numbers between 111 and 100100100 (inclusive) are divisible by 101010 or 777?

olga2289 [7]

I suspect you meant

"How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?"

• Count the multiples of 10:

⌊100/10⌋ = ⌊10⌋ = 10

• Count the multiples of 7:

⌊100/7⌋ ≈ ⌊14.2857⌋ = 14

• Count the multiples of the LCM of 7 and 10. These numbers are coprime, so LCM(7, 10) = 7•10 = 70, and

⌊100/70⌋ ≈ ⌊1.42857⌋ = 1

(where ⌊x⌋ denotes the "floor" of x, meaning the largest integer that is smaller than x)

Then using the inclusion/exclusion principle, there are

10 + 14 - 1 = 23

numbers in the range 1-100 that are divisible by 10 or 7. In other words, add up the multiples of both 10 and 7, then subtract the common multiples, which are multiples of the LCM.

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2 years ago

Solve the following system of equations graphically on the set of axes below.

Rama09 [41]

Answer:

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Step-by-step explanation:

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1 year ago

A farmer is constructing a rectangular pen with one additional fence across its width. Find the maximum area that can be enclose

konstantin123 [22]

The maximum area of the pen is the highest area the pen can have

The maximum area is 16200 square yards

Let the dimension be x and y.

So, the perimeter is given as:

$\mathbf{P = 360}$

Because it has one additional fence, the perimeter is calculated as:

$\mathbf{2x + y = 360}$

Make y the subject

$\mathbf{y = 360 - 2x}$

The area is calculated as:

$\mathbf{A = xy}$

Substitute $\mathbf{y = 360 - 2x}$

$\mathbf{A = x(360 -2x)}$

Expand

$\mathbf{A = 360x -2x^2}$

Differentiate

$\mathbf{A' = 360 -4x}$

Set to 0

$\mathbf{360 -4x = 0}$

Rewrite as:

$\mathbf{4x = 360}$

Divide both sides by 4

$\mathbf{x = 90}$

Substitute 90 for x in $\mathbf{A = 360x -2x^2}$

$\mathbf{A = 360 \times 90 - 2 \times 90^2}$

$\mathbf{A = 16200}$

Hence, the maximum area is 16200 square yards