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horsena [70]
3 years ago
8

Solve 18q – 2q2 = 0​

Mathematics
2 answers:
iogann1982 [59]3 years ago
6 0

Answer:

q = 0, q = 9

Step-by-step explanation:

Given

18q - 2q² = 0 ← factor out 2q from each term

2q(9 - q) = 0

Equate each factor to zero and solve for q

2q = 0 ⇒ q = 0

9 - q = 0 ⇒ q = 9

3241004551 [841]3 years ago
3 0

Answer:q=9

Step-by-step explanation:

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260 feet. 55+55=110, 75+75=150, 150+110=260
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Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of th
vladimir2022 [97]

Answer:

The two numbers are:

x = 500

y = 125

Step-by-step explanation:

We want to find two numbers x and y, such that:

x + 4*y = 1000

f(x, y) = x*y is maximum.

From the first equation, we can isolate one of the variables to get

x = 1000 - 4y

now we can replace it in f(x, y):

x*y = (1000 - 4*y)*y  = 1000*y - 4*y^2

So now we want to maximize the function:

f(y) =- 4*y^2 + 1000*y

where y must be an integer.

Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.

Remember that for a general quadratic equation:

y = a*x^2 + bx + c

the x-value of the vertex is:

x = -b/(2*a)

so, in the case of:

f(y) =- 4*y^2 + 1000*y

the y-value of the vertex will be:

y = -1000/(2*-4) = 1000/8 = 125

So we found the value of y.

now we can use the equation:

x = 1000 - 4*y

x = 1000 - 4*125 = 1000 - 500 = 500

x = 500

Then the two numbers are:

x =500

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6 0
2 years ago
What is the difference between -4 and 6
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<em>answer =  - 10 \\ solution \\  - 4 - 6 \\  =  - 10 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment</em>

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3 years ago
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I NEED HELP ASAP
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Alright, lets get started.

If the polygon measures 45 degree exterior angle and we are asked to find number of sides, there is a formula for that.

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Where n is number of sides of ploygon

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Multiplying n into both sides

\frac{360}{n} * n = 45 n

360 = 45 n

Now divide 45 in both sides

\frac{360}{45}  = \frac{45n}{n}  = n = 8

n = 8

Means number of sides of polygon is 8, hence its Octagon. Answer

Now we have given 45 exterior angle hence interior angle would be

180 - 45 = 135°

So, sum of all interior angles would be = number of sides * interior angle

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Hope it will help :)

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