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Dvinal [7]
2 years ago
9

Find all the zeros of the equation -2x^4+27x^2+1200=0

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
4 0
For this case we have the following polynomial:
 -2x ^ 4 + 27x ^ 2 + 1200 = 0
 To solve the problem we apply the following steps:
 1) We make a change of variables u = x ^ 2
 2) We rewrite the polynomial
 3) Solve the quadratic equation using the formula for the quadratic equation
 4) We return the change and find four roots
 Answer:
 
See attached image for procedure and solution

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If it takes 8 hours for a bus with an average velocity of 65mph to travel from Amarillo to Austin then,
d = 65 (8) = 520 miles

The distance from Amarillo to Austin (or vice versa) is 520 miles.

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d(x) = 80 t
Then, the inverse variation relationship would be
d-1(x) = t = d / 80
Since d = 520
t = 520 / 80
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A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll
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You are planning to buy one of two brands of sofas, which you hope to use over the next twenty years. brand j costs $975 and las
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2 years ago
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Triangle ABC is a right triangle and cos(22.6o)=StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole
Art [367]

Answer:

a = 5 and b = 12

Step-by-step explanation:

<u>Step 1: Find angle B</u>

<em>Angle C = 90°</em>

<em>Angle A = 22.6°</em>

<em>Angle B = B</em>

<em>All angles in a triangle are equal to 180°.</em>

Angle A + Angle B + Angle C = 180°

22.6 + 90 + B = 180°

B = 180 - 112.6

B = 67.4°

<u>Step 2: Find the value of side AC 'b'</u>

<em>Hypotenuse = 13</em>

<em>Adjacent = b</em>

<em>Angle A = 22.6°</em>

Cos (Angle) = Adjacent/Hypotenuse

Cos (22.6) = b/13

b = 12

<u>Step 3: Find the value of side CB 'a'</u>

<em>Hypotenuse = 13</em>

<em>Opposite = a</em>

<em>Angle A = 22.6°</em>

Sin (angle) = Opposite/Hypotenuse

Sin (22.6°) = a/13

a = 4.99 rounded off to 5

Therefore, the value of a=5 and b=12.

!!

8 0
2 years ago
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troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga
GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that

the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

y-y1=m*(x-x1)

where

m is the slope---------> \frac{gallon}{miles}

in this problem the slope is equal to -\frac{1}{21} \frac{gallons}{miles}

it's negative because the tank is going to be consumed

assuming he starts with a full tank

for\ x=0\ y=30\  gal

substitute in the formula above

y-y1=m*(x-x1)\\\\ y-30=-\frac{1}{21}*(x-0)\\\\ y=-\frac{x}{21}+30

therefore

the answer is

the equation y=-\frac{x}{21}+30

8 0
2 years ago
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