Answer:
Step-by-step explanation:
If you call "5x-2x^2+1" an "equation," then you must equate 5x-2x^2+1 to 0:
5x-2x^2+1 = 0
This is a quadratic equation. Rearranging the terms in descending order by powers of x, we get:
-2x^2 + 5x + 1 = 0. Here the coefficients are a = -2, b = 5 and c = 1.
Use the quadratic formula to solve for x:
First find the discriminant, b^2 - 4ac: 25 - 4(-2)(1) = 25 + 8 = 33
Because the discriminant is positive, the roots of this quadratic are real and unequal.
-b ± √(discriminant)
Applying the quadratic formula x = --------------------------------
2a
we get:
-5 ± √33 -5 + √33
x = ----------------- = --------------------- and
2(-2) -4
-5 - √33
---------------
-4
Answer:
192π
Step-by-step explanation:
cylinder volume is base times height
2πr^2 = base = 64π
height = 3
64π*3 = 192π
The equation that the clerk can use to calculate their total bill is t + g.
<h3>How to illustrate the equation?</h3>
From the information given, Yasuda family bought a toy that cost t dollars and a game that cost g dollars.
The equation to calculate their total bills will be:
= t + g
where,
t = cost of toy
g = cost of game.
In this case, the equation that the clerk can use to calculate their total bill is t + g .
Learn more about equations on:
brainly.com/question/2972832
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Answer:
Step-by-step explanation:
∠F=90°, FD = 63 feet, and DE = 71 feet.
That's a right angle triangle also.
measure of ∠E to the nearest degree
sin∠E = 63/71
sin∠E = 0.8873
∠E= sin^-1 0.8873
∠E= 62.5°
