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murzikaleks [220]
3 years ago
15

HELP

Mathematics
1 answer:
Zanzabum3 years ago
4 0
By looking at the formula you can see that the quadratic part is 0 if you fill in x=3 (you know, 3-3 = 0). The outcome of the formula then becomes y= 0+5.

That gives us point (3,5) as the top of the parabola. So there you go, answer A.
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Similar triangles and polygons worksheet<br> help with number 1
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Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu
Alecsey [184]

Answer:

) See annex

b) See annex

x  =  0,5 ft

y =  2 ft   and

V = 2 ft³

Step-by-step explanation:  See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x   ⇒ V = (3-2x)²*x    

V(x) =( 9 + 4x² - 12x )*x    ⇒   V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0              ⇒   12x² -24x +9 = 0     ⇒  4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get    x₁  =  1,5       and    x₂ =  0,5

We look at y = 3 - 2x    and see that the value x₂ is the only valid root

then

x  =  0,5 ft

y =    2 ft   and

V = 0,5*2*2

V = 2 ft³

7 0
2 years ago
Inverse of y=(x/2)^2
Lady bird [3.3K]
Tell me if the answer is true or wrong

6 0
3 years ago
When 5x2+2=4x is solved using the quadratic formula, what are the values of a,b, and c?
viktelen [127]

Hey there,

<u>What </u><u>are </u><u>the </u><u>values </u><u>of </u><u>a,</u><u> </u><u>b </u><u>and </u><u>c?</u>

5x² + 2 = 4x

5x² + 2 - 4x = 4x - 4x

5x² - 4x+ 2 = 0

<em>Quadratic </em><em>général </em><em>e</em><em>quation</em><em>:</em>

ax² + bx + c = 0

  • a = 5
  • b = -4
  • c = 2

I hope this helps ✅(◠‿◕)

3 0
2 years ago
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