f(x) = 8x - 4x2 - 5x - 36 = -4x2 + 3x - 36 The domain for f(x) can be the whole of the Complex field or any subset.
Suppose the height is 15x cm. Then the width is 8x cm. Then the surface area is 2*(15x*8x + 8x*22 + 22*15x) cm2 Therefore 2*(15x*8x + 8x*22 + 22*15x) = 2506 or 15x*8x + 8x*22 + 22*15x = 1253 120x2 + 506x - 1253 = 0 so that x = -529/30 or 13/4 But x cannot be negative so x = 1.75. Therefore, volume = (15*1.75)*(8*1.75)*22 = 8085 cm3
It is: x = 4.5 and so the acute angles are 36 degrees and 54 degrees
y=-2x^2+8x+3
By implication : x2-8x+7 = kx-2 Form a quadratic equation: x2-8x-kx+9 = 0 For a line to be a tangent to the curve it must have two equal roots and the discriminant b2-4ac of the quadratic equation must equal 0. So: (-8-k)2-4*1*9 = 0 (-8-k)2-36 = 0 (-8-k)2 = 36 Square root both sides: -8-k = -/+6 -k = 2 or 14 k = -2 or -14 When k = -2 is substituted into the quadratic equation x will have two equal roots of 3 When k = -14 is substituted into the quadratic equation x will have two equal roots of -3
Area_triangle = base x height x 1/2 ⇒ 36 = (8x) x 4 x 1/2 ⇒ 8x = 18 ⇒ x = 21/4 (= 2.25)
8x-36 equal = -28
square root of 8x = 2.82842712
If: -8x+4 = 36 then the value of x works out as -4 Check: -8*(-4)+4 = 36
√(10x) * √(8x) = √(80x²)√(80x²) = √(16x²) * √(5) = 4x*√(5)■
The GCF of 8x and 12x2 is 4x.
length = 56 with = 48Improved Answer:Presumably your question is about finding the dimensions of a rectangle?If so then let the length be (x+8) the width be x and the square be x2:(x+8)*x = x2+160 square feetx2+8x = x2+160x2-x2+8x = 1608x = 160x = 20Therefore: length = 28 feet and width = 20 feetCheck: 28*20 = 400+160 = 560 square feet
The GCF is 4.
f(x) = 8x - 4x2 - 5x - 36 = -4x2 + 3x - 36 The domain for f(x) can be the whole of the Complex field or any subset.
5x+49 = 8x+13 49-13 = 8x-5x 36 = 3x x = 12
5x - 4 + 3x = 36 Simplify: 8x - 4 = 36 Add 4 to both sides: 8x = 40 Divide both sides by 8: x = 5
Assuming you mean:(4x+36)(8x-40) = 0 then you can use the property that a product can only be zero if one of its factors is zero. In other words, you can change this to: 4x + 36 = 0 OR 8x - 40 = 0 Solve each of the individual solutions; their solutions are also solutions to the original equation.