Five-eighths of sixty four

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Answer 1

Answer: 5/8 of 64 is 40.

multiply 5/8 by 64. 8 goes into 64, 8 times. so cross out the 8 on the bottom of 5/8 and cross out 64 and put 8. You are left with 5 x 8 = 40.

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What is the check for this equation?4(1 - x) + 3x = -2(x + 1)
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The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.

Find the real or imaginary solutions of the equation by factoring. x^4-8x^2=-16

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ANSWER
$x=2$ or $x=-2$
EXPLANATION

The given equation is
${x}^(4) - 8 {x}^(2) = - 16.$

We set everything equal to zero to obtain,

${x}^(4) - 8 {x}^(2) + 16 = 0$

We rewrite the leading term to obtain,

${( {x}^(2) )}^(2) - 8( {x}^(2)) + 16 = 0$

This has now become a quadratic equation in
${x}^(2)$

We split the middle term to get,

${( {x}^(2) )}^(2) - 4 {x}^(2)- 4x^2+ 16 = 0$

We factor to get,

${x}^(2) (x^2-4)-4( {x}^(2)-4) = 0$

We factor further to get,

$( {x}^(2) -4)(x^2-4)= 0$

This gives

$( x-2)(x+2)(x-2)(x+2)= 0$

$( x-2)^2(x+2)^2= 0$

$x=2$ or $x=-2$

Right an equation that represents the line that passes through the points (5,4) and (-5,0)

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4/5+5=4/10=2/5
2/5 is the slope or m
2/5x+b=y
-10/5+b=0
-2+b=0
2-2=0
2 would be the y intercept known as b
2/5x+2=y

FizzFizz soda comes in two varieties, regular and diet. If a researcher has 4 boxes of each, how many ways can he select 2 boxes of each for a quality control test?

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Answer:

Let {A, B, C, D} be the set of boxes of regular sodas and {a, b, c, d} be the set of boxes of diet sodas. Denote $_MC_P$ the numbers of combinations of M boxes taken P boxes. Note that the specific combination, for example, AB from the set of boxes of regular sodas is the same as the combination BA. The number of ways to pick 2 boxes from each category is $_4C_2$ . Hence, the number of ways of picking 4 boxes in which he pick 2 boxes from each category is $_4C_2$ * $_4C_2$ = 6*6 = 36.

Help plsss I’m a little confused
We started this today :/

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We can’t see the question

I can’t see the question later

Charla has six segments with which to make two triangles. The segments lengths are 2 in., 3 in., 4 in., 5 in., 6 in., and 7 in. Which are possible side lengths of her two triangles?