Mathematics, 09.07.2021 17:20 anthonylopez1

What quadratic expression represents (2x+5)(7-4x) a.-8x^2+6x-35
b.-8x^2-34x+35
c.-8x^2+34x-35
d.-8x^2-6x+35

Answers: 3

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Answers

Answer from: fatty18

Answer :) $\sf{(2x+5)(7-4x) }$ $\sf{2x(7-4x)+5(7-4x) }$ $\sf{14x-8x^{2}+35-20x }$ $\sf{ -8x^{2}-6x+35 }$

$\\\\\\$

Therefore

$\sf{Option~ D ~is ~correct }$

$\sf{ }$

$\sf{ }$ $\sf{ }$ $\sf{ }$ $\sf{ }$ $\sf{ }$

Answer from: deaishaajennings123

-8x² -6x + 35

Step-by-step explanation:

A expression is given to us and we need to find out the quadratic equation . For that Multiply the two terms of the quadratic equation. The given expression is ,

Given expression :-

$\rm\implies ( 2x +5)( 7 - 4x )$

Multiply the terms :-

$\rm\implies 2x ( 7 - 4x )+5(7-4x)$

Simplifying the brackets :-

$\rm\implies 14x - 8x^2 + 35 - 20x$

Rearrange and simplify :-

$\rm\implies -8x^2 -6x + 35$

Therefore :-

$\rm\implies\boxed{ \rm Quadratic\ Equation \ = -8x^2 -6x + 35}$

Answer from: Quest

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram. we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2. so it's not a square or a rhombus.

we check the dot product of direction vectors of adjacent sides. we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular. we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

Answer from: Quest

{x = -1/2 , y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer: {x = -1/2 , y = -1

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What quadratic expression represents (2x+5)(7-4x) a.-8x^2+6x-35
b.-8x^2-34x+35
c.-8x^2+...

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