Question

1) Evaluate u + xy, if u = 18, x = 10,
and y = 8.


2) Solve for x.

Type your answer below. 5(2x−12)=​−90



3) what is the solution to
Y=-2x²+4x+8
Y=-4x+16​

Answer 1

$\bf\purple{QUESTION \: - 1 }$

$\bf\red{SOLUTION}$

• In order to evaluate u + xy,

Follow this following steps:

$\bf \:{given}$

• u = 18, x = 10, y = 8

u + xy = 18 + 10 × 8 = 18 + 80 = 98

• The answer is 98

$\bf\purple{QUESTION \: - 2 }$

$\bf\pink{SOLUTION}$

$\bf\large\boxed{x = -3}$

• Begin by distributing the 5:

$\bf \boxed{5(2x) + 5(-12) = -90}$

$\bf \red{Simplify:}$

$\bf \boxed{10x - 60 = -90}$

• Add 60 to both sides:

$\bf \boxed{10x = -90 + 60}$

$\bf\boxed{10x = -30}$

• Divide both sides by 10:

$\bf \huge\boxed{x = -3}$

$\bf\purple{QUESTION \: - 3}$

$\bf\blue{SOLUTION}$

$\large\boxed{(2, 8)}$

• Solve by setting the two equations equal to each other:

$\bf{-2x² + 4x + 8 = -4x + 16}$

• Move all terms to one side:

$\bf-2x² + 4x + 4x + 8 - 16 = 0$

$\bf \red{Simplify:}$

$\bf{-2x² + 8x - 8 = 0}$

• Factor out a negative 2 from each term:

$\bf{- 2(x² - 4x + 4) = 0}$

$\bf \red{Factor}$

$\bf{-2(x - 2)² = 0}$

• Set the factor equal to 0 to solve:

$(x - 2)² = 0$

$x - 2 = 0$

$\bf \boxed{x = 2}$

• Put this value of x into an equation to find the shared y value:

$\bf \boxed{y = -4(2) + 16 = 8}$

Answer 2

$\bf\purple{QUESTION}$ \: - 1 }

$\bf\red{SOLUTION}$

In order to evaluate

Follow this following steps:

u = 18, x = 10, y = 8

$\bf \:{given}$

u + xy = 18 + 10 × 8 = 18 + 80 = 98

The answer is 98