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4 years ago

What value is added to both sides of the equation x2 − 8x = −10 in order to solve by completing the square? −8 16 −4 4?

1 answer:

7 0

X^2 - 8x = -10 .....u would add 16 to both sides
x^2 - 8x + 16 = -10 + 16

take half of ur x term, ur x term is -8, half of it is -4, then u square it...-4^2 = 16, and that is what u add to both sides

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What is 4 less than the quotient of twice a number and 3 translated to an algebraic expression?

Drupady [299]

Answer:

(2x/3) - 4

Step-by-step explanation:

"twice a number" ---> 2x

"quotient of twice a number and 3" ---> 2x/3

"4 less than" --> (2x/3) - 4

Could also be written as (2/3)x - 4

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3 years ago

Which expression is equivalent to 4(x^3)(2x)^-4

AVprozaik [17]

Answer:

= $\frac{4x^{3}}{16 x^{4}}$

Step-by-step explanation:

$4(x^{3} )(2x)^{-4}$

= $\frac{4x^{3}}{(2x)^{4}}$

= $\frac{4x^{3}}{2^{4} x^{4}}$

= $\frac{4x^{3}}{16 x^{4}}$

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3 years ago

Iko paid $176 total for a premium streaming video service that costs $16 per month. How many months did Iko

EastWind [94]

Answer:

Step-by-step explanation:

176 divided by 16 is 11

5 0

3 years ago

Read 2 more answers

Hi im having troble cobineing like terms -10a - 9n + 16 - 30 + 3n + 15a + 50 + a

goldenfox [79]

Answer:

6a-6n+36

Step-by-step explanation:

-10a-9n+16-30+3n+15a+50+a

Combine a...

-10a+15a= 5a+a=6a

Combine n...

6a-9n+16-30+3n+50

-9n+3n= -6n

6a-6n+ 16-30+50

Combine # w no variable

Answer: 6a-6n+36

5 0

3 years ago

Read 2 more answers

Sanjaya is making punch. He uses LaTeX: \frac{1}{3}1 3 c of pineapple juice for every LaTeX: \frac{3}{4}3 4 c of orange juice. H

lord [1]

Answer: $1\dfrac13$ cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

$\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

$x_1=\dfrac13\$ , $y_1=\dfrac34$ , $y_2=3$

Put these values in an equation we get

$\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13$

Hence, he needs $1\dfrac13$ cups of pineapple juice .

8 0

3 years ago