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3 years ago

Write and simplify the expression for the area of a rectangle with a width of 3 inches and a length that is 8 inches more than x

1 answer:

meriva3 years ago

4 0

3(x+8)
You know that area of a rectangle is length x width. The width you know is 3 and the length is whatever x is plus 8 more inches, therefore it is x+8.

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Brandon buys a radio for $45.29 in a state where the sales tax is 7%. how much does he pay in taxes?

nevsk [136]

Answer:

$3.18 in taxes

Step-by-step explanation:

5 0

3 years ago

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PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, substitute one equation into the other equation and rearrange to equal zero:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}$

Apply the zero-product property to solve for x:

$\implies (x-1)=0 \implies x=1$

$\implies (x-2)=0 \implies x=2$

Therefore, the balloons collided at 1 second and 2 seconds.

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

$f(1)=-6(1)^2 +23(1)+5=22$

$f(2)=-6(2)^2 +23(2)+5=27$

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

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1 year ago

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Help pleasssseeee......(do all pls)

Ugo [173]

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4 0

3 years ago

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ANSWER FREE BRINLIEST!! ANSWER THE TWOO CIRCLED ONES!!

BlackZzzverrR [31]

Answer:

alright for the first one you set them equal o each other while for the second you do the same thing

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Step-by-step explanation:

24/3 is x and x=8

for the second one

18+12 is 30 and 30/6 is 5so the second one is 5'

if you want me to clarify more please comment

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3 years ago

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The height of a building is 943 feet which is about 481 feet higher than another building. What is the height of the second buil

pshichka [43]

Answer: 462

Step-by-step explanation:

943-481

Answer=462

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3 years ago