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Phoenix [80]
2 years ago
7

What is the simplified expression for the expression belov

Mathematics
1 answer:
11111nata11111 [884]2 years ago
6 0

Answer: 9x + 17

Step-by-step explanation: Add 4x and 5x and you get 9x. Next take away 15 from 32 and you get 17 therefore the answer wuld be 9x + 17.

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What's 5 - the square root of x + 10 = the square root of 7 - x
Tcecarenko [31]
\bf 5-\sqrt{x+10}=\sqrt{7-x}\impliedby \textit{squaring both sides}
\\\\\\
(5-\sqrt{x+10})^2=(\sqrt{7-x})^2
\\\\\\
(5^2)-10\sqrt{x+10}+(x+10)=7-x
\\\\\\
35-10\sqrt{x+10}+x=7-x\implies 28-10\sqrt{x+10}+2x=0
\\\\\\
2x+28=10\sqrt{x+10}\implies x+14=5\sqrt{x+10}\impliedby 
\begin{array}{llll}
squaring\ both\\
sides\ again
\end{array}
\\\\\\


\bf (x^2)+28x+(14^2)=5^2(x+10)\implies x^2+28x+196=25x+250
\\\\\\
\begin{array}{lcclll}
x^2&+3x&-54&=0\\
&\uparrow &\uparrow \\
&-6+9&-6\cdot 9
\end{array} \implies (x+9)(x-6)=0\implies 
\begin{cases}
x+9=0\\
\boxed{x=-9}\\
-----\\
x-6=0\\
\boxed{x=6}
\end{cases}
3 0
3 years ago
100 POINTS!!!!!!! I WILL GIVE BRAINLIEST!
abruzzese [7]

Answer:

  • 8.4 miles

Step-by-step explanation:

Let the speed in the morning be s, then in the evening it is s - 4

<u>The distance is equal both directions:</u>

  • 45 min *s = 1 hr 10 min *(s - 4)

<u>Time in hours:</u>

  • 45*1/60*s = (1 + 10*1/60)(s - 4)
  • 3/4s = 7/6s - 7/6*4

<u>Multiply all terms by 12 to clear fraction:</u>

  • 9s = 14s - 56
  • 5s = 56
  • s = 56/5
  • s= 11.2 mph

<u>The distance is:</u>

  • 3/4*11.2 = 0.75*11.2 = 8.4 miles
3 0
3 years ago
Mrs. Cho wrote the following problem on the board. Problem: StartFraction 1 Over x squared EndFraction minus StartFraction 2 Ove
Nastasia [14]

Answer:

c) multiply the numerators, multiply the denominators, and then simplify.

Step-by-step explanation:

3 0
3 years ago
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A charity organization had to sell 18 tickets to their fundraiser just to cover necessary production costs.
meriva

Answer: slope and x-intercept

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3 years ago
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1. What is the median of the following numbers? 36,42,28, 52, 48, 36, 31<br> 36<br> O 42<br> O 48
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The answer is 36 pls mark me brainliest:)
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