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OlgaM077 [116]
3 years ago
5

Find the value of x.

Mathematics
1 answer:
Airida [17]3 years ago
5 0

Answer:

x = 10

Step-by-step explanation:

The 2 chords are equal in length so

7x + 5 = 9x - 15

2x = 20

x = 10

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Since she spent $9.72 and deposited $9.72 her bank balance did not change at all. She basically paid off how much she spent on lunch on Wednesday.
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PLEASE HELP, THIS MY LAST QUESTION. I WILL MARK BRAINLEST.
dalvyx [7]

Answer:

Part 1: 30.35 runners

Part 2: 2024

Step-by-step explanation:

We will need to find an equation that best fits this data

  • The equation of best fit for this data is y = 2.16x - 4291.81

Now in order to figure our part 1, we will need to plug in 2001 for our x value to solve for y and we get:

  • y = 2.16(2001) - 4291.81 which then simplifies to y = 30.35

Then to figure out part 2, we need to plug in 80 (NOT 80,000 because the y-values are in thousands, meaning we only need to use the number 80) for our y-value and solve for x and we get:

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  • Adding 4291.81 to both sides we get: 4371.81 = 2.16x
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7 0
4 years ago
Which equation can be used to find the solution of (1/4)^y+1=64?
amm1812
Y-1=3 it should be
opposite to +1 is -1 so yeah

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3 years ago
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Solve the rational equation: 2x/x-4-2x-5/x^2-10x+24=-3/x-6
jek_recluse [69]

Answer:

D. X=6.08, x=-0.58

Step-by-step explanation:

Given the rational expression

\frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x^2-4x-6x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x(x-4)-6(x-4)} = \frac{-3}{x-6}\\ \\\frac{2x}{x-4}-\frac{2x-5}{(x-4)(x-6)} = \frac{-3}{x-6}\\Rerrange;\\\frac{2x-5}{(x-4)(x-6)}  =  \frac{2x}{x-4}+ \frac{3}{x-6}\\\frac{2x-5}{(x-4)(x-6)}  =  \frac{2x(x-6)+3(x-4))}{(x-4)(x-6)}\\

Cancel out the denominator on both sides

2x-5 = 2x(x-6)+3(x-4)\\Expand\\2x-5 =2x^2-12x+3x-12\\2x-5 = 2x^2-9x-12\\Equate \ to \ zero\\2x^2-9x-12-2x+5 = 0\\2x^2-11x - 7 = 0\\

Factorize

x = -(-11)\pm\frac{\sqrt{(-11)^2-4(2)(-7)} }{2(2)}\\x =  11\pm\frac{\sqrt{121+56} }{4}\\x = 11\pm\frac{\sqrt{177} }{4}\\x = 11\pm\frac{13.3 }{4}\\x = \frac{11+13.3}{4} \ and \ x = \frac{11-13.3}{4} \\x = 6.08 \ and \ - 0.58

Hence the required solution is X=6.08 and -0.58

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