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Luden [163]
2 years ago
15

Solve for x . 3(2 x - 3) + 4(2 - x ) = 0 17/10 -17/10 1/2

Mathematics
1 answer:
fiasKO [112]2 years ago
7 0

Answer:

x = \frac{1}{2}

Step-by-step explanation:

3(2x - 3) + 4(2 - x)  = 0 ← distribute parenthesis

6x - 9 + 8 - 4x = 0 , that is

2x - 1 = 0 ( add 1 to both sides )

2x = 1 ( divide both sides by 2 )

x = \frac{1}{2}

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B.\\5x-8y=9\ \ \Rightarrow\ \ -8y=-5x+9\ \ \Rightarrow\ \ \ y=  \frac{5}{8}  x-1 \frac{1}{8} \ \Rightarrow\ \ m_1= \frac{5}{8} \\\\12x-5y=7\ \Rightarrow\ \ -5y=-12x+7\ \ \Rightarrow\ \ y= \frac{12}{5}x-1 \frac{2}{5}  \ \ \Rightarrow\ \ m_2= \frac{12}{5} \\\\m_1\cdot m_2= \frac{5}{8} \cdot  \frac{12}{5}= \frac{3}{2}  \neq -1

C.\\y=2x-7\ \ \Rightarrow\ \ m_1=2 \\\\x+2y=3\ \Rightarrow\ \ 2y=-x+3\ \ \Rightarrow\ \ y= -\frac{1}{2}x+1 \frac{1}{2}\ \ \Rightarrow\ \ m_2=- \frac{1}{2} \\\\m_1\cdot m_2= 2 \cdot (- \frac{1}{2})= -1\ \ \Rightarrow\ \ y=2x-7\ \ \ \ \perp\ \ \ \ x+2y=3


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7 0
3 years ago
A worker is paid $0.07 on the first day, $0.14 on the second day, $0.28 on the third day, and so on. How much is the worker paid
monitta

Answer:

D) Over $4,000,000

Step-by-step explanation:

On the last day, the worker is paid $0.07*2²⁵ (it's by the power of 25 because it's 0 on the first day), which is $2,348,810.24. That means that the amount of money earned on all other days are $2,348,810.37, since 2⁰ + 2¹ + 2² + 2³... + 2ⁿ⁻² + 2ⁿ⁻¹ = 2ⁿ + 1.

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4 0
3 years ago
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8 0
3 years ago
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