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zhannawk [14.2K]
3 years ago
8

Solve for x.

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0
The answer to the question is a

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1. What is the slope of the line in the graph shown below?
Agata [3.3K]
1. Answer( -2)
2. Answer is D. 4/3
3. Answer is either A or B
3 0
3 years ago
Read 2 more answers
If 3x-y=123x−y=123, x, minus, y, equals, 12, what is the value of \dfrac{8^x}{2^y} 2 y 8 x ​ start fraction, 8, start superscrip
julia-pushkina [17]

Answer:

2^{12}=4,096

Step-by-step explanation:

You know that 3x-y=12 and have to find

\dfrac{8^x}{2^y}

Use the main properties of exponents:

1. (a^m)^n=a^{m\cdot n}

2. \dfrac{a^m}{a^n}=a^{m-n}

Note that

8=2^3,

then

7^x=(2^3)^x=2^{3\cdot x}=2^{3x}

Now

\dfrac{8^x}{2^y}=\dfrac{2^{3x}}{2^y}=2^{3x-y}

Since 3x-y=12, then 2^{3x-y}=2^{12}=4,096

3 0
3 years ago
Read 2 more answers
The four-member math team at Pecanridge Middle School is chosen from the math club, which has three girls and five boys. How man
cestrela7 [59]

Answer:

Total\ Selection = 30\ ways

Step-by-step explanation:

Given

Girls = 3

Boys = 5

Required

How many ways can 2 boys and girls be chosen?

The keyword in the question is chosen;

This implies combination and will be calculated as thus;

Selection =\  ^nC_r = \frac{n!}{(n-r)!r!}

For Boys;

n = 5 and r = 2

Selection =\  ^5C_2

Selection = \frac{5!}{(5-2)!2!}

Selection = \frac{5!}{3!2!}

Selection = \frac{5 * 4 * 3!}{3!*2 * 1}

Selection = \frac{20}{2}

Selection = 10

For Girls;

n = 3 and r = 2

Selection =\  ^3C_2

Selection = \frac{3!}{(3-2)!2!}

Selection = \frac{3!}{1!2!}

Selection = \frac{3 * 2!}{1 *2!}

Selection = \frac{3}{1}

Selection = 3

Total Selection is calculated as thus;

Total\ Selection = Boys\ Selection * Girls\ Selection

Total\ Selection = 10 * 3

Total\ Selection = 30\ ways

5 0
4 years ago
Find each f(c) using synthetic substitution.
love history [14]

f(3) = 69

Step-by-step explanation:

Given  f(x) =5x5 + 10x4 + 3x3 + 8x2 – 6x – 3; c = 3

f(x) = 25+40+9+16 - 6x - 3

f(x)  = - 6x +90-3

f(x) =  - 6f(3) = 69x + 87

Taken c = 3

f(c) =  - 6c +90-3

f(c) =  - 6c + 87

substitute c=3

f(3) =  - 6 (3) +90-3

     = -18 +87

      = 69

Hence .,f(3) = 69

3 0
3 years ago
Read 2 more answers
Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartF
zubka84 [21]

Answer:

(B)The equation has one solution: x = 0.

Step-by-step explanation:

The equation Kate is solving is: \dfrac{2}{3} (6x-3)=\dfrac{1}{2}(6x-4)

\dfrac{2(6x-3)}{3}=\dfrac{(6x-4)}{2}\\\dfrac{2*3(2x-1)}{3}=\dfrac{2(3x-2)}{2}\\4x-2=3x-2\\$Adding two both sides$\\4x=3x\\4x-3x=0\\x=0

Therefore, the equation has one solution: x = 0.

4 0
4 years ago
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