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mars1129 [50]
3 years ago
5

2/7x-23)+5x = 18 (x-1)​

Mathematics
1 answer:
Blizzard [7]3 years ago
6 0

Answer:

x= - 35 over 89

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2

7

x−23+5x=18(x−1)

2

7

x+−23+5x=(18)(x)+(18)(−1)(Distribute)

2

7

x+−23+5x=18x+−18

(

2

7

x+5x)+(−23)=18x−18(Combine Like Terms)

37

7

x+−23=18x−1837

7

x−23=18x−18

Step 2: Subtract 18x from both sides.

37

7

x−23−18x=18x−18−18x

−89

7

x−23=−18

Step 3: Add 23 to both sides.

−89

7

x−23+23=−18+23

−89

7

x=5

Step 4: Multiply both sides by 7/(-89).

(

7

−89

)*(

−89

7

x)=(

7

−89

)*(5)

x=

−35

89

Step-by-step explanation:

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5 0
3 years ago
A coin is tossed 5 times. Find the probability that all are heads. Find the probability that at most 2 are heads.
fenix001 [56]

Answer:

1/32

15/32

Step-by-step explanation:

For a fair sided coin,

Probability of heads, P(H) = 1/2

Probability of tails P(T)  = 1/2

For a coin tossed 5 times,

P( All heads)

= P(HHHHH),

= P (H) x P(H) x P(H) x P(H) x P(H)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/32 (Ans)

For part B, it is easier to just list the possible outcomes for

"at most 2 heads" aka "could be 1 head" or "could be 2 heads"

"One Head" Outcomes:

P(HTTTT), P(THTTT) P(TTHTT), P(TTTHT), P(TTTTH)

"2 Heads" Outcomes:

P(HHTTT), P(HTHTT), P(HTTHT), P(HTTTH), P(THHTT), P(THTHT), P(THTTH), P(TTHHT), P(TTHTH), P(TTTHH)

If we count all the possible outcomes, we get 15 possible outcomes representing "at most 2 heads)

we know that each outcome has a probability of 1/32

hence 15 outcomes for "at most 2 heads" have a probability of

(1/32) x 15  = 15/32

8 0
3 years ago
Read 2 more answers
The graph of part of linear function p is shown on the grid.
Rufina [12.5K]

Answer:

A

Step-by-step explanation:

The domain of a function is the span of x-values covered by the graph.

From the graph, we can see that it stretches from x=-7 to x=2.

However, note that at x=-7, the dot is closed (shaded in). In other words, x=-7 <em>is</em> in our domain.

On the other hand, at x=2, the dot is not shaded. So, x=2 is <em>not</em> included in our domain.

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4 0
3 years ago
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motikmotik

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