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Zinaida [17]
2 years ago
6

What is the solution to the system of equations graphed below?

Mathematics
1 answer:
sweet [91]2 years ago
5 0

Answer:

\text{B. }(2, -3)

Step-by-step explanation:

\begin{cases}y=2x-7,\\y=-x-1\end

Since y=y:

2x-7=-x-1,\\3x=6,\\x=2

Solving for y:

y=2(2)-7=4-7=-3

Verify that the point of intersection occurs at \boxed{(2, -3)}\checkmark

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Fill in the Blank:
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Answer:

The exponent of the second term (b) starts with 0 (b0 = 1) and then increases by one in each following term until it is equal to the exponent of the binomial (5).

Step-by-step explanation:

6 0
2 years ago
A die is rolled 20 times. given that three of the rolls came up 1, five came up 2, four came up 3, two came up 4, three came up
Serjik [45]

Solution:

Number of times a die is rolled = 20

1 - 3=A

2 - 5=B

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4 - 2=D

5 - 3=E

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Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times

            = Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes

= 6! × [ 3! × 5! × 4!×2!×3!×3!]

= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]

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8 0
3 years ago
31.8 miles/hr= ? Feet/sec
PSYCHO15rus [73]
1 mi = 5280 ft
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therefore:

31.8\ \dfrac{mi}{h}=31.8\cdot\dfrac{5280}{3600}\ \dfrac{ft}{s}=46.64\ \dfrac{ft}{s}

Answer: 31.8 mi/h = 46.64 ft/s
6 0
3 years ago
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