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andriy [413]
3 years ago
5

The number line represents Allie’s scores in the first two rounds of a card game.

Mathematics
1 answer:
olganol [36]3 years ago
7 0

Answer:

Allie gains 4, she loses 4, she has 0 points.

Step-by-step explanation:

The arrow shows it. Round 1 goes 0 to 4. Round 2 goes 4 to 0.

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You read a headline that 1 out of 5 people in the world will log onto a social network Since there at 7 billion people in the wo
Assoli18 [71]

Answer:

1,400,000,000

Step-by-step explanation:

Since there are 7 billion people on the earth, you must divide 7,000,000,000 by 5 and you arrive at the answer of 1,400,000,000.

Hope that helps!

6 0
3 years ago
280 m
Marianna [84]

Answer: C. 1,183m

Step-by-step explanation:

6 0
2 years ago
What are the last three terms of the binomial expansion 32x³ + 80x'y + 80x³y² +
Gnesinka [82]

The last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

<h3>Binomial expansion</h3>

From the question, we are to determine the last three terms of the binomial expansion 32x⁵ + 80x⁴y + 80x³y² + __ + __ + __

The highest power of the expansion is 5

Using the binomial expansion theorem

(m +n)⁵ = m⁵ + 5m⁴n + 10m³n² + 10m²n³ + 5mn⁴ + n⁵

Now, we will determine the values of m and n by comparison

By comparison,

m⁵ = 32x⁵

m⁵ = (2x)⁵

∴ m = 2x

Also,

5m⁴n = 80x⁴y

Divide both sides by 5, to get

m⁴n = 16x⁴y

Put m = 2x into the equation

(2x)⁴n = 16x⁴y

16x⁴n = 16x⁴y

∴ n = y

Thus, the expression being expanded is (2x + y)⁵

By binomial expansion, the expansion of (2x + y)⁵  is

(2x + y)⁵ = (2x)⁵ + 5(2x)⁴y + 10(2x)³(y)² + 10(2x)²(y)³ + 5(2x)(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + (5×16)x⁴y + (10×8)x³(y)² + (10×4)x²(y)³ + (5×2)x(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + 80x⁴y + 80x³y² + 40x²y³ + 10xy⁴ + y⁵

Hence, the last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

Learn more on Binomial expansion here: brainly.com/question/13602562

#SPJ1

8 0
2 years ago
Help Please...<br><br> Factor the expression.<br> 3x^2 - 192
mihalych1998 [28]
The factored expression would look like this : 3(x+8)(x-8)
3 0
3 years ago
Read 2 more answers
Solve the system of equations. −9y+4x−20=0−7y+16x−80=0\begin{aligned} &amp;-9y+4x - 20=0 \\\\ &amp;-7y+16x-80=0 \end{aligned} ​
gulaghasi [49]

Answer:

  • (x, y) = (5, 0)

Step-by-step explanation:

\begin{aligned} &-9y+4x - 20=0 \\ &-7y+16x-80=0 \end{aligned}

Subtract 4 times the first equation from the second:

  (-7y +16x -80) -4(-9y +4x -20) = (0) -4(0)

  29y = 0 . . . . . simplify

  y = 0 . . . . . . . .divide by 29

  4x -20 = 0 . . . . substitute 0 for y in the first equation

  x -5 = 0 . . . . . .divide by 4

  x = 5 . . . . . . . . add 5

The solution to this system is (x, y) = (5, 0).

7 0
3 years ago
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