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Neko [114]
3 years ago
11

A lottery game requires that 3 different numbers are picked from 1 to 9 if someone picks all 3 winning numbers the person wins 9

million complete parts a and b
Mathematics
1 answer:
adell [148]3 years ago
6 0
I need the questions!!
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If the output and input of a linear equation are proportional, where will the graph of the equation cross the x-axis?
mars1129 [50]

Answer:??? I don't know

Step-by-step explanation:

???

5 0
2 years ago
Will give brainliest Please help
statuscvo [17]

Answer:

QR=RS

Step-by-step explanation:

She knows that PRQ=TRS because of vertical angles.

She needs to know the length of the lines QR and RS are equal, that is the line between the two angles.

5 0
3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
Evaluate the determinant for the following matrix: [- 5 1 1 4] A. –21 B. 19 C. –17 D. –24
mariarad [96]

Answer:

-21

Step-by-step explanation:

I assume this is a 2 by 2 matrix.

\begin{bmatrix} -5 & 1\\1 & 4 \end{bmatrix}

determinant = -5 * 4  - 1 * 1 = -20 - 1 = -21

6 0
3 years ago
Read 2 more answers
Given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9
SSSSS [86.1K]

Answer:

f(g(9)) = 945/16

Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

f(g(x)) = x² - 5/2x + 9/16

Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

f(g(9)) = 81 - 45/2 + 9/16

f(g(9)) = 117/2 + 9/16

f(g(9)) = 945/16

7 0
3 years ago
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