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Alenkasestr [34]
3 years ago
15

Simplify the expression: 52 – [30 – 2(7 – x)].

Mathematics
1 answer:
adoni [48]3 years ago
6 0
Let's simplify step-by-step.<span>52−<span>(<span>30−<span>2<span>(<span>7−x</span>)</span></span></span>)

</span></span>Distribute the Negative Sign:<span>=<span>52+<span><span>−1</span><span>(<span>30−<span>2<span>(<span>7−x</span>)</span></span></span>)</span></span></span></span><span>=<span><span>52+<span><span>(<span>−1</span>)</span><span>(30)</span></span></span>+<span><span>−1</span><span>(<span>−<span>2<span>(<span>7−x</span>)</span></span></span>)</span></span></span></span><span>=<span><span><span><span><span>52+</span>−30</span>+</span>−<span>2x</span></span>+14

</span></span>Distribute:<span>=<span><span><span><span><span>52+</span>−30</span>+</span>−<span>2x</span></span>+14

</span></span>Combine Like Terms:<span>=<span><span><span>52+<span>−30</span></span>+<span>−<span>2x</span></span></span>+14</span></span><span>=<span><span>(<span>−<span>2x</span></span>)</span>+<span>(<span><span>52+<span>−30</span></span>+14</span>)</span></span></span><span>=<span><span>−<span>2x</span></span>+36

</span></span>Answer:<span>=<span><span>−<span>2x</span></span>+<span>36

Good luck mate :P
</span></span></span>
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Area of a triangle:

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a = bh/2

Top Left Triangle:

a = 6 × 5.2 / 2

a = 31.2 / 2

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Top Right Triangle:

a = 8 × 2.9 / 2

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Answer:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x                 y

1                 8

2                6

3                4

4                2

Taking any two points to find the slope

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  • (2, 6)

The slope between (1, 8) and (2, 6) is:

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)

m=\frac{6-8}{2-1}

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We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

y=mx+b

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Thus, the y-intercept of the function is: b=10

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14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

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