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3 years ago

Is ( -1 , 2 ) the solution to the system involving y=-1x+1and y=3x+5?

Mathematics

1 answer:

Margaret [11]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

plug it in 1(-1)+1 and 3(-1)+5

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At a school book fair, 3/5 of the books are nonfiction books. of the nonfiction books, 1/4 are animal books. what fraction of th

bulgar [2K]

Answer:

Animal books make up (3/20) of all books

Step-by-step explanation:

Let X be the total number of books, made up of nonfiction, animal, and all others.

(3/5)X are nonfiction books.

Of the nonfiction books, 1/4 are animal books: (3/5)*(1/4)X = (3/20)X are animal books

[This means that Nonfiction, less animal books is: (3/5)X - (3/20)X]

Animal books make up (3/20) of all books.

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2 years ago

A supplies box contains 3 red crayons, 2 green crayons, and 6 blue crayons. If we choose a crayon, then another crayon without p

wel

Answer: 3/11 & 6/10

Step-by-Step explanation:

there are 11 crayons, 3 of which are red so the chance of picking a red one is 3 out of 11. now that you have taken out a crayon you take the original number and take away 1

11 - 1 = 10

so the chance of taking a blue canyon out is 6/10.

these events are dependent because if you didn't take the first crayon out of the supply box the answer would be 6/11 instead of the 6/10 we have

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3 years ago

25 equivalent expressions to 8x+12

-Dominant- [34]

Here are some
1 ) 4 ( x - 3 )
2 ) 10 x - 2 x - 12
3 ) 8 x - 4 - 8

8 0

3 years ago

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

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3 years ago

20 POINTS Determine the sample space for completing three days of chores. Use the abbreviation M for Maddie, P for Paige, and O

Katen [24]

Step-by-step explanation:

ight or flight response, causing the adrenal glands to flood the body with stress hormones, such as adrenaline, and t

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3 years ago

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