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Effectus [21]
3 years ago
13

The binomial (a+5) is a factor of a2+7a+10. What is the other factor?

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

(a+2)

Step-by-step explanation:

a²+7a+10 = (a + 5) (a + 2)

a  +  5

    X  <em>5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10</em>

a  +  <em>2</em>    

______

(a + 5) (a + 2)

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yarga [219]

Answer:

1.U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

2.U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

Step-by-step explanation:

We are given that A\cap (B\cup C) and A\cup (B\cap C)

are different sets

1.We have to construct a universe set U and non empty sets A,B and C so that above set in fact the same

Suppose U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

B\cap C=\phi

B\cup C={2,3,4,5}

A\cap (B\cup C)={2}\cap{2,3,4,5}={2}

A\cup (B\cap C)={2}\cup\phi={2}

Hence, A\cap (B\cup C)=A\cup (B\cap C)

2.We have to construct a universe set U and non empty sets A,B and C so that  above sets are in fact different

Suppose U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

B\cap C=\phi

B\cup C={2,3,4}

A\cup (B\cap C)={1,2}\cup \phi={1,2}

A\cap (B\cup C)={1,2}\cap {2,3,4}={2}

Hence, A\cap (B\cup C)\neq A\cup (B\cap C)

3 0
3 years ago
F to the second time F to the Third​
miskamm [114]

Answer:

F^{5}

Step-by-step explanation:

F^2 \times F^3 =

= F^{2+3}

= F^{5}

4 0
3 years ago
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Suppose you spin the spinner once. Find the probability.
AleksandrR [38]
1/2 for red, 1/4 for blue, or if you are speaking of both together it is 3/4
8 0
3 years ago
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What is the equation of the line in the graph? 4,0 0,4
horrorfan [7]
Find the slope soooo its (y2-y1/x2-x1)= -4/4 so -1 is slope
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5 0
3 years ago
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Peter has a coupon for 15% off the price of any item in a sporting good store he wants to buy a pair of sneakers that are priced
aniked [119]

Answer:

$31.44

Step-by-step explanation:

According to the word problem, Peter has a coupon for 15% OFF.

This means the price will reduce by 15%.

To solve this, first, change the percentage (15%) to decimal form.

To do this, divide the percentage by 100.

15 / 100 = 0.15.

0.15 is the decimal form of 15%.

Next, multiply the decimal form of the percentage by the price.

36.99 x 0.15 = 5.5485

Lastly, subtract the product from the original price.

36.99 - 5.5485 = 31.4415

In this case, the product goes above the hundredths place.

So we must round 31.4415 to the hundredths place.

31.4415 ≈ 31.44

Therefore, the sneakers are $31.44 after the discount of 15%.

7 0
2 years ago
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