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Musya8 [376]
3 years ago
13

P(x)=(x-2)(x-3)(x+7) find the constant term

Mathematics
1 answer:
hram777 [196]3 years ago
5 0
Short method: multiply constants
= ( - 2) \times ( - 3) \times (7) \\  = 6 \times 7 \\  = 42

Long mothod: expand it
= ( {x}^{2} - 5x + 6)(x + 7) \\  = ... \\  =  ... + 42

Answer: 42
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90 students take a test.
Anika [276]

Answer:

Step-by-step explanation:

If there are 90 students and the ratio of boys to girls is 3:2, that means 3x+2x=90

Combine like terms: 5x=90

x=18

2x (girls)=36

3x (boys)=54

1/3 of the boys scored full marks, so 54/3=18 boys scored full marks

The number of girls who scored full marks is half of the number who did not score full marks means that 1/3 of the girls scored full marks. 36/3=12, so 12 girls scored full marks.

(I don't know what the question is sorry if it's incorrect but there's not enough information)

Hope this helps!

5 0
2 years ago
with the exception of the first house, all the houses on sequence lane have an address whose numerical portions are greater than
yanalaym [24]

Answer:

The address of Ainsley is 24 and that of Lane is 25.

Step-by-step explanation:

All the houses on sequence lane have an address whose numerical portions are greater than that of the prior house.

Now, if Ainsley and Lane are next-door neighbors and the sum of the numerical portions of their addresses is 49.

Let the Ainsley has the address with numeric portion x, then Lane has the address with numeric portion x + 1.

Therefore, x + (x + 1) = 49

⇒ 2x = 48

⇒ x = 24

So, the address of Ainsley is 24 and that of Lane is 25. (Answer)

4 0
3 years ago
A worker gets paid overtime at the rate of normal time plus one third. One week he works 40 hours of normal time and 6 hours ove
Leya [2.2K]

Answer:

$ 720

Step-by-step explanation:

Normal time $ 15

Overtime: 15 x 1/3 = $5 + $15 = $20

(40 x 15) + (6 x 20) = 600 + 120

5 0
2 years ago
Help plz ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!
Yakvenalex [24]

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−(3v+1)+7(6v+6)=−37

Step 1: Simplify both sides of the equation.

−(3v+1)+7(6v+6)=−37

−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)

−3v+−1+42v+42=−37

(−3v+42v)+(−1+42)=−37(Combine Like Terms)

39v+41=−37

39v+41=−37

Step 2: Subtract 41 from both sides.

39v+41−41=−37−41

39v=−78

Step 3: Divide both sides by 39.

39v

39

=

−78

39

v=−2

Answer:

v=−2

8 0
2 years ago
Read 2 more answers
Please help I'll give brainliest
devlian [24]

Answer:

m∠1 + m∠3

Step-by-step explanation:

Please please mark me brainliest and have a great day!

6 0
3 years ago
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