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Cloud [144]
3 years ago
12

Expand and simpify (x+4)(x-7)

Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x+4)(x-7)

x^2-7x+4x-28

x^{2}-3x-28

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Please help!!!!<br><br>what is the least common denominator of 1/6, 10/11, 5/12?<br>​
Vesna [10]
<h3>Answer: LCM = 132</h3>

===================================================

Work Shown:

LCM = least common denominator

List out the prime factorization of each denominator

  • 6 = 2*3
  • 11 = 1*11
  • 12 = 2*2*3

So we have the list of primes 2,3, and 11 that help form the denominators when we multiply some of them together.

The prime 2 shows up at most twice, so 2*2 = 4 is a factor of the LCM

The prime 3 shows up at most one time, meaning 3 is also a factor

The prime 11 shows up at most one time, so 11 is another factor

Multiply these factors to get 4*3*11 = 12*11 = 132

The LCM is 132

---------------------

Another Approach:

Focus on 1/6 and 10/11 for now. The LCM is 66 because 6*11 = 66. We simply multiply the denominators together. Then we divide over the GCF 1 to get 66/1 = 66.

The LCM of 1/6 and 10/11 is 66

The fractions 1/6 and 10/11 are equivalent to 11/66 and 60/66 respectively

The original list of fractions updates to 11/66, 60/66, 5/12

We've gone from 3 different denominators to now 2 different denominators.

Repeat the steps of multiplying the denominators and dividing by the GCF

66*12 = 792

792/(gcf of 66 and 12) = 792/6 = 132

So the LCM of all the fractions is 132.

3 0
3 years ago
The supply and demand curves for a market are graft below with price in dollars and quantity in thousands. Which of the followin
lesya692 [45]

Answer:

B) A market equilibrium price less than $30

Step-by-step explanation:

When the supply curve increases, it shifts to the right, making the market equilibrium price lower because the oversupply of the quantity causes demand to drive down.

7 0
2 years ago
HELP PLEASE <br><br> 100 points and I'll mark you brainliest
Ghella [55]

Answer for the first question:

180=m(150)+c

Answer for the second question:

The~answer~is~attached~down~below

4 0
3 years ago
Read 2 more answers
A submarine traveling 200 meters below the surface of the ocean increases its depth by 45 meters. Adam says that the new locatio
melisa1 [442]

Adam made an error of 400 meters

Explanation:

Since, submarine traveling 200 meters below the surface of the ocean

and when the depth increases by 45 meters then submarine new location is

200+45=245 meters below from the surface of ocean.

But Adam says that new location is at -155 meters.

So, error is,   245-(-155)=400 meters

Learn more:

https://brainly.in/question/13000874

8 0
2 years ago
I need answer please
ValentinkaMS [17]

Answer:

they are integers

Step-by-step explanation:

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