The sum of two integers is -1. the product of the integers is -72 find the integers.

Answers

Answer 1

Answer: $\left\{\begin{array}{ccc}x+y=-1\nx\ *\ y=-72\end{array}\right\n\left\{\begin{array}{ccc}x=-y-1\nx\ *\ y=-72\end{array}\right\n\nsunbstitute:\n\n(-y-1)y=-72\n-y^3-y+72=0\n\na=-1;\ b=-1;\ c=72\n\Delta=b^2-4ac\to\Delta=(-1)^2-4\cdot(-1)\cdot72=1+288=289\n\ny_1=(-b-\sqrt\Delta)/(2a)\to y_1=(1-√(289))/(2\cdot(-1))=(1-17)/(-2)=(-16)/(-2)=8\n\ny_2=(-b+\sqrt\Delta)/(2a)\to y_2=(1+√(289))/(2\cdot(-1))=(1+17)/(-2)=(18)/(-2)=-9$

$if\ y=8\ then\ x=-8-1=-9\n\nif\ y=-9\ then\ x=-(-9)-1=9-1=8\n\nAnswer:8\ and\ -9.$

Answer 2

Answer:

Answer:

the answer is 8 and -9

Step-by-step explanation:

hope this helps

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A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey. For the sample to accurately represent the population, about how many sixth graders should be chosen? A.7 B.8 C.14 D.16

Answers

About 8 sixth graders should be chosen.

What is direct proportion?

Direct proportion is a type of proportionality relationship. For direct proportion, as one value increases, so does the other value and conversely, as one value decreases, so does the other value.

Given that, A population of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. Nine seventh graders were part of a random sample of the population chosen to participate in a survey.

We know they are in direct proportion,

Number of sixth graders students = 160

Number of seventh graders students = 180

Number of eighth graders students = 140

If 9 seventh graders were part of a random sample of the population chosen to participate in a survey.

Let the number of sixth graders should be chosen to be 'x'.

Since, there will be direct proportion.

180/9 = 160/x

20 = 160/x

x = 160/20

x = 8

Hence, About 8 sixth graders should be chosen.

For more references on direct proportion, click;

brainly.com/question/28730073

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Answer:B-8

Step-by-step explanation:BECAUSE it was for me

Which word describes a triangle with three angles, if each angle measures less than 90°?

Answers

Answer:

acute triangle

Step-by-step explanation:

A triangle with all angles less than 90 degrees has all angles that are acute.

Acute angles are less than 90 degrees

Nell's mortgage is $50,150 at 10 percent for 30 years. What is her monthly payment if she must pay $8.78 points per $1,000?a) $440.32
b) $439
c) $442.95
d) $385.89

Answers

Answer:

The correct option is a.

Step-by-step explanation:

It is given that Nell's mortgage is $50,150 at 10 percent for 30 years and she must pay $8.78 points per $1,000.

EMI on $1000 is $8.78, so EMI on $1 is

$\text{EMI on }\$1=(8.78)/(1000)=0.00878$

EMI on $50150 is

$\text{EMI on }\$50150=0.00878* 50150=440.317\approx 440.32$

Therefore the correct option is a.

The right answer for the question that is being asked and shown above is that: "d) $385.89." Nell's mortgage is $50,150 at 10 percent for 30 years. Her monthly payment if she must pay $8.78 points per $1,000 is that of d) $385.89

Assuming that red tiles represent negative terms, what algebraic expression do the above algebra tiles represent plzzzzzzzzzzzz helpppppppp

Answers

Answer:B

Step-by-step explanation:

I just tried it and i got a 100

Answer:

Step-by-step explanation:

a sum of money is divided between isha and roger in the ratio 2:3. if isha's share is $600, find roger's share

Answers

There are two solutions to this problem, either:
1: Isha has the bigger part (:3)
2: or Isha has the smaller part (2:)

1.
Isha = 3x = 600
solve for x:
x = 600/3 = 200
Then Roger has 2x = 2*200 = 400
600:400
6:4
3:2
the ratio complies, Isha has 600 and Roger 400

2.
Isha = 2x = 600
x = 300
Roger = 3x = 3*300 = 900
600:900
6:9
2:3
the ratio complies, Isha has 600 and Roger 900

Which equation describes the line that contains (1,5) and has a slope of 2

Answers

The equation that describes the line that contains (1,5) and has a slope of 2 is y = 3x + 2

The equation of a line in point slope form is expressed as;

y-y0 = m(x - x0)

m is the slope of the line

(x0, y0) is the point on the line

Given the following parameters;

Slope = 2

Point on the line is (1, 5)

Substitute the given parameters into the formula to have:

y - 5 = 3(x-1)

y - 5 = 3x - 3

y = 3x + 2

Hence the equation that describes the line that contains (1,5) and has a slope of 2 is y = 3x + 2

Learn more on equation of a line here: brainly.com/question/18831322

in order to write an equation you need to find the y-intercept. the way you do this is by plugging in the value 2 and the point into y=mx+b and solving for b. once you plug everything in you get 5=2(1)+b. solving from here you get b=3. putting everything together you get y=2x+3

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