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Lelu [443]
2 years ago
7

if a rectangle has am area of 2x²+11x+15, what would be an expression for the length, and for the width?

Mathematics
1 answer:
lozanna [386]2 years ago
3 0

Answer:

Length = 2x + 5

Width = x + 3

Step-by-step explanation:

Area of rectangle = length × width

Expression for area of the rectangle = 2x² + 11x + 15

Factorising the quadratic expression

2x² + 11x + 15 = 2x² + 6x + 5x + 15 = (2x² + 6x) + (5x + 15) = 2x(x + 3) +5(x + 3) = (2x + 5)(x + 3)

Length = 2x + 5

Width = x + 3

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Show your work for this one
Klio2033 [76]

Step-by-step explanation:

multipy the two sides by 2

n+4= -16

move the constant to the right change its sign

n= -16 - 4

calculate the difference

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4 0
3 years ago
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To qualify for gold status at awesome airlines, One must fly at least 16500 and less than 31500 miles each year. If Casey takes
SIZIF [17.4K]

Answer:

<em>[22,42]</em>

Step-by-step explanation:

<u>Division </u>

We must find an interval for the number of visits Casey needs to make to her parents to earn the gold status. The lower limit for that status is 16500 miles.

Each round trip flight Casey takes to visit her parents is 750 miles long. To know the minimum number of visits needed, we divide 16500 / 750= 22. To know the maximum number of visits, we divide 31500 / 750 = 42.

Thus, to earn the gold status at awesome airlines, Casey must go between 22 and 42 times to visit her parents. Expressing in interval notation: [22,42]

3 0
3 years ago
Write an integer addition expression that equals -6 and ...
ArbitrLikvidat [17]

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<h2>-11 + 5</h2>

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I'm always happy to help :)

3 0
3 years ago
Mr. Jones took a survey of college students and found that 60 out of 65 students are liberal arts majors. If a college has 8,943
hammer [34]

Answer:

We can expect 8255 numbers of students are liberal arts majors.

Step-by-step explanation:

Given:

Total Number of students in the college = 8943

Now According to Mr. Jones Survey;

60 out of 65 students are liberal arts majors.

We need to find the number of students who are liberal arts majors out of total number of students in college.

Solution:

First we will find the Percentage number of students who are liberal arts majors according to survey.

Percentage number of students who are liberal arts majors can be calculated by dividing 60 from 65 then multiplying by 100.

framing above quote in equation form we get;

Percentage number of students who are liberal arts majors = \frac{60}{65}\times 100 = 92.31\%

Now we will find the Total number of students who are liberal arts major.

Total number of students who are liberal arts major can be calculated by Multiplying Percentage number of students who are liberal arts majors with total number of students in the college and then dividing by 100.

framing above quote in equation form we get;

Total number of students who are liberal arts major = \frac{92.31}{100}\times 8493 \approx8255.28

Since number of students cannot be in point, so we will round the value.

Hence We can expect 8255 numbers of students are liberal arts majors.

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2 years ago
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Nuetrik [128]
4 can go into 72 18 times
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