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3 years ago

Factor the trinomial 15a^2-22ab-5b^2

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

7 0

15a² - 22ab - 5b²
15a² - 25ab + 3ab - 5b²
5a(3a) - 5a(5b) + b(3a) - b(5b)
5a(3a - 5b) + b(3a - 5b)
(5a + b)(3a - 5b)

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The volunteers at a high school football team's concession stand are trying to decide on the price of the hot dogs they are sell

Dovator [93]

Answer:

The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Step-by-step explanation:

To find: What is the constant term in the polynomial expression, and what does it represent?

The given expression is $-8x^2 + 54x + 140$ .

To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.

= $-8(0)^2 + 54(0) + 140$

= $140$

The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.

Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

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3 years ago

the ratio of girls to boys in the six grade class is seven to six. If there are 84 girls, how many boys are in the six grade

padilas [110]

There are 72 boys. 7:6 = 84:?, divide 84 by 7, you get 12. Multiply 6 by 12 to get the answer.

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3 years ago

The heights of a students(in cm) are:54,52,56,54,58,51.<br><br> Find the median.

kumpel [21]

Answer:

To answer this question you will use the median height of 156 centimeters and the fact that there are 26 kids in the class to know that the median is not in the data set, therefore it breaks the data into two equal halves with 13 in each half.

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3 years ago

The image of the polygon ABCDE reflected across the x-axis. A(-1,-1),B(0,1),C(4,2),D(6,0),E(3,-3) The vertices of the image are.

4vir4ik [10]

A reflection across the x-axis has the rule:

(x,y)→(x,-y).

Then:

A(-1,-1)→A'(-1,1),
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Answer: the vertices of the image are A'(-1,1), B'(0,-1), C'(4,-2), D'(6,0) and E'(3,3).

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3 years ago

Peyton is collecting data on the lunch habits of students at Hyattsville Middle School. In one class, 14 students bring lunch fr

mart [117]

Answer:

Answer: Around 1000 students would buy a school lunch.

Step-by-step explanation:

We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.

In total we have 20 + 14 = 34 students, this will be our 100%.

The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.

p1 = (14/34)*100% = 41.18%

And the percentage of students that buy lunch at school can be computed in the same way:

p2= (20/34)*100% = 58.82%

Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.

Then the exact number will be:

N = (58.82%/100%)*1700 = 1000

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2 years ago