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3 years ago

Help plsss thank youuuu

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

<u>Answer:</u>

A. (x+5)

<u>Step-by-step explanation:</u>

We are given a quadratic expression $x^2+8x+15$ which we will factorize to see which of the given options is a binomial factor of it.

$x^2+8x+15$

Finding the factors of 15 such that when added, they give a result of 8.

$x^2+3x+5x+15\\\\x(x+3)+5(x+3)\\\\(x+3)(x+5)$

Therefore, we can see that $(x+5)$ is that binomial factor that is present in the given options so option A. (x+5) is the correct answer.

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Sam paid $3.60 for 3/4 pound of his favorite trail-mix. What is the unit price (dollars per pound)?

jekas [21]

Answer:

So the unit price of the trail - mix is $4.80 per pound

Step-by-step explanation:

Sam paid $3.60 for 3/4 pound of his favorite trail-mix.

What it means is that said paid for 3/4 = 0.75 of a pound for $3.60

So let's determine how much he could have paid for a complete pound

$3.60= 0.75 pound

X= 1 pound

$X*0.75 pound= $3.60*1 pound

$x= ($3.60*1 pound)/0.75 pound

$x=$3.60/0.75

$x= $4.80

So the unit price of the trail - mix is $4.80 per pound

3 0

3 years ago

The table shows some values of a function of the form y = ax2 + bx + c.

natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

-7(1) + b = -6

b = -6 + 7

b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

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3 years ago

Which mortal kombat character is yalls favorite? Mine is kabal.

Andrews [41]

Answer:

omg! mine is Kabal tooo

Step-by-step explanation: i love mortal combat lol

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2 years ago

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What is the value of 4 to the power of -3

Flauer [41]

Answer:

0.015625

Step-by-step explanation:

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3 years ago

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Me. Ellis is a teacher who tutors after school. Of the students he tutors, 30% need help in computer science and 70% need assist

Anna11 [10]

Answer: There are 82.5% after school students who are enrolled in his classes.

Step-by-step explanation:

Let the total number of students be 100

Percentage of students who need help in computer science = 30%

So, number of students who need help in computer science = 30

Percentage of students who need help in maths = 70%

So, number of students who need assistance in maths = 70

Of the students who need help,

40% are enrolled in Mr. Ellis's class during the school day,

So, it means 60% are enrolled in his class after the school day.

Number of students who are enrolled in his class after the school day = 60

Number of students who need help in Maths is given by

$\frac{70}{100}\times 60=42$

Of the students that need help in maths, percent of students are enrolled in his class during the day = 25%

So, number of students who need help in maths and enrolled in his class after school hours

$\frac{75}{100}\times 42=31.5$

Number of students who need help in computer science and enrolled in his class after school hours

$\frac{30}{100}\times 60=18$

Therefore, there are $31.5+18=49.5$ students who joined his class after school hours,

Percentage of the after students who are enrolled in Mr. Ellis's classes is given by

$\frac{49.5}{60}\times 100=82.5\%$

Hence, there are 82.5% after school students who are enrolled in his classes.

6 0

3 years ago