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4 years ago

Britney is solving a quadratic equation. Her first

2 answers:

8 0

Britney used commutative property of addition and distributive property of multiplication over addition to get to step

The answer is II and IV ⇒ answer 4

Step-by-step explanation:

The quadratic equation is:

3x² - 8 - 10x = 3(2x + 3)

Britney's step is:

3x² - 10 x - 8 = 6x + 9

Lets explain the meaning of:

1. Commutative property of addition is: you can add a and b or b and a

both give the same answer

2. Distributive property of multiplication over addition is: when the

number a is multiplied by the sum of two numbers (b + c), the

first number a can be distributed to both b and c and multiplied

by each of them separately, then adding the two products ab and

ac together for the same result as multiplying the first number a by

the sum (b + c) ⇒ a(b + c) = ab + ac

3. Addition property of equality is: the property that states if you

add the same number to both sides of an equation, the sides

remain equal

4. Multiplication property of equality is: The property that states if

you multiply both sides of an equation by the same number, the

sides remain equal

Now let us explain Britney's step

∵ She change the places of the terms - 10x and - 8

- She arranges the terms of the left hand side from greatest power

of x to the numerical term

∴ She used the commutative property of addition

∵ She multiplied 3 by 2x and multiplied 3 by 3

- She multiplied the number out side the bracket by each of the

two terms in the bracket

∴ She used the distributive property of multiplication over addition

Britney used commutative property of addition and distributive property of multiplication over addition to get to step

The answer is number 4) II and IV

Learn more:

You can learn more about quadratic equation in brainly.com/question/8196933

#Learn withBrainly

KiRa [710]4 years ago

5 0

Answer:

4) II and IV

Step-by-step explanation:

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Answer:

If the area of a square is given by the polynomial 4x2 – 36x + 81, then which of the

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A 2x -9

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Step-by-step explanation:

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4 years ago

A professor gave her students six essay questions from which she will select three for a test. A student has time to study for o

Alenkinab [10]

The probability that of the questions studied, all three were the test questions selected by the professor is 0.05.

<h3>How to find the probability?</h3>

We can find the probability by dividing the total number of favorable events by the total number of events.

The total number of events is given by $6C_{3}$ .

The total number of favorable events is given by $3C_{3}$ .

The probability is given by = Favorable events/Total number of events

= $\frac{3C_{3}}{6C_{3}}$

= $\frac{1}{\frac{(6)(5)(4)}{(1)(2)(3)} }$

= $\frac{1}{(5)(4) }$

= 0.05

The probability that all three questions are selected by the professor for the test is found to be 0.05.

Therefore, we have found that the probability that of the questions studied, all three were the test questions selected by the professor is 0.05.

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Disclaimer: The question was incomplete, the complete question is attached below.

Question: A professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these six questions. What is the probability that, of the questions studied, all three were the test questions selected by the professor?

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3 years ago

Finding the coefficient a of the term in the expansion of the binomial.<img src="https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20%2B%20

Tomtit [17]

Answer:

3,247,695

Step-by-step explanation:

We want the coefficient of the term with x^8

So Use Newton's Binomial Expansion formula

Formula is (x + y) ^n = Sum for i=0 to n (n choose i) x^(n-i)*y^i

here (x^2 + 3) ^ 12

( 12 choose i) * (x^2)^(12-i) * (3)^i

i needs to equal 8 for us to get x^8

(12 choose 8) * (x^2)^(12-8) * (3^8)

= (12 choose 8) * x^8 * (3^8)

so a = (12 choose 8) * $3^{8}$

a = (12! /(8! * 4!) ) * $3^{8}$

a = ( 12*11*10*9/ 4*3*2*1) * $3^{8}$

a = (11*5*9) * $3^{8}$

a = 11*5*9 * 6561

a = 3,247,695

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3 years ago

What is the value of sin(−θ) ?

Ghella [55]

Answer:

Step-by-step explanation:

The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.

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4 years ago

Lucy's savings account has 35% more money than her sister Edy's. Together, the girls have saved a total of $206.80. How much mon

Ber [7]

X=Lucy´s money
y=Edy´s money
we can suggest this system of equations:
x=y+(35/100)y ⇒x=135y/100
x+y=206.8

solve by substitution method.
(135y/100)+y=206.8
Least common multiple=100
135y+100y=20680
235y=20680
y=20680/235=88

then:
x=135y/100=135(88)/100=118.8

Answer:
Lucy´s money=$118.8
Edy´s money=$88

To check:
Together, the girls have saved a total of $118.8+$88=$206.8
Lucy´s savings account has: $88+(35/100)$88=$118.8, 35% more monty than Edy´s. account. .

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3 years ago