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3 years ago

Multiplying binomials: (a+7) * (a-4)

2 answers:

6 0

The equation when multiplying binomials is a^2 + 2ab + b^2. Therefore when you use FOIL (First, Outer, Inner, Last), you will multiply a times a and a times -4, which gives you a^2 - 4a. Now you take the second term and do 7 times a and 7 times -4, which gives you 7a - 28. Combine them and you have a^2 - 4a + 7a - 28. Then combine the middle two terms and that gives you 3a. You will always have to combine like terms and it will always be the two middle terms. So your answer is a^2 + 3a - 28. Hope this helps. Please rate, leave a thanks, and mark a brainiest answer (Not necessarily mine). Thanks, it really helps! :D

oee [108]3 years ago

4 0

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Select the expression that is equivalent to x + x + y × y × y. Question 11 options: (a)x^2 + 3y (b)2x + 3y (c)x^2 + y^3 (d)2x +

beks73 [17]

x+x+y.y.y = 2x+y^3 ( y cube)

So, The answer is (d)

7 0

3 years ago

A student has a savings account earning 3% simple interest. She must pay $1200 for first-semester tuition by September 1 and $12

Bingel [31]

Using simple interest, it is found that she needs to earn $2,391.07 during the summer.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

For this problem, the objective is to have <u>$1200 in 3 months = 0.25 years</u>, hence the parameters are given as follows:

A(0.25) = 1200, t = 0.25, r = 0.03.

Hence we have to solve for A(0):

A(0)(1 + 0.03 x 0.25) = 1200

A(0) = 1200/(1 + 0.03 x 0.25)

A(0) = $1,191.07.

She also needs to earn $1,200 to pay the first-semester bill on time, hence:

1200 + 1191.07 = $2,391.07.

She needs to earn $2,391.07 during the summer.

More can be learned about simple interest at brainly.com/question/16646150

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3 0

1 year ago

A garrison of 400men had food for 40days.After 10 days,200 more men joined them .How long will the food last now?(Assume that th

mestny [16]

Let $x$ be the amount of food needed for one man for one day. At the beginning, we have enough food for 400 men for 40 days, i.e.

$400\cdot 40\cdot x = 16000x$

After 10 days, the 400 men will have consumed

$400\cdot 10\cdot x = 4000x$

food, impliying that the food remaining is

$16000x-4000x=12000x$

If 200 more men join the garrison, there are now 600 men. Each of them requires $x$ food each day, and there are $12000x$ units of food remaining. They will last

$\dfrac{12000x}{600}=20$ days.

6 0

4 years ago

Look at abc. which triangle is congruent abc by the asa criterion

Bad White [126]

There is only 1 triangle

4 0

3 years ago

Let D = {x| x is a student} be the domain, and let ƒ(x) = “date of birth” be the possible function. Determine if the relation is

shusha [124]

A relation is a function if the value in its Domain does not occur more than once. This means each domain value is paired with exactly one value of range.

In the given scenario, the domain is the students (e.g name of a student) and the function returns the date of birth of the student. A student can have only one date of birth. So it is not possible that a value in Domain(i.e. a student) is paired with more than one date of births.

Therefore, we can conclude that the given relation describes a function.

5 0

4 years ago

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