Solve for x: the quantity of x plus 4 over 3 = 2.

Help!! algebra two!! c-h :)

kotegsom [21]

Answer:

c. (2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)²

d. (w - 1)(1 + w + w²) =  w³ - 1

e. a² - 16 = (a + 4)(a - 4)

f. (2x + 5y)(2x - 5y) = 4x² - 25y²

g. (2²¹ - 1)(2²¹ + 1) = 2⁴² - 1

h. [(x - y) - 3][(x - y) + 3] = (x - y)² - 9

Step-by-step explanation:

c. Although this expression, when squared, is really 4x² + 12xy + 9y², they just splitted it up into several more terms. In this last blank should be a 9y², but instead, they took the square root of the term, which is 3y, and set the square outside of the parentheses.

*I bet that was what made it confusing, but have no fear. The mathematics tutor is here.

d. This is similar to the Quadratic Equation [y = Ax² + Bx + C] where you can, what I like to call... FOIL it, however, you have an extended amount of terms. Although you still have to FOIL it, it is just a unique procedure. This time, you have to one-by-one, take each term in the first set of parentheses [-1 and w] and multiply them by the second all three terms in the second set of parentheses.

e. This is a piece of cake because we know BOTH square roots of 16 and we are multiplying what are called conjugates.

f. Again, we are multiplying conjugates, so we just multiply the first and last two terms in each set of parentheses.

g. Again, we are multiplying conjugates EXCEPT now, we have exponents in each set of parentheses. Whenever you multiply terms, you add the exponents and your base remains the same, which is what you see in the above answer.

h. For the final exercise, we are multiplying conjugates again, and we obviously can see what fills that blank because there are TWO IDENTICAL EXPRESSIONS that are being multiplied, which in this case are being "squared", and that expression is x - y. It appears twice, so that is a giveaway.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**Conjugates are IDENTICAL expressions with OPPOSITE operation symbols. Whenever you multiply conjugates, just add the first and last two terms in both sets of parentheses because when you FOIL, the midst term will ALWAYS result in zero.

8 0

4 years ago

Gillian can spend up to $300 buying both cotton shirts and wool shirts for her club. The cotton shirts cost $15 each and the woo

Vaselesa [24]

Answer: Option 'A' is correct

Step-by-step explanation:

Since we have given that

Total money Gillian spend on both cotton shirts and wool shirts = $300

Cost of per cotton shirt = $15

Cost of per wool shirt = $ 20

According to question,

The number of wool shirts Gillian will buy will be at least 3, but less than half the number of cotton shirts she buys.

So, by option when we use the data of Option 'A'

Number of cotton shirts =13

Cost incurred on cotton shirt is given by

$13\times 15=195$

Number of wool shirts = 4

Cost incurred on wool shirt is given by

$4\times 20=80$

Total cost incurred on both the shirts is given by

$195+80=\$275$

If we use option 'B' we spend only $230

If we use option 'C' , it does not satisfy the question as it is mentioned in the question that number of wool shirt must be less than half of number of cotton shirt

If we use option 'D' , we spend $325 which is much higher than $300

Hence , option "A" is correct.

3 0

3 years ago

Read 2 more answers

What is the volume of this cube? If it only shows one edge that says 0.5m?

saul85 [17]

Answer:

0.125 or about 0.13

Step-by-step explanation:

Length times width times height.

5 0

3 years ago

-5.5x+0.79=-1.41 what is the solution of x

mezya [45]

Answer:

Step-by-step explanation:

-5.5x+0.79= -1.41

-5.5x+0.79 - 0.79 = -1.41 - 0.79

-5.5x = -2.2

-5.5/5.5x = -2.2/5.5

x = -0.4

8 0

3 years ago

6x^3 - 9x^2 = ? 3x(x+1)−5y(x+1) = ?

Irina18 [472]

Step-by-step explanation:

6x^3 - 9x^2=

3x^2(2x-3)

3x(x+1)−5y(x+1)=

3x-5y(x+1)

4 0

3 years ago