Is this right PLEASE HELP ILL GIVE BRAINLY

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

Lucy buys 3 liters of apple juice. How many millilitres of apple juice does she buy?

Mkey [24]

Answer:

3000 milliliters

Step-by-step explanation:

1liter contains 1000militers

3liters contain (3*1000)militers

4 0

4 years ago

Read 2 more answers

How would you represent a rotation of 360 algebraically?

GenaCL600 [577]

Answer:It means turning around until you point in the same direction again. Other ways of saying it: "Doing a 360" means spinning around completely once (spinning around twice is a "720").

...

A full rotation is 360 degrees.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

lled a 12:3:112:3:1 ratio. Such a model can provide the basis for the null hypothesis in a significance test. A cross of white a

nadezda [96]

Here is the full question:

When a species has several variants of a phenotype passed on from generation to generation, we can form a hypothesis about the genetics of the trait based on Mendelian theories of genetic inheritance. For example, in a two-gene dominant epistatic model, the first gene masks the effect of the second gene, leading to the expression of three phenotype variants. Crossing the dominant and recessive homozygote lines would result in a second generation represented by a mix of dominant, intermediate, and recessive phenotype variants in the expected proportions: and respectively, also called a 12:3: 1 ratio.

Such a model can provide the basis for the null hypothesis in a significance test. A cross of white and green summer squash plants gives the number of squash in the second generation F2: 131 white squash, 34 yellow squash, and 10 green squash. Are these data consistent with a 12: 3: 1 dominant epistatic model of genetic inheritance( white being dominant)?

The null hypothesis for the chi-square goodness-of-fit test is

Answer:

The null hypothesis for the chi-square goodness-of-fit test is :

$\mathbf{H_o:p_{white} = \frac{12}{16}, p_{yellow} = \frac{3}{16}; p_{green} = \frac{1}{16} }$

Step-by-step explanation:

The objective of this question is to state the null hypothesis for the chi-square goodness-of-fit test.

Given that:

There are three colors associated with this model . i,e White , yellow and green and they are in the ratio of 12:3:1

The total number of these color traits associated with this model = 12 + 3 + 1 = 16

Thus ;

The null hypothesis for the chi-square goodness-of-fit test is :

$\mathbf{H_o:p_{white} = \frac{12}{16}, p_{yellow} = \frac{3}{16}; p_{green} = \frac{1}{16} }$

3 0

3 years ago

The distance between

kykrilka [37]

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5 0

3 years ago