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2 years ago

Writing Exercises

Mathematics

1 answer:

mash [69]2 years ago

4 0

Answer:

Hence we prefer the distributive method when multiplying trinomial by a binomial.

Step-by-step explanation:

Explanation

We have to explain when multiplying a trinomial by a binomial which method we prefer from the Distributive Property or the Vertical Method.

We prefer the Distributive method because the method is the quickest than the vertical method methods as the vertical method has more steps than the distributive property also the vertical method is a bit complicated than the distributive method.

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Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4. which describes the relationship between the two trian

Nadya [2.5K]

Answer:

ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

Step-by-step explanation:

It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.

If a figure is dilated then preimage and image are similar.

If scale factor is between 0 to 1, then preimage is reduction of image.

If scale factor is more that 1, then preimage is enlargement of image.

If scale factor is 1, then preimage is congruent to the image.

We know that

$\frac{3}{4}=0.75$

So,

$0$

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

6 0

3 years ago

What are the domain and range of g(x)= √x-3?

Vera_Pavlovna [14]

Answer:

I guess, A is the wanted answer, but

A and D together are the really correct answer.

Step-by-step explanation:

if I understand this correctly, then

g(x) = sqrt(x - 3)

the domain of a function is the definition of all valid x (input) values.

the range of a function is the definition of all valid y (result) values.

well, the content (the arguments) of a square root cannot be negative (at least not while dealing with real numbers).

so, the answer options B and D are automatically out, because the domain contains values that would make the arguments of the square root negative.

I guess your teacher wants to focus only on the positive results of the square root, so A is the correct number.

BUT formally, without designated restrictions, a square root has always 2 solutions : a positive and a negative one.

because (-x)² = (x)² = x².

so, I would have to say that the really correct answer is

A + D, because the range contains both, the positive and the negative numbers.

5 0

1 year ago

There are 5 4/5 cups of milk left in a carton write 5 4/5 as an improper fraction

olga_2 [115]

29/5 should be the correct answer

5 0

3 years ago

A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedr

olga55 [171]

Answer:

(507.05, 592.95)

Step-by-step explanation:

Given data:

sample mean = $550, sample standard deviation S = $60.05

95% confidence interval , n = 10

For 95% confidence interval for the mean

mean ± M.E.

where M.E. is margin of error = $t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }$

Substituting the values in above equation

$=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }$

= 2.62×18.99

=42.955

= 550±42.95

=(507.05, 592.95)

6 0

3 years ago

Can someone please help me with this question ,

ollegr [7]

(x+6)(x+9) = 0
x+6 = 0 or x+9 = 0
x = -6 x = -9

Answer is A. -6 and -9

8 0

3 years ago