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2 years ago

If x represents an even number, which expression represents an odd number?

1 answer:

3 0

Test the choices !
Pick an even number, and see what each choice does to it.

Let's start with, say, 6 .
We'll try each choice, and see which one produces an odd number:

a). 6 to the 2nd power. . . . . . 6 x 6 = 36. That's not an odd number.

b). 6 + 3 = 9 This could be it. 9 is odd. We'll save this one.

c). 3·6 = 18. That's not an odd number.

d). 6/3 = 2. That's not an odd number.

The only one that gave us an odd number is (b).

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Given that these triangles are similar, what is the perimeter of triangle PQR? Show your work.

dimaraw [331]

Answer:

Step-by-step explanation:

I use the Pythagoras theorem.

$\sqrt{a^{2} +b^{2} } =c^{2}$

$4^{2}{x}6^{2} = c^{2}$

16 x 36= 576

$\sqrt{576} = 24$

6 0

2 years ago

When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel

xz_007 [3.2K]

Answer: option B. it has the highest y-intercept.

Explanation:

1) point -slope equation of the line

y - y₁ = m (x - x₁)

2) Replace (x₁, y₁) with the point (5,3):

y - 5 = m (x - 3)

3) Expand using distributive property and simplify:

y - 5 = mx - 3m ⇒ y = mx + 5 - 3m

4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept

⇒ slope = m

⇒ b = 5 - 3m = y - intercept.

Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.

Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).

7 0

2 years ago

Read 2 more answers

the price of one share of ABC company decreased a total of $45.75 in 5 days what was the acerage change of the price of one shar

yulyashka [42]

Just divide 40 divided by 5 and you should get $9.15

8 0

2 years ago

Read 2 more answers

Evaluate the expression

Lilit [14]

Answer:

Multiply

2^3 by 2^4 by adding the exponents.

Use the power rule

a^m a^n=a^m+n

to combine exponents.

2^3+4

Add 3 and 4.

2^7

Raise 2 to the power of 7.

128

Step-by-step explanation:

Hope it is helpful....

7 0

2 years ago

Can someone help please

Ira Lisetskai [31]

Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.

Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.

5 0

2 years ago