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3 years ago

WHat is an example of an algebraic expression ?

Mathematics

2 answers:

maw [93]3 years ago

5 0

Answer:

Step-by-step explanation:3x² - 2xy + c

Lubov Fominskaja [6]3 years ago

4 0

Answer:

4x + 2

Step-by-step explanation:

An algebraic equation is a series of terms, coefficients, and variables WITHOUT the = symbol.

Hope this helps!

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Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Prope

ziro4ka [17]

Given:

Expression is

$3r^2-2r+4$

To prove:

If r is any rational number, then $3r^2-2r+4$ is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.

Let r be any rational number.

We have,

$3r^2-2r+4$

It can be written as

$3(r\times r)-2r+4$

Now,

3, -2 and 4 are rational numbers by property 1.

$r^2=r\times r$ is rational by Property 3.

$3r^2\text{ and }-2r$ are rational by Property 3.

$3r^2+(-2r)+4$ is rational by property 2.

So, $3r^2-2r+4$ is rational.

Hence proved.

6 0

3 years ago

Alejandro solved the equation 5(7x^2-2)-8=3. He wrote 5(7x^2-2)=11 as his first step. Which property justifies his first step?

Scorpion4ik [409]

The addition property of equality. It says that if you add the same number to each side of the equation, the two sides of the equation will be equal. In this case, the number 8 was added to each side.

Hope this helps :)

3 0

4 years ago

Read 2 more answers

Rewrite the equation B - 7,536 = 2t as a function of t.

pav-90 [236]

Answer:

B = 2t + 7,536

Step-by-step explanation:

B - 7,536 = 2t

Add 7,536 to both sides.

B = 2t + 7,536

8 0

3 years ago

A rectangular prism has a length of 4 ft, a width of 2 ft, and a height of 3 ft. What is the capacity of container

KIM [24]

Answer:

Step-by-step explanation:

4 x 2 = 8 so 8 x 3 = 24

8 0

3 years ago

A sailfish can swim u to 68 miles per hour. At this rate, how far can a sailfish swim in 1/4 hour?

Novay_Z [31]

Answer:

C. 17 miles

Step-by-step explanation:

Divide 68 by 4 since it is a fourth of an hour

6 0

3 years ago