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3 years ago

Find thedegree of the algebraicexpression:3x^3 + 3x^2y^2 - y^2

Mathematics

1 answer:

Ghella [55]3 years ago

4 0

Answer:

Degree 4

Step-by-step explanation:

Expression:

3x^3 + 3x^2y^2 - y^2

3x^3 - degree 3
3x^2y^2 - degree 2+2 = 4
y^2 - degree 2

So the expression has degree 4 as per the highest degree of the terms

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Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

MariettaO [177]

Part 1: $4x + 7 = 3(2x - 5)$

$4x+7=6x-15$

$7=6x-15-4x

$

$7=2x-15$

$7+15=2x$

$22=2x$

$22=2x / 2$

$x=11$

Part 2: Sam is not correct because <span>he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted. </span>

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3 years ago

Five chips numbered 1 through 5 are placed in a bag. A chip is drawn and replaced. Then a second chip is drawn. Find the probabi

Vesna [10]

12345

The odds of drawing an even chip are $\frac{2}{5}$ .

The odds of drawing an odd chip are $\frac{3}{5}$ .

You multiply the two $\frac{2}{5} x \frac{3}{5} = \frac{6}{25}$ .

Knowing you cannot simplify 6/25 any further, you now have your answer!

Hope this helps! <3

6 0

3 years ago

The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle

Dovator [93]

Answer:

243 in²

Step-by-step explanation:

Step 1. Calculate the<em> base and height </em>of the rectangle

We have two conditions:

(1) 2b+ 2h = 72 in

(2) b = 3h Substitute in (1)

2(3h) + 2h = 72 Remove parentheses

6h + 2h = 72 Combine like terms

8h = 72 Divide by 6

h = 9 in Substitute in(2)

b = 3 × 9

b = 27 in

Step 2. Calculate the area of the rectangle

A = bh

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The area of the rectangle is 243 in².

7 0

3 years ago

Is 3/4 bigger than 3/5

Svet_ta [14]

Yes, 3/4 is bigger than 3/5.
One way you can verify this is by drawing a bar model, and cut it into four. Color in three pieces.
Then, draw another bar model the same size as the first one, and cut it into five pieces.
Color in three pieces.
You can see that 3/4 has more shaded in area than 3/5.
Another way you can do this is by dividing the numerator by the denominator for both fractions.
Hope this helped.

8 0

3 years ago

Read 2 more answers

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2

ivolga24 [154]

Question:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to $\frac{1}{2}$ .

If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?

5n = 3d and n - 2 = 2d - 4

5n = 3d and 2n - 4 = d - 2

3n = 5d and 2n - 4 = d - 2

Answer:

5n = 3d and 2n – 4 = d – 2

Solution:

Let n be the numerator of the fraction and d be the denominator of the fraction.

Given the numerator and denominator of a fraction are in the ratio of 3 to 5.

This can be written as n : d = 3 : 5.

⇒ $\frac{n}{d}= \frac{3}{5}$ – – – – (1)

Do cross multiplication, we get

⇒ 5n = 3d

When the numerator and denominator are decreased by 2, the fraction is equal to $\frac{1}{2}$ .

⇒ $\frac{n-2}{d-2}= \frac{1}{2}$

Do cross multiplication, we get

⇒ 2(n –2)=1(d – 2)

⇒ 2n – 4 = d – 2

Hence, 5n = 3d and 2n – 4 = d – 2 can be used to solve the problem.

6 0

3 years ago

Read 2 more answers

Find thedegree of the algebraicexpression:3x^3 + 3x^2y^2 - y^2​

Find thedegree of the algebraicexpression:3x^3 + 3x^2y^2 - y^2