Find the sum of the first 21 terms of the sequence 5,9, 13, 17, 21, ...

Subtract 8x + 2 from 4x – 6

Fantom [35]

Answer:

-4x-8

Step-by-step explanation:

First, set them up as (4x-6) - (8x +2).

Then simplify.

4x-6-8x-2

4x-8x-6-2

-4x-8

7 0

2 years ago

Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?

lutik1710 [3]

18 cm is correct .

Step-by-step explanation:

The sum of two smaller sides is greater that the largest side.

It is given that the two sides of a triangle measure 8 cm and 15 cm.

Case 1: Let 8 cm and 15 cm. are smaller side. So,

Third side < 8 + 15

Third side < 23

It means 3rd side must be less than 23

Case 2: Let 15 cm is the largest side.

15 < Third side + 8

15 - 8 < Third side

7 < Third side

It means 3rd side must be greater than 7.

Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.

8 0

2 years ago

The price of a television was reduced from 250 to 200. by what percentage was the price of the television reduced

Murljashka [212]

Answer:

20%

Step-by-step explanation:

We can start by finding out how much the price of the television was reduced by.

250 - 200 = 50

Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:

$x\%\times 250=50$

Notice that a percentage can also be written as that number over 100.

$\frac{x}{100}\times250=50$

$\frac{250x}{100}=50$

Reduce the fraction (250 and 100 have a common factor of 10)

$\frac{25x}{10}=50$

Reduce the fraction again (25 and 10 have a common factor of 5)

$\frac{5x}{2}=50$

Multiply both sides by two

$5x=100$

Divide both sides by 5

$x=20$

Therefore the price of the television was reduced by 20%.

4 0

1 year ago

If mZ1 = 42, what is m Z2

zhannawk [14.2K]

Answer:

48?

Step-by-step explanation:

4 0

3 years ago

Rewrite the polynomial-9x^5+36x^4+189x^3 in factored form, using the factoring method method you prefer.

ozzi

The polynomial 9x^5+36x^4+189x^3 in factored form is $-9 x \times x \times x \times(x-7) \times(x+3)$

Solution:

Given, polynomial equation is $-9 x^{5}+36 x^{4}+189 x^{3}$

We have to find the factored form of the above given polynomial equation.

Let us solve it by grouping.

Now, take the polynomial ⇒ $-9 x^{5}+36 x^{4}+189 x^{3}$

By taking common term out, we get

$\rightarrow-9 x^{3}\left(x^{2}-4 x-21\right)$

$\rightarrow-9 x^{3}\left(x^{2}-(7-3) x-7 \times 3\right)$

Grouping the terms we get,

$\rightarrow-9 x^{3}\left(\left(x^{2}-7 x\right)+(3 x-7 x^3)\right)$

Taking common terms out from each group,

$\rightarrow-9 x^{3}(x(x-7)+3(x-7))$

$\Rightarrow-9 x^{3}((x-7)(x+3))$

$\rightarrow-9 x \times x \times x \times(x-7) \times(x+3)$

Thus the factored form of polynomial is found out

4 0

3 years ago