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3 years ago

PLEASE HELP!!! How many solutions does each polynomial have?

Mathematics

1 answer:

kkurt [141]3 years ago

5 0

Try using M-A-T-H-W-A-Y it is very helpful

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Expand using the properties and rules for logarithms

malfutka [58]

Consider expression $\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right).$

1. Use property

$\log_a\dfrac{b}{c}=\log_ab-\log_ac.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2.$

2. Use property

$\log_abc=\log_ab+\log_ac.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2.$

3. Use property

$\log_ab^k=k\log_ab.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2.$

4. Use property

$\log_{a^k}b=\dfrac{1}{k}\log_ab.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{2^{-1}}2=\\ \\=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+\log_22=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+1.$

Answer: correct option is B.

7 0

3 years ago

Please help me! I have to sumbmit in 15 minutes!

kompoz [17]

Answer:

The answer is 1030 ml

Hope this helps

5 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST ASAP NEEDED PLS ANSWER HELP

Alika [10]

Answer:

$47,520

Step-by-step explanation:

the area of a polygon is/

A= perimeter X apothem /2

A=500

apothem = 10

500 = (P * 10)/2

P =100

B. 100*7.95 = $795

60*100= 6,000

6,000 * $7.95=

$47,520

7 0

3 years ago

40.4 Kilograms round to the nearest hundreth

Romashka-Z-Leto [24]

Answer: 40.4 rounded to the nearest hundredth would be 40.40

Step-by-step explanation: There is no oneth in decimals so it goes from tenth, to hundredth, to thousandth. Since there is no number in the hundredth or thousandth's space, you would put a zero in both spots. zero in the thousandths is NOT greater than 5 so the zero in the hundredths space will stay as a zero, making the answer 40.40

3 0

3 years ago

Read 2 more answers

Simplify the following rational expression.

Jet001 [13]

9514 1404 393

Answer:

(x-8)/(4x-4) x ≠ 1 or 8

Step-by-step explanation:

Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.

$\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}$

The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.

8 0

3 years ago

PLEASE HELP!!! How many solutions does each polynomial have?​

PLEASE HELP!!! How many solutions does each polynomial have?