All categories

3 years ago

If (a+b) = 4 and ab = 3, find the value of a³+b³.

Mathematics

1 answer:

Stolb23 [73]3 years ago

8 0

Answer:

Step-by-step explanation:

a³+b³= (a+b)³ - 3ab(a+b)

= 4³ -3×3×4 = 64-36 = 28

You might be interested in

Solve for x write the exact answer using either base -10 or base-e logarithms

jeka57 [31]

Given:

The given expression is $2^{x+5}=13^{2 x}$

We need to determine the value of x using either base - 10 or base - e logarithms.

Value of x:

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if $f(x)=g(x)$ then $\ln (f(x))=\ln (g(x))$

Thus, we get;

$\ln \left(2^{x+5}\right)=\ln \left(13^{2 x}\right)$

Applying the log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ , we get;

$(x+5) \ln (2)=2 x \ln (13)$

Expanding, we get;

$x \ln (2)+5 \ln (2)=2 x \ln (13)$

Subtracting both sides by $5 \ln (2)$ , we get;

$x \ln (2)=2 x \ln (13)-5 \ln (2)$

Subtracting both sides by $2 x \ln (13)$ , we get;

$x \ln (2)-2 x \ln (13)=-5 \ln (2)$

Taking out the common term x, we have;

$x( \ln (2)-2 \ln (13))=-5 \ln (2)$

$x=\frac{-5 \ln (2)}{\ln (2)-2 \ln (13)}$

$x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

Thus, the value of x is $x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

6 0

3 years ago

HELP HELP HELP Find X for the log function! Please include the steps

Keith_Richards [23]

Answer: yield x

Step-by-step explanation: Definition. The logarithm is denoted "logb x" (pronounced as "the logarithm of x to base b" or "the base-b logarithm of x" or (most commonly) "the log, base b, of x"). In the equation y = logb x, the value y is the answer to the question "To what power must b be raised, in order to yield x?".

7 0

2 years ago

What is 5/100 fraction?

MrRa [10]

5/100=

5 ÷ 5

100 ÷ 5

Reduced fraction:

1 /20

8 0

3 years ago

Which is an advantage of using a checking account?

Nadusha1986 [10]

You don’t have to worry about identity thief

7 0

3 years ago

Read 2 more answers

3. A vacuum robot is in a room and charging at position (0, 5). Once charged, it begins moving on a northeast path at a constant

kifflom [539]

A. (18,29)
B. 3x + 4y = 170
C. 50 feet
D. Y=5; 100sec

5 0

3 years ago

If (a+b) = 4 and ab = 3, find the value of a³+b³.​

If (a+b) = 4 and ab = 3, find the value of a³+b³.