Multiply: Using FOIL method (x-8)^3

1 answer:

6 0

(x - 8)³
(x - 8)(x - 8)(x - 8)
(x² - 8x - 8x + 64)(x - 8)
(x² - 16x + 64)(x - 8)
(x³ - 8x² - 16x² + 128x + 64x - 512)
x³ - 24x² + 192x - 512

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Lim t^4 - 6 / 2t^2 - 3t + 7

Harman [31]

I think you meant to say

$\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}$

(as opposed to x approaching 2)

Since both the numerator and denominator are continuous at t = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

$\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}$

Because these expressions are continuous at t = 2, we can compute the limits by evaluating the limands directly at 2:

$\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}$

6 0

2 years ago

Compute the value of the discriminant and give the number of real solutions of the quadratic equation.

Sergio039 [100]

$-2x^2+6x-3=0 \\ \\
a=-2 \\ b=6 \\ c=-3 \\ \Delta=b^2-4ac=6^2-4 \times (-2) \times (-3)=36-24=12$

The value of the discriminant is 12.
Since the discriminant is greater than zero, the equation has two real solutions.

4 0

3 years ago

PLEASE HELP ME WITH THIS!!!! ILL GIVE BRAINLIEST

Rina8888 [55]

Answer:

Below.

Step-by-step explanation:

We have 6/6 the radius and 10/30 that means the height of b is 3 times greater then a therefore the answer is D.

7 0

2 years ago

Read 2 more answers

What is the percentage between 1192.64 and 819.73

Licemer1 [7]

1192.64-819.73 is 372.91

so... if we take 1192.64 to be the 100%, how much is 372.91 in percentage then?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1192.64&100\\
372.91&p
\end{array}\implies \cfrac{1192.64}{372.91}=\cfrac{100}{p}\implies p=\cfrac{372.91\cdot 100}{1192.64}$

3 0

2 years ago

If r is seven more than the square of l, then r =

xenn [34]

I think its r=I+7 because that would be the equation

6 0

3 years ago