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3 years ago

How do you times unlike fractions ??

1 answer:

8 0

With any fraction, no matter what its denominator (bottom part), you multiply the numerators (tops) by each other and the denominators (bottoms) by each other.

For example,

$\dfrac{5}{4} * \dfrac{8}{7} = \dfrac{(5)(8)}{(4)(7)} = \dfrac{40}{28} = \dfrac{10}{7}$

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Use the definition of continuity to determine whether f is continuous at a. f(x) = 5x+5 a = -5 Question

Andrej [43]

ANSWER

$lim_{x \to - 5}(f(x)) = f( - 5)$

EXPLANATION

If f(x) is continuous at

$x = a$

Then,

$lim_{x \to a}(f(x)) = f(a)$

The given function is

$f(x) = 5x + 5$

$f( - 5) = 5( - 5) + 5$

$f( - 5) = - 25 + 5 = - 20$

$lim_{x \to - 5}(f(x)) = 5( - 5) + 5$

$lim_{x \to - 5}(f(x)) = - 20$

Since,

$lim_{x \to - 5}(f(x)) = f( - 5)$

The function is continuous at

$x = - 5$

4 0

3 years ago

Read 2 more answers

What is the first step when rewriting y = 3x2 + 9x - 18 in the form y = a(x h)^2 + k?

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

y = 3*2 + 9x - 18

First step in this case is to multiply 3 * 2 = 6.

Then you would have: 6 + 9x - 18

4 0

3 years ago

What is the remainder when (x^3 1) is divided by (x^2 – x 1)?<br> x 1<br> x<br> 2<br> 0

labwork [276]

Hello,
$x^3+1=(x+1)(x^2-x+1)\\
Remainder\ is \ 0\\\\

$

Answer D

4 0

3 years ago

The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distan

OleMash [197]

Answer:

$S_g= 33.333cm$

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

$S_g=\frac{a(1-r^n)}{1-r}$

Mathematically solving for total distance traveled we have

$S_g=\frac{30(1-(0.10^5)}{1-(0.10)}$

$S_g=\frac{30}{0.9}$

Therefore the total distance traveled by the pendulum after 5 swings

$S_g= 33.333cm$

3 0

3 years ago

Divide (x4 – 11x3 – 49x2 + 899x – 2506) ÷ (x – 8).

pickupchik [31]

Okay first make sure you change negative 8 to a positive 8.
Set the problem up 8 -11 -49 899 -2506
__________________
8 -11 -49 899 -2506
-88 -1096 -1576
____________________
-11 -137 -197 -4082

Your answer will be
-11x^3 - 137x^2 - 197x - 4082

6 0

3 years ago