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3 years ago

4.

Mathematics

1 answer:

Zarrin [17]3 years ago

5 0

Answer:

t=-6

Step-by-step explanation:

-4t-4=20 (move constant to the right)

-4t=20+4 (Calculate 20 + 4)

-4t= 24 (then divide 24 on both sides)

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In one year, 144 of the people enrolled in a college went on a winning outreach during the college year. It was 4/5 of the peopl

Rudiy27

The school has 180 students 144 went 36 did not go to the outreach

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3 years ago

Simplify this radical expression → 3√24

borishaifa [10]

Answer:

$\\\sqrt[1]{8}$ $\sqrt[1]{8}$

Step-by-step explanation:

6 0

3 years ago

Five more than the quotient of a number and 3 equals 2.

MakcuM [25]

Answer:

$\large\boxed{\dfrac{n}{3}+5=2\ or\ n:3+5=2}$

Step-by-step explanation:

$\dfrac{n}{3}+5=2\\\\\dfrac{n}{3}-\text{the quotient of a number}\ n\ \text{ and 3}\\\\...+5-\text{five more than}$

If you want a solution:

$\dfrac{n}{3}+5=2$ subtract 5 from both sides

$\dfrac{n}{3}+5-5=2-5$

$\dfrac{n}{3}=-3$ multiply both sides by 3

$3\!\!\!\!\diagup\cdot\dfrac{n}{3\!\!\!\!\diagup}=(3)(-3)\\\\n=-9$

4 0

3 years ago

iTunes and Amazon each have plans for downloading music. iTunes charges $5.00 to join and $0.75 per song. Amazon has no fee to j

aleksandrvk [35]

Answer:

20 songs.

Step-by-step explanation:

we are given that, iTunes charges $5.00 to join and $0.75 per song.

Amazon has no fee to join and charges $1.00 per song.

Let x songs would you have to download (same number of downloads for each company) so that the prices are the same.

Then we can write

$5+0.75x=1x\\\text{take like terms together by adding -0.75x on both the sides}\\5+0.75x-0.75x=1x-0.75x\\5=0.25x\\\text{Divide both the sides by 0.25}\\x=20$

7 0

3 years ago

The graph of F ( x ) = 4/x2 - 2x - 3 is shown for which values of X is f ( x ) decreasing

Elza [17]

Hi there!

$\large\boxed{(-\infty, \sqrt[3]{-4}) \text{ and } (0, \infty) }$

We can find the values of x for which f(x) is decreasing by finding the derivative of f(x):

$f(x) = \frac{4}{x^2} - 2x - 3$

Taking the derivative gets:

$f'(x) = -\frac{8}{x^3} - 2$

Find the values for which f'(x) < 0 (less than 0, so f(x) decreasing):

0 = -8/x³ - 2

2 = -8/x³

2x³ = -8

x³ = -4

$x = \sqrt[3]{-4}$

Another critical point is also where the graph has an asymptote (undefined), so at x = 0.

Plug in points into the equation for f'(x) on both sides of each x value to find the intervals for which the graph is less than 0:

f'(1) = -8/1 - 2 = -10 < 0

f'(-1) = -8/(-1) - 2 = 6 > 0

f'(-2) = -8/-8 - 2 = -1 < 0

Thus, the values of x are:

$(-\infty, \sqrt[3]{-4}) \text{ and } (0, \infty)$

6 0

3 years ago