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3 years ago

What the common multiple of 10

Mathematics

1 answer:

Viktor [21]3 years ago

5 0

Answer:

20 30 40 40 50 60 70 80 90 100

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liberstina [14]

Answer:

Inverse of f exists.

Step-by-step explanation:

From the graph attached,

If we do the horizontal line test for the function graphed,

We find the function as one to one function.

In other words for every input value (x-value) there is a different output value.

Since, for one-to-one functions, inverse of the functions exist.

Therefore, the answer will be,

The inverse of 'f' exists.

7 0

3 years ago

Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a

Bond [772]

$f(x)=3\sin x+3\cos x\implies f'(x)=3\cos x-3\sin x$

$f$ has critical points where $f'=0$ :

$3\cos x-3\sin x=0\implies\cos x=\sin x\implies\tan x=1\implies x=\pm\dfrac\pi4+2n\pi$

where $n$ is any integer. We get solutions in the interval $\left[0,\frac\pi3\right]$ for $n=0$ , for which $x=\frac\pi4$ .

At this critical point, we have $f\left(\frac\pi4\right)=3\sqrt2\approx4.243$ .

At the endpoints of the given interval, we have $f(0)=3$ and $f\left(\frac\pi3\right)=\frac{3+3\sqrt3}2\approx4.098$ .

So we have the extreme values

$\max\limits_{x\in\left[0,\frac\pi3\right]}f=3\sqrt2$

$\min\limits_{x\in\left[0,\frac\pi3\right]}f=3$

8 0

3 years ago

Calculate the speed of a car that went a distance of 125 miles in 2 hours time.

DerKrebs [107]

Answer:

62.5

Step-by-step explanation:

speed = distance / time taken

= 125/2

=62.5miles per hour

5 0

3 years ago

Leila and jo are two of the partners in a business. Leila makes $3 in profits for every $4 that jo makes. If jo makes $60 profit

Aleonysh [2.5K]

Let

x-------> Leila 's profit

y------> Jo's profit

we know that

$\frac{x}{y} =\frac{3}{4}$ ----------> equation $1$

For $y=\$60$

Find the value of x

Substitute the value of y in the equation $1$

$\frac{x}{60} =\frac{3}{4}$

$x=60*\frac{3}{4}$

$x=\$45$

therefore

the answer is

Leila make $\$45$ in profit

5 0

3 years ago

Read 2 more answers

Helphelphelphelphelphelphelphelphelphelp

victus00 [196]

Answer:

u=-6

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers