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3 years ago

Number 10 please and can you write a equation thanks

Mathematics

1 answer:

Fed [463]3 years ago

8 0

The anwser is 6.5 hours and if you add your problem you will get you anwser.

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PLZ HELP IM 100% LOST ON THIS

xenn [34]

The equation $f(x)=g(x)$ is

$|x-4|-11=-\sqrt{5x}$

Some observations:

$\sqrt{5x}$ is defined only as long as $5x\ge0$ , or $x\ge0$
wherever $\sqrt{5x}$ is defined, its value must be non-negative, so that $-\sqrt{5x}$ is never positive
by the definition of absolute value, we have $|x-4|=x-4$ if $x\ge4$ , and $|x-4|=-(x-4)=4-x$ if $x$ . Then

$|x-4|-11=\begin{cases}x-15&\text{for }x\ge4\\-x-7&\text{for }x$

If $x$ , the equation becomes

$-x-7=-\sqrt{5x}\implies x+7=\sqrt{5x}$

Taking the square of both sides gives

$(x+7)^2=\left(\sqrt{5x}\right)^2\implies x^2+14x+49=5x\implies x^2+9x+49=0$

but since the discriminant is $9^2-4\cdot1\cdot49$ , there are no real solutions.

If $x\ge4$ , then

$x-15=-\sqrt{5x}$

Taking squares gives

$(x-15)^2=\left(-\sqrt{5x}\right)^2\implies x^2-30x+225=5x$

and solving by the quadratic formula gives two potential solutions,

$x=\dfrac{35\pm5\sqrt{13}}2$

which have approximate values of 8.49 and 26.51.

We know for any value of $x$ that $g(x)\le0$ . We have $f(8.49)\approx-6.51$ and $f(26.51)\approx11.51$ , so only the first solution 8.49 is valid.

8 0

4 years ago

Where should 0.3% be placed in the Venn diagram?

Anit [1.1K]

Answer:

bottom

Step-by-step explanation:

7 0

3 years ago

Denny lives in Maryland and pay 6% in sales tax. He just bought $145 in groceries, but $70 worth of those groceries were non tax

SpyIntel [72]

the answer should $201.25

6 0

4 years ago

Read 2 more answers

The size P of a small herbivore population at time t (in years) obeys the function P(t) = 1000e0-16t if they have enough food an

Stells [14]

Answer:

After 9 years, the population reach 4000.

Step-by-step explanation:

The given function P(t) represents the size of a small herbivore population at time t (in years).

$P(t)=1000e^{0.16t}$

We need to find the number of years after which population reach 4000.

Substitute P(t)=4000 in the above function.

$4000=1000e^{0.16t}$

Divide both sides by 1000.

$4=e^{0.16t}$

Taking ln on both sides.

$\ln 4=\ln e^{0.16t}$

$1.3863=0.16t$ $[\because \ln e^x=x]$

Divide both sides by 0.16.

$\dfrac{1.3863}{0.16}=t$

$8.664375=t$

We need to find the number of years. So, round the answer to the next whole number.

$t\approx 9$

Therefore, after 9 years, the population reach 4000.

5 0

3 years ago

Twenty people get into an elevator in a hotel with seven floors, and all of them get off at some point. How many different possi

attashe74 [19]

Answer:

There are 7^20 possibilities fir the people to get off the elevator

Step-by-step explanation:

I am going to assume that some people (but not neccesarily all) get into the elevator in the low level and none at the highest. Since we are looking for the possibilities for the people to get off the elevator, we can assume that everyone get into in the low level, because this case will contain every possible scenario. Each person has 7 possible ways to get off, hence 20 person will have 7 possibilities powered 20 times, hence there are 7^20 possibilities fir the people to get off the elevator.

8 0

4 years ago