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3 years ago

Solve the equation using the quadratic formula -x^2+27=6x

Mathematics

2 answers:

san4es73 [151]3 years ago

8 0

$-x^{2}+27=6x\\-x^{2}-6x+27=0$

Quadratic formula

$\frac{-(-1)±\sqrt{6^{2}-4(-1)(27)}}{2(1)}$

$\frac{1±\sqrt{36+108}}{2}$

$\frac{1±\sqrt{144}}{2}$

$\frac{1±12}{2}$

$\frac{1+12}{2}=\frac{13}{2}=6.5\\\\\frac{1-12}{2}=\frac{11}{2}=-5.5$

6.5 or -5.5

MrMuchimi3 years ago

7 0

The answer is:

X= -9, 3

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Ben walks 25 miles from home to work. If he walks the first 5 miles in 1 hour, the second 5 miles in 1.4 hours, the third 5 mile

natka813 [3]

<u>Answer:</u>

The total time taken to complete 25 miles is 7.6 hours.

Solution:

Ben walks 5 miles in 1 hour,

Second 5 miles in 1.4 hours,

Third 5 miles in 1.7 hours,

Last 5 miles in 1.8 hours

So he walked total 20 miles in (1+1.4+1.7+1.8) hours = 5.9 hours = 6 hours (approximately)

So his average speed is $\left(\frac{20}{6}\right)$ miles/hours = 3.33 miles/hours.

i.e. he travels 3.3 miles in 1 hour,

Then, he travels 1 miles in $\left(\frac{1}{3.3}\right)$ hours

Hence the total time he will take to walk 25 miles is $\left(25 \times\left(\frac{1}{3.3}\right)\right) \text { hours }$ $\Rightarrow \left(\frac{25}{3.3}\right) \text { hours } = 7.5757 hours$

That is approximately 7.57 or 7.6 hours.

8 0

3 years ago

Hurry!

NARA [144]

Ans(a):

Given function is $f(x)=\frac{3x-1}{x+4}$

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.

Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

$g(x)=\frac{3x-1}{x+4}+4$

We may simplify this equation but that is not compulsory.

Comparision:

Graph of g(x) will be just 4 unit upward than graph of f(x).

Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

$8=\frac{3x-1}{x+4}+4$

$8-4=\frac{3x-1}{x+4}$

$4=\frac{3x-1}{x+4}$

$4(x+4)=(3x-1)$

$4x+16=3x-1$

4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0

4 years ago

Over the last 3 years, salesperson A has earned twice as much as salesper B who in turn has averaged 50% more than salesper C. T

bekas [8.4K]

<span>A has earned twice as much as B so: A=2B
B has averaged 50% more than C so: B=C+0.5C
Combined is 220K, So A+B+C=220,000

The last equation can be re-written as:
2B+1.5C+C=220K
AND since A=2B, it can be rewritten again as:
3C+1.5C+C=220K

Now you can get C finally, since B=1.5C you can get B, then to get the average, just divide that by 3 (years) and you should be done.
So B = 60000 for 3 years</span>

4 0

3 years ago

Read 2 more answers

Can someone heelp me with this i just dont understand it

poizon [28]

Answer:

I CAN!

Step-by-step explanation:

First, where does the line start?

y=1

It looks like it goes up, and then right each one unit. No?

So that would be

Y=1+1

Warning! DO NOT say y=2. That is no good. You probably want to simplify it, but dont. Okay?

Happy to help

ОωО

6 0

3 years ago

Diego wants to have $1,000,000 in 5 years. He plans to invest $250,000 to start and make yearly payments of $125,000 to the acco

julia-pushkina [17]

Answer:

Yes

Step-by-step explanation:

With the $875,000 from his input alone he is really close to $1,000,000 and doing simple intrest on the $250,000 is $105,000 a year is he earns 3.5% intrest a month.

So in 5 years he'll have about $1,662,500 using simple intrest but with compound it'd be more like 2mil

Hope this helps!

5 0

2 years ago