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Liono4ka [1.6K]
3 years ago
9

Z÷6+x+x-5;use x=1and z=6

Mathematics
2 answers:
blondinia [14]3 years ago
5 0

Answer:

3

Step-by-step explanation:

navik [9.2K]3 years ago
3 0

Answer:

7

Step-by-step explanation:

6÷ 6+1+1-5=7

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List the potential rational zeros of the polynomial function. Do not find the zeros.f(x) = x5 - 3x2 + 3x + 14
uysha [10]
f(x) = x^5 - 3x^2 + 3x + 14\\\\14\to\{\pm1;\ \pm2;\ \pm7;\ \pm14\}\ and\ \left\{\pm\dfrac{1}{14};\ \pm\dfrac{1}{7}; \pm\dfrac{1}{2}\right\}
4 0
3 years ago
HELPPPP 100 points if you help!!!!
nignag [31]

Answer:

Part A)

Chorus:

c(t)=15(1.12)^t

Band:

b(t)=2t+30

Part B)

After 9 years:

The chorus will have about 41 people.

And the band will have 48 people.

Part C)

About approximately 11 years.

Step-by-step explanation:

We are given that there are 15 people in the chorus. Each year, number of people in the chorus increases by 12%. So, the chorus increases exponentially.

There are 30 people in the band. Each year, 2 new people join the band. So, the band increases linearly.

Part A)

Since after each year, the number of people in the chorus increases by 12%, the new population will be 112% or 1.12 of the previous population.

So, using the standard form for exponential growth:

c(t)=a(r)^t

Where <em>a</em> is the initial population and <em>r</em> is the rate of change.

We will substitute 15 for <em>a </em>and 1.12 for <em>r</em>. Hence:

c(t)=15(1.12)^t

This represents the number of people in the chorus after <em>t</em> years.

We are given that 2 new people join the band each year. So, it increases linearly.

Since there are already 30 people in the band, our initial point or y-intercept is 30.

And since 2 new people join every year, our slope is 2. Then by the slope-intercept form:

b(t)=mt+b

And by substitution:

b(t)=2t+30

This represents the number of people in the band after <em>t</em> years.

Part B)

We want to find the number of people in the chorus and the band after 9 years.

Using the chorus function, we see that:

c(9)=15(1.12)^9\approx41.59\approx41

There will be approximately 41 people in the chorus after 9 years.

And using the band function, we see that:

b(9)=2(9)+30=48

There will be 48 people in the band after 9 years.

Part C)

We want to determine after approximately how many years will the number of people in the chorus and band be equivalent. Hence, we will set the two functions equal to each other and solve for <em>t</em>. So:

15(1.12)^t=2t+30

Unfortunately, it is impossible to solve for <em>t</em> using normal analytic methods. Hence, we can graph them. Recall that graphically, our equation is the same as saying at what point will our two functions intersect.

Referring to the graph below, we can see that the point of intersection is at approximately (10.95, 51.91).

Hence, after approximately 11 years, both the chorus and the band will have approximately 52 people.

5 0
2 years ago
PLZZZ HELPPP ME ASAP!!!
Sonja [21]

Answer:

Not a function.

Does not pass vertical line test.

B.

Step-by-step explanation:

Something called a vertical line test is used to determine if a relation that has been graphed is a function or not.

We say if it passes then it is a function.

It will pass if you are able to draw infinitely many vertical lines covering the whole graph and each vertical line either touches your relation once or none.  

If a single vertical line that you draw touches more than once, then it isn't a function.

When I say draw, I don't mean you should physically do it, but more so imagine it.

Now this particular relation is not a function because I can find a vertical line that touches more than once.  Take the vertical line x=5 for example.

It will touch at (5,-6) and (5,6). You cannot have an x assigned to more than one y.

4 0
2 years ago
Can someone help me with this
VladimirAG [237]

Answer:

its red

Step-by-step explanation:

math. lol

8 0
3 years ago
Alex makes $61,992 per year and pays about 25% of his gross monthly income in federal and state taxes. He wants to find an apart
ivanzaharov [21]

Answer:

Rent each month = $1421

Amount left after rent and taxes monthly = $2453

Step-by-step explanation:

Gross salary; $61,992 per year

His gross pay per month will be;

61992/12 = $5166

Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.

Now, let's adopt an average of 27.5%

Thus;

Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421

We are told he pays 25% of his gross monthly income in federal and state taxes.

Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292

Thus, amount he will gave left after rent and taxes = 5166 - (1421 + 1292) = $2453

4 0
3 years ago
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