Ask question

Ask question

All categories

3 years ago

10

(09.02 HC)

1 answer:

Vesna [10]3 years ago

4 0

We factor the equation to get:

-(x-25)^2+361

In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.

B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.

You might be interested in

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3) explain and show all steps

spayn [35]

Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3

<em><u>Solution:</u></em>

Given that,

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)

Here "times" represent multiplication

<em><u>The above sentence can be written mathematically as:</u></em>

$\frac{-2}{5} \div \frac{8}{9} \times \frac{2}{9} \div \frac{-1}{3}$

Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal

$\rightarrow \frac{-2}{5} \times \frac{9}{8} \times \frac{2}{9} \times \frac{3}{-1}$

Cancelling the common terms in numerator and denominator,

$\rightarrow \frac{-2}{5} \times \frac{1}{8} \times \frac{2}{1} \times \frac{3}{-1}$

Multiplying terms in numerator and denominator,

$\rightarrow \frac{-12}{-40}$

Negative sign in numerator and denominator cancels each other

$\rightarrow \frac{-12}{-40} = \frac{12}{40}$

Reducing to lowest terms we get,

$\rightarrow \frac{12}{40} = \frac{3}{10}$

In decimal form we get,

$\rightarrow \frac{3}{10} = 0.3$

Thus solution to given expression is 0.3

8 0

3 years ago

The shape of the top surface of a table is a trapezium. Find its area

qaws [65]

Answer:

0.88m²

Step-by-step explanation:

Area of a trapezium = 1/2(a+b)h

a and b are the parallel sides

h is the height

Given

a = 1m

b = 1.2m

h = 0.8m

Substitute

Area of the trapezium = 1/2(1+1.2)(0.8)

Area of the trapezium = 1/2(2.2)(0.8)

Area of the trapezium = 1.1 * 0.8

Area of the trapezium = 0.88m²

7 0

3 years ago

Solve the equation v^3=80

Luba_88 [7]

Answer:

4.31

Step-by-step explanation:

Find the cube root of both sides of the equation.

$^3\sqrt{v^3}$ = $^3\sqrt{80}$

The cube root will cancel out the cubed in the variable.

v = $^3\sqrt{80}$

Find the cube root of 80. I rounded to the nearest hundredth.

v = 4.31

3 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!!

lesantik [10]

1/6x >= 5

6 (1/6x)>=6 (5)

x>=30

35,32,40

3 0

4 years ago

Adjust the estimated digit in the quotient 29÷2276=

AleksandrR [38]

You just divide basicly right?

So like

29/2276=0.01274725

If you have to Estimate you divide whats outside the división box which is 29

Then you divide 29 with the answer which is 0.01274725

Then you answer to that would be 2275.00049 which shows that it is close enough to 2276.

If I'm wrong I'm Sorry but Yeah

8 0

3 years ago