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kakasveta [241]
3 years ago
15

The function f(x) = −x2 + 16x − 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number

of candles sold, and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem?

Part B: Determine the x-intercepts. What do these values mean in the context of the problem?

Mathematics
2 answers:
castortr0y [4]3 years ago
5 0
I wrote it out on paper and uploaded the answer for you. Let me know if you have any questions.

natima [27]3 years ago
5 0

Answer

the vertex is the maximun and the coordinates are 4 and 10

Step-by-step explanation:

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Write an equation of the line that passes through point p and is perpendicular to the line with the given equation
goldenfox [79]
Do you have the specific point??

Remember, if 2 lines are perpendicular, their slopes are opposite reciprocals. So if one line has a slope of 4, the other line should have a slope of -1/4.

Hopefully your equation is in y=mx+b form. If so,

make sure you know slope (m) and the y-intercept. After this is done, plug in the points from p for y and x, and make sure to turn m into -1/m. Solve for b, and your new equation should be y=(new slope)x+(new y-intercept)
5 0
3 years ago
Jason and Karina have matching gardens Jason plants 2/3 of his garden with roses Karina's garden is divided into ninths how much
olganol [36]

Answer:

6/9

Step-by-step explanation:

5 0
3 years ago
What is 2x+8y=12 in slope intercept form <br>as well as x-2y=0 in slope intercept form 
earnstyle [38]
the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\ 2x+8y=12 \ \ |-2x \\ \\8y=-2x+12\ \ /:8\\ \\y=-\frac{2}{8}x+\frac{12}{8}

y=-\frac{1}{4}x+\frac{3}{4}\\ \\ m=-\frac{1}{4}



x-2y=0 \ \ | -x \\ \\-2y=-x \ \ /:(-2)\\ \\y=\frac{1}{2}x \\ \\ m= \frac{1}{2}






8 0
3 years ago
Read 2 more answers
According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction.
klemol [59]

Answer:

a) the expected number of tweets with no reaction is 71 tweets

b) the variance is 20.59 tweets² ( ≈ 21 tweets )and the standard deviation is

4.537 tweets (≈ 5 tweets)

Step-by-step explanation:

we can use the binomial probability distribution

P(x, N, p ) = N!/[(N-x)!x!] * p^x * (1-p)^(N-x)

where

x = number of successful events

N = population total

p = probability for success for every individual and independent event

P = probability for x successful events

in our case p = 71% = 71/100 (probability of a tweet without reaction) , N = 100 tweets

a) the expected number of tweets

E(x) = N* p = 100 tweets * 71/100 = 71 tweets

b) the variance is

V(x) = N * p * (1-p)

V = 100 * 71/100 * (1-71/100) = 71* 29/100 = 20.59 tweets² ( units of variance are [N²] )

the standard deviation is

s = √V = √20.59 tweets² = 4.537 tweets

6 0
3 years ago
Find the taxable income of a married couple with two children, who have a combined income of $75,000.
Dima020 [189]

Answer:

$47,200

Step-by-step explanation:

Given :

The total income of a married couple =  $75,000.

Number of children = 2

Therefore to find the taxable income of  a U.S.  family is given by the following formula ---

taxable income = total income- exemption deduction - standard deduction

We know that exemption deduction for a U.S couple as fixed by the government is $15,600.

And the standard deduction for a U.S couple as fixed by the government is $12,200.

Thus in order to find the taxable income of the couple, use the formula

taxable income = total income- exemption deduction - standard deduction

                          = $75,000 - $15,600 - $12,200

                          = $47,200.

Thus the taxable income is $47,200.

8 0
4 years ago
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