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jeyben [28]
2 years ago
7

F(x) = -4(x+3)+6(x+4)

Mathematics
1 answer:
loris [4]2 years ago
5 0

Answer:

zero of the function occurs at x = -6

Step-by-step explanation:

Given f(x) = -4(x+3)+6(x+4)

Since the question is incomplete, we can as well find the zero of the given function. The zero exists when f(x) = 0

Hence;

-4(x+3)+6(x+4) = 0

Expand

-4x - 12 + 6x + 24 = 0

Collect the like terms

-4x + 6x - 12 +24 = 0

2x + 12 = 0

2x = -12

x = -12/2

x = -6

Hence the zero of the function occurs at x = -6

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Determine the domain on which the following function is decreasing.
dexar [7]
The way I remember domain(the distance where x is shown) and range(the distance where y is shown) is that it lines up with an ordered pair. It sounds wrong to say range and domain, just like it sounds wrong to say y,x.

the answer for this would be [0,11]

7 0
3 years ago
Parallelogram area help!!!
alexgriva [62]

Answer:

11

Step-by-step explanation:

a = d1+d2 all divided by 2

7+7+4+4/2

14+8/2

22/2

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4 0
2 years ago
A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the
Nana76 [90]

Answer:

a) There is a 15.3% probability that a randomly selected person in this country is 65 or older.

b) Given that a person in this country is uninsured, there is a 2.2% probability that the person is 65 or older.

Step-by-step explanation:

We have these following percentages:

5.3% of those under the age of 18, 12.6% of those ages 18–64, and 1.3% of those 65 and older do not have health insurance.

22.6% of people in the county are under age 18, and 62.1% are ages 18–64.

(a) What is the probability that a randomly selected person in this country is 65 or older?

22.6% are under 18

62.10% are 18-64

The rest are above 65

So

100% - (22.6% + 62.10%) = 15.3%

There is a 15.3% probability that a randomly selected person in this country is 65 or older.

b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older?

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So, what is the probability that a person is 65 and older, given that the person is uninsured.

P(B) is the probability that a person is 65 and older. From a), we have that P(B) = 0.153

P(A/B) is the probability is uninsured, given that that person is 65 and older. So P(A/B) = 0.013

P(A) is the probability that a person is uninsured. That is the sum of 5.3% of 22.6%, 12.6% of 62.1% and 1.3% of 15.3%. So:

P(A) = 0.053*(0.226) + 0.126*(0.621) + 0.013*(0.153) = 0.0922

So

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.153*0.013}{0.0922} = 0.022

Given that a person in this country is uninsured, there is a 2.2% probability that the person is 65 or older.

6 0
2 years ago
A computer can access data at 2 megabytes per second. How fast is this in megabytes per hour?
muminat
2x60=**
**x60=**

hope that helped
** means total
3 0
3 years ago
Helppppppppppppp. a and b partttt​
PilotLPTM [1.2K]

Answer:

a) 220.17 cm

b) 2127.12 cm²

Step-by-step explanation:

perimeter = circumference

it is the sum of the inner and the outer arc and the 2 side lines of 25.

we know a full circle has 360 degrees. but we only look at a segment of a circle of 150 out of the total of 360 degrees.

the circumference of a circle is

C = 2×pi×r

the 150 degree part is then

C = 2×pi×r×150/360 = 2×pi×r×15/36 = pi×r×15/18 =

= pi×r×5/6

the radius of the inner circle is 20.

=>

Ci = pi×20×5/6 = pi×50/3

the radius of the outer circle is 20 + 25 = 45

Co = pi×45×5/6 = pi×75/2

so, the total perimeter/ circumference is

C = Ci + Co + 25 + 25 = pi×50/3 + pi×75/2 + 50

= pi×100/6 + pi×225/6 + 50 = pi×325/6 + 50 =

= 220.17 cm

the area of the shaded shape is the area of the large circle segment minus the area of the small circle segment.

the area of a circle is

A = pi×r²

the 150 degree part is then

A = pi×r²×150/360 = pi×r²×5/12

so, for the inner circle that is

Ai = pi×20²×5/12 = pi×400×5/12 = pi×100×5/3 = pi×500/3

for the outer circle that is

Ao = pi×45²×5/12 = pi×2025×5/12 = pi×10125/12 =

= pi×3375/4

so, the total area of the shaded shape is

A = Ao - Ai = pi×3375/4 - pi×500/3 = pi×(10125-2000)/12 =

= pi×8125/12 = 2127.12 cm²

4 0
2 years ago
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