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Nadusha1986 [10]
3 years ago
11

HURRY PLS The length of time in hours of two airplane flights are represented by the following functions, where x is the number

of miles for the flight:
Flight A: f(x) = 0.003x – 1.2

Flight B: g(x) = 0.0015x + 0.8

Which function represents the total of the flight times, h(x) = f(x) + g(x)?

h(x) = 0.0015x – 2
h(x) = 0.045x – 0.4
h(x) = 0.0045x – 0.4
h(x) = 0.0045x – 2
Mathematics
2 answers:
mamaluj [8]3 years ago
4 0

Answer:

h(x) = 0.0045x – 0.4

Step-by-step explanation:

The length of time in hours of two airplane flights are represented by the following functions, where x is the number of miles for the flight.

Flight A: f(x) = 0.003x - 1.2

Flight B: g(x) = 0.0015x + 0.8

Then the function  

h(x) = f(x) + g(x) = (0.003 + 0.0015)x + (-1.2 + 0.8) = 0.0045x - 0.4.

Therefore, the third option is the right option. (Answer)

MakcuM [25]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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Trava [24]

Answer:

do u need to solve for x or for y ?

Step-by-step explanation:

4 0
2 years ago
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Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)
Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then  y = 0

From this we can get 2 points on the curve, namely,  (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes:    y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B   (divide both sides by 4)

0 = 4A + B

B = -4A    ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B   (divide both sides by 2)

-1 = 2A + B   (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

7 0
3 years ago
Find the area of the figure. round your answer to the nearest hundredth
liraira [26]

Answer: 84.14

Step-by-step explanation:

Area of the rectangle is L*W=B*H

14*5=70

To find the area of the half circle we must use the formula pi r^2/2

r=radius

and the radius is 6 because we add 4 and 4 and need to get to 14

because the line below it is 14 and it is a rectangle so the lengths are the same.

Diameter=6

So radius =3

pi (3)^2/2=

9/2 pi + 70=

84.14

6 0
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Zoey solved the calculation 5 + 3.89 using a decimal number line. The decimal number line shows how Zoey calculated the answer.
IceJOKER [234]
Start at the point 0
Then move 5 points right because 5 is positive
The another 3.89 points right because your adding a positive number
Sooo 5 + 3.89 = 8.89

Hope this helps :D
4 0
3 years ago
In a restaurant, the proportion of people who order coffee with their dinner is p. A simple random sample of 144 patrons of the
mote1985 [20]
<h2>Answer with explanation:</h2>

Given : In a restaurant, the proportion of people who order coffee with their dinner is p.

Sample size : n= 144

x= 120

\hat{p}=\dfrac{x}{n}=\dfrac{120}{144}=0.83333333\approx0.8333

The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-

Null hypothesis : H_0: p\geq0.85   [ it takes equality (=, ≤, ≥) ]

Alternative hypothesis : H_1: p  [its exactly opposite of null hypothesis]

∵Alternative hypothesis is left tailed, so the test is a left tailed test.

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.83-0.85}{\sqrt{\dfrac{0.85(1-0.85)}{144}}}\\\\=-0.561232257678\approx-0.56

Using z-vale table ,

Critical value for 0.05 significance ( left-tailed test)=-1.645

Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.

Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.

8 0
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