Answer:
11.) y-int:(0,1); x-int:(1,0)
12.) y-int:(0,8); x-int:(4,0)
13.) y-int:(0,-9); x-int:(-3,0)
14.) y-int:(0,-5); x-int:(-2.5,0)
Step-by-step explanation:
For each equation, first you have to graph it. Then to find the y-intercept, you mark and check where your line of your equation intersects the y-axis. To find the x-intercept, you mark and check where the line of your equation intersects the x-axis. The y-intercept always will have the coordinates of x=0 and the x-intercept always will have the coordinates of y=0.
If 80 miles is 50% of his trip, then you know that 80 miles is only HALF of his entire trip. To get the distance Raul traveled in total, simply double the 80 miles. This would be 160 miles.
Raul traveled a total of 160 miles in his trip.
Answer:
6.5 x 10^6 To answer this question, you need to divide the mass of the sun by the mass of mercury. So 2.13525 x 10^30 / 3.285 x 10^23 = ? To do the division, divide the mantissas in the normal fashion 2.13525 / 3.285 = 0.65 And subtract the exponents. 30 - 23 = 7 So you get 0.65 x 10^7 Unless the mantissa is zero, the mantissa must be greater than or equal to 0 and less than 10. So multiply the mantissa by 10 and then subtract 1 from the exponent, giving 6.5 x 10^6 So the sun is 6.5 x 10^6 times as massive as mercury.
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Answer:
The maximum height of the prism is 
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to


so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C

------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
see the attached figure
but remember that
The width of the base must be
meters less than the height of the prism
so
the solution for x is the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism is 
Answer: C.
and 
Step-by-step explanation: if a function f(x) has g(x) as its inverse then it satisfies fog(x)=x and gof(x)=x
C. f(x)=
and g(x)=
fog(x)=f(
)
=
=x
gof(x)=g(
)
=
=x
hence C. is the pair of inverse functions