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WINSTONCH [101]
3 years ago
8

The range of the function f(k) = k^2 + 2k + 1 is {25, 64}. What is the function’s domain?

Mathematics
1 answer:
Effectus [21]3 years ago
7 0
<span>k^2 + 2k + 1 = 25
</span><span>k^2 + 2k + 1 - 25 = 0
</span><span>k^2 + 2k  - 24 = 0
(k - 4)(k + 6) = 0
k - 4 = 0; k = 4
k + 6 = 0; k = -6

</span>k^2 + 2k + 1 = 64
k^2 + 2k + 1 - 64 = 0
k^2 + 2k  - 63 = 0
(k - 7)(k + 9) = 0
k - 7 = 0; k = 7
k + 9 = 0; k = -9

x = -9, -6, 4, 7

answer
<span>D. {4, 7}</span>

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What is the quantity 0.0075 meters expressed in centimeters? 0.075 cm 0.75 cm 7.5 cm 70.5 cm?
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5 0
3 years ago
Find the point(s) of intersection (if any) of the plane and the line. Also, determine whether the line lies in the plane. 2x - 2
s2008m [1.1K]

Answer:

the intersection is the point P=(x,y,z)=(8,9,14) and the line does not lie in the plane

Step-by-step explanation:

from the equation of the line

x - 1/2 = y + (3/2)/-1 = (z + 1) / 2  = t (parameter)

then the parametric equation of the line is

x= 1/2 +t

y =  (3/2) + t

z = (-1) + 2*t

therefore from the equation of the plane

2x - 2y + z = 12

2*(1/2 +t) - 2[(3/2) + t]  + [(-1) + 2*t]  = 12

1+2*t - 3 -2*t -1 + 2*t = 12

-3 + 2*t = 12

t= 15/2

therefore there is only one intersection of the line with the plane ( then the line does not lie in the plane , since there would be infinite intersection points). The intersection is

x= 1/2 +t = 1/2 +15/2 = 8

y =  (3/2) + t = (3/2) + 15/2 = 9

z = (-1) + 2*t =  (-1) + 2*15/2  = 14

thus the intersection point P=(x,y,z)=(8,9,14)

7 0
3 years ago
Please help me with this one I beg you!! And don’t send those file links I know that their scams. Please help I will mark brainl
borishaifa [10]

Step-by-step explanation:

2;6 -> 6; -2

4;4 -> 4 ; -4

6;8 -> 8; -6

sorry English isn't my first language so I can't explain it :((

3 0
2 years ago
Define a function print_total_inches, with parameters num_feet and num_inches, that prints the total number of inches. note: the
Leona [35]

Answer:

2

I am taking my first programming course, so my apologies if this is a dumb question/possibly classified by the wrong category on this site. One of the exercise problems I am working on is the following:

Define a function print_total_inches, with parameters num_feet and num_inches, that prints the total number of inches. Note: There are 12 inches in a foot. Ex:

print_total_inches(5, 8) prints:

Total inches: 68

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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