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rodikova [14]
4 years ago
9

If g(x) = x4

atex-formula"> − x3 + x2 − x, find g(−16).

Mathematics
1 answer:
ELEN [110]4 years ago
4 0
Answer: 69,904

Explanation:
g(-16)= (-16)^4-(-16)^3+(-16)^2-(-16)
g(-16)= (65,536)-(-4,096)+(256)-(-16)
g(-16)= 65,536+4,096+256+16
g(-16)=69,904

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Point V is located at -16. Points W and X are each 7 units away from Point V. Where are W and X located?
nasty-shy [4]

Answer:

Location of W is - 23, location of X is - 9.

Step-by-step explanation:

location of V = - 16

Points W and X are each 7 units away from Point V.

Let the W is at left of V and X is right of V.

location of W = -16 - 7 = - 23

location of X = - 16 + 7 = - 9

5 0
3 years ago
How far is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s
Tomtit [17]
825 meters away
i think bit too sure
7 0
3 years ago
Please help me I really need this
pshichka [43]

Answer:

Step-by-step explanation:

Draw a horizontal line at the end of the 8 meter horizontal line.

Find the area of the horizontal rectangle

L = 8 + 3

W = 2

Area = L*w

Area = 11*2

area = 22 m^2

Now do the vertical rectangle

L = 8

w = 3

Area = L*w

Area = 8 * 3

Area = 24 m^2

Total Area = 24 + 22 = 46 m^2

7 0
2 years ago
How many subsets of {1, 2, 3, 4, 6, 8, 10, 15} are there for which the sum of the elements is 15?
stepladder [879]

Answer:

512

Step-by-step explanation:

Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7

.

For instance, if I divide the set into parts {1,2,4}

and {3,5}, the first part adds up to 7, and its complement adds up to 8

.

Once one makes that observation, the rest of the proof is straightforward. There are 25=32

different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.

8 0
4 years ago
A class has 6 boys and 15 girls what is the ratio of boys to girls
inessss [21]

Hey there!

Ratio = division

now, division of boys over girls

= 6 / 15

= 2 / 5

Ratio = 2 : 5

Hope helps!

6 0
3 years ago
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