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3 years ago

Graphs of the functions f and g are shown in the xy-plane. For which of the following values of x does f(x) + g(x) = 0?

Mathematics

1 answer:

pav-90 [236]3 years ago

6 0

Answer:

-2

Step-by-step explanation:

The functions of f(x) and g(x) are given

For f(x)+g(x)=0 , functions f and g should be in opposite sign

We can observe that at x=−2 , f(x)=2 and g(x)=−2

Therefore f(−2)+g(−2)=0

So the correct option is D (-2)

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Draw all the rectangles with an area of 12 square feet

Len [333]

The possible rectangles that you could draw to have an area of 12 would be:

12x1
6x2
4x3
3x4
2x6
1x12

8 0

3 years ago

Read 2 more answers

The unicorns: stardust, umo, windthorn and highflyer are enjoying themselves playing in the forest. they notice 8 spiders in the

Harrizon [31]

Answer:

Total 164 legs.

Step-by-step explanation:

The unicorns : stardust, umo, windthorn and highflyer are enjoying themselves playing in the forest.

They notice 8 spiders, one spider has 8 legs = 8 × 8 = 64 legs

there are 5 cockroaches, one cockroach has 6 legs = 5 × 6 = 30 legs

7 bees, one bee has 6 legs = 7 × 6 = 42 legs

3 deer, one deer has 4 legs = 3 × 4 = 12 legs

4 cows, one cow has 4 legs = 4 × 4 = 16 legs

Total legs of all the numbered creatures all together =

64 + 30 + 42 + 12 + 16 = 164 legs

Therefore, total legs are 164.

8 0

3 years ago

Read 2 more answers

A test to measure psychotic tendencies was given to a group of 1,000 air force cadets who wished to work in nuclear silos. Any c

Anastaziya [24]

Answer:

Option d) 840

Step-by-step explanation:

Given that a test to measure psychotic tendencies was given to a group of 1,000 air force cadets who wished to work in nuclear silos.

If Score ≥64 would be eliminated.

X is N(52, 12)

Probability for any random person to get eliminated

= $P(X\geq 64)\\= 1-R(64)\\=1-0.8413\\= 0.1587$

Now coming to sample size of 1000 people, we find each person is independent of the other and there are two outcomes either >64 or < 64

So Y no of persons who get more than 64 is binomial with n =1000 and p = 0.1587

Mean of Y = E(Y)

= no of people who were not accepted $=1000(0.1587) = 158.7$

No of people accepted $= 1000-158.7 = 841.3\\=841$

Approximately we get 840 so option d

6 0

4 years ago

Use the distance formula to slove how far the points are on the a coordinate plane. Points are (7,5)(3,2)

maksim [4K]

Answer:

distance is 5 units

Step-by-step explanation:

plug in values

4 0

3 years ago

14. Pizza palace offers five sizes personal: (8 inches) small:(10 inches) medium:(12 inches) large:(14 inches) and extra large:(

VladimirAG [237]

<span>To calculate the average; add up all the numbers, then divide by how many numbers there are. In this case, there are 5 numbers; personal, small, medium, large, and extra large.
</span>8 + 10 + 12 + 14 + 16 / 5 --> 60/5 = 12

3 0

4 years ago