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3 years ago

Which relation is a function?

1 answer:

5 0

The second relation is a function.

For a relation to be a function, each x-value can only have a singular corresponding y-value. Since all other relations feature x-values with multiple y-values, the second relation is a function.

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15PTS QUICK

lana66690 [7]

Answer:

Option B

40x + 50y = 130

5x - 4y = 16

Option C

20x + 25y = 65

-20x + 16y = 64

Step-by-step explanation:

we have

$4x+5y=13$ ----> equation a

$10x-8y=-32$ ----> equation b

we know that

If two system of equations are equivalent, then their solution is the same

Part 1)

step 1

Multiply by 10 equation a both sides

$10(4x+5y)=10(13)$

$40x+50y=130$ ----> equation a'

step 2

Divide by 2 equation b both sides

$(1/2)(10x-8y)=(1/2)(-32)$

$5x-4y=-16$ ----> equation b'

The system of equations a and b and the system of equations a' and b' are equivalent

therefore

The system of equations a' and b' have the same solution as the given system

Part 2)

step 1

Multiply by 5 equation a both sides

$5(4x+5y)=5(13)$

$20x+25y=65$ ----> equation a'

step 2

Multiply by -2 equation b both sides

$-2(10x-8y)=-2(-32)$

$-20x+16y=64$ ----> equation b'

The system of equations a and b and the system of equations a' and b' are equivalent

therefore

The system of equations a' and b' have the same solution as the given system

6 0

3 years ago

19. If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?

Stells [14]

Answer:

16, 1/16

Step-by-step explanation:

$(4)^2 =16$

$(4)^{-2} =\frac{1}{16}$

Hope it helps you in your learning process.

6 0

2 years ago

Read 2 more answers

Point H is the incenter of triangle ABC. Find angle HAC.

Rashid [163]

Let angle HAC = A, then
cos A = 24/25 = 0.96
A = cos^-1(0.96) = 16.26

4 0

4 years ago

Read 2 more answers

(a) (8%) Compute the probability of an even integer among the 100 integers 1!, 2!, 3!, .., until 100! (here n! is n factorial or

horrorfan [7]

Answer:

(a) 99%

(b) 50%

Step-by-step explanation:

(a) All factorials after 1! have 2 as a factor, so are even. Thus 99 of the 100 factorials are even, for a probability of 99%.

(b) The first two sums are odd; the next two sums are even. The pattern repeats every four sums. There are 25 repeats of that pattern in 100 sums, so 2/4 = 50% of sums are even.

6 0

3 years ago

I need help with this

andrey2020 [161]

18a:16 18b:32 % means out of 100

3 0

3 years ago