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NISA [10]
3 years ago
7

I need help With what the answer is

Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

OPTION C: y = 2x² + 1

Step-by-step explanation:

To identify the function substitute the values of 'x' and 'y' and compare LHS and RHS.

OPTION A: y = -(5x + 1)

When x = -2, y = 9

Therefore, LHS = 9

RHS = -(5(-2) + 1) = -(-10 + 1) = 9

So, LHS = RHS.

Now, we check for the second pair. i.e., (x, y) = (-1, 3)

LHS = 3

RHS = -(-5 + 1) = -(-4) = 4

LHS $ \ne $ RHS

So, this option is eliminated.

OPTION B: y = - 4x + 1

Like OPTION A, substitute x = -2 and y = 9.

LHS = 9

RHS = - 4(-2) + 1 = 9

LHS = RHS

Now for the second pair: (-1, 3)

LHS = 3

RHS = -4(-1) + 1 = 4 + 1 = 5

We see LHS $ \ne $ RHS.

So, this option is eliminated as well.

OPTION C: y = 2x² + 1

Substituting the first pair: (-2, 9)

LHS = 9

RHS = 2(4) + 1 = 9

So, LHS = RHS

Now For the second pair: (-1, 3)

We have LHS = 3

RHS = 2(1) + 1 = 3

LHS = RHS.

The third pair: (0, 1)

LHS = 1

RHS = 2(0) + 1 = 1

For the pair: (1, 3)

LHS = 3

RHS = 2(1) + 1 = 3

Again, LHS = RHS

For the pair: (2, 9)

LHS = 9

RHS = 2(4) + 1 = 9

Since, for all the pairs we have LHS and RHS equal, we con conclude that this is the correct representation of our function.

Similarly, substitute OPTION D. The option can be eliminated in the second pair itself.

So, the answer is OPTION C.

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Answer: - 7.2 , 2.6 , 12.4 and 22.2

Step-by-step explanation:

Let the arithmetic means be p , q , r ,s , therefore , the sequence becomes:

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The first term (a ) = -17

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common difference (d) = ?

number of terms (n ) = 6

We will use the formula for calculating the last term to find the common difference. That  is

L = a + (n - 1 ) d

Substituting the values , we have

32 = -17 + (6-1) d

32 = -17 + 5d

32 + 17 = 5d

49 = 5d

Therefore: d = 9.8

We can therefore find the values of p , q , r , and s

p is the second term , that is

p = a + d

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p = -7.2

q = a + 2d

q = - 17 + 19.6

q = 2.6

r = a + 3d

r = - 17 + 29.4

r = 12.4

s = a + 4d

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Therefore : the arithmetic means are : - 7.2 , 2.6 , 12.4 and 22.2

8 0
3 years ago
Randy walks 1/2 mile in each 1/5 hour. How far did randy walk in 1 hour in decimal
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pentagon [3]
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victus00 [196]
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Read 2 more answers
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