What is the value of x?

Write a function to represent the set of ordered pairs.

77julia77 [94]

Answer:

Option C $f (x) = x^ 2 - 2$

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

$y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9$

Therefore the relationship is not linear.

However, the exchange rate $y_n- y_{n-1}$ increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

$y = x ^ 2$

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is $y = x ^ 2$ then the function that contains the ordered pairs of the B set is:

$y = x ^ 2 -2$

The correct option is option C) $f (x) = x^ 2 - 2$

8 0

3 years ago

(a(1) = 5/3 (a(n) = a(n − 1).(-9) What is the 3rd term in the sequence?

nataly862011 [7]

Answer:-30

Step-by-step explanation:

Third term=a3

an=a(n-1) x (-9)

a3=5/3 x (3-1) x (-9)

a3=5/3 x 2 x -9

a3=(5x2x-9)/3

a3=-90/3

a3=-30

5 0

2 years ago

If AB = 9, RS = 3, and SC = 5, find BC. A) 5 B) 10 C) 13.5 D) 15

Ronch [10]

Answer:

D

Step-by-step explanation:

Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is

$\frac{BC}{SC}$ = $\frac{AB}{RS}$ , substitute values

$\frac{BC}{5}$ = $\frac{9}{3}$ = 3 ( multiply both sides by 5 )

BC = 5 × 3 = 15 → D

8 0

3 years ago

Read 2 more answers

How many zeros does this equation have?

anastassius [24]

I would say the answer is 2

7 0

2 years ago

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The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.

Daniel [21]

Answer:

89

91

Step-by-step explanation:

Supplementary means the pair of angles that have this relationship add up to 180 degrees.

If you assume n is odd, then the very next odd number is n+2.

Example 5 is odd and the next odd number after 5 is 7. This fits the pattern of n and n+2 when n=5.

So we are given the degree measurement of an angle and it's supplement are consecutive odd integers.

So let's pretend the supplement of A is B. This means A+B=180.

We are also given A and B are consecutive odd integers, so this means we are going to let A=n and B=n+2.

Let's put this into our equation for A+B=180:

(n)+(n+2)=180

n + n+2 =180

2n +2 =180

Subtract 2 on both sides:

2n =178

Divide both sides by 2:

n =178/2

Simplify right hand side:

n =89

If n=89, then n+2=89+2=91.

Does 89+91=180? Yep.

Are 89 and 91 consecutive odd numbers? Yep.

Here are some consecutive numbers including those: 89,90,91

Yes 91 is the next odd number after 89.

3 0

2 years ago

Read 2 more answers