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vlabodo [156]
3 years ago
5

Determine which relation is a function. A. Number graph ranging from negative four to four on the x and y axes. Points are drawn

on the graph at (negative four, three), (negative two, one), (negative one, three), (negative one, negative one), (one, one) and (two, negative one). B. Number graph ranging from negative four to four on the x and y axes. Points are drawn on the graph at (negative two, one), (negative two, negative two), (negative one, three), (zero, one), (two, zero) and (two, negative two). C. Number graph ranging from negative four to four on the x and y axes. Points are drawn on the graph at (negative two, one), (negative one, three), (zero, two), (zero, negative one), (one, three) and (two, one). D. Number graph ranging from negative four to four on the x and y axes. Points are drawn on the graph at (negative four, three), (negative three, negative one), (negative two, negative two), (negative one, zero), (two, zero) and (three, two).
Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0
A) is not a function because you have two X values of -1

B) is not a function because you have two X values of -2

C) is not a function because you have two X values of 0

D) This is a function because all X values are different.
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Please help!
MrRissso [65]

Answer:

<h2 />

Step-by-step 16

16 x 81

4 0
3 years ago
Kathryn deposits 100 into an account at the beggining of each 4 year period for 40 years. The account credits interest at an eff
OleMash [197]

Answer:

6194.84

Step-by-step explanation:

Using the formula for calculating accumulated annuity amount

F = P × ([1 + I]^N - 1 )/I

Where P is the payment amount. I is equal to the interest (discount) rate and N number of duration

For 40 years,

X = 100[(1 + i)^40 + (1 + i)^36 + · · ·+ (1 + i)^4]

=[100 × (1+i)^4 × (1 - (1 + i)^40]/1 − (1 + i)^4

For 20 years,

Y = A(20) = 100[(1+i)^20+(1+i)^16+· · ·+(1+i)^4]

Using X = 5Y (5 times the accumulated amount in the account at the ned of 20 years) and using a difference of squares on the left side gives

1 + (1 + i)^20 = 5

so (1 + i)^20 = 4

so (1 + i)^4 = 4^0.2 = 1.319508

Hence X = [100 × (1 + i)^4 × (1 − (1 + i)^40)] / 1 − (1 + i)^4

= [100×1.3195×(1−4^2)] / 1−1.3195

X = 6194.84

4 0
4 years ago
Read 2 more answers
What are the possible values of x in 8x2 + 4x = -1?
Westkost [7]

Answer:

The possible values of x are:

x= \frac{-1+\sqrt{3}}{4} \,\,or\,\, x= 0.18

and

x= \frac{-1-\sqrt{3}}{4} \,\, or \,\, x= -0.68

Step-by-step explanation:

8x^2+4x+1=0

Using Quadratic formula to solve this equation:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\a = 8 \,\, b = 4\,\, c = -1\\Putting \,\, values \,\, in \,\, the\,\, equation\\x= \frac{-4\pm\sqrt{(4)^2-4(8)(-1)}}{2(8)}\\x= \frac{-4\pm\sqrt{16+32}}{16}\\x= \frac{-4\pm\sqrt{48}}{16}\\x= \frac{-4+ \sqrt{48}}{16} \,\, and \,\, x= \frac{-4- \sqrt{48}}{16}\\x= \frac{-1+ \sqrt{3}}{4} \,\, and \,\, x= \frac{-1- \sqrt{3}}{4}

The possible values of x are:

x= \frac{-1+\sqrt{3}}{4} \,\,or\,\, x= 0.18

and

x= \frac{-1-\sqrt{3}}{4} \,\, or \,\, x= -0.68

4 0
3 years ago
The function h=−16t2+26t models the height h (in feet) of the dolphin after t seconds. after how many seconds is the dolphin at
valentina_108 [34]
Given the movement of Dolphin has been modeled by the function:
h(t)=-16t^2+26t
the time taken for Dolphin to reach 5 feet will be:
5=-16t^2+26t
writing the above in quadratic form ax^2+bx+c=0 we get:
16t^2-26t+5=0
solving the quadratic equation using quadratic formula we obtain:
t=13/16+/-√89/16
t=0.22 sec or 1.40 sec
4 0
3 years ago
Read 2 more answers
Use a recursive function for the geometric sequence 2, -6, 18, -54,... to represent the 9th term.
Jlenok [28]

Answer:

f(9) = f(8)·(-3)

Step-by-step explanation:

A recursive function is one where each successive term is calculated using the previous term;

The clear pattern demonstrated in the sequence of terms shown is that each term is multiplied by -3 to give the next one;

Hence, the correct option is the first.

4 0
3 years ago
Read 2 more answers
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