The range of a function is the output values ( Y values)
These would be the numbers the arrows are pointing at.
-8, -3 , 5 and 7
The answer is C.
Step-by-step explanation:
#1 equals 1 1/4
The common denominator for 1/6, 2/3, and 5/12 would be 12. So I made the denominators 12 which means 1/6 would turn into 2/12, 2/3 turns into 8/12, and 5/12 stays the same. When I add them all up I get 15/12. I can turn that into a mixed number which would be 1 3/12. I can simplify that down to <em><u>1 1/4.</u></em>
#2 equals 3/4
The first thing you have to do is turn 2 2/3 and 1 3/4 into improper fractions. Which would turn 2 2/3 into 24/3 and 1 3/4 into 21/12. The next thing is you have to find a common denominator which would be 12. Next you have to turn the denominators into a 12 and change the numerator. Which makes the fractions: 24/12, 6/12, and 21/12. When you add 24/12 and 6/12 together you get 30/12 minus 21/12 you get 9/12. You can then simplify that to <em><u>3/4. </u></em>
#3 equals -1 17/36
The first thing you do is turn 3 5/18 into an improper fraction which would be 59/18. then you find a common denominator which would be 36 and make the denominators of those numbers into 36 which would be 11/36, 54/36, and 118/36. When you add up 11/36 and 54/36 you get 65. but when you - 65 by 118 you get -53 / 36. you can lend turn that into <u>-</u><em><u>1 17/36. </u></em>
I'm not sure about number 4 and I don't want to give you the wrong answer. Hopefully what I did show you helped!
It cost 2 dollars for 1 pound of oranges
Answer:
(x+4)^2=-8(y+3)
Step-by-step explanation:
Given:
focus of parabola=(-4,-5)
directrix= -1
Standard form of parabola :
(x - h)^2 = 4p (y - k),
where focus is:
(h, k + p)
directrix is :
y = k - p
Now equating the values we get
(-4,-5) = (h,k+p)
h=-4
k+p=-5
k=-5-p
Also
y=-1 and y=k-p
i.e. k-p=-1
Substituting k=-5-p in above we get:
-5-p-p=-1
-2p=-1+5
p=4/-2
p=-2
Putting p=-2 in k-p=-1 we get:
k=-1-2
k=-3
Putting all the values in standard formula for parabola we get:
(x - (-4))^2 = 4(-2) (y -(-3))
(x+4)^2=-8(y+3)!
Answer:
$50,281.04
Step-by-step explanation:
5 years is equivalent to (5 × 12) = 60 months
Now, the first payment $670 is compounded for 60 months at the rate of 
% monthly interest.
So, it will become 
.
Similarly the second payment of $670 will become 
Therefore, in this way after 60 months i.e. 5 years the total sum will be
= 
= ![670[1 + (1.0067) + (1.0067)^{2} + (1.0067)^{3} + ....... + (1.0067)^{59} + (1.0067)^{60} ]](https://tex.z-dn.net/?f=670%5B1%20%2B%20%281.0067%29%20%2B%20%281.0067%29%5E%7B2%7D%20%2B%20%281.0067%29%5E%7B3%7D%20%2B%20.......%20%2B%20%281.0067%29%5E%7B59%7D%20%2B%20%281.0067%29%5E%7B60%7D%20%5D)
= ![670[1 \times \frac{(1.0067)^{61} - 1 }{1.0067 - 1} ]](https://tex.z-dn.net/?f=670%5B1%20%5Ctimes%20%5Cfrac%7B%281.0067%29%5E%7B61%7D%20-%201%20%7D%7B1.0067%20-%201%7D%20%5D)
= $50,281.04 (Answer)
{Since, the sum of the G.P. series 
}
