MATHEMATICS HIGH SCHOOL

Point I is on line segment H
J
‾
HJ
. Given
I
J
=
3
x
+
3
,
IJ=3x+3,
H
I
=
3
x
−
1
,
HI=3x−1, and
H
J
=
3
x
+
8
,
HJ=3x+8, determine the numerical length of
H
J
‾
.
HJ
.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

the answer is 14

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#2 What is the equation of the horizontal asymptote for the following exponential graph?

Answers

Answer:

y = -1

Step-by-step explanation:

We are looking for the horizontal line which the function approaches but never meets;

This is y = -1

Make w the subject of the formula!!!!! HELP!!!!

y=3w-a

Answers

y = 3w - a
We need to isolate w here
so, we do these steps:
1 - add a
y = 3w - a
+a      + a
y + a = 3w

Divide by 3 to isolate w
(y+a)/(3) = (3w)/(3)
3 and 3 cancels out

Final answer:
(y+a)/(3) = w

Two arcades have different pricing structures. Arcade A costs $5 to enter and $0.60 per game. Arcade B costs $7 to enter and $0.40 per game. How many games do you have to play in order for the two arcades to be the same price?

Answers

Answer:

you would have to play 10 games

Answer:

10 games

Step-by-step explanation:

Let C be cost and x be number of games

Arcade A: C = 5 + 0.6x

Arcade B: C = 7 + 0.4x

for both arcades to be the same price, Both C's must be equal, hence we equate the right side of both equations:

5 + 0.6x = 7 + 0.4x   (subtract 5 fromboth sides)

0.6x = 7 + 0.4x - 5

0.6x = 2 + 0.4x  (subtract 0.4x from both sides)

0.6x - 0.4x = 2

0.2x = 2 (divide both sides by 0.2)

x = 2 / (0.2)

x = 10

70. Suppose that you currently have one credit card with a balance of $10,000 at an annual rate of 24.00% interest. You have stopped adding any additional charges to this card and are determined to pay off the balance. You have worked out the formula bbn = b0r n − R(1 + r+r2 +....+ r n−1), where b0 is the initial balance, bn is the balance after you have maden payments, r= 1 + i, wherei is the monthly interest rate, and R is the amount you are planning to pay each month.b. Explain why we can rewrite the given formula as bn= b0rn − R(1-rn/1-r).????????

Answers

Answer:

1+r+r^(2)+r^(3)+.....+r^(n-1) = (1-r^(n))/(1-r)

Step-by-step explanation:

Taking the succession:

1+r+r^(2)+r^(3)+.....+r^(n-1)

You can multiply and divide by 1-r without chaging the result:

(1-r)/(1-r) (1+r+r^(2)+r^(3)+.....+r^(n-1))

Distributing the upper part of the fraction you have:

(1)/(1-r) (1-r+r-r^(2)+r^(2)-r^(3)+r^(3)-r^(4)+.....+r^(n-1)-r^(n))

As can be seen all the intermediate members will be canceled by a same member with opposite sign, only (1-r^(n)) will be left so:

1+r+r^(2)+r^(3)+.....+r^(n-1) = (1-r^(n))/(1-r)

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Answers

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Answers

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