Answer:
<u>Jonathan has to pay Faye back US$ 240 </u>
<u>Jonathan has 4 people on his bill and Faye has 6.</u>
Step-by-step explanation:
1. Let's find out the amount of the phone bills, this way:
Total of the two bills = US$ 600
Faye's bill = US$ 120 more than Jonathan's
Jonathan's bill = x
Solving for x, we can use this equation:
x + x + 120 = 600
2x + 120 = 600
2x = 600 - 120
2x = 480
x = 480/2 = 240
<u>Jonathan has to pay Faye back US$ 240 </u>
2. Let's find out the number of people on each bill, this way:
Faye has two people more on her bill than Jonathan
Number of people on Jonathan's bill = x
Number of people on Faye's bill = x + 2
We will use the following equation:
240 * (x + 2) = 360x
240x + 480 = 360x
240x - 360x = -480
-120x = - 480
x = -480/-120
x = 4 ⇒ x + 2 = 6
<u>Jonathan has 4 people on his bill and Faye has 6.</u>
Answer:
B. (x-9)^2 + (y + 7)^2 = 4
Step-by-step explanation:
The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2. Hopefully you can memorize that, because it's very helpful in these problems!
(h,k) is our center, and r is our radius, so plug those values into the standard form:
(x - 9)^2 + (y + 7)2 = 2^2
2^2 = 4, so
<u>B. (x - 9)^2 + (y + 7)2 = 4 is our answer!</u>
Answer:
i think if its on a graph
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
3 odd numbers x 2 4-sided shapes = 6
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is 
= 
= - 2.5
