Answer:
0.75, 1.25
Step-by-step explanation:
first we bring the line equation into the same format as the parabola equation (y = ...)
3x - y = 1
=>
y = 3x - 1
now we can say for the intersection points both equations must have the same result.
4x² - 1 = 3x - 1
4x² - 3x = 0
x(4x - 3) = 0
there are only 2 possible cases to make this true :
x = 0
and 4x - 3 = 0
4x = 3
x = 3/4 = 0.75
for the y value let's use the easier equation (line) :
y = 3×3/4 - 1 = 9/4 - 4/4 = 5/4 = 1.25
Answer:
C < $75.
Step-by-step explanation:
Let C be the charge of a window cleaning service, that cleans all the windows of the house.
Since it charges less than $75. this means
C < $75.
So, this is the required inequality equation.
Answer:
Graphs C and D show an arithmetic sequence.
Step-by-step explanation:
Arithmetic sequences have a common difference, meaning that the gap between each term in the sequence is always the same.
In Graphs A and B, the gap between terms seems to be changing. That tells us that they aren't arithmetic. Instead, those are geometric sequences.
Meanwhile, Graphs C and D appear to be straight, meaning that the gap between the terms is constant.
Answer:
1) sarah has $100 in her bank account after 5 weeks ans Emily has $95, so Sarah has more.
2)After 6 weeks they will both have $110
Step-by-step explanation:
First, you need to get the denominators (the bottom number) the same. The smallest number to get them to is 15.
So, what you need to do is take 2/5 and multiply the bottom by 3 to get 15, and since you did it to the bottom, you need to do it to the top too. So you would get, 6/15.
Then, for 1/3, take the bottom number and multiply it by 5. Then, since you did it to the bottom, do it to the top as well. You would get 5/15.
Then, you need to put them side by side. You don't add the bottom, so your denominator would remain 15, but your numerator (top) would get added.
<u> 6</u> + <u>5</u> = <u>11</u>
15 15 15
