Martin has a gift card to a coffee shop. Each day he buys the same coffee. The table shows the amount remaining on the gift card on different days.Which equation represents the situation?
Martin’s Gift Card
Days
2 4 5 7
Amount remaining 24.10 18.20 15.25 9.35
A.
y – 9.35 = −2.95(x – 7)
B.
y – 18.20 = 2.95(x + 4)
C.
y + 15.25 = −2.95(x + 5)
D.
y + 24.10 = 2.95(x – 2)
Answers
We want to see which linear equation represents the amount remaining on the gift card. We will see that the correct option is A:
y – 9.35 = −2.95(x – 7)
A linear equation in the point-slope form is written as:
y - y₁ = a*(x - x₁)
Where a is the slope of the line and (x₁, y₁) is a point on the line.
If we know two points on the line, (x₁, y₁) and (x₂, y₂) then we can write the slope as:
Here we can use the two first points:
(2, 24.10)
(4, 18.20)
Then the slope is:
Then the equation is something like:
y - y₁ = -2.95*(x - x₁)
Now, from the given options the only one where (x₁, y₁) is a point on the line is the first option, where:
x₁ = 7
y₁ = 9.35
So the correct option is A:
y – 9.35 = −2.95*(x – 7)
If you want to learn more, you can read:
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Graph f(x) = (1/3)^x+1
Grade vs. Uses the Watches Plays Video
Total
Screen Time Internet TV Games
7th Grader 6
3
6
15
8th Grader 8
3
2 13
Total 14
6
8
28
What is the probability that a student uses the Internet, given that he or she is in eighth
grade?
Enter your answer rounded to two decimal places, like this: 0.42
Answers
Answer:
0.62
Step-by-step explanation:
In the picture attached, the table is shown.
We want to find the probability that a student uses the Internet, given that he or she is in eighth grade. Mathematically:
P(Internet | eighth grade) = P(Internet ∩ eighth grade)/P(eighth grade)
P(Internet | eighth grade) = (8/28)/(13/28) = 8/13 = 0.62
Answers
Answer:
C. x=1 or x=-5
Step-by-step explanation:
1. First, we have to get the absolute value alone.
2|x+2|-1=5
2. Add 1 to both sides.
2|x+2|-1 +1 = 5 +1. The -1 and +1 will cancel each other out.
You will get 2|x+2|=6.
3. Divide 2 by both sides.
=
The division of 2 and the multiplication of 2 on the side of the absolute value will also cancel each other out.
You will get |x+2|=3.
4. Next, we will split this absolute value equation into two equations because we don't know if the variable of x that's inside of the absolute value is negative or not.
x+2=3 or x+2=-3.
5. Subtract 2 from all sides.
x+2 -2 =3 or x+2 -2 =-3
You will get x=1 or x=-5.
x=1 or x=-5 is your final answer.
Answer: C, x = 1 or x = -5
Step-by-step explanation:
Answers
50 states
so...
35/50
find a common denominator
i will use 100
35/50 = 70/100
3/4 = 75/100
35/50 is less than 3/4
so no it will not
Answers
A.
2
B.
–2
C.
–6
D.
6
Answers
To find the mean of a number, you need to add up all the numbers listed (so, 5, -11, 7, 12, -1 and 0) and then divide it by the amount of numbers there are listed. 5 + -11 + 7 + 12 + -1 + 0 equals 12, and since there are 6 numbers you then divide 12 by 6. 12 divided 6 is 2.
So the answer is A. I hope this helped you!
sorry if i am wrong
Answers
-17> -17
x>19