Answer:
y = x + 7
Step-by-step explanation:
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
Looking at the graph, we can see that the line intersects the y-axis at y = 7. So 7 would be our y-intercept.
To find the slope, we would divide the rise of the line by the run. Or m = rise/run. From looking at the graph, we can see that for every 1 unit the line moves in the x-direction, the line moves in the y-direction by 1 unit. Therefore, the rise would be 1 and the run would be 1. 1/1 = 1 so the slope of the line would be 1.
Plugging in 7 for b and 1 for m into the equation for the slope-intercept form, we get:
y = x + 7
So that would be the equation for the line in slope-intercept form.
I hope you find my answer and explanation to be helpful. Happy studying.
To change a decimal to a fraction you need to first place the decimal over 1. Next, for each number behind the decimal, you will multiply by a multiple of 10. Since there are 2 numbers behind the decimal, it's 100. Therefore,
92.96 x 100 = 9296
1 x 100= 100
Your new fraction is 9296/100. Now we simplify it. I'm going by 2's so it may take a bit.
Simplifying it twice by 2's your answer would be:
2324/25
The height of the water tank is 6.
L x W x H = V (volume)
15 x 10 x 6 = 900 cubic feet
Answer:
b. x + (x + 2) + (x + 4) = 39
Step-by-step explanation:
<u>Definitions</u>
- Integer: a whole number that can be positive, negative or zero.
e.g. ..., -3, -2, -1, 0, 1, 2, 3, ... - Odd number: an integer that when divided by two leaves a remainder (so not a multiple of 2). For example, 1, 3, 5, 7 are all positive odd numbers.
- Consecutive: following one after the other in order.
<u>The sum of three consecutive odd integers</u>
Let x be the first odd integer.
As there is a <u>difference of 2</u> between <u>consecutive odd integers</u>, the next odd integer after x will be (x + 2).
Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive odd integers is thirty-nine" is:
x + (x + 2) + (x + 4) = 39
<u>To solve</u>
⇒ x + (x + 2) + (x + 4) = 39
⇒ x + x + 2 + x + 4 = 39
⇒ 3x + 6 = 39
⇒ 3x = 33
⇒ x = 11
Therefore, the three consecutive odd numbers are 11, 13 and 15.
Answer:
115
Step-by-step explanation:
You divide 230 by 2 cause there are two peoples. I hope that helps :)
