Answer:
the desired equation is y = -2x + 1
Step-by-step explanation:
As we go from (-2, 5) to (0, 1), x increases by 2 and y decreases by 4. Thus, the slope of this line is m = rise / run = -4 / 2, or m = -2.
Starting with y = mx + b, insert the knowns:
1 = -2(0) + b. Then b = 1, and the desired equation is y = -2x + 1.
Answer:
7
Step-by-step explanation:
625 - 576 = 49
square root of 49 = 7
Answer:
-26
Step-by-step explanation:
By subtracting the water poured into the first two beakers from the available water we conclude that the water left for the third beaker is 0.9 liters.
<h3>How to find the water left for the third beaker</h3>
In this question we know that Karen has 3 liters of water and poured 0.7 liters into the <em>first</em> beaker, 1.4 liters into the <em>second</em> beaker and we can determine the water left for the <em>third</em> beaker by subtracted the water poured into the <em>first two</em> beakers from the available water. The available volume is:
V = 3 L - 0.7 L - 1.4 L
V = 0.9 L
By subtracting the water poured into the first two beakers from the available water we conclude that the water left for the third beaker is 0.9 liters.
To learn more on subtractions: brainly.com/question/4319655
#SPJ1
Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27
