<h3><u>
Answer:</u></h3>
- Our equation is y = 2x/3 - 1.
<h3><u>
Step-by-step explanation:</u></h3>
<u>We know the equation.</u>
<u>We also know the y-intercept is -1.</u>
<u>All we need to do now is to find the slope. We know the slope formula.</u>
- => Rise/Run = Slope
- => 4/6 = Slope
- => 2/3 = Slope
<h3><u>Conclusion:</u></h3>
Therefore, our equation is y = 2x/3 - 1
Hoped this helped.
Answer:
1. x = 15
2. x = - 9/7
3. x = 11/3
Step-by-step explanation:
<u>Part</u><u> </u><u>one</u><u>,</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>3</u><u>+</u><u>1</u><u>/</u><u>5</u><u>x</u>
to find x-intercept/zero, substitute y= 0
0 = 3 + 1/5
multiple both sides of the equation by five.
0 = 15 + x
move the variable to the left.
-x=15
change the signs on both of the equations.
x = -15
your solution is x = -15.
<u>Part</u><u> </u><u>two</u><u>,</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>-7x</u><u> </u><u>-9</u>
Move variable to the left hand side and change its sign.
7x = -9
Divide both sides of the equation by 7.
x=-9/7
Solution is x = - 9/7
<u>Part</u><u> </u><u>three</u><u>,</u><u> </u><u>y</u><u>=</u><u> </u><u>1</u><u>1</u><u> </u><u>-3x</u>
to find x intercept y and substitute for zero.
0= 11 - 3x
move variable to the left hand side and change its sign.
3x= 11
divide both sides by 3.
x= 11/3
Solution is x = 11/3
Use the table to draw the graph of height(y-axis) against week(x-axis).
The graph is a straight line.
Find the gradient of the graph as the first step.
Gradient = (y2-y1)/(x2-x1)
= (17-12)/(4-2)
= 5/2
Use this gradient to find the equation of the line. Use one of the point from the table (e.g. (8,27)) and another general point (x,y).
∴5/2=(y-27)/(8-x)
5/2 (x-8) = y-27
(5/2)x - 20 = y-27
y=(5/2)x - 20 + 27
y = (5/2)x + 7
The answer is A
The amount of quarts of water to fill the jar is 10.6875 quarts
To solve this problem effectively, we need to understand the concept of word problems.
<h3>What are word problems in mathematics?</h3>
Word problems in mathematics are questions that require a crucial understanding and application of mathematical principles to solve them effectively.
From the parameters given:
- If 114 ounces of water is poured three times to fill the jar
Then, the total amount of ounces that fills the water is:
= 114 ounces × 3
= 342 ounces
From the dimensional analysis of measurements:
1 ounce = 0.03125 quarts
Thus, in quarts, 342 ounces will be:
= 10.6875 quarts
Learn more about word problems in mathematics here:
brainly.com/question/21405634