Answer:
x-intercept= (3⅓, 0)
y-intercept= (0, 4²⁄₇)
Please see the attached picture for the graph.
Step-by-step explanation:
-9x -7y= -30
Let's simplify the equation by dividing both sides by -1.
9x +7y= 30
x- intercept occurs at y= 0.
When y= 0,
9x +7(0)= 30
9x= 30
x= 30 ÷9

Thus, x- intercept occurs at (3⅓, 0).
y-intercept occurs at x= 0.
When x= 0,
9(0) +7y= 30
7y= 30
y= 30 ÷7

Thus, y- intercept occurs at (0, 4²⁄₇).
_____
To graph the equation, draw the x and y axis on a graph paper. Use an appropriate scale to divide the line into equal parts. Next, plot the points (3⅓, 0) and (0, 4²⁄₇). Then, join the two points with a straight line.
Notes:
- x- intercept is the point at which the graph cuts through the x- axis. In this case, your x- axis is the horizontal line that runs from left to right of your graph paper. In order for a point to be on this horizontal line, look at the y- axis and notice that it sits at y= 0. The same reason applies for why the y- intercept occurs at x= 0. This has to do with the two axis cutting each other at the point (0,0), resulting in the x and y coordinates of 0 for the y and x intercepts respectively.
- Simplifying the equation in the first step is not necessary, but it is a good practice and might reduce carelessness.
Answer:
The population is expected to double in 36 years
Step-by-step explanation:
According to the the rule of 72,
A value is doubled if the product of the annual rate and number of years is 72,
Given,
The annual rate of interest = 2%
Let x be the time in years after 1965,
By the above statement,
The population will double if,
x × 2 = 72 ⇒ x = 36
Hence, the after 36 years since 1965 the population will be doubled,
i.e in 2001. ( ∵ 36 years after 1965 )
Answer:
Answer: 3.75 g
Step-by-step explanation:
Assume the weight of the square is x.
The hanger is in balance so the left side is equal to the right side.
Equation therefore is:
Triangle + Square + 3 * circle = 5* square + circle
3 + x + (3 * 6) = 5x + 6
3 + x + 18 = 5x + 6
5x - x = 3 + 18 - 6
4x = 15
x = 15/4
x = 3.75 g
Answer:
first we will make them like fractions
so 1/5= 2/10 so it will be
2/10+3/10= 5/10
HOPE IT HELPS
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Answer:
Step-by-step explanation:
a. 2x + 36
2. 6a + 15b
3. 35x + 15y
4. 3p + 2q
5. 3a + 8