Here, we are required to determine the solution to the equation: 13.7y = 6.2y + 30?
The solution to the equation is y = 7.5
The solution is thus,
- 13.7y = 6.2y + 30
- 13.7y - 6.2y = 30
- 7.5y = 30
Therefore, y = 30/7.5 = 4
Therefore, y = 4 is the solution to the equation.
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Answer:
The bottom right histogram is the correct one.
Step-by-step explanation:
Carrots weight 40-49 kg = 2
... of weight 50-59 = 6
... of weight 60-69 = 4
.. of weight 70-79 = 1
To calculate slope; rise/run
Triangle ABC: run-1 rise-5 slope-5
5 rise/ 1 run (5/1)=5
Triangle DEF: run-2 rise 10 slope-5
10 rise/ 2 run (10/2)=5
B. They are equal because the two triangles are similar
F(x) = 5 + 2x where x is the number of times he walks the neighbours dog
y-intercept is at y=5 and slope = 2
g(x) :- As x increases by 4 g(x) decreases by -8 so the slope is -8/4 = -2
when x = 0, g(x) = the y intercept is at -1 + (-8/2) = - 5
so equation of g(x) is g(x) = -5 -2x
h(x):- the slope is (3 - 5) / (1 - 0) [ difference in y values / diff in x values]
slope = -2
so we have h(x) = -2x + c where c = the y-intercept
when x = 0 h(x) = 5
so c = 5
h(x) = 5 - 2x
Now j(x)= 2x - 5 - slope is 2 and y intercept = -5
