<h3>
Answer:</h3>
y = 2x + 5
<h3>
Step-by-step explanation:</h3>
<u>Definitions</u>:
Slope Intercept form; y = mx + b
m = slope
b = y intercept
Step 1: Since the slope is given plug it into y = mx
y = 2x + b
Step 2: Plug a points' x and y into their corresponding spots to solve for b
(33) = 2(14) + b
Simplify and solve
33 = 28 + b
-28 -28
5 = b
Plug both your slope in and your y intercept into y = mx + b
y = 2x + 5
Answer:
They will sound together at 2pm
Step-by-step explanation:
Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.
To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40
The lowest common multiple between both is 120
This means that the two gongs will sound together at exactly 120 minutes
Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours
Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm
Answer:
a = - 4, b = 5
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on the right side.
- 3(2x² + ax + b)
= - 6x² - 3ax - 3b
Comparing like terms with - 6x² + 12x - 15
x - term → - 3a = 12 ( divide both sides by - 3 )
a = - 4
constant term → - 3b = - 15 ( divide both sides by - 3 )
b = 5
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