Question:
The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?
Answer:
The value of t is reduced by 6 when the value of r is increased by 4
Step-by-step explanation:
Given
Required
What happens when r is increased by 4
<em>-------- Equation 1</em>
Subtract 2t from both sides
--- <em>Equation 2</em>
When r is increased by 4, equation 1 becomes
Note that the increment of r also affects the value of t; hence, the new value of t is represented by T
Open bracket
Rearrange
<em>Substitutr -2t for 3r + 6 [From equation 2]</em>
Make T the subject of formula
Divide both sides by 2
This means that the value of t is reduced by 6 when the value of r is increased by 4
The answer is 14 eggs
There are 12 eggs in a dozen and 3/4 of a dozen is 9
So 5eggs+9eggs=14eggs
Hope this helps with your egg problem;)
Answer:
g(x) has the greatest y-intercept (the graph)
Step-by-step explanation:
The y-intercept for f(x) is -1, we can easily identify it at the end of the function.
The y-intercept for g(x) is 2, we can see that's where it crosses the y-axis.
The y-intercept for h(x) is 1, we can find this by substituting 0 for x in the equation.
h(0) = cos(0+2)
h(0) = cos(2)
h(0) = cos(360)
h(0) = 1
= 180 when converting degrees to radians, and you can find the cosine of 360 with a calculator.
Divide 5 by 12 and that will give you your answer