The proportionality constant "k" is 1.88
<h3><u>Solution:</u></h3>
Given that y varies directly with x
y = 15 when x = 8
To find: proportionality constant "k"
Direct variation means that increase/decrease in one quantity also causes increase/decrease in other quantity.
⇒ y varies directly with x
This means,
Can also be written as:
y = kx
Where "k" is the proportionality constant
Substituting the given values of "x" and "y"
15 = k(8)
k = 1.875
On rounding to nearest hundredths place we get 1.88
Thus the proportionality constant is 1.88
Answer:
f(x)=
Step-by-step explanation:
The given function is an exponential function .All the graphs will begin from second quadrant . The exponential graph crosses the ordered pair at (0,-1)
It then decreases slowly as it approaches y=-2.
The point (0,-1) lies on the graph:
Substitute y = 3x + 15 to the equation -4x + 7y = 20:
-4x + 7(3x + 15) = 20 <em>use distributive property</em>
-4x + (7)(3x) + (7)(15) = 20
-4x + 21x + 105 = 20 <em>subtract 105 from both sides</em>
17x = -85 <em>divide both sides by 17</em>
x = -5
Substitute the value of x to the equation y = 3x + 15:
y = 3(-5) + 15
y = -15 + 15
y = 0
<h3>Answer: x = -5 and y = 0</h3>
Answer:
I know the answer to the last one. Its D
Step-by-step explanation:
