Answer:
<u>There are 24 orange balls and 130 green balls in the box.</u>
Step-by-step explanation:
Let orange balls be x and green balls be y.
y = 10+5x
x+y = 154
y = 154-x
Now,
y=10+5x
or, 154-x = 10+5x
or, 154-10 = 5x+x
or, 144 = 6x
so, x = 24
Now,
y = 154-x
or, y = 154-24
so, y = 130
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let me help out.
Timothy purchased $11.25 worth of groceries and paid $12.15 after taxes on Monday.
We would solve this using direct proportion.
y = kx.
12.15 = 11.25k
k = 12.15 / 11.25
k = 1.08
Timothy paid $59.13 after taxes on a purchase of groceries that cost $54.75 on Friday.
y = kx.
59.13 = 54.75k
k = 59.13 / 54.75
k = 1.08
The equation that models the relationship will be:
y = 1.08x
Answer:
15
Step-by-step explanation:
jk
Answer:
Correct option: first one -> all real values of x where x < −1
Step-by-step explanation:
First we need to find the roots of the function f(x):
0 = (x - 3)(x + 1)
(x - 3) = 0 -> x = 3
(x + 1) = 0 -> x = -1
The roots of the function are x = 3 and x = -1.
The vertex is between the roots (x = 1) and has a negative value of y (y = -4), so the concavity of the parabola is upwards.
So the graph is decreasing until it reaches the vertex, then the graph is increasing.
Then, we can affirm that the graph is positive and decreasing for all real values of x where x < -1 (for x > -1 and x < 3 we have negative values)
Correct option: first one