Zoe will need to buy 48 beads.
3 + 1 + 2 = 6.
6 x 8 = 48.
Hope this helps!!!:)
Answer:
The answer to your question is y = 4 - 1.5x
Step-by-step explanation:
Data
River's speed = 2 mi/h
David's speed = 6 mi/h
Rate of change = 1.5 mi/h
From the data given, we can conclude that the rate of the boat will be the difference between David's speed and the speed of the boat = 4mi/h.
The slope must be negative because it decreases.
The only equation that satisfies both conditions is the second option.
Answer:
x = 3 is extraneous
Step-by-step explanation:
Given
= x - 5 ( square both sides to clear the radical )
4x - 8 = (x - 5)² ← expand using FOIL
4x - 8 = x² - 10x + 25 ( subtract 4x - 8 from both sides )
0 = x² - 14x + 33 ← in standard form
0 = (x - 11)(x - 3) ← in factored form
Equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
x - 3 = 0 ⇒ x = 3
As a check
Substitute these values into the equation and if both sides are equal then they are solutions
x = 11
left side = 
= 
= 6
right side = 11 - 5 = 6
Thus x = 11 is a solution
x = 3
left side = 
= 
= 2
right side = 3 - 5 = - 2 ≠ 2
Thus x = 3 is an extraneous solution
The values x and y are determined when we use the substitution method.
y = x + 5
Apply eh value of y into the equation to solve for x.
3x + y = 25
3x + x + 5 = 25
Combine like terms
3x + x = 4x
4x + 5 = 25
-5 -5 4x = 20
4x/4 = 20/4
x = 20/4
x= 5
Now we know the value of x, and we need to solve for y.
y = x + 5
y = 5 + 5
y = 10
10 = 10
Now we know both of these values.
Answer:
x = 5
<span>y = 10</span>
