Since x is the number of seconds it took the rock to hit the water, x is the value that we are looking for. When the rock hits the water, it's height is 0, therefore, f(x) = 0. So, we can set the expression on the right equal to 0, and solve for 0. Let's do just that:
We can divide by -16, nothing will happen because 0 divided by anything is 0:
To factor any trinomial in standard form (given below), we must find two numbers that add to "b" and multiply to "c":
So, for this specific question, let's find two numbers that add to -8 and multiply to 9. These are clearly 9 and -1. We can write it in this way now:
Both answers would be valid, but there can't be negative time, so your answer is
"It takes 9 seconds for the rock to reach the water."
Answer: C) (1,0.80) represents the unit rate. E) (25,20) represents the price of a necklace with 25 beads
Step-by-step explanation:
(1, 0.80) represents the unit rate.
(25, 20) represents the price of a necklace with 25 beads.
= unit rate → 
= 0.80; 
= 0.80; 
= 0.80
Point (1, r) → (1, 0.80) represents the unit rate.
25(0.80) = 20; thus, (25, 20) represents the price of 25 beads.
Hope this helps
Answer: There are 3 strips that can be cut from the roll of ribbon.
Step-by-step explanation:
since we have given that
Length of a ribbon is given by
Length of pieces of ribbon cut into strips is given by
So, we need to find the number of strips that can be cut is given by
Hence, there are 3 strips that can be cut from the roll of ribbon.
Write the inequalities that are given by the :
<span>x: the number of batches of muffins
y: the number of batches of cakes
</span>Each batch of muffin requires 7 liters of milk and each batch of cakes
require 4 liters of milk.
=> liters of milk use = 7x + 4y
<span>Tania
has 56 liters of milk.=> 7x + 4y ≤ 56
Which means that the amount of muffins and cakes made are limited by the availability of 56 liter of milk.
The inequality 7x + 4y ≤ 56 is graphed by drawing the line 7x + 4y = 56 and shading the region below that line.
The line 7x + 4y = 56 has these x and y intercepts:
y-intercept: x =0 => 4y = 56 => y = 56/4 => 14 => point (0,14)
x-intercept => y = 0 => 7x = 56 => x = 56/7= 8 => point (8,0)
So, the line passes through the poins (0,8) and (14,0) and the solution region is below that line.
Also, you know that x and y are restricted to be positive or zero =>
x ≥ 0
y ≥ 0.
So, the solution region is restricted to the first quadrant.
That implies that the answer is:
</span><span>
Line joining ordered pairs 0, 14 and 8, 0. Shade the portion of the graph below this line which lies within the first quadrant
</span>
