Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
This is relatively simple if you understand the concept. All you have to do is take each number and then look at each inequality to see where it fits.
For example, if you take 2 and look at the first inequality, you see that 2 is not less than or equal to 5. Now if you look at the second inequality, you see that 2 is both greater than -5 and less than 5. Since 2 fits in the second inequality, you plug it into the second equation.
These functions where you have to see where the x-value fits are called piecewise functions and you will see them a lot in higher level math.
(disclaimer: I evaluated the numbers quickly, so I would doublecheck it, but I am pretty sure I didn't mess up)
Answer:
The answer is C
Step-by-step explanation:
Answer:
i) p = 4
ii) p = 8
iii) p = 12
Step-by-step explanation:
Here, we need to understand the initial relation
Mathematically, we have this as;
2.79 * p = c
So let us calculate the value of p for each value of c
i) 2.79p = 11.16
p = 11.16/2.79
p = 4
ii) 2.79p = 22.32
p = 22.32/2.79
p = 8
iii) 2.79p = 33.48
p = 33.48/2.79 = 12
Answer:
a = -1/2
b = 2
Step-by-step explanation:
Step 1: Rewrite 1st equation
-b = -5 - 6a
b = 5 + 6a
Step 2: Substitution
4a - 3(5 + 6a) = -8
Step 3: Solve
4a - 15 - 18a = -8
-14a - 15 = -8
-14a = 7
a = -1/2
Step 4: Plug in <em>a</em> to find <em>b</em>
6(-1/2) - b = -5
-3 - b = -5
-b = -2
b = 2
The true statement is as follows:
The product 13 / 4 × 2 can be used to find the unit rate in cm per hour.
After one hour, the height of the candle will have decreased by 6 1 / 2 cm.
<h3 /><h3>What is rate?</h3>
Rate is the ratio between two related quantities in different units.
The height of the candle decreases from 10 cm to 6 3 / 4 cm after burning for 1 / 2 hours.
6 3 / 4 cm = 27 / 4 cm
10 - 27 / 4 = 40 - 27 / 4 = 13 / 4 cm
Therefore, 13 / 4 cm of candles were lost in 1 / 2 hours.
Rate = 13 / 4 × 2 = 26 / 4 = 13 / 2 cm per hour
Therefore, the product 13 / 4 × 2 can be used to find the unit rate in cm per hour.
13 / 4 + 13 / 4 = 13 + 13/ 4 = 26 / 4 = 13 / 2 = 6 1 / 2 cm.
Therefore, after one hour, the height of the candle will have decreased by 6 1 / 2 cm.
learn more on rate here: brainly.com/question/18188023
