Answer:
Explanation:
Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial
Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it
Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial
We set x-2 to zero:
Now, we substitute 2 into the polynomial as follows:
There is a remainder of -28 and thus, the linear factor is not a factor of the binomial
Answer:
(a) Number of inches that have burned from the candle since it was lit is (1.1t) inches
(b) The remaining length of the candle is (16 - 1.1t) inches
Step-by-step explanation:
(a). Length of candle before it was lit = 16 inches
Constant rate at which at which candle burns = 1.1 inches per hour
Let t represent the number of hours that have elapsed since the candle was lit
In 1 hour, 1.1 inches of the candle burned
Therefore, in t hours, (1.1t) inches of the candle would have burned since the candle was lit
(b) Remaining length of candle = length of candle before it was lit - length of candle that have burned = 16 inches - 1.1t inches = (16 - 1.1t) inches
Based on the information given, the true statement true about their gas-price data is A. Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
<h3>
Solution to the gas-price data.</h3>
It should be noted that a standard deviation simply measures how dispersed the data will be in relation to the mean.
From the complete question, the mean of Raquel's data is given as 3.42 while the standard deviation is given as 0.07. On the other hand, the mean of Van's data is given as 3.78 while the standard deviation is given as 0.23.
Therefore, it can be deduced that Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
Learn more about standard deviation on:
brainly.com/question/19243813
Answer:
The total amount paid to Usan (gross pay) is $416.75
Step-by-step explanation:
15% (tip) per dollar. There are 325 dollars here.
Usan earns $2.15 an hour. There are 20 hours here.
15% times 325 --- 325 * 1.15 (we are adding the tip right away by having the one in front of the .15)
1.15*325 = 373.75
2.15 times 20
2.15*20 = 43
-------------------
373.75 + 43 = 416.75
$416.75
L (water level) = -0.5 d (days) +34
Place 26 into the (L) variable and solve
26= -0.5 d + 34
0.5 d = 8
d=16
