Answer:
x = 8
Step-by-step explanation:
6x - 3 = 5x + 5
Move variable to the left hand side and change their sign.
Calculate like terms.
Move constant to the right hand side and change their sign.
<u>Check our answer :-</u>
6x -3 = 5x + 5
plug the 8 as x.
- 6 ( 8 ) - 3 = 5 ( 8 ) + 5
- 48 - 3 = 40 + 5
- 45 = 45
LHS = RHS
Kendra is going faster. You could convert Kendra's measurement to feet per second by doing to following:
0.25 mi/1 min x 5280 ft/1 mi x 1 min/60 sec
Which equals:
(0.25)(5280)ft/60 sec
Simplify, and Kendra's speed is 22 feet per second.
mi= mile(s)
min= minute(s)
ft= feet
sec= second(s)
This is because you can at most, factor out x² and y³
Answer:
(a) 1, 2, 3, 6, 8
Step-by-step explanation:
Given
Required
The sequence of hours worked each day
<em>See attachment for options</em>
From the question, we understand that:
This means that, the middle number is 3 (when sorted)
So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively
Next, is to determine the mean of (a) and (d)
The mean of a data is calculated as:
So, we have:
(a)
(d)
Option (a) is true, because it has:
Answer:
signs of the constants in the binomial factors are negative
Step-by-step explanation:
Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.
2x^2 -7x +6 = (x -2)(2x -3)
__
<em>Further comment</em>
c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.
b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.
In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.
