Hold up. Hee haw. Whoa!
Your first instinct was to multiply it out and get rid of the parentheses.
That's often a good instinct, but this time, it made things harder for you.
This is a good example of a rule you should consider:
Before you do anything to anything, sit back, relax,
LOOK at the problem, THINK about it, and plan your
strategy. Decide what the solution might look like,
and what you're going to do to the given information
in order to move towards the solution.
You might look at this particular equation and ponder:
-- If I multiplied this thing out and got rid of the parentheses, it would
have x³ in it. So there are going to be 3 solutions.
-- If either factor is zero, then the equation is true.
-- One of the factors is 6x. Setting that to zero gives one solution: x=0.
-- The other two solutions come from setting (4x² - 4) = 0 .
-- That's the difference of 2 squares, so it's (2x + 2) (2x - 2) = 0
-- The other 2 solutions come from setting each of those factors to zero.
There you are. You got this far just by thinking, without even picking up
your pencil yet.
Answer:
3 * (x + 7)
Step-by-step explanation:
Mark number as x
Then the sum of a number and seven is x + 7
Three times x + 7 can be written as
3 * (x + 7)
Parentheses mean that we first add x and 7 and then multiply their sum by 3
Alternatively you can write it as 3x + 21, since
3 * (x + 7) = 3 * x + 3 * 7 = 3x + 21
Answer:
The correct option is;
Yes, his calculations are correct and the volumes for figures are equal
Step-by-step explanation:
The volume, V, of a square (of side s) pyramid of height h = 
Where:
s = 9.7 inches
h = 9 inches
We have;
The volume, 
, of a cylinder of radius r = Base area × Height, h = (π×r²)×h
Where:
Base area = π×r²
r = Radius of the cylinder = 5.47 inches
h = Height of the cylinder = 3 inches
= π × 5.47² × 3 = π × 29.9209 × 3 = π × 89.7627 = 281.998 ≈ 282 m³
Therefore, Jude is correct.
Semi-monthly means twice every month, typically either on the 1st and 15th,
or on the 15th and last.
Months don't line up with weeks in any regular way. Depending on the
company, if they say "bi-monthly", they may pay 24 times a year, or else
26 times a year.
If they pay every 2 weeks, the semi-monthly is $2400.
Answer:
D. We are 95% confident that between about 22% and 28% of ESPN Viewers thought the Eagles would still win the division.
Step-by-step explanation:
We have to calculate a 95% confidence interval for the population proportion. The population is made up of ESPN viewers.
The sample proportion is p=0.25.
The standard error of the proportion is:
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the proportion of ESPN viewers is (0.222, 0.278) or (22.2%, 27.8%).
