What’s the result when 3a^2 - 2a + 5 is subtracted from a^2 + a - 1
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Answers
Answer:
-2a^2+3a-6
Step-by-step explanation:
a^2+a-1-(3a^2-2a+5)
=a^2+a-1-3a^2+2a-5
=-2a^2+3a-6
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Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4kg. The total weight of Carl's baggage is 35kg. Write an equation to find the weight of the checked bags.
C. 6.5%
B 6%
D. 7%
Answers
Explanation : 1. Find out the increase number by subtracting 4.58 - 4.30 = 0.28 or 6.51%
2. Divide the increase number 0.28 by 4.30 and multiple by 100 which gives you 6.51162791 .
3. Get rid of all the numbers behind 5 and you can’t round it because 1 is too small. Which then gives you the answer 6.5 :) <3
Answers
Answer:
Step-by-step explanation:
Let
x ----> the mean temperature for the first 8 days in January
we know that
The mean temperature for the first 7 days in January multiplied by 7 is equal to the sum of the temperatures for the first 7 days
9(7)=63°C
so
The sum of the temperatures for the first 7 days plus the temperature on the 8th day, all divided by 8 is equal to the mean temperature for the first 8 days in January
Answer:
8.875 degrees Celsius
Step-by-step explanation:
Answers
Answers
Answer:
(n ≤ -3) ∪ (-1 ≤ n)
Step-by-step explanation:
I like to "unfold" the absolute value expression by copying the right-side expression to the left side (with the same comparison symbol) and negating its value. I do it this way because I find it easier to work the problem "all at once".
-1 ≥ n +2 ≥ 1
Obviously, -1 ≥ 1 is not true, which means the solution to this inequality will be disjoint sections of the number line. A compound inequality of this nature is generally interpreted to mean the AND of the two inequalities. So, technically, this is an incorrect step. I choose to overlook that, and consider the expression to represent the two inequalities ...
-1 ≥ n +2 . . . OR
n +2 ≥ 1
Subtracting 2 from the above compound inequality gives ...
-3 ≥ n ≥ -1
So, the solution is ...
(n ≤ -3) ∪ (-1 ≤ n)
_____
Further explanation
The inequality symbol negates its content if that content is negative. So, the expression ...
|n+2| ≥ 1
means ...
±(n +2) ≥ 1
This resolves to two cases:
n +2 ≥ 1
and
-(n +2) ≥ 1
The latter case is equivalent to ...
n +2 ≤ -1
which can also be written as ...
-1 ≥ n +2
A more technically correct solution process would identify the two cases and work them separately.
__
In the graph, the red shading (with the solid edge) shows the solution with respect to the numbers on the x-axis. If you were to graph this on a number line, you would put solid dots at -3 and -1, and shade the line to their left and right, respectively. The blue curve shows the absolute value, and the green line shows y=1, so you can see that the shaded areas correspond to the absolute value being greater than or equal to 1.
3.1 x 10^8 3.1 x 10^7 3.1 x 10^–8 31 x 10^7 5. What is the solution to (4 x 10^3) x (6 x 10^6), written in scientific notation?
24 x 10^9 2.4 x 10^9 24 x 10^18 2.4 x 10^10 8 What is 0.00000512 in scientific notation? 5.12 x 106 512 x 105 5.12 x 10–6 512 x 10–5 9 What is thirty-one over five written as a decimal? 1.6 6.1 6.2 6.5 My answers are: 1. 17/25 2. 1/8 4. 3.1 x 10^8 5. 2.4 x 10^9 8. 5.12 x 10^6 9. 6.1
Answers
2. There are 8 slices and 16 students, the fraction is 8/16 or 1/2
3. (4 x 10^3) x (6 x 10^6) = 2.4 x 10^10
4. 308,745,538 in scientific notation is 3.1 x 10^9
31/5 is 6.2