Factor the expression. If the expression cannot be factored, say so.
Answers
=> 2
Answer:
(x + 2)(2x + 1)
Step-by-step explanation:
Hello!
We can factor this expression using the grouping method.
What is the Grouping Method?
The grouping method is a way to factor quadratic expressions and is mostly likely used when given an even number of terms. I will show you how to factor by grouping shortly.
Step 1: AC and B
This equation is written in the standard form of a quadratic : ax² + bx + c
The rule of grouping is that we need to find two factors, so that when the terms ax² and c are multipliedd together, the two factors would add to bx.
Using the given problem:
- ax² is 2x²
- bx is 5x
- c is 2
Multiply:
- 2(2x²)
- 4x²
That means that the two factors that multiply to 4x² should add to 5x. The terms that work is x and 4x.
Step 2: Expand and factor
Now we simply replace 4x and x for 5x.
- 2x² + x + 4x + 2
Now think of these one expressions as two seperate ones.
- (2x² + x) + (4x + 2)
Find the GCF in both parenthesis
- x(2x + 1) + 2(2x + 1)
Simplify
- (x + 2)(2x + 1)
Your factored equation is (x + 2)(2x + 1)
Related Questions
Find the oth term of the arithmetic sequence 16, 21, 26, ...
A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is the train’s original speed?
There are 206 people find the percentage of 80 people
Which is the value of this expression when m= and n=-5
statements can be used to write an expression and then find the number of peanuts that ended up in each bag?
Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction,
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answers
Answer:
I think the answer is A, D, E, F, and G.
Tell me if i'm right or wrong please.
Answer:
adefg
Step-by-step explanation:
Answers
The options can be arranged in the following manner:
0 to 1 is decreases slowly,
1 to 2 is increases quickly,
2 to 3 is decreases quickly,
3 to 4 is increases slowly.
As we know there are four trends which can be classified as:
1. Increasing Trend (Upward trend)
a. Increasing quickly
b. Increasing slowly
2. Decreasing Trend (Downward trend)
a. Decreasing quickly
b. Decreasing slowly
Now, compare the two increasing trends and the two decreasing trends with each other. Further, see which of the two is fast and slow. The one with the greater slope is the fast trend and the one with the lower slope is the one with the slow trend.
Hence, the options can be arranged in the following manner:
0 to 1 is decreases slowly,
1 to 2 is increases quickly,
2 to 3 is decreases quickly,
3 to 4 is increases slowly.
To know more visit:
The labels for the 4 trends are; decreases slowly, increases fastly, decreases fastly and increases slowly respectively.
Explanation:
- First, we need to identify how many trends there are i.e. upward (increasing )trends and downward (decreasing )trends. In the given graph, there are two upward trends and two downward trends.
- Next, we need to compare the two increasing trends and the two decreasing trends with each other. By doing so, we need to see which of the two is fast and slow. The one with the greater slope is the fast trend and the one with the lower slope is the one with the slow trend.
- In the given trend the first trend is the decreasing slowly trend, the third trend is decreasing fastly. The second trend is increasing fastly and the fourth trend is increasing slowly.
Answers
Convert 160 into a decimal: 160%/100 = 1.6
Multiply the decimal by 19: 1.6 × 19 = 30.4 <-- our answer.
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0.9% of 54 is 0.486
Convert 0.9% in a decimal: 0.9%/100 = 0.009
Multiply the decimal by 54: 0.009 × 54 = 0.486 <-- our answer.
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15% of 376 is 56.4
Convert the percentage into a decimal: 15%/100 = 0.15
Multiply the decimal by 376: 0.15 × 376 = 56.4 <-- our answer.
A) –6 ≤ x < 6
B) –6 ≤ x ≤ 6
C) –6 < x < 6
D) –6 < x ≤ 6
Answers
The compound inequality that represents each situation is –6 < x < 6.
Let's consider the given situation step by step. We know that the numbers should be greater than -6, so we can use the symbol "x > -6" to represent this condition. Additionally, we need the numbers to be less than 6, which can be represented as "x < 6."
Now, we need to combine these two inequalities to represent the whole situation. Since we want both conditions to be true, we should use the "and" condition, which is represented by the symbol "∧" or simply by writing the inequalities side by side.
So, the compound inequality representing the given situation is:
-6 < x < 6
In this compound inequality, x represents any real number that is greater than -6 and less than 6. This means that the numbers between -6 and 6, excluding -6 and 6 themselves, are the solution set for this compound inequality.
Graphically, this can be represented on a number line. We draw a line and mark -6 with an open circle and draw an open circle at 6 as well. Then, we shade the region between -6 and 6 to show that all real numbers within this range satisfy the compound inequality.
So, the correct option is (c).
To know more about inequality here
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ticket sales that day. How many adults visited the museum?
A. 26
B. 33
C. 57
D. 64
Answers
Answer:
64 adult tickets were sold
Step-by-step explanation:
Let a = adult tickets sold
c = child tickets sold
a+c = 90 since there were 90 tickets sold
12a+7c = 950 since the amount of money collect is 950
c = 90-a
Substitute this into the second equation
12a +7( 90-a) = 950
Distribute
12a + 630-7a = 950
Combine like terms
5a +630 = 950
Subtract 630 from each side
5a = 950-630
5a = 320
Divide by 5
5a/5 = 320/5
a =64
64 adult tickets were sold
Answers
Answer:
see explanation
Step-by-step explanation:
2 ×
= 2 × 10 × 10 × 10 × 10
= 2 × 100 × 100
= 200 × 100
= 20000
And
= 2 × 2 × 2 × 2
= 4 × 4
= 16