Answer:
<em>First even integer: 6</em>
Step-by-step explanation:
<u>Inequalities</u>
Assume x is the first even integer. The next integer is x+2, and the last integer ix x+4.
The condition states that the sum of the first and the second number is 15 less than three times the third. This takes us to the inequality:
Operating:
Subtracting 2 and 2x:
Simplifying:
Solving:
x>5
There are infinitely many solutions. For example, for x=6 (first even number into the solution interval):
First integer: 6
Second integer: 8
Third integer: 10
There are other solutions, like 20,22,24 but the first set is 6,8,10.
Answer:
- Prime: 3
- GCF: 1
- Factoring Trinomials: 4
- Difference of Squares: 2
- Perfect Square Trinomial (PST): 5
Step-by-step explanation:
1. Each term has an even coefficient, so a factor of 2 can be removed:
2(3x^2 +7x -15)
The remaining quadratic factor is prime.
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2. Each of these two terms is a square, so this is the difference of two squares.
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3. This cubic has one irrational negative real root. It is prime.
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4. This trinomial factors in the usual way: (x +15)(x -2). It is factored by "factoring trinomials."
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5. The magnitude of the x-coefficient is double the square root of the (positive) constant, so this is a perfect square trinomial.
This is a right triangle. All side lengths of a right triangle can be found using Pythagorean Theorem.
1. 4^2+8^2=c^2, so this means that c=
80, so your first answer is 8.944.
2. 1600-625=a, so a is the square root of 975, which is 31.22.
3. c^2-a^2=b^2: 122,500-40000, so b^2 is 287.23.
4. 56.25+156.25=c^2, so c is 14.58
5. c^2-b^2=a^2, so a^2 is 67.8
Hope this helped.
Answer:
510
Step-by-step explanation:
170 x 3 = 510
Answer: The answer is 7x
Step-by-step explanation:
4x+6x-3x
you would combine like terms
add together the numbers with x
4x+6x=10x
then you would take that number and minus 3x
10x-3x=7x
Hope this helps please mark brainliest :)
