Answer:
x^2 + 3x - 18
Step-by-step explanation:
In order to solve this problem, I recommend using the FOIL method.
F = Front
O = Outer
I = Inner
L = Last
Start by multiplying the fronts which is x with x, which will give you x^2 (X to the second power).
Then, multiply x and -3, which gives you -3x. (Outer)
Third, multiply 6 and x, which gives you 6x. (Inner)
Finally, multiply 6 and -3, which gives you -18. (Last)
Now, there are like terms in the products that we just did which is 6x and -3x combine them together and you will get 3x.
So your results should be
x^2 + 3x - 18
Hope this helps!
It shows that a parabola can be described by tangents formed by lines with decreasing y-intercepts and equivalently increasing x-intercepts.
<span>The correct answer is n</span>²<span>+3.
Explanation<span>:
We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.
Since these are different, this is not linear.
We now find the second differences:
5-3=2; 7-5=2; 9-7=2.
Since these are the same, this sequence is quadratic.
We use (1/2a)n</span></span>²<span><span>, where a is the second difference:
(1/2*2)n</span></span>²<span><span>=1n</span></span>²<span><span>.
We now use the term number of each term for n:
4 is the 1st term; 1*1</span></span>²<span><span>=1.
7 is the 2nd term; 1*2</span></span>²<span><span>=4.
12 is the 3rd term; 1*3</span></span>²<span><span>=9.
19 is the 4th term; 1*4</span></span>²<span><span>=16.
28 is the 5th term: 1*5</span></span>²<span><span>=25.
Now we find the difference between the actual terms of the sequence and the numbers we just found:
4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.
Since this is constant, the sequence is in the form (1/2a)n</span></span>²<span><span>+d;
in our case, 1n</span></span>²<span><span>+d, and since d=3, 1n</span></span>²<span><span>+3.</span></span>
Answer:
152in^2
Step-by-step explanation:
12x6=72
8x10=80
80+72=152
Answer:
Step-by-step explanation:
We are given the equation:
We want to solve for x, so we must isolate x.
x is being multiplied by 4. The inverse of multiplication is division. Use the <u>Division Property of Equality</u> and divide both sides of the equation by 4.
Using the Division Property of Equality, x is equal to 5y/4
