Answer:
x=-10/3
Step-by-step explanation:
(2x+4)=-4(-2x-6)
distribute -4 to (-2x-6) by multiplying
negative multiplied by a negative is a positive
8x+24=2x+4
subtract 24 from each side
8x=2x-20
subtract 2x from each side 6x=-20
divide both sides by 6
-20/6
simply to -10/3 or -3 1/3 or -3.3
x=-10/3
hope this helps! if you have any questions please ask!
We know the sum of all the angles in a quadilateral is equal to 360. so,
it would be: 360 - (74+93+117)
= 360 - 284
= 76 degrees
So, Your final answer is 76 degrees.
Hope this helps!
First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)
To find the zeros, you set the equation equal to 0 and solve for x
x^3+2x^2-8x=0
x(x^2+2x-8)=0
x(x+4)(x-2)=0
x=0 x=-4 x=2
So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)
And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.
Plugging in a -5 gets us -35
-1 gets us 9
1 gets us -5
3 gets us 21
So now you know end behavior, zeroes, and signs of intervals
Hope this helps<span />
The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.
<h3>What is the nth term of an arithmetic series?</h3>
The nth term of an arithmetic sequence is calculated by the formula
aₙ = a + (n - 1) · d
Here the first term is 'a' and the common difference is 'd'.
<h3>Calculation:</h3>
The given sequence is an arithmetic sequence.
3, 7, 11, 15, 19, ....
So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.
Thus, the required 21st term in the sequence is
a₂₁ = 3 + (21 - 1) × 4
⇒ a₂₁ = 3 + 20 × 4
⇒ a₂₁ = 3 + 80
∴ a₂₁ = 83
So, the 21st term in the given arithmetic sequence is 83.
Learn more about the arithmetic sequence here:
brainly.com/question/6561461
#SPJ1
The opposite of 12 is -12 . To add negative<span> numbers to </span>positive<span> numbers count backwards, as if you were subtracting. We have the problem: 1+ (-12). This can be read as “one </span>plus negative<span> twelve.” This can also be read as 12-1 which is 11 so the answer is 11.</span>
