Answer:
To solve this inequality you need to get x by itself
5x<2x-3 (your first step would be to subtract 2x from each side)
3x<3 ( you then divide 3 to each side to get x by itself)
x<1
Hope this helps ;)
Step-by-step explanation:
Answer:
A.) 36
Step-by-step explanation:
For a perfect square trinomial, a = 1 b = 2x c = x². For an example, (x+3)² = x² + 6x + 9.
For this trinomial, divide "b" by 2 to get 6. Square this number and you will have 36.
x² + 12x + 36
First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now
2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4
At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real.
Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result.
For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196
No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.
So x^2 = -4 has no real solutions. Taking the square root of both sides leads to
x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values
Answer:
There are 28 dolls, 32 balls, 20 cars for 80 total toys
Step-by-step explanation:
dolls : balls: cars: total
7 8 5 (7+8+5)
7 8 5 20
We have a total of 80
80/20 = 4
We need to multiply each number by 4
dolls : balls: cars: total
7*4 8*4 5*4 20*4
28 32 20 80
There are 28 dolls, 32 balls, 20 cars for 80 total toys
<em><u>Answer:</u></em>
The answer is 70 degrees.
<em><u>Step-by-step explanation:</u></em>
1. All the angles in a circle add up to 360, and the red square thing in the TVU angle means it's a 90 degree angle.
2. Add 150 plus 50 plus 90 = 290
3. 360 degrees (total) - 290 degrees = 70 degrees! :)
