Answer:
x=0,-1 and x=
x=\frac{2+\sqrt{10}}{3},\frac{2-\sqrt{10}}{3}x=
3
Step-by-step explanation:
1 Cancel 2 on both sides.
3{x}^{2}+3x=03x
2
+3x=0
2 Factor out the common term 3x3x.
3x(x+1)=03x(x+1)=0
3 Solve for xx.
x=0,-1x=0,−1
1 Move all terms to one side.
3{x}^{2}-3x-1-x-1=03x
2
−3x−1−x−1=0
2 Simplify 3{x}^{2}-3x-1-x-13x
2
−3x−1−x−1 to 3{x}^{2}-4x-23x
2
−4x−2.
3{x}^{2}-4x-2=03x
2
−4x−2=0
3 Use the Quadratic Formula.
x=\frac{4+2\sqrt{10}}{6},\frac{4-2\sqrt{10}}{6}x=
6
4+2√
10
,
6
4−2√
10
4 Simplify solutions.
x=\frac{2+\sqrt{10}}{3},\frac{2-\sqrt{10}}{3}x=
3
2+√
10
,
3
2−√
10
Answer:
$39.22
Step-by-step explanation:
The case costs $37. $37 is 100% of the price of the case.
The tax is 6% of the cost of the case. When you add 6% to 100% you get 106%.
The total price including tax is 106% of the price of the case.
106% of $37 = 1.06 * $37 = $39.22
Answer: $39.22
Answer:
2 1/2 miles per gallon
Step-by-step explanation:
So to travel 8 3/4 miles, we need 3 1/2 gallons of gas. All we need to do is divide the gallons of gas by miles. So we would do 8 3/4 divided by 3 1/2. 3 1/2 goes into 8 3/4 2 1/2 times.
Answer:
f(x) = 8x + 2
Step-by-step explanation:
An easy way to test what the function is, is to fill in x wiht one of the imputs, lets try two of the options, 0 and then -4
If we fill in the x as 0 we have
8(0) +2 = 2 (Put it into the equation equal to the output) Now simplify
0+2=2 Anything times 0 is 0, now wehave
2 = 2 This proves that the equation is correct
If we tried it with -4 we would also see it is correct
8(-4) +2 = -30 First multiply the -4 and 8 because of PEMDAS
-32 + 2 = -30 Now simplify
-30 = -30 This proves that the equation works, if you had tried one of the other equations they wouldn't have been equal if you had only used the f(x) = 8x with the 0 it wouldn't have worked
8(0) = 2
0 ≠ 2
