For # 3 and 5 you need to use the quadratic formula:
<span>(-b +/- srt(b^2 - 4ac))/2a </span>
<span>a, b, and c are representative of this formula: ax^2 +bx + c </span>
<span>1) 2x^2+3x-9=0 </span>
<span>(2x - 3)(x + 3) = 0 </span>
<span>2x - 3 = 0, x + 3 = 0 </span>
<span>+3 +3, -3 -3 </span>
<span>2x = 3, ***x = -3*** </span>
<span>/2 /2 </span>
<span>***x = 3/2*** </span>
<span>2) 5x^2+2x=0 </span>
<span>(x)(5x + 2) = 0 </span>
<span>5x +2 = 0, ***x = 0*** </span>
<span>-2 -2 </span>
<span>5x = -2 </span>
<span>/5 /5 </span>
<span>***x = -2/5*** </span>
<span>4) 4x^2+7x-2=0 </span>
<span>(4x - 1)(x + 2) = 0 </span>
<span>4x - 1 = 0, x + 2 = 0 </span>
<span>+1 +1, -2 -2 </span>
<span>4x = 1, ***x = -2*** </span>
<span>/4 /4 </span>
<span>***x = 1/4***</span>
32.50+4.50x
You are going to pay $32.50 no matter what, that is what you pay for basic cable. $4.50 is what you pay for the extras, so depending on how many premium channels you want, you will pay $4.50 for every extra channel, which is why it is 4.50x because the x is how many premium channels you purchase that month.
Answer:
Donna spent 80% on fruit.
Step-by-step explanation:
First, we know that she spent $64 on fruit. We also know that she spent a total of $80. Then, we take 64/80. This gives us 0.8. Move the decimal two to the right and you have the percentage, 80%.
Problem
Solution
For this case we want to find the domain for this case and we can analyze the denominator on this case because cannot be equal to 0, so we can set up this:
If we factorize we got:
(X-3)(x+2)=0
So then we have X=3 and X=-2
With these results we can conclude that the value of x cannot be 3 or -2 because then the function will be not defined
And the best solution is:
A. all real numbers except -2 and 3
