Answer:
two real, unequal roots
Step-by-step explanation:
This is a quadratic equation. The quadratic formula can be used to determine how many and what kind of roots may exist:
Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0. In this case, a = 1, b = -2 and c = -8, so that the discriminant value is
(-2)^2 - 4(1)(-8), or 4 + 32 = 36.
Because the discriminant is real and positive, we know for certain that we have two real, unequal roots
Answer:
A: C=45h+30
B: C=$322.50
Step-by-step explanation:
A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. <em>As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. </em>This information will give you the equation you see above.
B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:
<u>C=45h+30</u>
<u>C=45(6.5)+30</u>
Im using a decimal because it should be clear 1/2=0.5
<u>C= 292.5+30</u>
45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30
This results in the answer of:
<u>C=$322.50</u>
IT IS C BECAUSE IT IS SAYING IT WAS 43 AND IS NOW DROPPING BY -3
Three ratios that represent the number of red cars to blue cars are
2 : 3
6 : 9
8 : 12

<h3>Further explanation</h3>
<u>Given:</u>
Number of Red Cars = 4
Number of Blue Cars = 6
<u>Asked:</u>
Ratio = ?
<u>Solution:</u>
<em>Let:</em>
<em>Number of Red Cars = R</em>
<em>Number of Blue Cars = B</em>
The ratio that represent the number of red cars to blue cars is :

We can find other ratio by dividing or multiplying the above comparison with the same number :




<h3>Conclusion:</h3>
Three ratios that represent the number of red cars to blue cars are:

<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: College
Subject: Mathematics
Chapter: Ratio
Keywords: Lower , Common , Multiple , Highest , Ratio , Proper , Jar , Pickles , Patties , Buns