-1/2x > 6
All you have to do is divide 6 by -1/2, which is -3. The answer is x < -3, the sign got flipped because you divide by a negative number.
Answer:
The graph does not intercept the x-axis
Step-by-step explanation:
Hi there!
When the discriminant is positive, it means that in the quadratic equation, you <em>can</em> take the square root of this number and end up with two distinct solutions, one negative and one positive. The graph will intercept the x-axis twice.
When the discriminant is zero, it means that you won't be taking the square root of any number in the quadratic equation and you'll end up with two solutions that are equal, or just one distinct solution. The graph will intercept the x-axis once.
When the discriminant is negative, it means that the quadratic has no real solutions, meaning that it does not intercept the x-axis. It is impossible to take the square root of a negative number.
I hope this helps!
Answer:
Rose bought 14 packages of granola bars.
Step-by-step explanation:
Total bill = 1 bag of potatoes + x amount of packages of granola bars
Total bill = $74.25
1 bag of potatoes = $6.00
1 package of granola bar = 5.25
We set the equation to:
74.25 = 6.00 + 5.25x
Subtract 6.00 from both sides:
68.25 = 5.25x
Divide both sides by 5.25 to leave x by itself
68.25/5.25 = 5.25x/5.25
13 = x
This means Rose bought 13 packages of granola bars.
Let's recheck our work by inputting x = 13 into the equation:
74.25 = 6.00 + 5.25(13)
74.25 = 6.00 + 68.25
74.25 = 74.25
Answer:
8 (units)
Step-by-step explanation:
The formula to find the area of a triangle is A = 1/2(b*h). Since we know the area already, we can substitute that value in to calculate the answer backwards.
Plug in the numbers known:
A = 100
h = 25
Equation: 100 = 1/2(b*25)
Now solve:
100 = 1/2(b*25)
200 = b * 25
<em>8 = b</em>
So, the answer to your question is 8 (units).
Hope this helps!
