Answer:
x = 5 and x = -19
Step-by-step explanation:
You're on the right track. It's the "discriminant" that tells you what you want to know here. Before starting, arrange the terms of your quadratic in descending orders of x: 5x^2 + 14x - 19 = 0 (Note that I assumed you meant 14x instead of just 14).
Then the coefficients of this quadratic are a = 5, b = 14 and c = -19.
You are referring to the "quadratic formula." It states this:
-b ± √(b²-4ac)
x = -----------------------
2a
So, we insert the a, b and c values as indicated above:
-14 ± √( 14² - 4[5][-19] ) -14 ± √(196 - 4[5][-19] ) -14 ± √576
x = ----------------------------------- = ---------------------------------- = ----------------------
2(10) 20 20
This comes out to:
x = (-14 + 24) / 2 and x = (-14 - 24) / 2
or:
x = 5 and x = -19
Answer:
upper left
Step-by-step explanation:
The generic equation for a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
Comparing that equation to the one you have, you can see that ...
-h = 0
-k = +3
r^2 = 9
Then you have (h, k) = (0, -3) and a radius of 3.
The circle has its center on the y-axis 3 units below the x-axis and just touches the x-axis. This is a description of the graph at upper left.
Answer: $3.75
Step-by-step explanation:
The amount that you would save is 5% of your monthly bill of $75.
This amount is:
= 75 * 5%
= $3.75
<em>The total amount that you would pay is:</em>
<em>= 75 - 3.75</em>
<em>= $71.25</em>
Answer:
both
Step-by-step explanation:
get a line graph
Okay, here we have this:
It says that: "Seven more than four times a number (x) is less than or equal to 6"
So, let's take the number as x and from the statement we obtain the following inequality:
7+4x≤6
And as it contains a variable the inequality is open by definition
