Answer: using the discriminant to find the number of solutions to a quadratic equation b^2-4ac. positive discriminant indicates that the quadratic has <u>two distinct real number solutions.</u> The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.
Step-by-step explanation:
can i have the answer choices
Answer:
The person invested $3500 at 7% and $2500 at 5%
Step-by-step explanation:
We can say that
because the investment is equal both in one as in another, where x is the income from the investment.
Solving the equation we have:

Then to get the incomes:
At 7%: 
And at 5%: 
Finally we can demonstrate the answer because the income at 7% + income at 5% are 3500+2500=$6000
Answer: slope = 3
Step-by-step explanation:
We can see from the point intersecting the y axis (y-intercept) to the point (1, 1) it goes up 3 and right 1 giving us the slope
simplified to 3
First, we must know what the two variables in the equation y=mx+b really means.
The M represents slope while the B represents the Y-intercept.
With that out of the way, take a look at your top equation, y = 3/2x + ?. If you noticed the question mark is in the spot of the B (Y-intercept), we can simply find this by finding where on the graph does the line intercept the Y-axis.
Triangle B shows the Y-intercept to be -7, this means that the hypotenuse intercepts the Y-axis at (0 , -7).
If we were to find the (what I like to call) the interception point of triangle A's hypotenuse and the Y-axis, we find our missing variable.
Just looking at the graph, we can count and visually determine that the Y-intercept of the hypotenuse is (0 , 1).
Therefore, we can say: The equation of A's hypotenuse is:
y = 3/2x + 1
Hope I could help you out!
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1) the vertex of a parable is given for two points, ( -b/2a, -b2-4ac/4a)
2) Now substitute the values in the equation
x = - (-8)/2(-2) = 8/ -4 = -2
y = -(8^2-4(-2)(1)/ 4(-2) = -(64-8) /-8 = 56/8 = 7
v(-2,7)