Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x = 
Plug known variables in:
Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33
y = 49
So the y coordinate of the vertex is 49.
Hope this helps!
1. Slope = -7
Y intercept= 8
The expected value of this policy to the insurance company is $285.00.
Using this formula
Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]
Let plug in the formula
Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]
Policy expected value=$1,300-($615+$$400)
Policy expected value=$1,300-$1,015
Policy expected value=$285.00
Inconclusion the expected value of this policy to the insurance company is $285.00
Learn more here:
brainly.com/question/19819099
Yes, solutions, roots, x-intercepts, and zeros are the same thing.
<h3>
What is a quadratic equation?</h3>
The general quadratic equation is given by:
a*x^2 + b*x + c = 0
So the solutions are the values of x such that the above thing is zero.
On another hand, a parabola or a quadratic function is given by:
a*x^2 + b*x + c = y
The roots, zeros, or x-intercepts (these represent the same thing) are given by:
a*x^2 + b*x + c = 0
- Zero or Root means that when you evaluate the function in that value the outcome is zero.
- X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.
So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.
Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.
If you want to learn more about quadratic functions, you can read:
brainly.com/question/1214333
Answer:
x=3
Step-by-step explanation:
