So, this is too vague but I'll solve for both quadratic formula and find the discriminant.
Quadratic formula: <span>x=<span>5+<span><span><span>√35 OR</span><span> </span></span>x</span></span></span>=<span>5−<span>√<span>35
Finding the discriminant: 141</span></span></span>
Answer:
<u>The correct answer is C. 66.7</u>
Step-by-step explanation:
1. y varies directly with regard to x
y = 9 and x = 24
If y = 25, what is the value of x?
2. For finding that value of x, first of all, we should understand what happened to y.
If y moves from 9 to 25 it means that y has been multiplied by 2.77, using this simple division
25/9 = 2.777
3. And we should use that same number or value to calculate the new value of x
If x was 24, now the new value of x is 24 * 2.777
24 * 2.777 = 66. 67 or 66.7 (rounding to just one decimal)
<u>The correct answer is C. 66.7</u>
Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation, 
, where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
.
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
110 square units.
Step-by-step explanation:
Points X6,8 Y3,3 , and Z13,-3 form the triangular outline of a park. What is the area of △ XYZ ？ area of △ XYZ= 110 square units.
