Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
Answer: Market segmentation
Step-by-step explanation:
Market segmentation involves dividing people based on their consumption behavior and grouping those with similar consumption behavior together . Market segmentation helps to boost sales , increase profit and enables the business attend to the customers in a better way .
Both graphs x =4 and y =4 will be perpendicular to each other.
- The graph of x = 4 is a vertical line down the Graph scope
- The graph of y =4 is a horizontal line side the Graph scope.
Both the Lines will meet exactly at ( 4, 4 ) perpendicularly at each other both of them intersecting at 90 degrees.
Vertical and Horizontal lines are perpendicular to each other (90 Degrees).
Know more about Perpendicular Lines: brainly.com/question/1202004
Answer:
x = 18
m = 21.2
p = 31.8
Step-by-step explanation:
The ratio of the left-side length to the bottom-side length is the same for both triangles:
x/11.2 = (x +27)/28
28x = 11.2(x +27) = 11.2x +302.4 . . . . . multiply by 11.2·28
16.8x = 302.4 . . . . . . . subtract 11.2x
x = 18 . . . . . . . . . . . . divide by 16.8
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The length of m can be found using the Pythagorean theorem. The sum of the squares of the legs is the square of the hypotenuse.
x^2 +11.2^2 = m^2
m = √(324 +125.44) = √449.44 = 21.2
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The length of p can also be found using the Pythagorean theorem. We prefer the proportion ...
p/27 = m/x
p = 27(21.2/18) = 31.8
The lengths of the unknown sides in the figure are ...
x = 18
m = 21.2
p = 31.8
Answer:
48x - 40y +24
Step-by-step explanation:
