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kogti [31]
3 years ago
13

In a direct variation, y = 12 when x = 6. Write a direct variation equation that shows the relationship between x and y.

Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

y=2x

Step-by-step explanation:

Y=kx

12=k6

12 divided by 6 to get 2

and 2=k

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Solve the following inequality: 3-5x-x^2>=0
Dennis_Churaev [7]

Answer:

-5/2+-1/2√37≤x≤-5/2+1/2√37

Step-by-step explanation:

Step 1: Find the critical points

-x^2-5x+3=0

For this equation: a=-1, b=-5, c=3

−1x^2+−5x+3=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(3)/2(-1)

x=5±√37 /−2

x=-5/2+1/2√37

Step 2: Check intervals in between critical points

x≤-5/2+1/2 √37 (Doesn't work in original inequality)

-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)

x≥-5/2+1/2 √37 (Doesn't work in original inequality)

5 0
3 years ago
Help please ................
tigry1 [53]

Answer:

187.25

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is 2x x54 <br> people with the best answer get a friend reqised
sergejj [24]
2x X 54 is going to be 108x 

since both are positive you will get a positive #
 54 X 2 is 108
6 0
3 years ago
Please help me write quadratic equation given the roots and the leading coefficient
Pie

Answer:

Example Question: f(x) = 2x^2 + 2x - 1


If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)


Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)


To find the vertex, simply imput the axis of symmetry into the given equation.


And that’s about it.

Step-by-step explanation:

I don’t know what you’re asking for??

5 0
2 years ago
Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangl
Yakvenalex [24]
Given:
Triangle:
height = 6ft
base = 4ft

Rectangle:
length = x
Width = 6 ft

Surface Area = 150ft²

Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²

Area of a rectangle = Surface Area - Area of a Triangle
A = 150 ft² - 12 ft² = 138 ft²

138 ft² = x * 6ft
138 ft² / 6 ft = x
23 ft = x.
6 0
3 years ago
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