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Advocard [28]
3 years ago
6

Use the given table to determine the appropriate model of the function. x       0             1             2             3    

        4       f(x)       3             6             12             21             33       linear exponential cubic quadratic
Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0

The differences between f(x) values are 3, 6, 9, 12. The differences between those are constant: 3. When "second differences" (for uniformly spaced x values) are constant, the function is quadratic.

_____

The degree of the function is equal to the level of differences that are constant. Linear (1st-degree) functions have 1st differences that are constant; cubic (3rd-degree) functions have 3rd differences that are constant.

If each level of differences increases in the same way, the function is exponential.

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3 years ago
Anyone plz show how to work it out step by step.​
In-s [12.5K]

Answer:

168cm^3

Step-by-step explanation:

Q to P is going to be 3cm. it is identical to the length T to U.

R to T , W to Q, S to U is going to be identical to P to V. P to V has been identified as 12 cm.

in the middle of the shape, there are 4 identical triangles. the height time length will give us the area of that one shape:

e.g for shape P to V to W to Q and back to P is one rectangle. the length is 12 cm and the width is 3 cm.

12 x 3= 36

36cm^3 is one rectangles surface area, we have 4 identical triangles that means we need to times 36 by 4.

so 36x4=144.

now on the left and right side, we have two squares. on the right, we have T to U to V to W back to T this has the height of 3 width of 4 then we do 3 X 4 which is 12, we times it by 2 because we have two identical squares.

12 X 2=24

finally we add 24 and 144 = 168cm^3.

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6 0
3 years ago
Need help really pllzzzz.....
Dominik [7]
G(x)=-2x-4
f(x)=15+0.75x

the common solution Q is their intersection-> calculate x by setting them equal:
-2x-4=15+0.75x
-2x-(3/4)x=19
-(11/4)x=19
x=-4*19/11
x=-76/11

calculate y:
f(-76/11)=15+(3/4)*(-76/11)
=15+(-3*19/11)
=15+(-57/11)
=15+-5-(2/11)
=10-(2/11)
=108/11

so the solution is a) (-76/11, 108/11)
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Use formula [f(b)-f(a)]/(b-a)
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3 years ago
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