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lisabon 2012 [21]
3 years ago
7

If f (x) = 2/3x² + 8x, what is the value of f(6)? ​

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

Answer:

72

Step-by-step explanation:

replace the variable of x with 6 in the equation.

Valentin [98]3 years ago
8 0
72

to evaluate f(6) substitute x = 6 into f(x). f(6)=23×(6) 2+(8×6). ×x=23 1×36 12+48. ×x=24+48=72.
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Two sides of a triangle have lengths 11 and 18. Write an inequality to represent the possible lengths for the third side, x.
KatRina [158]
<span>Side inequality of triangle states that the sum of any two sides of a triangle should be greater than the third side so the sum of two sides

In this case, 11 + 18 = 29 > 3rd side So 29 > 3rd side or we can say 3rd side < 29

Also, the third side cannot be smaller than the difference of the given two sides so the third side has to be greater than 18-11 = 7 so 3rd side > 7 so if length of 3rd side is represented by x, then 7 < x < 29</span>
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2 years ago
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Enter the equation of the line in slope-intercept form.
likoan [24]

Equation parallel to y = -x is y=-x+k

so 4.5 = -7 + k so k - 11.5

Equation is y = -x + 11.5

3 0
3 years ago
4(x-3)-(2x+5)=-3x-27
Georgia [21]
4(x-3)-(2x+5)=-3x-27
4*x - 4*3 - 2x - 5 = -3x - 27
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mrs cindy had2/3 of a cake .she divided the cake equally among her 3 children. what fraction of the cake did each children get?
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3 0
3 years ago
Lily bought 20.24 pounds of grapefruit. The lightest grapefruit weighed 1.2 pounds. The heaviest grapefruit weighed 1.8 pounds.
dexar [7]

Given:

  • Lily bought 20.24 pounds of grapefruit.
  • The lightest grapefruit weighed 1.2 pounds.
  • The heaviest grapefruit weighed 1.8 pounds.

To Find:

An estimate of the number of grapefruits she bought.

Answer:

The best estimate is that Lily bought 13 grapefruits.

Step-by-step explanation:

Given that the lightest grapefruit weighed 1.2 pounds and the heaviest one weighed 1.8 pounds, we can take the mean or average of these two weights to estimate the weight of any of the grapefruits that she bought.

That is, we can say that each grapefruit must weigh something close to the average value.

The average can be found as

\frac{1.2+1.8}{2}=1.5

Thus, the average grapefruit from the bundle she bought must weigh around 1.5 pounds.

Now, given that the total weight of the grapefruit she bought is 20.24 pounds.

By the Unitary Method,

Weight of One Grapefruit = Total Weight of All Grapefruits ÷ Number of Grapefruits

So, number of grapefruits she bought = Total weight ÷ weight of one grapefruit

In other words,

number of grapefruit = \frac{20.24}{1.5}=13.49

Rounding off, we may say that Lily bought 13 grapefruits.

6 0
2 years ago
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