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3 years ago

If ( − x ) 3 , f ( - x ) 3 , then f ( − 3 ) = f ( - 3 ) =

Mathematics

1 answer:

timurjin [86]3 years ago

7 0

Answer:

f ( -3)

Step-by-step explanation:

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If two sides of a triangle are 5 and 7 inches longer than the third side and the perimeter measures 21, find the length of each

aleksandr82 [10.1K]

Hello

x
x +5
x + 7

x + x + 5 + x + 7 = 21
3 x = 21 - 12
3 x = 9
x = 3

3 , 5 et 7 pouces

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3 years ago

Please help asap!!! I've been struggling on this so much

gladu [14]

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3 years ago

Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers:

$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

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1 year ago

If one (1) tablespoon equals three (3) teaspoons, how many tablespoons are in 13 teaspoons?

Fittoniya [83]

D. 4 1/3 tablespoons

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3 years ago

A student gets 9 out of 15 problems correct on a homework assignment.

Alex777 [14]

Answer:40%.

Since the student got 60% correct, the remaining percentage would be the part they got incorrect.

I got 60% by translating 9/15 into a decimal and moving the decimal point to create a percentage.

Hope this helps!

Step-by-step explanation:

7 0

4 years ago

If ( − x ) 3 , f ( - x ) 3 , ﻿then ﻿ f ( − 3 ) = f ( - 3 ) =

If ( − x ) 3 , f ( - x ) 3 , then f ( − 3 ) = f ( - 3 ) =