MATHEMATICS HIGH SCHOOL

Suppose that the equation of motion for a particle (where s is in meters and t in seconds) is s = 5 t^2 - 8 t + 3
find the acceleration at the instant when the velocity is at 0

Answers

Answer 1
Answer: Differentiate equation
v = 10t - 8
Differerentiate again
a = 10

Accelleration will always be 10m/s^-2

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What special marks are used to show that segments are congruent? A. midpoint B. hashmarks C. angle bisector D. arcs
Select the correct answer. The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number? A. The equation that represents this situation is 10 − x = -18. The second number is 28. B. The equation that represents this situation is 10 + x = -18. The second number is -28. C. The equation that represents this situation is x − 10 = -18. The second number is -8. D. The equation that represents this situation is -10 + x = -18. The second number is -8.

How can you tell if a number is divisible by 3

Answers

If the sum of the digits of a number is divisible by 3.
621=6+2+1=9
9/3=3
if 3 can go into that number equally

(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are ___, ___, and ___.

Answers

The all other 3 factors of the equation  x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).

What are the roots of an equation?

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

Given the equation,

x⁴ + 2x³ − 7x² − 8x + 12

If (x - 2) is a factor of the equation then it should be divisible by it.

So,

(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)

Now divide by (x - 1) of  (x³ + 4x² + x - 6)

(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6

So,

⇒ (x - 2)(x - 1)(x² + 5x + 6)

⇒  (x - 2)(x - 1)( x² + 2x + 3x + 6)

⇒   (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]

⇒  (x - 2)(x - 1)(x + 2)(x + 3)

Hence "The all other 3 factors of the equation  x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3)".

To learn more about the roots of an equation,

brainly.com/question/12029673

#SPJ2

Answer:

Step-by-step explanation:

The given equation is:

x^4+2x^3-7x^2-8x+12

Now, (x-2) is a factor of the given equation, therefore

(x-2)(x^3+4x^2+x-6)

(x-2)(x-1)(x^2+5x+6)

(x-2)(x-1)(x^2+3x+2x+6)

(x-2)(x-1)(x(x+3)+2(x+3))

(x-2)(x-1)(x+2)(x+3)

Therefore, the other factors are (x-1), (x+2) and (x+3).

How to solve number 21 :/

Answers

\left(\begin{array}{cc}1&1\n-2&1\end{array}\right) \bold{M}= 2\left(\begin{array}{cc}1&0\n0&1\end{array}\right)\n \bold{M}=2\frac{ \left(\begin{array}{cc}1&0\n0&1\end{array}\right) }{ \left(\begin{array}{cc}1&1\n-2&1\end{array}\right)}\n \bold{M}=2\left(\begin{array}{cc}1&0\n0&1\end{array}\right) \left(\begin{array}{cc}1&1\n-2&1\end{array}\right)^(-1)

\left(\begin{array}{cc}1&1\n-2&1\end{array}\right)^(-1)=(1)/(1-(-2))\left(\begin{array}{cc}1&-1\n2&1\end{array}\right)\n\left(\begin{array}{cc}1&1\n-2&1\end{array}\right)^(-1)=(1)/(3)\left(\begin{array}{cc}1&-1\n2&1\end{array}\right)\n\left(\begin{array}{cc}1&1\n-2&1\end{array}\right)^(-1)=\left(\begin{array}{cc}(1)/(3)&-(1)/(3)\n(2)/(3)&(1)/(3)\end{array}\right)\n\n
\bold{M}= 2\left(\begin{array}{cc}1&0\n0&1\end{array}\right)\left(\begin{array}{cc}(1)/(3)&-(1)/(3)\n(2)/(3)&(1)/(3)\end{array}\right)\n\bold{M}= 2\left(\begin{array}{cc}(1)/(3)&-(1)/(3)\n(2)/(3)&(1)/(3)\end{array}\right)\n\bold{M}= \left(\begin{array}{cc}(2)/(3)&-(2)/(3)\n(4)/(3)&(2)/(3)\end{array}\right)

What is the equivalent fractions for 3/10?

Answers

Answer:

6/20, 15/50, 9/30, 30/100, 12/40, 18/60....

Step-by-step explanation:

Its just multiplying the fraction by any whole number.

Make sure to do both the numerator and the denominator!

(hope this helps)

What is the sqrt of (45n^5)?

Answers

3n^2 sqrt 5n

hope that helped (:

What is the perimiter of a quadrilateral with verticles at (5,2), (10,2), (5,5), and (10,5)

Answers

Answer:

55

Step-by-step explanation:
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