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2 years ago

A train moves from rest to a speed of 25 m/s in 30.0 seconds. What is its acceleration?

Mathematics

1 answer:

12345 [234]2 years ago

6 0

Answer:

$a=0.8\bar{3}m/s^2$

Step-by-step explanation:

$a=\frac{v}{t} \\a=\frac{25m/s}{30s}\\ \\a=0.8\bar{3}m/s^2$

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Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.

PtichkaEL [24]

Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.

According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)

=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.

8 0

3 years ago

Solve the following inequality.

Anika [276]

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

Given the following inequality,

$\frac{m - 2}{3} < -2 \\$

4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

$\frac{m - 2}{3} < -2 \\$

Multiply both sides by 3

$\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6$

Add 2 to both sides

$m - 2 + 2 < -6 + 2\\\\m < -4$

4m + 3 > 15

Subtract 3 from each side

4m + 3 - 3 > 15 - 3

4m > 12

Divide both sides by 4

$\frac{4m}{4} > \frac{12}{4} \\\\$

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

Learn more here:

brainly.com/question/24434501

8 0

2 years ago

Help please thanks so much

suter [353]

Answer:

4/6 0r 2/3

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.

nekit [7.7K]

Hi there!

$\large\boxed{\text{False.}}$

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

1/5 < 1, so the function is undergoing exponential decay, not growth.

7 0

2 years ago

Simplify completely 12 times x to the third power minus 4 times x to the 2nd power plus 8 times x all over negative 2 times x

lawyer [7]

(12x^3-4x^2+8x)/(-2x) The greatest common factor of the numerator and denominator is -2x so upon division by GCF of both numerator and denominator you have:

-6x^2+2x-4 and we can now also factor out -2

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

5 0

3 years ago