What's the coefficient of the term ab2?

A. There is no coefficient.

B. 1

C. a

D. 0

Answer:

 , , and

Step-by-step explanation:

1.

Let's find a common denominator:

=

2/(x-1)x(x+1)

2.

Distribute exponents:

2^3(y^2)^3

__________

  8^2(y)^2

Numerator:

2 to the power of 3 equals (2 · 2 · 2) = 8

y to the power of 2 to the power of 3 equals, y to the power of 6 (this is because when exponents in parenthesis are held to the power of another number outside of the parenthesis, you multiply them)

Now let's simplify the denominator:

8 to the power of 2 equals (8 · 8) = 64

y to the power of 2 is just y to the power of 2, so our new expression is:

Let's cancel the terms further:

8/64 can be simplified to 1/8

And when you cancel exponents, you subtract the denominator's exponent from the numerator's exponent ( = )

Now put them together:

Which is,

=

y^4/8

3.

The common denominator for both fractions is 3t, so let's make -1/3's denominator 3t by multiplying t to both the numerator and the denominator:

-1 · t

_____ = -1(t)/3t = -t/3t

 3 · t

Now let's solve for the numerator:

(t + 2) - t, the t's cancel out, t - t + 2 = 2

And the denominator stays the same, so it will still equal 3t

Finally, you'll get an answer of

=

2/3^2

The accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

C. To determine the y-intercept, move from the origin vertically to the graphed line. To find the slope, you will use two ordered pairs on the line and substitute into the equation  .

Recall:

The y-intercept is the point at which the graphed line intercepts the y-axis (vertical axis). The y-intercept is the value of y here.

Slope (m) =

You can simply find the y-intercept on a coordinate plane like the one given in the image attached below.

To do this, from the point of origin (0), you have to move towards the graphed line, that's vertically upwards, to the point where the line crosses the vertical axis.

The y-intercept in the graph shown in the image = 2.

To find the slope, use two ordered pairs on the line, i.e., (0, 2) and (1, 5). (see attached image.)

• Next is to let,

• Then, substitute the values into  

Thus:

Therefore, the accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

C. To determine the y-intercept, move from the origin vertically to the graphed line. To find the slope, you will use two ordered pairs on the line and substitute into the equation  .

Learn more here:

brainly.com/question/14431998

Answer:

To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.

Step-by-step explanation:

Answer:

3/4, or three quarters of people are on vehicles.

Step-by-step explanation:

solution 1:find the number of vehicles

personal vehicles and buses are both vehicles so we add the number, 16 and 56 to get a total of 72 people on vehicles. the total number of people there is 16+56+24 and this is 96. now we express this as a fraction and get 72/96. we simplify by dividing 24 from both top and bottom to get 3/4.

solution 2:find the number of people walking and subtract.

24 are walking out of the 96. this means 1/4 people are walking and the rest are on vehicles. 1- 1/4 is 3/4, so 3/4 people are on vehicles.

Answer:

3/4

Step-by-step explanation:

The given expression simplified can be written as -1 + 6i. which is the correct answer that would be an option (A).

What is a complex number?

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

To simplify the expression (3 + 8i) − (4 + 2i), we need to subtract the two complex numbers. To do this, we subtract the real parts and the imaginary parts separately.

The real part of the first complex number is 3, and the real part of the second complex number is 4.

Subtracting these gives us -1.

The imaginary part of the first complex number is 8, and the imaginary part of the second complex number is 2.

Subtracting these gives us 6. Therefore, the simplified expression is (-1) + (6i) = -1 + 6i.

Therefore, the correct answer is: -1 + 6i.

Learn more about the complex numbers here:

brainly.com/question/19007885

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Answer:

-1+6i

Step-by-step explanation:

(3+8i)-(4+2i)

3+8i-4-2i

3-4+8i-2i

-1+6i