MATHEMATICS HIGH SCHOOL

What are the excluded values?
7b^3/b^2-7b+10

Answers

Answer 1
Answer: The expression
7b^3/(b^2 - 7b + 10)
will become undefined if the denominator is equal to 0. To find the excluded values, we must then equate the denominator to 0.
So,
b^2 - 7b + 10 = 0

Solving the quadratic equation will give the roots:
b = 5 and 2

Therefore, the excluded values are b = 5 and 2.
Answer 2
Answer:

the answer is option B, b = 2 and 5

Related Questions

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Which inequality is represented by this graph?
Mario paid $44.25 in taxi fare from the hotel to the airport. The cab charged $2.25 for the first mile plus $3.50 for each additional mile. How many miles was it from the hotel to the airport?
Two lines, C and D, are represented by the equations given below:Line C: y = x + 14 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why? (5 points) (6, 20), because both lines pass through this point (6, 20), because the point does not lie on any axis (3, 11), because one of the lines passes through this point (3, 11), because the point lies between the two axes
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"Yonder sky has wept tears of compassion" is an example of A. assonance.
B. alliteration.
C. consonance.
D. personification.

Answers

The correct answer is D. Personification.

That is because the sky cannot really weep tears. It is given the human ability of crying so as to present the rain falling as something more poetic.

Answer:

D. personification *just took the penn foster test*

What is the x-intercept
1/2x - 3y = 8

Answers

so first make it into slope intercept form y=mx+b

1/2x-3y=8
subtract 1/2x from both sides
-3y=8-1/2x
multiply both sides by -1
3y=1/2x-8
divide both sides by 3
y=1/6x-8/3

the x intercept is when y=0
so set y to zero
0=1/6x-8/3
add 8/3 to both sides
8/3=1/6x
multiply both sides by 6
16=x

the x intercept is 16
x intercept is when y = 0
so 1/2 x - 0 = 8
solving for x
1/2 x = 8
multiply both sides by 2
x = 16 is the y intercept

In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

Answers

f(x) = 4(x² - 6x + ___) + 20

completing the square.

a² + 2ab + b²

a² = x² = x * x
2ab = -6x =  2*x* -3
b² = -3² = 9

f(x) = 4(x² - 6x + 9) + 20
f(x) = 4x² - 24x + 36 + 20
f(x) = 4x² - 24x + 56

Answer:

9

Step-by-step explanation:

Chang industries has bonds outstanding with a par value of $212,000 and a carrying value of $221,000. if the company calls these bonds at a price of $216,000, the gain or loss on retirement is:

Answers

Answer:

The gain on retirement is $5,000

Step-by-step explanation:

In this question, we are asked to calculate the gain or loss on retirement if a company calls some bonds at a particular price.

From the question, we can identify the following needed parameters to solve the question;

The carrying value of bonds = $221,000

Call price of bonds = $216,000

Mathematically, the gain on retirement can be calculated as follows;

Gain on retirement = carrying value - call price

= $221,000 - $216,000 = $5,000

Hence , the gain on retirement is $5,000

A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?

Answers

Given:
radius of the cone = half the radius of the cylinder
height of the cone = radius of the cylinder

Volume of the cone = π r² h/3

let x be the radius of the cylinder

V = 3.14 * (x/2)² * x/3
V = 3.14 * (x/2 * x/2) * x/3
V = 3.14 * x²/4 * x/3
V = 3.14x³ / 12
The answer is π r³/12.

The radius of the cylinder is r.
The radius of the cone is half of the radius of the cylinder: r/2.
The height of the cone is equal to the radius of the cylinder: r.

If the volume of the cone is π r²h/3, and the radius of the cone is r/2, and the height of the cone is r, then:
V = π × r² × h / 3
V = π × (r/2)² × r / 3
V = π × r²/4 × r / 3
V = π r³/12

All of the following ordered pairs satisfy the function rule y = -2 x - 1 except _____.(-2, 3) (0, -1) (2, -5) (-1, -3)

Answers

You need to sub your X and Y values in. Take (-1,-3) for example: if you sub in these values, your equation y=-2x -1 will become (-3)=-2(-1) - 1. However, if you simplify it out, you'll realise that it doesn't make sense as you'll get -3=-1 which is clearly untrue, thus (-1,-3) is the only pair that doesn't satisfy your function. 
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