help please! state the key features for the graph​

9514 1404 393

Answer:

  (x-8)/(4x-4)  x ≠ 1 or 8

Step-by-step explanation:

Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.

  \(\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}\)

The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.

The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.

First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."

Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:

110% of T = 1.1 x T

Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:

Number of boxes = (1.1 x T) / 6

Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:

Total cost = (1.1 x T / 6) x R234

Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

$900

Step-by-step explanation:

18% of $5000

0.18×5000=900

The customer will save $900

Answer:

the third option

Step-by-step explanation:

by shifting it up 3, you just add 3 to -7 which is -4

by shrinking it a factor of 1/2, you multiply -2 by 1/2 which is -1

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

The real-world problem involving perimeter is that the perimeter of a rectangle of length 18 units and width 15 units is 66 units

From the question, we have the following parameters that can be used in our computation:

2 x 18 + 2 x 15 = 66

The perimeter of a rectangle can be calculated using

Perimeter = 2 x Length + 2 x Width

Using the above as a guide, we have the following:

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The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

50 + x + 50 + x = 260,    or

100 + 2x = 260,           or

50  + x  = 130,

Step-by-step explanation:

Given:

We have given that C and D are the numbers on the number line and

Where on the number line will c appear?

Answer:

We know that on the real number line, the negative numbers are located on the left side of 0, whereas positive numbers are located on the right side of 0.

Then for any numbers C and D on the number line with

Final Answer:

C will appear to the left of D.

Option D is correct.

Answer:

Perimeter of a rectangle

Step-by-step explanation:

You have to combine all of the sides which results in 2 lengths and 2 widths being combined (2l+2w)

Answer:

Exposure to nicotine is the independent variable

Step-by-step explanation:

An independent variable is a factor that remains unchanged (by other factors in the experiment) throughout the course of an experiment. It can however be manipulated by the researcher. A dependent variable, on the other hand, is the factor being measured that relies on the independent variable. In the case above, exposure to 1 hr of nicotine intake forms the independent variable while the levels of hand steadiness, which will be measured, form the dependent variable.

Answer:

A = 9π m²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

 = π × 3²

= 9π m²

Answer:

Step-by-step explanation:

L = 3W

Perimeter = 2L + 2W = 2(3W) + 2W = 8W

8W = 65.6 cm

W = 8.2 cm

Answer:

(2x - 9)(x + 6) .

Step-by-step explanation:

2x^2 + 3x - 54

Use the 'ac' method to do this.

First multiply the first number by the last:

2 * -54 = -108.

Now we want 2 numbers whose product is -108 and whose sum is + 3,

- these are +12 and -9, so we write:

2x^2 + 12x - 9x - 54        Now factor by grouping:

= 2x(x + 6) - 9(x + 6)        x +6 is common, so:

= (2x - 9)(x + 6) .

Answer:

t1= -11/17, t2=-5/7

Step-by-step explanation:

i think this is what you were looking for...

In linear equation, -1.15  is the value of 21 over 4 − 32 over 5.

What in mathematics is a linear equation?

An algebraic equation B. y=mx+b (where m is the slope and b is the y-intercept) containing simple constants and first-order (linear) components, such as the following, is called a linear equation. The above is sometimes called a "linear equation in two variables" where x and y are variables.

                                An equation with only one variable is called a univariate linear equation. It contains the expression Ax + B = 0. where A and B are any two real numbers and x is an ambiguous variable with only one possible value. 

(21/4) - (32/5)

=   21 * 5 - 32 * 4/ 20

=  105 -  128/20

= -1.15

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Answer:

Step-by-step explanation:

A type I error occurs when the null hypothesis is rejected in favor of the alternative hypothesis when the null hypothesis is actually true.

A type II error occurs when the researcher fails to reject the null hypothesis when the null is false.

H0: woman has cancer in the other breast

Ha: woman does not have cancer In the other breast

A) One possible error would be deciding that a woman who does have cancer in the other breast Is cancer-free. Is this a Type 1 or a Type II error?

This error is a type I error as the patient does have cancer which should warrant failing to reject the null but the null was rejected in favour of the alternative.

A Type II error would be coming to the conclusion that the woman does have cancer in the other breast when in fact she does not have cancer in the other breast.

This is a second type of error that can occur and it is a type II error: failing to reject the null when not true.

In the polynomial function, the number of roots of the graph is 3

Polynomial function:

In math, polynomial function refers a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Given,

Here we need to identify the number of roots of the graph.

If we have the graph like the following,

Then to identify the roots, we have to look at the graph start from negative infinity and end at positive infinity.

While we looking into the given graph, we have identified that, the degree of polynomial must be odd.

And in graph, we can see it cuts at three points

=> (-6,0)    (-2,0)    (-1,0)

This are the points on the graph has three x-intercept.

We know that, the number of x-intercept is equivalent to real roots of the polynomial.

Therefore, graph is cubic polynomial because it has three x-intercept.

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Answer:

n = 9

Step-by-step explanation:

Method 1(Algebra) :

3 + n = 12

3 - 3 + n = 12 - 3

n = 9

Method 2:

3 + n = 12

Move 3 to the other side of the equation.

n = 12 - 3

n = 9

Answer: 4

Step-by-step explanation: Daniels median is 16, and Sam’s median is 12. The difference eternal the two values is 4.

Answer:

(2, -1)

Step-by-step explanation:

\(\left(\frac{0+4}{2}, \frac{0-2}{2} \right)=(2, -1)\)

Answer:

16.25cm²

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Answer:

the y intercept is 5/3

the y intercept is 3/5

Option (a) is the correct answer. When two figures are similar, it means they have the same shape but different sizes.

How to solve the question?

In other words, their corresponding angles are congruent, and their corresponding side lengths are proportional.

Option (b) and (d) suggest that the corresponding side lengths of A and B are related by a constant factor (either 2 or 1/2). However, this is not necessarily true for all similar figures. The constant of proportionality can be any positive real number.

Option (c) suggests that the corresponding side lengths of A and B are equal, which means that A and B are not just similar but congruent. This is not necessarily true for all similar figures, as similar figures can differ in size.

Therefore, option (a) is the only answer that must always be true for similar figures. The corresponding side lengths of similar figures are proportional, which means that if one side of figure A is twice as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 2:1. Similarly, if one side of figure A is three times as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 3:1. This proportional relationship holds true for all pairs of corresponding sides in similar figures

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Option (a) is the correct answer.  The corresponding side lengths of A and B are proportional, must always be true if Figure A is similar to Figure B.

When two figures are similar, their corresponding angles are congruent, and their corresponding side lengths are proportional. This means that if we take any two corresponding sides of the figures, the ratio of their lengths will be the same for all pairs of corresponding sides.

Option b and d cannot be true, as they both suggest a specific ratio of corresponding side lengths, which is not necessarily true for all similar figures.

Option c is not necessarily true, as two similar figures can have corresponding side lengths that are not equal but still have the same ratio.

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The polynomial 8x³ + 27x² - 27x - 28 divided by x - 4 will give a quotient of 8x² + 59x + 209 and a remainder of 808 using the synthetic division and x - 4 is not a factor.

A binomial factor of a polynomial is a factor that consists of two terms, usually separated by a plus or minus sign. In general, if a polynomial has a binomial factor (x - a), then we know that when we set x equal to a, the polynomial will be equal to zero.

We shall divide the polynomial 8x³ + 27x² - 27x - 28 by x - 4 as follows;

8x³ divided by x equals 8x²

x - 4 multiplied by 8x² equals 8x³ - 32x²

subtract 8x³ - 32x² from 8x³ + 27x² - 27x - 28 will result to 59x² - 27x - 28

59x² divided by x equals 59x

x - 4 multiplied by 59x equals 59x² - 236x

subtract 59x² - 236x from 59x² - 27x - 28 will result to 209x - 28

209x divided by x equals 209

x - 4 multiplied by 209 equals 209x - 836

subtract 209x - 836 from 209x - 28 will result to a remainder of 808

Therefore, the polynomial 8x³ + 27x² - 27x - 28 divided by x - 4 will give a quotient of 8x² + 59x + 209 and a remainder of 808 using the synthetic division and x - 4 is not a factor.

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Answer: 6y + 36

Step-by-step explanation:

6(6+y)

= 6 * 6 + 6 * y

=36 + 6y

= 6y + 36