Find a simplified difference quotient for the function. f(x)=6x²

Answer:

The answer is D : 4.

Step-by-step explanation:

=2x-3>11-5x

=2x-3+5x>11

=7x-3>11

=7x>11+3

=7x>14

=7x/7>14/7

=x>2

By simplifying the problem, you can see that "x" must be greater than 2. Therefore, eliminating all other possible answers that are shown, but 4.

I answered the same questions with the same exact wording and explanation so please don't report any answers that are the same as this one, they are all mine and written by me.

Answer:

x = -15/2 ± (1/2)*5√5

Step-by-step explanation:

I will assume that you meant x^2+15x+25=0.

To complete the square, take half of the coefficient of x, square the result, add this square into the equation after '15x,' and then subtract the square from the result:

x^2+15x+25=0  =>  x^2 + 15x + (15/2)^2 - (15/2)^2 + 25 = 0.

Rewrite the first two terms as (x + 15/2)^2 - 225/4 + 100/4 = 0, or

                                                  (x + 15/2)^2 - 125/4 = 0

Taking the square root of both sides, we obtain the solutions:

                                                    x + 15/2 ±√[125/4], or

                                                    x = -15/2 ± (1/2)*5√5

The quadratic equation x²+15x+25=0,  (15/2)² is a number to be added to "complete the square"

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The quadratic equation x²+15x+25=0

x²+15x+(15/2)²+25-(15/2)²=0

(x+15/2)²+25-225/4

(x+15/2)²+(100-225)/4

(x+15/2)²+(-125/4)

(x+15/2)²-(√125/√4)²

(x+15/2+√125/√4)(x+15/2-√125/√4)

(x+15/2+√125/2)(x-15/2-√125/2)

(x+(15+√125)/2)(x-(15+√125)/2)

Hence (15/2)² is a number to be added to "complete the square"

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The final conclusion is that there is sufficient evidence to warrant the rejection of the claim that the population mean is not equal to 65.2.

What is the mean and standard deviation?

The mean and standard deviation are commonly used in various statistical analyses, such as hypothesis testing, probability distributions, and the characterization of data distributions. They provide valuable insights into the central tendency and variability of a dataset, allowing for comparisons and further statistical calculations.

To find the critical value for this test, we need to determine the z-score corresponding to the significance level of α = 0.05. Since this is a two-tailed test, we divide the significance level by 2 to get α/2 = 0.025 for each tail.

Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to α/2 = 0.025 is approximately 1.96.

The critical value for this test is ±1.96.

the formula to calculate the test statistic,

test statistic = (sample mean - population mean) / (standard deviation / √(sample size))

Plugging in the given values:

test statistic = (62 - 65.2) / (6.9 / √(42))

≈ -1.742

The test statistic is approximately -1.742.

Since the test statistic falls outside the critical region (which is defined by the critical values ±1.96), we fail to reject the null hypothesis.

The test statistic is not in the critical region.

Therefore, the final conclusion is that there is sufficient evidence to warrant the rejection of the claim that the population mean is not equal to 65.2.

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Answer:

divide 11 by 1. the answer would be 0.0909

Step-by-step explanation:

if you have a graphing calculator then you have the option to put it in as a fraction and then you would put it into a decimal. and if not then you could do it on paper.

A 4 polygon is a two-dimensional shape with four sides and four angles.

Polygon is a closed figure in a plane made up of straight lines or curved lines that intersect in pairs. A polygon has at least three sides and angles. The sides can be of any length and the angles can be of any measure. Polygons are classified according to the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), etc. Polygons are used in many fields, from mathematics to engineering.

It is a type of quadrilateral, which is a polygon with four sides. Examples of 4 polygons include squares, rectangles, rhombuses, and trapezoids. All 4 polygons have four sides of equal length, and all their interior angles add up to 360 degrees.

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Answer:

it's 4

Step-by-step explanation:

Hope it helped brainiest plz

it's 4 because 4x25=100

Answer:

1

Step-by-step explanation:

An expression contains variables which can be represented by using the alphabets like a, b, c, m, x, y, z, etc. We can form different expressions using various numbers and variables. The expression equivalent to x+(-3)+(-2) - 2 is x-7 = 0. The correct option is B.

An expression or also called the algebraic expression is defined as the mathematical statement which contains numbers, variables and an arithmetic operation between them.

In order to factorize or simplify the expression, we should know how to combine the like terms, factor a number, order of operations. The given equation can be simplified as:

x + (-5) -2 = 0

x - 7 = 0

Thus the correct option is B.

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Your question is incomplete most probably your full question was;

Which expression is equivalent to x+(-3)+(-2) - 2

A. x-3 = 0

B. x - 7 = 0

C. x - 4 = 0

D. x- 3 = 0

Answer:

the slope of the line is

Answer:

1/4

Step-by-step explanation:

From 1 to 3 is two that is the ride of the slope and the run is from 1 to 9 witch is 8 and that means 2/8 but you can minimize the fraction to 1/4

Answer:

the answer is (0,1)

hope this will help you ❤️

Answer:

7x=11

Step-by-step explanation:

do it

Answer:

Cylinder

Step-by-step explanation:

The radius of the cone, when the volume is 36 units^3 and the height is 12 units, is approximately 1.6939 units.

To find the radius of a right circular cone when the volume and height are given, we can use the formula for the volume of a cone and solve for the radius. Let's proceed with the calculation.

The formula for the volume of a cone is:

V = (1/3) * π * r^2 * h

Where:

V is the volume of the cone,

π is the mathematical constant pi (approximately 3.14159),

r is the radius of the cone, and

h is the height of the cone.

In this case, we are given that the volume of the cone is 36 units^3 and the height is 12 units. We can substitute these values into the formula and solve for the radius.

36 = (1/3) * π * r^2 * 12

To isolate the radius, we can divide both sides of the equation by (1/3) * π * 12:

36 / [(1/3) * π * 12] = r^2

Simplifying the right side:

36 / (4π) = r^2

Taking the square root of both sides:

√(36 / (4π)) = r

Simplifying further:

√(9 / π) = r

Therefore, the radius of the cone is √(9 / π) units.

To obtain an approximate value for the radius, we can substitute the value of π (approximately 3.14159) into the equation:

r ≈ √(9 / 3.14159)

Calculating this expression gives us the approximate value of the radius.

r ≈ √(2.8654) ≈ 1.6939

Hence, the radius of the cone, when the volume is 36 units^3 and the height is 12 units, is approximately 1.6939 units.

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Answer:

8

Step-by-step explanation:

See attached image.

It should be 45, 30, 70, 30

Answer:

It's -3 :)

Step-by-step explanation:

g(x) = 1 and f(x) = -3 and to find k you need to do f(x)/g(x). Therefore, -3/1 = -3. Hope this helped!

The scale factor of the dilation of the triangles is 2

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

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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(a) The relationship among the lengths of the segments formed by the secant and the tangent segment can be described using the Intercept Theorem. According to this theorem, when a secant and a tangent are drawn from an external point to a circle, the square of the length of the tangent segment is equal to the product of the lengths of the entire secant segment and its external part.

Mathematically, this can be represented as:
t^2 = s * e

Where:
t = length of the tangent segment
s = length of the entire secant segment
e = length of the external part of the secant segment

(b) In order to find the length of the segment PQ, it is necessary to have the lengths of the tangent segment PT and the entire secant segment PS. Without this information, it is not possible to calculate the length of PQ. Therefore, if the lengths of PT and PS are not given, it is not possible to find the length of PQ.

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Answer:

ok

Step-by-step explanation:

See the attached picture

Answer:

45

Step-by-step explanation:

(i just highlighting the answer from the other person's paper)

Answer:

3/5

Step-by-step explanation:

72/2 =36

120/2 =60

=36/60

36/2 = 18

60/2 = 30

=18/30

18/2=9

30/2 =15

= 9/15

9/3=3

15/3 =5

= 3/5

Political sessions were attended by 707 representatives from all of South America.

Ratios: A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girl.

It has been reported that 8,475 persons attended a political event in South America.

The 12 nations and 3 territories of South America were equally

represented.

The proportion of attendees from each nation to the total number of

countries indicates the number of representatives who attended.

How many representatives there are is =

total number of attendees / total number of participating nations

8,475 / 12 = the number of representatives

There are 706.25 x 707 representations.

Consequently, 707 delegates from each nation attended political conferences.

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Answer:

1) \(49 {a}^{2} - 16 {b}^{2} \)

2) \(251502\)

Step-by-step explanation:

a) Question :-\((7a - 4b)(7a + 4b)\)

Identity used here :-\((a + b)(a - b) = {a}^{2} - {b}^{2} \)

So,

\((7a + 4b)(7a - 4b)\)

\(=> {(7a)}^{2} - {(4b)}^{2} \)

\(=> 49 {a}^{2} - 16 {b}^{2} \)

b) Question :- \(501 \times 502\)

Identity used here :-\((x + a)(x + b) = {x}^{2} + (a + b)x + ab\)

So,

\(501 \times 502 = (500 + 1)(500 + 2)\)

\( = > {(500)}^{2} + (1 + 2)500 + 1 \times 2\)

\( = > 250000 + 1500 + 2\)

\( = > 251502\)

Answer:

No decimal: 905

One decimal: 905.3

Applying angle relationships, the measure of angle 7 is: 95°

The measure of an angle can be determined based on the angle relationships that is being formed by the angles. For example, angles that are vertical angles will be congruent to each other while same-side exterior angles have an angle relationship that is supplementary.

Given:

Measure of angle 1 = (3x + 10)°

Measure of angle 4 = (4x - 15)°

Therefore, based on angle relationships:

m∠1 = m∠4 [vertical angles]

Substitute

3x + 10 = 4x - 15

Combine like terms

3x - 4x = -10 - 15

-x = -25

x = 25

m∠1 + m∠7 = 180 [same-side exterior angles]

Substitute

3x + 10 + m∠7 = 180

Plug in the value of x

3(25) + 10 + m∠7 = 180

75 + 10 + m∠7 = 180

85 + m∠7 = 180

m∠7 = 180 - 85

m∠7 = 95°

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The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles

The conditional statement is given as:

If two angles are congruent, then they are vertical angles.

The above statement is false because not all congruent angles are vertical angles

A counterexample of this statement is a corresponding angle

i.e. corresponding angles are congruent angles, but they are not vertical angles

Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle

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Answer:

Multiply the radius by 2 to get the diameter.

Step-by-step explanation:

So basically multiply (18 ft) x 2= 36 ft

Answer:

Diameter = 36 ft

Step-by-step explanation:

Since Diameter = 2r

Note : Diameter is twice of radius

\(d=2r=2*18=36ft\)

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Joe can afford a car loan of approximately $12,944.

To determine the loan amount Joe can afford, we need to calculate the present value of the continuous monthly payments he can make. Joe can pay $360 per month for 4 years, which amounts to a total of 4 * 12 = 48 payments.

The formula to calculate the present value of continuous payments is given by:

PV = (PMT / r) * (1 - e^(-rt))

Where:

PV is the present value of the continuous payments,

PMT is the monthly payment amount,

r is the annual interest rate, and

t is the loan term in years.

Substituting the given values, we have:

PMT = $360,

r = 0.125 (12.5% expressed as a decimal),

t = 4.

Plugging in these values, we can calculate the present value:

PV = (360 / 0.125) * (1 - e^(-0.125 * 4))

Using a calculator or spreadsheet, we find that the present value is approximately $12,944. Therefore, Joe can afford a car loan of approximately $12,944 and still make monthly payments of $360 for 4 years.

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Knowing the correlations between variables allows us to make predictions using regression because it helps us understand how the variables are related to each other.

In this specific case, we have two variables: DMS (dependent variable) and SRD (independent variable). By examining the correlations between DMS and SRD, we can determine the strength and direction of their relationship.

If there is a strong positive correlation between DMS and SRD, it means that as SRD increases, DMS tends to increase as well. On the other hand, if there is a strong negative correlation, it means that as SRD increases, DMS tends to decrease.

Using regression analysis, we can build a mathematical model that represents the relationship between DMS and SRD based on the observed correlations. This model allows us to estimate or predict the value of DMS for a given value of SRD.

Therefore, knowing the correlations between DMS and SRD enables us to use regression analysis to make predictions about DMS based on the values of SRD.

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