Consider the function f(x) = –x^2 + 5x - 3 on the closed interval [ – 1,1). Find the exact value of the slope of the secant line connecting ( - 1, f(-1)) and (1, f(1)). m = ?

Answer: 10

Step-by-step answer:

Answer:

10

Step-by-step explanation:

I don't actually know how to find it, but that was the right answer on edge

Answer:

31

Step-by-step explanation:

58 - 27 = 31

Answer:I don't know

Step-by-step explanation:do the work

Answer:

3/4

Step-by-step explanation:

If you divide both the numerator and the denominator by 3 you'll get 3 over 4.

Answer:The steps in solving the quadratic function 7x – 9 = 7x^2 – 49x by completing the square are as follows:

Add and subtract (49/2)^2 = (36) to the right-hand side of the equation to complete the square. This gives us:

7x - 9 = 7x^2 - 49x + 36

Factor out the coefficient of the x^2 term, which is 7, on the right-hand side of the equation. This gives us:

7x - 9 = 7(x^2 - 7x + 6)

Take the square root of the number inside the parenthesis and add and subtract it, to get:

7x - 9 = 7(x - 3.5)^2 - 2.25

Now we can add 9 to both sides of the equation to get:

7x = 7(x - 3.5)^2 + 0.75

Now we can divide both sides by 7 to get:

x = (x - 3.5)^2 + 0.75/7

Now we can solve the equation by taking the square root of both sides and adding and subtracting 3.5 to get:

x = 3.5 ± √(x^2 - 7x + 6)

Now we have our solutions, x = 3.5 + √(x^2 - 7x + 6) and x = 3.5 - √(x^2 - 7x + 6) which are the solutions of the quadratic equation.

Step-by-step explanation:

Answer:

56, 112, 16

Step-by-step explanation:

I just know

The probability of getting at least 1 paperback when a person takes 3 books at random out of 15 books will be 0.736.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur.

Here,

Total selection=15C3

selection of none being paperback=10C3

Required probability=(15C3-10C3)/15C3

=(455-120)/455

required probability=0.736

When three books are chosen at random from a group of fifteen, there is a 0.736 percent chance that at least one paperback will be obtained.

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Answer:

<AEB = 51.2

Step-by-step explanation:

Remark

A straight line has a degree value of 180. There are 3 angles. One of them is 90. The other two must add to 90

Equation

2.7x + 8 + 3.8x - 22 = 90      combine like terms on the left.

6.5x - 14 = 90                        add 14 to both sides

6.5x = 90 + 14

6.5x = 104                              Divide by 6.5

x = 104/6.5

x = 16

<AEB = 2.7*16 + 8

<AEB = 51.2

No, the sample in this case is not random.

The sample in this case is not random. Random sampling involves selecting individuals from a population in such a way that each individual has an equal chance of being selected. In the given scenario, the sample consists only of students who buy hot lunch on a particular day.

This sampling method is not random because it introduces a bias by including only a specific subgroup of students who have chosen to buy hot lunch. It does not provide an equal opportunity for all students in the population to be selected for the survey.

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Answer:

  (a)   −1 1/5 = −2/3x+(−3)

Step-by-step explanation:

Your English expression starts off with "-1 1/5 is ..." so you are looking for an equation that starts off with "-1 1/5 = ...". This eliminates choices B and C.

The factor -2/3 multiplies the value of the number, ("-2/3 times a number"), so you are looking for the equation to have a term -2/3x. This eliminates choice D.

The only choice left (and the correct choice) is choice A.

Answer:

-1 1/5 = -2/3x + (-3)

Step-by-step explanation:

Answer:

12 centimeters

Step-by-step explanation:

The side lengths of the triangle are: 26, 28, and 30 centimeters

a = 26 cm, b = 28 cm, c = 30 cm

To find the area, we first must find the semi-perimeter with the following equation:

s = (a+b+c)/2

  = (28+26+30)/2

  = 42 centimeters

Now, to find the area, we can use Heron's formula:

A = \(\sqrt{s (s-a)(s-b)(s-c)}\)

     \(\sqrt{42(42-28)(42-26)(42-30)\)

     \(\sqrt{42(14)(16)(12)}\)

     \(\sqrt{112896}\)

     336 squared centimeters

Since the area of the parallelogram is equal to the area of our triangle:

Area of Parallelogram = Area of Triangle

base ⋅ height = 336 squared centimeters

28 ⋅ height = 336 squared centimeters

height = 336/28

height = 12 centimeters

The probability that a valve was ground twice can be calculated using Bayes' theorem. Let G1 be the event that a valve is reground once and G2 be the event that a valve is reground twice. Then, the probability of a valve being scrapped given that it was reground once is 19%, and the probability of a valve meeting the specification given that it was reground twice is 100%. Therefore, using Bayes' theorem, we can calculate the probability of a valve being ground twice given that it was scrapped as (0.14 x 0.19) / ((0.14 x 0.19) + (0.24 x 0.81)) = 0.029. Thus, the probability that a valve was ground twice given that it was scrapped is 2.9%.

Bayes' theorem is a mathematical formula used to calculate conditional probabilities. It states that the probability of an event A given an event B is equal to the probability of event B given event A, multiplied by the probability of event A, divided by the probability of event B. In this problem, we want to calculate the probability of a valve being ground twice given that it was scrapped.
To apply Bayes' theorem, we first need to identify the relevant probabilities. We are given that after the first grind, 62% of the valves meet the specification, 24% are reground once, and 14% are scrapped. We are also given that of those valves that are reground, 81% meet the specification, and 19% are scrapped.
Let G1 be the event that a valve is reground once and G2 be the event that a valve is reground twice. Then, the probability of a valve being scrapped given that it was reground once is 19%. The probability of a valve meeting the specification given that it was reground twice is 100%, since all valves that are reground twice are guaranteed to meet the specification.
Using Bayes' theorem, we can calculate the probability of a valve being ground twice given that it was scrapped as follows:
P(G2|scrapped) = P(scrapped|G2) x P(G2) / P(scrapped)
where P(scrapped|G2) is the probability of a valve being scrapped given that it was reground twice, P(G2) is the probability of a valve being reground twice, and P(scrapped) is the probability of a valve being scrapped.
We already know that P(scrapped|G1) = 0.19, P(scrapped|G2) = 0, P(G1) = 0.24, P(G2) = (1 - 0.62 - 0.24 - 0.14) x P(G1) = 0.027, and P(scrapped) = 0.14.
Plugging in the values, we get:
P(G2|scrapped) = (0 x 0.027) / ((0.14 x 0.19) + (0.24 x 0.81)) = 0.029
Thus, the probability that a valve was ground twice given that it was scrapped is 2.9%.

In summary, we can use Bayes' theorem to calculate the probability of a valve being ground twice given that it was scrapped. We first identify the relevant probabilities, such as the probability of a valve being scrapped given that it was reground once or twice. We then apply Bayes' theorem to obtain the desired probability. In this case, the probability that a valve was ground twice given that it was scrapped is 2.9%.

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Answer:

y= 25/3 - x/3

Step-by-step explanation:

y= 25/3 - x/3

17.4

divide diameter

then use formula to find area of circle using the radius

Answer:

D

Step-by-step explanation:

Angle 5 is equal to angle 8 because the two angles are an alternate interior angle. We already know that angle 7 and 8 are supplementary because it's adjacent to each other on a straight line. So, since angle 5 and 8 is equal to each other, angle 5 is also supplementary to angle 7.

Answer:

the answer is one and only 28

Answer:

2x+2-2y

Im confused are those supposed to be ^2 powers? If so then the answer would be

x^2+6x+5-y^2-4y

Step-by-step explanation:

I REALLY HOPE THIS HELPS PLS CONSIDER GIVING BRAINLIEST I REALLY NEED IT AND WOULD APPRECIATE IT!

Answer:

Answer is (C) .....

Subtract 3 from both sides of the equation, and then divide both sides by 2.

Answer:

5/8

Explanation:

6 = 5x  - 2

8 = 5x

5/8 = x

The unknown number two less than five times a number is equal to 6 will be 5 / 8.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that two less than five times a number is equal to 6 is the number. The unknown number will be calculated as below:-

Let the number be x now form an expression.

6 = 5x  - 2

8 = 5x

5/8 = x

Therefore, the unknown number two less than five times a number is equal to 6 will be 5 / 8.

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Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

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Let's see

On solving

So

length

Width

A rectangle has a length of (2x+1) units, a width of (x-7) units and an Area of 17 square units. Find the dimensions of the rectangle.

In this question we are provided with the length of a rectangle (2x + 1) units and the width of the rectangle (x - 7). It is also given that the area is 17 units². We are asked to calculate the length and width of the rectangle.

First we will find the value of x

We know,

\( \bull \: \small\boxed{ \rm{ Area_{(rectangle)} = Length × Width}}\)

Substituting the values we get

\( \small\sf{ (2x + 1 ) (x - 7) = 17}\)

\( \small\rm{ 2x( x - 7) + 1(x - 7) = 17}\)

\( \small\rm{ 2 {x}^{2} - 14x + 1(x - 7) = 17}\)

\( \small\rm{ 2 {x}^{2} - 13x - 7 = 17}\)

\( \small\rm{2 {x}^{2} - 13x - 7 - 17 = 0 } \)

\( \small\rm{2 {x}^{2} - 13x - 24 = 0} \)

\( \small\rm{x = \dfrac{13 + 19}{2 \times 2} } \)

\( \small\rm{ x = \dfrac{32}{4} = 8}\)

\( \small\sf{x = 8} \)

Now we will substitute the value of x

Length = (2x + 1) = 2 × 8 + 1 = 16 + 1 = 17 units

Width = (x - 7) = 8 - 7 = 1 units

Therefore, The area between y=2x and y=2√x is approximately 0.3333 (rounded to four decimal places).

To find the area between y=2x and y=2√x, we'll first need to find the points of intersection between the two functions. Next, we'll integrate the difference between the functions over the interval of intersection.
Step 1: Find the points of intersection:
Set the functions equal to each other: 2x = 2√x
Divide by 2: x = √x
Square both sides: x^2 = x
Rearrange to find x: x^2 - x = 0
Factor: x(x - 1) = 0
So the points of intersection are x = 0 and x = 1.
Step 2: Integrate the difference between the functions:
Integral(2√x - 2x)dx from 0 to 1
Step 3: Calculate the area:
Area = ∫[2√x - 2x]dx from 0 to 1
= [4/3 * x^(3/2) - x^2] evaluated from 0 to 1
= (4/3 * 1^(3/2) - 1^2) - (4/3 * 0^(3/2) - 0^2)
= (4/3 - 1) - 0
= 1/3

Therefore, The area between y=2x and y=2√x is approximately 0.3333 (rounded to four decimal places).

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The system of equations that can be used to determine the amount of rice and beans to consume in order to meet the desired calorie and protein intake is ii. 220r + 16b = 18.25.

To solve this problem, we need to consider the given information about the calories and protein content of rice and beans. Let's analyze the equations provided:

i. 216r + 5b = 435

In this equation, 216 represents the number of calories in one cup of rice, 'r' represents the number of cups of rice consumed, 5 represents the number of grams of protein in one cup of beans, and 'b' represents the number of cups of beans consumed. The equation equates the total calories from rice and beans (216r + 5b) to the desired calorie intake of 435. However, this equation does not account for the protein content.

ii. 220r + 16b = 18.25

In this equation, 220 represents the number of calories in one cup of beans, 'r' represents the number of cups of rice consumed, 16 represents the number of grams of protein in one cup of beans, and 'b' represents the number of cups of beans consumed. The equation equates the total calories from rice and beans (220r + 16b) to the desired calorie intake of 18.25. This equation also considers the protein content.

Therefore, the system of equations that can be used to determine the amount of rice and beans to consume in order to meet the desired calorie and protein intake is ii. 220r + 16b = 18.25.

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Answer:

if you're trying to make it with one of each kind in each booklet the answer is 24

Answer:

a. shen's car

8 gallons

b. 400 miles

shen's car

Answer:

7

Step-by-step explanation:

index of root = 2

exponent = 2

divide both by 2

2:2 = 1 (the root expires)

2:2 = 1 (the exponent expires)

7

Answer:

x less than or equal to -20

Step-by-step explanation:

x/5less than or equal to -6

X/5 less than or equal to -6+2

X/5 less than or equal to -4

Xless than or equal to -4/1/5 reciprocal -4×5/1

xless than or equal to-20 is the answer

51% of the sodas served at Emilia's Diner last night were regular.

A percentage is a relative value that represents one hundredth of a whole. One percent (symbolised 1%) is one hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given amount.

To calculate the percentage of regular sodas, divide the total number of sodas by the number of regular sodas and multiply the result by 100.

As a result, the percentage of regular sodas is:

(51/100) x 100% = 51%

As a result, 51% of the sodas served last night at Emilia's Diner were regular.

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Answer:

3\(\sqrt{13}\)

Step-by-step explanation:

Calculate the distance using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)

d = \(\sqrt{(-3-(-9))^2+(-1-8)^2}\)

  = \(\sqrt{(-3+9)^2+(-9)^2}\)

  = \(\sqrt{6^2+81}\)

   = \(\sqrt{36+81}\)

   = \(\sqrt{117}\)

   = \(\sqrt{9(13)}\)

   = \(\sqrt{9}\) × \(\sqrt{13}\)

   = 3\(\sqrt{13}\)

Answer:

n  n n n n n n n n  

Step-by-step explanation:

b b b  b b b b b b b  b b b b b b b

Answer:

(2n+9)/( n+5)

Step-by-step explanation:

f(x)=(2x+3)/(x+2)

Let x = n+3

f(n+3)=(2*(n+3)+3)/(n+3+2)

        = (2n+6+3)/(n+5)

        = (2n+9)/( n+5)