What is the average rate of change for this quadratic function for the interval from x=3 to x=4

[tex]y = a(x)^(2) + bx + c [/tex]

a)

Subtract 0.4 from both side.

-9x +0.4 = 4

-9x + 0.4 - 0.4 = 4 - 0.4

-9x = 3.6

b)

divide by -9 both side

-9x/-9 = 3.6/-9

x = -0.4

c) x = - 0.4

The steps needed to solve the given equation is required.

Adding the opposite value of the constant to both sides.

Divide both sides by the coefficient of the variable.

The solution to the equation is [tex]x=-0.4[/tex]

The given equation is

[tex]-9x+0.4=4[/tex]

In order to solve this we first move constants to the side opposite of the variable.

This is done by adding the opposite value of the constant to both sides.

[tex]-9x+0.4-0.4=4-0.4[/tex]

Here [tex]0.4[/tex] is the constant so we add [tex]-0.4[/tex] to both sides.

[tex]\Rightarrow -9x=3.6[/tex]

Now, we divide both sides by the coefficient of the variable.

[tex]\Rightarrow \dfrac{-9x}{-9}=\dfrac{3.6}{-9}\\\Rightarrow x=-0.4[/tex]

The solution to the equation is [tex]x=-0.4[/tex]

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Answer:

The correct answer would be B.

Step-by-step explanation:

Answer:

I'd say the answer is B. P ∧ Q

The answer would be C

The phrase that describes the expression is 3 subtracted from the product of 7 and a number b

Given the expression 7b -3, we are to interpret the expression as a statement.

Hence the phrase that describes the expression is 3 subtracted from the product of 7 and a number b

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Answer: $48

Step-by-step explanation: The amount of money Joe made can be divided by 9. 54/9 = 6. Joe made 9 dollars six times so Leila made 8 dollars 6 times. 6 x 8 = 48.

Answer:

$3.79 for an 8 foot board

Step-by-step explanation:

The way to find the answer is calculating the price per foot.

Part 1

$3.79 for an 8 foot board.

one foot would cost:

$3.79 ÷ 8  =  0.47375

Part 2

$6.18 for a 12 foot board?

Price of one foot would be:

$6.18 ÷ 12 = 0.515

$0.47375 is less than $0.515. So, the cheaper treated lumber is the one costing $3.79 for an 8 foot board.

Answer:

6x + 8

Step-by-step explanation:

The perimeter of the rectangle

P = 2(L + W)

Plug in

= 2(2x + 3 + x + 1)

= 2(3x + 4)

Distributive property

= 6x + 8

Answer:

The perimeter of the rectangle = 6x + 8

Answer:

150

Step-by-step explanation:

4, 5 and 6 are all numbers greater than 3.

The chances of rolling a 4 is 1/6, that of a 5 is 1/6, and that of a 6 is 1/6.

The chances of rolling a number greater than 3 is thus 3/6, or 1/2.

This is theoretical probability; you haven't actually observed this happening.

We can now multiply (300 rolls) by this probability 1/2, obtaining 150.

We predict that in 300 rolls, 150 numbers greater than 3 would be rolled.

Answer:

12 inches.

Step-by-step explanation:

The quadrilateral  will be rectangle and the diagonals will be parallel and equal to the sides of the rhombus.

If the midpoints of the rhombus with sides of 12 inches are joined to form a quadrilateral. The quadrilateral formed would be a square with diagonal of 12 inches.

A rhombus is a quadrilateral (has four sides and four angles) in which the opposite sides are equal and parallel. All the sides of a rhombus are equal.

If the midpoints of the rhombus with sides of 12 inches are joined to form a quadrilateral. The quadrilateral formed would be a square with diagonal of 12 inches.

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Final answer:

To create a polynomial with zeros at -1, 2, and 7, each with a multiplicity of 1, you start with the factored form (x + 1)(x - 2)(x - 7) and expand it to get the standard form x^3 - 8x^2 + 15x + 14.

Explanation:

The question involves finding a polynomial function with given zeros. When a polynomial has zeros of -1, 2, and 7, all with a multiplicity of 1, the function can be expressed as product of linear factors associated with each zero. Starting from the factored form f(x) = (x - (-1))(x - 2)(x - 7), which encapsulates the given zeros, you can then expand this expression to get the polynomial in its standard form.

The expanded form of the polynomial is then f(x) = (x + 1)(x - 2)(x - 7), which, when expanded, yields f(x) = x^3 - 8x^2 + 15x + 14. This is a polynomial function in standard form that has the required zeros, each with a multiplicity of 1.

Step-by-step explanation:

Answer:192/19

Step-by-step explanation:

10/1 +2/19=190/19+2/19=192/19

Answer: 192/19

Step-by-step explanation:

Answer:

The volume would be 942

Cheers pal

Step-by-step explanation:

Answer: 942cm^3

Step-by-step explanation:

your answer is 3,697

it is 3,697. just take the first digit in each number, put it in the proper place by combining them

-32-4y=90

-4y=122

Y=-30.5

The solution is y =30.5

-4 (8+y) = 90

-32 - 4y = 90

Adding 32 on both sides

-32 - 4y +32 = 90 + 32

-4y = 122

or y = 30.5

Answer:

52

Step-by-step explanation:

Answer:

The answer is,52

Step-by-step explanation:

The area of a 2D form is the amount of space within its perimeter. It's measured in square units like [tex]cm^{2}[/tex],[tex]m^{2}[/tex] , and so on. You must multiply the length by the width to find the area of a square formula or other quadrilateral.

According, to the question:

[tex]Area=l[/tex]×[tex]b[/tex]

area=13×4

area= 52

Hence, The scrapping area is 52 square feet.

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Answer:

The correct answer is option c) y = 6

Step-by-step explanation:

It is given that|10-5y| =20

Check each option

a) y = 2

|10 - 5y| = |10 - 5 * 2| = | 10 - 10 | = 0 ≠ 20

b) y = 4

|10 - 5y| = |10 - 5 * 4| = | 10 - 20 | = |-10| = 10 ≠ 20

c) y = 6

|10 - 5y| = |10 - 5 * 6| = | 10 - 30 | = |-20| = 20

d) y = 10

|10 - 5y| = |10 - 5 * 10| = | 10 - 50 | = |-40|  ≠ 20

From the above result we get the correct answer is option c) y = 6

Answer:

The correct answer option is a) y =2.

Step-by-step explanation:

We are given the following equation and we are to find its solution:

[tex] | 1 0 - 5 y | = 2 0 [/tex]

Since the expression [tex]10-5y[/tex] is enclosed in a modulus, it means that its value cannot be negative, it has to be positive always.

[tex] 1 0 - 5 y = 2 0 [/tex]

[tex] -5 y = 2 0 - 1 0 [/tex]

[tex] -5 y = 1 0 [/tex]

Ignoring the negative sign because of mod.

[tex]y=\frac{10}{5}[/tex]

y = 2

340 divided by 0.3 = 1133.3

hope this helps xx

The given points have the same Y value.

Find the distance between the X values -3 to 1 is 4 units.

All sides of a square are the same length so the other points must be 4 units away.

Add 4 units to the Y values:

(-3,2) = (-3,(2+4)) = (-3,6)

(1,2) = (1,(2+4)) = (1,6)

Two other points to make a square could be (-3,6) and (1,6)

Answer:

The first one is true. 5b+15=14

Step-by-step explanation:

(b+3)/7=  2/5

After cross-multiplication:

5(b+3)=2*7

5b+15=14

Answer:

50%

Step-by-step explanation:

due to the fact that its true/false questions, so that means when you answer you have 2 choices. a 50/50 chance of getting them right or wrong

Answer:

The distance the player throws the ball is [tex]112.5\ ft[/tex]

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABX

[tex]AB=90\ ft[/tex]

[tex]BX=(3/4)90=67.5\ ft[/tex]

XA --------> is the distance the player throws the ball (hypotenuse of the right triangle)

Applying the Pythagoras Theorem

[tex]XA^{2}=AB^{2}+BX^{2}[/tex]

substitute the values

[tex]XA^{2}=90^{2}+67.5^{2}[/tex]

[tex]XA^{2}=12,656.25[/tex]

[tex]XA=112.5\ ft[/tex]

The distance player throws the call was calculated using Pythagoras theorem and it is 112.5 feet.

It is given that

Side of the square = 90 feet

Distance of point x from the second base = 3/4 * 90 = 67.5

The distance the player throws the call let us say D will be the shortest distance between x and 1st base.

Distance D can be calculated by Pythagoras theorem

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the perpendicular and the base.

[tex]D = \sqrt{90^{2} +67.5^{2} }[/tex]

[tex]D = \sqrt{8100+4556.25} \\\\D = \sqrt{12656.25\\}\\[/tex]

[tex]D=\sqrt{12656.25} = 112.5[/tex]

Therefore, the distance the player throws the call is 112.5 feet.

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Answer:

Step-by-step explanation:

Payment Shock is when there is a risk that future periodic payments of a loan increases and thus may put the borrower at risk of defaulting on the loan.

It can occur for many reasons, such as:

People are usually attracted to these mortgages because low initial monthly payments. But sometimes, these backfire on them because of reasons stated above and put them at risk when monthly payments rise above being comfortable.

Answer:

B. 7x - 4

Step-by-step explanation:

A product of 7 and X means they will be multiplied. You can't subtract 4 until you know the product of 7 and X so that's why you subtract it after.

Answer:

The bottom right, middle top, and bottom left are NOT cubes.

Step-by-step explanation:

Cubes are defined as a three dimensional object with the same length, width, and height. Since the square on the bottom left is two dimensional, It is not a cube. Since the hexagon on the bottom right is two dimensional, It can't be a cube. The Middle top shape doesn't have the same length height as it's width is, so it is not a cube. The rest are cubes.

Answer: Circle 1st, 2nd, 4th, and 6th

Step-by-step explanation:

A cube is 4 perfect squares in a 3-D shape. Only shape 3 and 5 show this.

Answer:

18 stickers.

Step-by-step explanation:

Cindy buys 18 more stickers in the start. This results in 13+18= 31 stickers. She then gets five for her birthday. 31+5=36 so she now has 36 stickers but she then gives eight away which means she has 36-8=28 stickers. She uses ten stickers to decorate so Cindy has 28-10=18 stickers left

Answer:

si esta bien

Step-by-step explanation:

Answer:

1) true

2)False

3) False

4)true

Step-by-step explanation:

1) I doubled 50 to make a hundred girls = 100% and theni had to double 18 to get 36= 36%

2) because it is 8.4%

3) Because the total number of girls is the highest for 1 fruit

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (a, b) and (a + 3, b + 3). Substitute:

[tex]m=\dfrac{b+3-b}{a+3-a}=\dfrac{3}{3}=1[/tex]

[tex]y-b=1(x-a)[/tex] - point-slope form

Convert to the slope-intercept form: y = mx + b:

[tex]y-b=x-a[/tex]        add b to both sides

[tex]y=x+b-a[/tex] - slope-intercept form

Answer:

Step-by-step explanation:

answer for edmentum

Answer:

C

Step-by-step explanation:

5.95(x)=71.40

7140/595=12

5.95(12)=71.40

The correct equation to find the number of sandwiches sold, X, is C: 5.95X = 71.40, which shows a direct correlation between the price per sandwich and the total income.

The question asks which equation can be used to determine the number of sandwiches, X, sold by the sandwich shop one afternoon given that each sandwich is sold for $5.95 and the total revenue is $71.40. The correct choice is C: 5.95X = 71.40. This is because to find the number of sandwiches sold (X), we need an equation that relates the price per sandwich to the total income from selling X number of sandwiches. Here, each sandwich is $5.95, and when you multiply that by the number of sandwiches sold, you should get the total sales of $71.40. Therefore, the equation is 5.95X = 71.40, where you can solve for X to find the total number of sandwiches sold.

Hence , Formula for permutation and combination is

[tex]P(n,r)=\frac{n!}{n-r!}[/tex]

No of ways in which  we can obtain possible no. of ways in which particular arrangement can be made.

The way in which we can select item as per given situation

[tex]P(n,r)=\frac{n!}{n-r!}[/tex]

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The formula for [tex]P(n,r)[/tex], which represents the number of permutations of r objects from a set of n distinct objects, is given by: [tex]\[ P(n,r) = \frac{n!}{(n-r)!} \][/tex]

To understand this formula, let's break it down:

1. [tex]\( n! \)[/tex] gives the number of ways to arrange n distinct objects in a sequence.

2. [tex]\( (n-r)! \)[/tex] gives the number of ways to arrange the remaining [tex]\( n-r \)[/tex] objects that are not chosen for the permutation.

3. Dividing [tex]\( n! \)[/tex] by [tex]\( (n-r)! \)[/tex] effectively cancels out the arrangements of the [tex]\( n-r \)[/tex] objects that we are not interested in, leaving us with the number of ways to arrange just the r objects.