Work out the following sheet

Answer:

over 18

Step-by-step explanation:

Answer:

increased the maximum score from 1600 to 2400: 800 points were awarded for math, reading, and writing sections.

Step-by-step explanation:

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 7x^2-6 \qquad \begin{cases} x_1=4\\ x_2=b \end{cases}\implies \cfrac{f(b)-f(4)}{b - 4} \\\\\\ \cfrac{(7b^2-6)~~ - ~~(7(4)^2-6)}{b-4}\implies \cfrac{7b^2-6~~ - ~~(112-6)}{b-4} \implies \cfrac{7b^2-112}{b-4}[/tex]

[tex]\cfrac{7(b^2-16)}{b-4}\implies \cfrac{7(b^2-4^2)}{b-4}\implies \cfrac{7~~\begin{matrix} (b-4) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(b+4)}{~~\begin{matrix} b-4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \boxed{7(b+4)}[/tex]

This expression gives the average rate of change of the function over the interval [4, b].

The average rate of change of a function on an interval is equal to the rise (change in the y-value) divided by the run (change in the x-value) over that interval.

For f(x) = 7x² - 6 on the interval [4, b], the average rate of change can be found by calculating the slope of the secant line connecting the points (4, f(4)) and (b, f(b)).

Therefore, the average rate of change of f(x) = 7x² - 6 on the interval [4, b] is:

(7b² - 6 - (7(4)² - 6)) / (b - 4) = (7b² - 28) / (b - 4)

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The slope intercept form of the equation is given as y = 0.75x + 1.75

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope (m) is the cost per taco, which is $0.75. The y-intercept (b) is the cost of the drink, which is $1.75.

So, the equation that represents the total cost (y) for x number of tacos and a drink is:

y = 0.75x + 1.75

This equation states that for every taco ordered (x), the cost will increase by $0.75, and the minimum cost will always be $1.75 for the drink.

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53/6, 203/10 and 73/5 rounded to the nearest whole number are 9, 20 and 15 respectively

Approximation is the process of using rounded values when presenting numerical data and making rough calculations.

The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up.

The numbers can be rounded to the nearest whole number as follows:

53/6 = 8.83 = 9          (round up)

203/10 = 20.3 = 20    (round down)

73/5 = 14.6 = 15           (round up)

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Answer:C

Step-by-step explanation:

The expression for the number of pencils she has left will be 100 - 2 × 22 - 2 × 19. Then the correct option is C. And yes, she has enough pencils.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Ms. Florinda is a kindergarten educator. She purchases 100 pencils and needs to give 2 pencils to every one of her understudies. She has 2 classes, a class with 22 understudies and a class with 19 understudies.

Then the expression is given as,

⇒ 100 - 2 × (22 + 19)

⇒ 100 - 2 × 22 - 2 × 19

⇒ 100 - 44 - 38

⇒ 18

The expression for the number of pencils she has left will be 100 - 2 × 22 - 2 × 19. Then the correct option is C. And yes, she has enough pencils.

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The values of {x} are given above upto 2³.

Given is that x = 2 and x = 3.

We can write -

2³ = 8

x = 1                  x = 2

x = 3                 x = 4

x = 5                 x = 6

x = 7                 x = 8

Therefore, the values of {x} are given above upto 2³.

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Answer:

X=15

Step-by-step explanation:

The area of the rectangular closet is given by the equation A = 64 feet²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular closet be represented as A

Now , the equation will be

The area of 1 carpet square = 1 foot²

The number of rows = 4 rows

The number of carpet square in each row = 16 carpet squares

So , the total number of carpet squares in 4 rows = number of rows x number of carpet square in each row

Substituting the values in the equation , we get

The total number of carpet squares in 4 rows = 16 x 4 = 64 carpet squares

So , the area of 64 carpet squares = 64 x area of 1 carpet square

Substituting the values in the equation , we get

The area of the rectangular closet A = 64 feet²

Hence , the area of the rectangular floor is 64 feet²

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Answer:

y is not a function of x.

Step-by-step explanation:

To know if this is a function, first look in the x column.

If there are no repeated numbers, its a function. Here there is a repeat. 1 is listed twice.

Since there are two different y's that go with the x, when x is 1, this is not a function.

Because (1,8) and (1,12) are the problem. This is not a function because even just one x has more than one y.

Answer:17

Step-by-step explanation:

DON'T TRUST ME

y=4 is the minimum y-value after which the exponential function will always be greater than the linear function.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

From the graph we can see that in the interval [0,1] the value of y is less than 1.

In the interval [1,2] the value of y value is 2 to 4.

In the interval [2,infinity) the graph is going up, and the value of y is greater than or equal to 4.

Therefore, the graph going up after y=4 above the line.

Therefore, the minimum y-value is 4 after which the exponential function will always be greater than the linear function.

Hence, y=4 is the minimum y-value after which the exponential function will always be greater than the linear function.

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Answer:

Below

Step-by-step explanation:

He wants to DIVIDE the 3/4 gallon into 5 bux

 so divide 3/4 by 5

3/4  /  5 = (3/4) / (5/1) = 3/4 * 1/5 = (3*1) / ( 5*4) = 3/20 gallon per bux

The amount of paint that Ralph store in each container is 3/20 gallon.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Total amount of paint that Ralph has = 3/4 gallon

He wants to store all of the paint equally among 5 containers.

If the paint is stored in 5 containers,

Amount of paint in each container = 3/4 ÷ 5

                                                         = 3/4 × 1/5

                                                         = 3/20

Hence 3/20 gallon of paint is stored in each container.

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The percent of people satisfied with the survey is 55%

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, in a survey of 1,600 people who owned a certain type of​ car, 880 said they would buy that type of car again, we need to find what percent of the people surveyed were satisfied with the​ car,

The percent of people satisfied with the survey = 880 / 1600 × 100

= 55%

Hence, the percent of people satisfied with the survey is 55%

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Answer:

A. 1436.03 ft³

Step-by-step explanation:

V = (4/3)πr³

V = (4/3)(3.14)(7 ft)³

V = 1436.03 ft³

The dimensions for a square that has a perimeter of 14 units and area or 49 units² will be 7 units by 7 units.

The perimeter of a shape is simply the total length of the boundary that the shape has. It should be noted that in this case, it's gotten by adding all the length that the shape has.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

In this situation, the square has a perimeter of 14 units and area or 49 units². The dimensions will be 7 units by 7 units.

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Answer: x=15

Step-by-step explanation: try cross multiplying

Since the barber cuts 32 haircuts in 2 days, the rate for a ratio of the two different quantities include the following: C. 32 over 2 haircuts per day.

In Mathematics, a proportion simply refers to an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

By applying direct proportion to the given information, we have the following mathematical expression:

32 haircuts = 2 days

1 haircut = (32/2) haircut per day

In this context, we can reasonably infer and logically deduce that the barber cuts 16 haircuts in a single day or per day.

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Answer:

C: 32/2

Step-by-step explanation:

i took the exam :)

Answer: 4 and 1

Step-by-step explanation:

the expression 4x² + x + 3.
the coefficients are 4 and 1
so the answer is 4 and 1
because 4 is the quadratic coefficient and 1 is the primary term coefficent

Answer:

3 terms

4 and 1 coefficients

Step-by-step explanation:

The median wage of workers in the firm is given as follows:

Rs 2.37 per hour.

The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.

From the data-set in this problem, the median is obtained as follows:

Hence the median class is:

Rs 2.25 to Rs 2.49 per hour.

The median is the middle value of the class, hence:

(2.25 + 2.49)/2 = Rs 2.37 per hour.

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On solving the provided question, we can say that all the factors of 30 on the hundred chart are = 1,2,3,5,6,10,15,30 and mistake he made was he didn't mark = 2,6,10,30

In mathematics, the integer m serves as the divisor (also known as factor n) of an integer n, which may be multiplied by the integers to get n. We may also state that n in this situation is a multiple of m. A number without a residue that divides another number is said to be a factor. In other words, if you multiply two integers to create a product, the numbers you multiply are factors of the product since the result is divisible by the numbers you multiply. Factors can be found using either division or multiplication.

all the factors of 30 on the hundred chart are = 1,2,3,5,6,10,15,30

mistake he made was he didn't mark = 2,6,10,30

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Answer:

Dina =z gerbils

Jacki =4z

W = 4z

Independent:z

Dependeny:w

Step-by-step explanation:

I think it's right

Answer:

He is incorrect

Step-by-step explanation:

7n = 49

Isolate variable "n" by dividing both sides by 7:

n = 7

Since doing this step makes n to equal 7, [Ben is incorrect to say that n = 6]

Solving provided question, we can say that  equation of slope intercept will be => y - 30 = mx - 3m

In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.

from the provided graph,

the coordinates are (3,30)

equation of slope intercept will be

y - 30 = m(x - 3)

y - 30 = mx - 3m

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Answer:

12 feet

Step-by-step explanation:

this is a rectangle! because DC = 16 feet, you know that AB is also equal to 16 feet

therefore, DA + CB = 24

because ABCD is a rectangle, you know that DA = CB and you can use substitution to say that CB + CB = 24

2CB = 24

CB = 12

Answer:

28

Step-by-step explanation:

The constant variation, a, is equal to the product of x and y when they are both known. In this case, when x = 7 and y = 4, the constant variation is 4 * 7 = 28. So, the equation for the inverse variation is y = 28 / x.

The car can travel 528 miles on a one full tank gas that averages 44 miles per gallon.

In mathematics, the central value of a set of data is expressed as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. In terms of statistics, the term "mean" also refers to the average of a certain set of numerical data.

Given that, Juanita has a hybrid car that averages 44 miles per gallon.

Her car has a 12-gallon tank.

So, the car travels:

(12) (44) = 528 miles.

Hence, the car can travel 528 miles on a one full tank gas.

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The shortest distance  from A to B in the figure is length AB, So Option A is correct

The smallest (straight line) distance between a body's beginning position and its final location—represented by an arrow pointing from starting position to final position—is referred to as a body's displacement as it moves from one position to another. Being a vector quantity, it.

Given that,

A quadrilateral figure ABCD

and it has one diagonal BD

Shortest distance from A to B  =?

Possible paths, For A to B

1. Directly A to B

Distance = AB

2. A to D then D to B

Distance =  AD + DB

3.   A to D then D to C and then C to A

Distance =  AD + DC + CA

It can be seen that distance covered is lesser in case 1 in compare to case 2 & 3

Hence, the shortest distance is  AB

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