The graph of a quadratic function with vertex (1,-2) is shown in the figure below.
Find the range and the domain.

(a) The coldest city is city C because it has the lowest temperature.

(b) The warmest city is city B because it has the highest temperature.

The coldest city is the city with the lowest temperature or the city with the least amount of temperature.

The temperature of the cities is given as follows;

City A = -9 ⁰F

City B = 10 ⁰F

City C = - 3.5 ⁰F

Thus, the coldest city is city C because it has the lowest temperature.

The warmest city is city B because it has the highest temperature.

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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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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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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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Answer:C

Step-by-step explanation:

The value of d in terms of w and l is d = √216w / 35l.

The weight of w kg of a metal bar varies jointly as its length L metres and the square of its diameter d mm. If w = 140 when d = 4 and L = 54. The value of d in terms of W and L can be found as follows:

Therefore, using the proportional relationship,

w ∝ ld²

w = kld²

Where,

Therefore,

140 = k × 54 × 4²

140 = 864k

k = 140 / 864 = 70 / 432 = 35 / 216

k = 35 / 54

Therefore, d in terms of w and l is as follows:

w = kld²

d² = w / kl

Hence,

d = √216w / 35l

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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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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:

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:

X=15

Step-by-step explanation:

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 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:17

Step-by-step explanation:

DON'T TRUST ME

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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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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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 :)

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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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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The possible rational zeros of the given polynomial are given by: p/q = ±1, ±2, ±3, ±6

What is a polynomial ?

Polynomial can be defined as expression in which combination of variables and coefficients

A rational zero of a polynomial is a rational number that, when plugged into the polynomial, results in zero. To find all possible rational zeros of a polynomial, we can use the Rational Root Theorem.

According to the Rational Root Theorem, if a rational number "p/q" is a zero of a polynomial, where p and q are integers and q ≠ 0, then p must be a factor of the constant term (in this case, 6) and q must be a factor of the leading coefficient (in this case, 2).

So, the possible rational zeros of the given polynomial are given by:

p/q = ±1, ±2, ±3, ±6

We can then test each of these values to see if they are actually zeros of the polynomial. To do this, we simply plug in the value and simplify. If the result is zero, then the number is indeed a zero of the polynomial.

For example, plugging in p/q = -1, we get:

2(-1)^5 + 4(-1)^4 - 3(-1)^2 + (-1) - 6 = 2 - 4 - 3 + 1 - 6 = -14,

which is not equal to zero, so -1 is not a zero of the polynomial.

By testing each of the possible rational zeros in a similar way, we can determine which ones are actually zeros of the polynomial.

Therefore,  The possible rational zeros of the given polynomial are given by: p/q = ±1, ±2, ±3, ±6

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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 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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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:

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: x=15

Step-by-step explanation: try cross multiplying

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:

Dina =z gerbils

Jacki =4z

W = 4z

Independent:z

Dependeny:w

Step-by-step explanation:

I think it's right

Answer:

[tex]x < - 2[/tex]

That the answer.

Answer:

First Question. 5942

Second Question. 1363

give the guy brainiest he deserves it

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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