A bookstore uses 6 books in each display.There are 2 displays on each of the bookstore's 4 walls.How many books are used in the displays? Show your work.3rd grade subject

Answer:

The domain is [-9, 7]

Step-by-step explanation:

In mathematics, the domain of a function is the set of inputs accepted by the function.

We can represent the domain in interval notation.

a " ( " or  " ) " represents a number that is not included. For example, infinity, or if the point is an open circle.

a " [ " or  " ] " represents a number that is included. For example -9. is included, and the start of the domain and it is a filled in circle, so it must use a bracket of [.

The blue curve of the image attached below represents the graph of the function f(x) = 3 · x².

In this question we have a power function formed by the product of a primitive function g(x) = x² and vertical dilation h(x) = 3, then:

f(x) = h(x) · g(x)

f(x) = 3 · x²

Now we proceed to graph both the primitive function and the transformed function with a graphing tool. Please notice that the primitive function is the red curve.

The statement presents typing mistakes. Correct form is shown below:

Show a graph for the following: f(x) = 3 · x².

To learn more on power functions: https://brainly.com/question/12431044

#SPJ1

Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

The vertices of A'B'C' if A(0, 10), B(8, 6), C(4, 2) is dilated by a scale factor of 2 are;

Given that triangle ABC is dilated by a scale factor of 2, we have;

A'B' = 2 × AB

A'C' = 2 × AC

B'C' = 2 × BC

Length of AB = √((8-0)^2 + (6-10)^2) = 4•√5

Length of AC = √((4-0)^2 + (2-10)^2) = 4•√5

Length of BC = √((8-4)^2 + (6-2)^2) = 4•√2

By multiplying the given coordinates by the scale factor, we have;

A' = 2 × (0, 10) = (0, 20)

B' = 2 × (8, 6) = (16, 12)

C' = 2 × (4, 2) = (8, 4)

A'B' = √((16-0)^2 + (12-20)^2) = 8•√5

A'C' = √((8-0)^2 + (4-20)^2) = 8•√5

B'C' = √((16-8)^2 + (12-4)^2) = 8•√2

Therefore when we have;

A'(0, 20), B'(16, 12), C'(8, 4), we get;

The correct option is therefore;

Learn more about finding the distance between points on the coordinate plane here:

https://brainly.com/question/7243416

#SPJ1

the given problem can be exemplified in the following diagram:

The slope is defined as the tangent of the angle, therefore the slope is:

Therefore, the slope is 1.96.

When the rocket has travelled 66 yards, we have the following situation:

To determine the value of the height "y" we can use the function tangent since this function is defined as:

Replacing the known values:

Multiplying both sides by 66 we get:

Solving the operations:

Therefore, the height is 129.7 yards.

When the rocket is at a height of 308 yards, we have the following situation:

we can use the tangent function. Replacing the known values we get:

Multiplying both sides by "x":

Dividing both sides by tan 1.1:

Solving we get:

Answer:

i don't know i think its 20 in my opnian

Step-by-step explanation:

i don't know sorry

Answer:

the value is k=

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

24/k = 24/3 = 8

If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

Answer:

10x +12

Step-by-step explanation:

2(3x+7) = 6x+14

2(2x-1) = 4x-2

6x+14 +4x-2 = 10x+12

Answer:

P = 10x + 12

Step-by-step explanation:

The length of the rectangle is

L = 3x + 7

The width of the rectangle is

W = 2x - 1

The formula for perimeter of a rectangle is

P = 2L + 2W

Plug in the values for length and width and simplify.

P = 2(3x + 7) + 2(2x - 1)

P = 6x + 14 + 4x - 2

P = 10x + 14 - 2

P = 10x + 12

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

For more such questions on coefficients , Visit:

https://brainly.com/question/1038771

#SPJ8

Answer:

Step-by-step explanation:

this is easy just multiply the VALUE of the cards or divide using standard algorithm

Answer:

3 ft and 9 ft

Step-by-step explanation:

Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

For such more questions on amount

https://brainly.com/question/24644930

#SPJ8

Answer:

Option 1

Step-by-step explanation:

\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)

A square pyramid has a square base with four vertices, and an additional vertex at the apex of the pyramid, for a total of five vertices or zero-dimensional objects.

Answer:

A.) 5

Points are 0 dimensional objects.

Answer:

  (c)  (-∞, -2] ∪ (-1, ∞)

Step-by-step explanation:

You want the range of the piecewise function shown in the graph.

The range is the vertical extent of the graph, the set of possible output values of the function.

This graph shows a gap between y = -2 and y = -1. The value y = -2 is included in the range, but the value y = -1 is not. (That's what the open circle means.)

Hence, the range is ...

  (-∞, -2] ∪ (-1, ∞)

The coordinate of point D and point E will be (x, y) and (-x, y), respectively.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line in the m:n ratio, finding the mid-point of the line, etc.

Let the coordinate of the point D be (x, y).

Point E has a similar y-coordinate as point D. Then the ordinate of the points will be the same.

And the x-direction of point E is something contrary to the x-direction of point D. Then the coordinate of point E will be (-x, y).

The coordinate of point D and point E will be (x, y) and (-x, y), respectively.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ1

Answer: \(y = 121\)

\((y+57) = 178\)

\(y+57= 178\)

\(y = 178 -57\)

\(y = 121\)

Answer:

option 2

Step-by-step explanation:

The graph represents the following piecewise defined function is attached below.

A function is an expression that illustrates the connection between two or more variables and numbers. A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.

We have a function,

g(x) = { x², x<0

         1/2 x , 0<x<4

A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.

The below-attached piecewise function is available.

Given the following piecewise function, the graph is attached below.

Learn more about piecewise function here: brainly.com/question/10733545

#SPJ5

Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

for more such questions on logarithmic properties

https://brainly.com/question/30226560

#SPJ8

Answer:

27 cm.

Step-by-step explanation:

As there are 3 sides in a triangle and this is regular , the length of one side

= 81/3

= 27 cm

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

Regarding the hypothesis tested in this problem, it is found that:

a) The test statistic is: t = 0.49.

b) The p-value is: 0.6297..

c) The null hypothesis is not rejected, as the p-value is greater than the significance level.

d) It appears that the students are legitimately good at estimating one minute, as the sample does not give enough evidence to reject the null hypothesis.

The test statistic of the t-distribution is given by the equation presented as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

In which the variables of the equation are given as follows:

The value tested at the hypothesis is:

\(\mu = 60\)

From the sample, using a calculator, the other parameters are given as follows:

\(\overline{x} = 62.47, s = 19.2, n = 15\)

Hence the test statistic is obtained as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{62.47 - 60}{\frac{19.2}{\sqrt{15}}}\)

t = 0.49.

The p-value is obtained using a t-distribution calculator, with a two-tailed test, as we are testing if the mean is different a value, in this case 60, with:

Hence the p-value is of 0.6297.

Since the p-value is greater than the significance level of 0.01, the null hypothesis is not rejected, attesting to the ability of the students to estimate one minute.

More can be learned about the test of an hypothesis at https://brainly.com/question/13873630

#SPJ1

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

The GDP at FC from the following data: GDP at MP = Rs. 2,000 billion Indirect taxes = Rs. 300 billion Subsidies = Rs. 100 billion​ is: Rs. 1,800 billion.

Using this formula to determine the GDP at FC

GDP at FC = GDP at MP - Indirect taxes + Subsidies

Where:

GDP at MP (Market Price) = Rs. 2,000 billion

Indirect taxes = Rs. 300 billion

Subsidies = Rs. 100 billion

Let plug in the formula

GDP at FC = 2,000 billion - 300 billion + 100 billion

GDP at FC = 1,800 billion

Therefore the GDP at factor cost (FC) is Rs. 1,800 billion.

Learn more about GDP here:https://brainly.com/question/1383956

#SPJ1

Answer:

12k = 84 (Product means multiply)

k = 7

Step-by-step explanation:

12k = 84

12k ÷ 12 = 84 ÷ 12

k = 7

Answer:

K = 82

94-12=84

therefore k= 82 because, 12+82=94

The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

To learn more on fraction click:

brainly.com/question/10354322

#SPJ1