Is the graph of a cubic polynomial a parabola?

The value of the inequality equation is x ≤ 7

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

4x ≤ 28   be equation (1)

Now , on simplifying the equation , we get

Divide by 4 on both sides of the inequality equation , we get

x ≤ 7

Therefore , the value of x is less than or equal to 7

All the numbers less than or equal to 7 satisfies the condition for x

The value of the equation x ≤ 7 is shown in the graph below

Hence , The value of the inequality equation is x ≤ 7

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Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

Answer:

Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)

Step-by-step explanation:

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The increase population of Placerville is, 51.15%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The population of Placerville grew from 4360 a decade ago to 6590 today.

Hence, The increase percent is,

⇒ (6590 - 4360) / 4360 × 100

⇒ 51.15%

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Given

Natasha is assigned the task of creating a few auxiliary views of certain objects. She wants to project a view onto a plane that is perpendicular to one of the principal planes of projection.

Find

Which type of auxiliary view should she use?

Explanation

as she wants to project a view onto a plane that is perpendicukar to one of the principal planes of projection.

so , she will use Primary Auxiliary view

Final Answer

So, She use Primary Auxiliary view

Answer: the men’s of this set of numbers is 60

Step-by-step explanation:

Add all the numbers together and then divided but the amount of numbers in the set

Answer:

The selling price of each is Rs.5941

Step-by-step explanation:

Given

\(N = 80\) ---- Cookers

\(CP = Rs. 5700\) --- Cost Price

\(Transport = Rs.1280\)

\(Profit = Rs.18000\)

Required

Determine the selling price (SP) of each

First, calculate the total cost price:

\(Total = N * CP + Transport\)

\(Total = 80 * 5700 + 1280\)

\(Total = 457280\)

Selling Price is calculated using:

\(Selling\ Price = Cost\ Price + Profit\)

\(Selling\ Price = 457280 + 18000\)

\(Selling\ Price = 475280\)

So, the total selling price of the 80 cookers is: Rs.475280

The selling price of each is:

\(Each = \frac{475280}{80}\)

\(Each = 5941\)

The selling price of each is Rs.5941

The broker charges $6.50 per ticket, therefore, the total amount will be directly related to the total number of tickets sold.

The two quantities that are changing in the situation are:

Now, the total amount depends on the number of tickets sold, therefore, if we define

we can set the following equation:

Part a) Total amount, and the number of tickets.

Part b)

T is the dependant variable, and n is the independent variable.

Part c)

Answer:

hey, how you're day going

Step-by-step explanation:

.................

Answer:

This is not a function

Step-by-step explanation:

Hope this helps

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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first of all, lets set up the equation

3x + 2y = 31

9x + 8y = 103

+--------------------

now make them equal

12x + 8y = 124

9x + 8y = 103

+----------------------

x=7

y=5

Answer: The answer is 2x + 7.

Explanation: First, we need to add the numbers:

9x + 3 – 7x + 4

9x + 7 - 7x

And finally, we combine like terms:

9x + 7 - 7x

2x + 7

There were 8 slices in the whole pizza.

An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =.  Let us assume the number of slices in the whole pizza is "x".

Since Jim ate two slices which is 25% of the pizza, we will set up the equation:

2 = 0.25x

To solve for "x":

2 / 0.25 = x

x = 8.

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Answer:

f(− 3) = 84

Step-by-step explanation:

Given the function,  f(x) = 7(9 − x), to find the value of f(-3) substitute x = -3 into the function:

f(− 3) = 7(9 − (− 3))

f(− 3) = 7(9 + 3)

f(− 3) = 7(12)

f(− 3) = 84

Therefore, f(− 3) = 84.

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The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Step-by-step explanation:

C. 3X + 2=8is the correct answer

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Answer:

Your answer is C

Step-by-step explanation:

(3 * 2) + 2

6 + 2 = 8

The length of DE is 4√2, the correct option is B.

An Isosceles triangle is a triangle whose two sides are equal in length, and so two angles are also equal in measure.

DEF is a right angled triangle has two angles as 45 degree,

The triangle is therefore an Isosceles Triangle as the two angles are equal, so the side lengths corresponding to it will be equal,

The hypotenuse DF = 8

The length of DE can be determined by Pythagoras Theorem.

Let the side length be x units then,

8² = x² + x²

64 = 2x²

32 = x

x = 4√2

DE = 4√2

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Answer:

See below

Step-by-step explanation:

d = 78° (Vertical angles)

h = 70° (Vertical angles)

Measure of angles d and h are are not equal. therefore they are not congruent.

Answer:

Their monthly payment will be $ 1,303.68.

Step-by-step explanation:

Since Maya's new home had a purchase price of $ 325,500, and Maya and her husband got a 15-year fixed mortgage for 70% of the purchase price, and the interest rate on the loan was 2,990%, to determine what was their monthly payment, the following calculation must be performed:

((325,500 x 0.7) x 1.0299) / (12 x 15) = X

(227,850 x 1.0299) / 180 = X

234,662,715 / 180 = X

1,303.68 = X

Therefore, their monthly payment will be $ 1,303.68.

The Answer Is 18

Order Of Operation laws says that you must do the parentheses first, 45x2.

45x2=90

The next thing you must do is divide 90 by 10 since division is before addition.

90/10=9

Now combine like terms.

9+9=18

Answer:

50.854 seconds

Step-by-step explanation:

24.98 + 25.874 = 50.854 seconds

The population of Greene country in 2015 was 51408 which is greater than the population of Orange country in 2015.

What is an exponential function?

The definition of an exponential function is given by the equation

y = aeᵇˣ, where a and b are constants.

The given function is f(x) = 87000(0.9)ˣ.

Given that x = 0 represents the year 2010.

Therefore, x= 5 represents the year 2015.

Substitute x = 5 into the given function:

f(5) = 87000(0.9)⁵

    ≈ 51373

Hence, the population of Orange country is about 51373 in 2015.

Now, the population of Greene country was 78000 in 2010 and has decreased exponentially at a rate of 8% each year.

The population of Greene city after 5 years is given by:

78000(1-8%)⁵

= 78000(1 - 0.08)⁵

= 78000(0.92)⁵

= 51408

Therefore, the population of Greene country in 2015 was 51408 which is greater than the population of Orange country in 2015.

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Answer:

-61

Step-by-step explanation:

This is the answer because -61 minus -5 is -66 which in turn is divided by six, which gives you the answer of -11

The problem can be solved by using proportionality between ratios of areas and sides. Here the side of the second triangle will be 4.66 cm or     4 \(\frac{2}{3}\) cm.

The data that is given are

Area of first triangle, A₁ = 9 cm²

Area of second triangle, A₂= 49cm²

Side of the first triangle, s₁ = 2 cm

Since the triangles are similar, Ratio of area = 9: 49

Ratio of sides = 2 : S₂

For similar triangles, proportionality between sides and area can be depicted as, \((\frac{S_{1} }{S_{2} } })^{2} = \frac{A_{1} }{A_{2} }\)

   \((\frac{2}{S_{2} })^{2} = \frac{9}{49}\\\frac{2}{S_{2} } = \sqrt{\frac{9}{49} } \\\frac{2}{S_{2} } = \frac{4}{7}\)

 S₂ = (2×7)/4 = 14/4 = 4 \(\frac{2}{3}\) = 4.66 cm

So the corresponding side of second triangle will be 4 \(\frac{2}{3}\) cm

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Using the z-distribution, as we are working with a proportion, the minimum sample size required to ensure a 90% confidence interval for p to within 0.02 is of 1692.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In this problem:

Then, solving for n:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.02 = 1.645\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.02\sqrt{n} = 1.645(0.5)\)

\(\sqrt{n} = \frac{1.645(0.5)}{0.02}\)

\((\sqrt{n})^2 = \left(\frac{1.645(0.5)}{0.02}\right)^2\)

\(n = 1691.3\)

Rounding up, a sample size of 1692 is needed.

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Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

69 ÷ 7 = 9 r6

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