The number line below represents which combined inequality?
number line with a closed circle on negative 6 and 5 with shading in between

x greater than or equal to −6 or x less than or equal to 5
x greater than or equal to −6 and x less than or equal to 5
x less than or equal to −6 and x greater than or equal to 5
x less than or equal to −6 or x greater than or equal to 5

The sales tax on the computer is $45.10.

The sales tax (x) on the computer can be expressed by the equation:

x=550×8.2100

x=5.5×8.2

x=45.1

Answer:

Required ration which represent the situation = [tex]\frac{-13}{2}[/tex]

Step-by-step explanation:

Given: Cars in parking lot decreases at rate of 13 cars every 2 minutes.

To find: Rational Number which represent given information

Rational Number is a number in form of  [tex]\frac{p}{q}[/tex] where p be any integer and q is non zero integer.

So from given information

No of cars decreases in 2 minutes = 13 cars

So, No of cars decreases in 1 minute = [tex]\frac{13}{2}[/tex]

Therefore rate at which cars decreasing in parking lot is  [tex]\frac{13}{2}[/tex]  cars/min.

Since it is decreasing, ration which represent it must be equal to [tex]\frac{-13}{2}[/tex]

Therefore, Required ration which represent the situation = [tex]\frac{-13}{2}[/tex]

The area of Jessica's rectangular poster is 27,000 square centimeters.

Given the parameters:

Jessica's rectangular poster has dimensions of 1.8 meters in length and 1.5 meters in width.

To find the area of the poster in square centimeters, we need to first convert the dimensions from meters to centimeters, as the area is measured in square centimeters.

Hence:

Length in centimeters = 1.8 × 100 = 180 centimeters

Width in centimeters = 1.5 meters × 100 = 150 centimeters

Next, we can find the area of the poster in square centimeters:

Area = Length × Width

Area = 180 centimeters × 150 centimeters

Area = 27,000 cm²

Therefore, the area is 27,000 square centimeters.

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The 12th term represents the cost of packaging and shipping a 12-pound item, which is $14.

To find the 12th term in this sequence, we first need to understand what the sequence represents. In this case, it's the cost of packaging and shipping items based on their weight.

Let's break down the formula:

For the first pound, the cost is $5.75.

For each additional pound beyond the first, the cost is $0.75.

So, the sequence represents the cost of packaging and shipping items weighing 1 pound, 2 pounds, 3 pounds, and so on.

To find the 12th term:

[tex]\[ \text{Cost} = \$5.75 + (n - 1) \times \$0.75 \][/tex]

Where ( n ) is the weight of the item.

For the 12th term:

n = 12

[tex]\[ \text{Cost} = \$5.75 + (12 - 1) \times \$0.75 \][/tex]

[tex]\[ \text{Cost} = \$5.75 + 11 \times \$0.75 \][/tex]

[tex]\[ \text{Cost} = \$5.75 + \$8.25 \][/tex]

[tex]\[ \text{Cost} = \$14 \][/tex]

So, the 12th term represents the cost of packaging and shipping a 12-pound item, which is $14.

The answer on my test said that it's x+x+4=<14

x is the numbers across the bottom and Y is the numbers on the sides

 coordinates are written (x,y)

so for 1. A is at (1,3) B is (0,5) you can find the rest

for number 2

 (2,1) is D, (3,1) is F  you can find the rest.

To figure out how many 1/8 cups are in a 1/4 cup, we execute a division of fractions. This problem can be rewritten as 1/4 divided by 1/8, then inverted to 1/4 multiplied by 8/1, which equals 2. Therefore, there are 2 1/8 cups in a 1/4 cup.

To find out how many 1/8 cups are there in 1/4 cup, you need to understand concept of fractions and their division. In this case, we want to know how many times 1/8 goes into 1/4.

We could write this as a division problem, 1/4 ÷ 1/8. Division of fractions involves flipping the second fraction (1/8) and multiplying instead. So, 1/4 divided by 1/8 becomes 1/4 multiplied by 8/1.

This results in the fractions giving us 2.

Therefore, there are 2 1/8 cups in a 1/4 cup.

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add the 3 angles together:

 30 + 30 + 30 = 90

 the answer is 90 degrees

The original vertices of the triangle is at A(4, 4), B(2, 4) and C(3, 1)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Rotation is the rotation of a figure about a point. If point A(x, y) is rotation 180 degrees about the origin, the new point is at A'(-x, -y).

Given the vertices of the final triangle are A'(-4,-4), B'(-2, -4), and C'(-3, -1) after a 180 degrees rotation. Therefore the original vertices of the triangle is:

A(4, 4), B(2, 4) and C(3, 1)

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An expression that represents temperature change per hour is Time = 3 *temperature change.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given, The pace of the temperature decline has been steady. It dropped 15 degrees in 3 hours. Hence

in three hours temperature drops  by 15 degrees

in one hour temperature drops = 15/3 = 5 degrees

Therefore, Time = 3 *temperature change is an equation that shows the temperature change per hour.

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Answer:

Options A,C and D

Step-by-step explanation:

(4x+5)(-3x-1) = -12x²-19x-5

Option A:

    (-16x² + 10x - 3) + (4x² - 29x - 2) = -12x²-19x-5

    Option A is correct.

Option B:

    3(x - 5) - 2(6x² + 9x + 5) = -12x²-15x-25

    Option B is wrong.

Option C:

    2(x - 1) - 3(4x² + 7x + 1) = -12x²-19x-5

    Option C is correct.

Option D:

    (2x² - 11x - 9) - (14x² + 8x - 4) = -12x²-19x-5

    Option D is correct.

Option E:

    (-15x² + 9x - 10) + (3x² - 10x - 5) = -12x²-x-15

    Option E is wrong.

Option F:

    (4x² - 13x - 7) - (16x² + 9x - 5) = -12x²-22x-2

    Option F is wrong.

In Apex its A. Exponetial Growth

Answer:

Option A - Exponential Growth

Step-by-step explanation:

Given : [tex]f(x)=\frac{3}{8} (4)^x[/tex]

To find : Identify the type of function given ?

Solution :    

The given function is in the form  [tex]f(x)=ab^x[/tex]

This form is an exponential form in which a is the initial value and b is the growth/decay rate factor.

If we compare the given expression,  [tex]f(x)=\frac{3}{8} (4)^x[/tex]

The initial value is  [tex]a=\frac{3}{8}[/tex]

and the growth/decay rate factor [tex]b=4[/tex]  

Since b>1 then it is a growth factor.

Refer the attached figure below.

Therefore, Option A is correct.

The function  [tex]f(x)=\frac{3}{8} (4)^x[/tex] is an exponential growth function.

The decimal -11.16 can be converted into a fraction by placing it over 100 to create -1116/100, which simplifies to -279/25 when divided by their greatest common divisor, which is 4.

To convert the decimal -11.16 into a fraction, we first need to consider the position of the decimal points. Here, there are two digits after the decimal point. Therefore, you can put -11.16 over 100 (as there are two digits after the decimal point) to get a fraction. In this case, the fraction would be -1116/100. However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 1116 and 100 is 4. So when you simplify -1116/100, you get -279/25 as the simplest form.

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