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2 years ago

X+2>7 write the solution set in interval notation

Mathematics

1 answer:

REY [17]2 years ago

5 0

Answer:

(5, infinitysymbol)

Step-by-step explanation:

First solve the inequality. Subtract 2 from both sides.

x + 2 > 7

x > 5

So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.

Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.

So x > 5 in interval notation is:

(5, infinitysymbol)

This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.

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Find the square of (2a+b)

melisa1 [442]

Answer:

4a^2+4ab+b^2

Step-by-step explanation:

To find the square we multiply the expression with itself

(2a+b)×(2a+b) = 4a^2+4ab+b^2

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4 years ago

lys-0071 [83]

Answer:

<2, <5, <4, <7

Step-by-step explanation:

Angles are Supplementary when their sum is 180 degrees.

so angle 1's supplements are <2, <5, <4, <7

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4 years ago

Find the perimeter of the object Help step by step please!

aliina [53]

Answer:

29.42 units

Step-by-step explanation:

1) Find the perimeter around the semi-circle

To do this, we find the circumference of the circle using the given diameter:

$C=\pi d$ where d is the diameter

Plug in 6 as the diameter

$C=\pi (6)\\C=6\pi$

Divide the circumference by 2

$\frac{6\pi }{2} \\= 3\pi$

Therefore, the perimeter around the semi-circle is 3π units.

2) Find the perimeter around the rest of the shape

Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those vertical sides facing the right add up to 6. We also know that all of those horizontal sides facing up add up to 7. Please refer to the attached images.

Therefore, we add the following:

7+6+7

= 20

Therefore, the perimeter around that area of the shape is 20 units.

3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape

$20+3\pi \\= 20+9.42\\= 29.42$

Therefore, the perimeter of the shape is approximately 29.42 units.

I hope this helps!

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3 years ago

What type of function is represented below the tables of value??

sergey [27]

This is a linear function. They vary directly with each other.

x increasing by 1 each time.

y increases by 4 each time.

I hope this helps!
~kaikers

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4 years ago

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Hatshy [7]

Answer:

The correct answer is C. It is the original amount of money the bank loans the borrower.

Step-by-step explanation:

Let's recall that are five basic elements for calculating the payment of a loan:

1. The principal. How much money you borrow.

2. The interest rate. How much money you will pay in addition to the principal.

3. The period of time. How long will it takes you to pay the loan.

4. The frequency of payment. Will you pay every month?, every quarter?, every year or maybe every two weeks?

5. Additional payments. When you have additional income seasonally and you want to lower either the period of time or the interests to pay.

4 0

4 years ago