Is y=x to the 2nd power + 6 linear on nonlinear and why?

MissTica

Answer:

Problem: Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class.

Solution: Let g represent the number of groups in Ms. Jensen's class.

Then 2 · g, or 2g can represent "g groups of 2 students".

In the problem above, the variable g represents the number of groups in Ms. Jensen's class. A variable is a symbol used to represent a number in an expression or an equation. The value of this number can vary (change). Let's look at an example in which we use a variable.

Example 1: Write each phrase as a mathematical expression.

Phrase Expression

the sum of nine and eight 9 + 8

the sum of nine and a number x 9 + x

The expression 9 + 8 represents a single number (17). This expression is a numerical expression, (also called an arithmetic expression). The expression 9 + x represents a value that can change. If x is 2, then the expression 9 + x has a value of 11. If x is 6, then the expression has a value of 15. So 9 + x is an algebraic expression. In the next few examples, we will be working solely with algebraic expressions.

Example 2: Write each phrase as an algebraic expression.

Phrase Expression

nine increased by a number x 9 + x

fourteen decreased by a number p 14 - p

seven less than a number t t - 7

the product of 9 and a number n 9 · n or 9n

thirty-two divided by a number y 32 ÷ y or

In Example 2, each algebraic expression consisted of one number, one operation and one variable. Let's look at an example in which the expression consists of more than one number and/or operation.

Example 3: Write each phrase as an algebraic expression using the variable n.

Phrase Expression

five more than twice a number 2n + 5

the product of a number and 6 6n

seven divided by twice a number 7 ÷ 2n or

three times a number decreased by 11 3n - 11

Step-by-step explanation:

7 0

3 years ago

Find the area of a rectangle with the length = 4x and the width = x - 7.

galina1969 [7]

Answer:

4x^2 - 28x

Step-by-step explanation:

area = length * width

a = 4x * (x-7)

4x^2 - 28x

8 0

2 years ago

P(x)=2x^5+9x^4+9x^3+3x^2+7x-6;x=i,-2

satela [25.4K]

Answer:

The value of the polynomial function at P(1) and P(-2) is 24 and 0 respectively.

Step-by-step explanation:

We are given with the following polynomial function below;

$\text{P}(x) = 2x^{5} +9x^{4} +9x^{3} +3x^{2}+7x-6$

Now, we have to calculate the value of P(x) at x = 1 and x = -2.

For this, we will substitute the value of x in the given polynomial and find it's value.

$\text{P}(1) = 2(1)^{5} +9(1)^{4} +9(1)^{3} +3(1)^{2}+7(1)-6$

$\text{P}(1) = (2\times 1) +(9\times 1)+(9 \times 1)+(3\times 1)+(7\times 1)-6$

$\text{P}(1) = 2 +9+9+3+7-6$

P(1) = 30 - 6

P(1) = 24

$\text{P}(-2) = 2(-2)^{5} +9(-2)^{4} +9(-2)^{3} +3(-2)^{2}+7(-2)-6$

$\text{P}(-2) = (2\times -32) +(9\times 16)+(9 \times -8)+(3\times 4)+(7\times -2)-6$

$\text{P}(-2) = -64 +144-72+12-14-6$

P(-2) = 156 - 156

P(-2) = 0

Hence, the value of the polynomial function at P(1) and P(-2) is 24 and 0 respectively.

3 0

3 years ago

How do you isolate a variable?

Talja [164]

Answer:

"The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation."

Step-by-step explanation: That was from google :3

7 0

3 years ago

Read 2 more answers

If the federal budget for 2007 was 2.8 trillion dollars, how much money did the government spend per second? Please help!

diamong [38]

Solution:

we are given that

The federal budget for 2007 was 2.8 trillion dollars.

we have been asked to find

how much money did the government spend per second?

First we will find the number of seconds in one year