If a scale factor of four is used, the points in the image will be eight times as far from the origin as the pre-image points.
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Product of polynomials can be done by using distributive property of multiplication over addition. The needed product is: Option
<h3>What is distributive property of multiplication over addition?</h3>Suppose a, b and c are three numbers. Then we have:
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
<h3>What are like terms?</h3>Those terms which have same variables raised with same powers.
For example, and
are like terms since variable is same, and it is raised to same power 3.
For example and
are not like terms as the variables are same but powers aren't same.
For the given case, the expression is
Using the distributive property of multiplication over addition, we get the product result as:
(when like terms are multiplied, powers are added of the variables (same variable) due to property )
Learn more about product of polynomials here:
The cost of one adult ticket is $7.5 and one child ticket is $3.5
Julia will pay $48 for 5 adult tickets and 3 child tickets.
Step-by-step explanation:
Let,
Cost of one adult ticket = x
Cost of one child ticket = y
According to given statement;
3x+5y=40 Eqn 1
x+5y=25 Eqn 2
Subtracting Eqn 2 from Eqn 1
Dividing both sides by 2
Putting x=2.5 in Eqn 1
Dividing both sides by 5
The cost of one adult ticket is $7.5 and one child ticket is $3.5
5 adult tickets = 5*7.5 = $37.5
3 child tickets = 3*3.5 = $10.5
Total = 37.5+10.5 =$48
Julia will pay $48 for 5 adult tickets and 3 child tickets.
Keywords: linear equation, subtraction
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