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3 years ago

What property is illustrated by this question? 0.2x + 1.3 + 3.9x + 9.75 A.

Mathematics

1 answer:

Bond [772]3 years ago

6 0

Answer:

The associative property is illustrated by this question ⇒ B

Step-by-step explanation:

Commutative Property states that you can move numbers around and still arrive at the same answer

For addition, a + b = b + a

For multiplication, a × b = b × a

Associative Property states that you can re-group numbers and you will get the same answer and the commutative property

For addition, (a + b) + c = a + (b + c)

For multiplication, (a × b) × c = a × (b × c)

Distributive Property states that the sum of two numbers times a third number is equal to the sum of each addend times the third number

(a + b) × c = a × c + b × c

∵ The question is 0.2 x + 1.3 + 3.9 x + 9.75

- To solve it you will add the like terms so you must group them

∴ 0.2 x + 1.3 + 3.9 x + 9.75 = (0.2 x + 3.9 x) + (1.3 + 9.75)

- This is the associative property because you re-group the numbers

∴ The associative property is illustrated by this question

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2 years ago

X2 - 4x + 4 = 0 solve following quadratic equations graphically and a table

stepan [7]

Let's create a table, and use arbitrary values of x between -3 and 3 (if the solution is not in this interval, we can use another one later). If we call:

$f(x)=x^2-4x+4$

We want to find the x's for with f(x) = 0

This is the table:

And now we can evaluate f(x) in each value of x to complete the table:

$\begin{gathered} f(-3)=(-3)^2-4\cdot(-3)+4=9+12+4=25 \\ f(-2)=(-2)^2-4\cdot(-2)+4=4+8+4=16 \\ f(-1)=(-1)^2-4\cdot(-1)+4=1+4+4=9 \\ f(0)=0^2-4\cdot0+4=4 \\ f(1)=1^2-4\cdot1+4=1-4+4=1 \\ f(2)=2^2-4\cdot2+4=4-8+4=0 \\ f(3)=3^2-4\cdot3+4=9-12+4=1 \end{gathered}$

The table is:

If we use this values and plot them in the cartesian plane.

We get:

And now if we plot a line that connects the points, we get the graph of the quadratic equation:

Since the problem ask us to find the value of x for which f(x) = 0, we can see both in the table and in the graph that this value is x = 2