How could you rewrite the expression (3 + 5) + 8 using the Associative Property of Addition?

1 answer:

8 0

3+(5+8)<span>
</span>The Associative Property of Addition states that you can add or multiply numbers any way, it doesn't matter how they are grouped.

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Suppose you know the slope of a linear relationship and one of the points that it's graphed passes through. How can you determin

liberstina [14]

If you know the slope of a linear relationship as well as one of the points, you can determine if the relationship is proportional if the value of y is equal to the value of the slope times the x value.

<h3>When is a relationship proportional?</h3>

The linear relationship of x and y is said to be proportional if:

y = slope × x

This means that the value of y is directly related to the value of x such that when x is increased by a certain value, you get y.

If this condition is not satisfied then the relationship is not proportional.

The linear relationship above is therefore proportional if the value of y in the point is the same as x when multiplied by the slope.

Find out more on proportional relationships at brainly.com/question/3383226

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3 0

1 year ago

Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)

Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form $ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

8 0

1 year ago

X-4, for x=-4<br> Can you pls help me like NOW!!!!

boyakko [2]

Answer:

-8

Step-by-step explanation:

It's basically -4-4. Which means -(4+4) = -8.

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2 years ago

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