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2 years ago

14

Need help with homework plz and thank u :)

2 answers:

olga2289 [7]2 years ago

7 0

Answer:

For part a you need to factor. X to the power of 2 is 2x. when you add it its turns into 2x+10x+16=0

2x+10x=12x

12x+16 will be your final answer

Step-by-step explanation:

Vinil7 [7]2 years ago

7 0

To factorise you have to find what multiplies to the number without an x and adds to the number with x
What times to 16 and add to 10?
8 and 2
Put these in brackets with x
(x+8)(x+2)=0
To find what x is you need to make both bracket equal zero
The easy way to do this is to flip the sign
x=-8
x=-2
The solutions represent the roots of the graph which is when it crosses the x-axis. The two solutions represent what x would equal when y=0 in this equation.

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3 years ago

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3 years ago

Read 2 more answers

Determine if the table shows a linear or an exponential function

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Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

$y=mx+b$

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

An exponential function is written as:

$y=y_o.r^x$

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

$\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}$

Calculate the slope for (0,4) and (1,2):

$\displaystyle m=\frac{2-4}{1-0}=-2$

Calculate the slope for (1,2) and (2,1):

$\displaystyle m=\frac{1-2}{2-1}=-1$

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

$\displaystyle r=\sqrt[1-0]{\frac{1}{2}}$

The radical of index 1 is simply equal to its argument:

$\displaystyle r=\frac{1}{2}$

Now calculate the ratio for (0,4) and (2,1)

$\displaystyle r=\sqrt[2-0]{\frac{1}{4}}$

$\displaystyle r=\sqrt{\frac{1}{4}}$

$\displaystyle r=\frac{1}{2}$

Testing other points we'll find the same ratio, thus the table is an exponential function

4 0

3 years ago

Read 2 more answers