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devlian [24]
3 years ago
7

Find the product (x+2)(x+3)

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

Answer:

x^{2}+5x+6.

Step-by-step explanation:

Here you can use the foil method.

1. Multiply x by x to get x^{2}.

2. Multiply x by 3 to get 3x.

3. Multiply 2 by x to get 2x.

4. Multiply 2 by 3 to get 6.

Now, you have to add all those terms to get  x^{2}+3x+2x+6 and you can simplify that to  x^{2}+5x+6.

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Help with math please???
Tresset [83]

Okay, let's see...

The problem is asking for a linear equation most likely in the form of y=mx+b

y is another way to say f(x)

<em>m = slope </em>

<em>b = y intercept </em>

Let's start with the y intercept first.

Y intercept means ' When does the line touch (intercept) the y axis.

In this case, if you look at the graph, the line <em>touches </em>the y axis at -1.

-1 will replaces b

To find the slope we are going to take 2 precise points from the graph.

Lets use <em>(0,-1)</em> and <em>(-6,4) </em>

To find the slope, we're going to use \frac{(y_{2}  -y_{1} )}{(x_{2} -x_{1} )}

4 - (-1)     /     -6  - 0

Solve, our slope is 5/-6

That is our m

Our final equation is

f(x)=\frac{-5}{6} x -1

3 0
3 years ago
Mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?
7nadin3 [17]

Answer:

Step-by-step explanation:

320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour

3 0
3 years ago
What is the equation of the line that is parallel to the line y =1/3 x + 4 and passes through the point (6, 5)?
lianna [129]

Answer:

y = \frac{1}{3} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x + 4 ← is in slope- intercept form

with slope m = \frac{1}{3}

Parallel lines have equal slopes , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \frac{1}{3} x + 3 ← equation of parallel line

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