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defon
3 years ago
13

Expand and simplify x(x + 1)(x + 2)

Mathematics
1 answer:
zimovet [89]3 years ago
6 0

Answer:

x^3 + 3x^2 + 2x

Step-by-step explanation:

x(x^2 + x + 2x + 2)

x ( x^2 + 3x + 2)

x^3 + 3x^2 + 2x

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Martina is currently 16 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey. Use this information to
marishachu [46]
<span>m = j + 16
m + 5 = 3j
---
put the system of linear equations into standard form
---
m - j = 16
m - 3j = -5
---
x - y = 16
x - 3y = -5

so now that you have your equations formed, just solve. 

x - y = 16 , which means that x = y + 16 
substitute for x in the second equation : 
 
Hope this helps

</span>
8 0
3 years ago
Read 2 more answers
Which is an equation of the line that passes through (-1,-5) and (-3,-7)?
STatiana [176]

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

Let's first find the slope. Below is how you find the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case we have the two points:

(-1, -5) and (-3, -7)

This means that:

y_{2} =-7\\y_{1} =-5\\x_{2} =-3\\x_{1} =-1

^^^Plug these numbers into the formula for slope...

\frac{-7-(-5)}{-3-(-1)}

\frac{-2}{-2}

1

^^^This is your slope

This is the formula we have so far:

y = 1x + b

OR

y = x + b

Now we must find b

To do that you must plug in one of the given points the line goes through in the x and y of the equation.

(-1, -5)

-5 = 1(-1) + b

-5 = -1 + b

-4 = b

(D) y = x - 4

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0
3 years ago
Read 2 more answers
What is the slope of the line parallel to the line 9y + 2x = 54?<br> Select one:
Paraphin [41]

Answer:

The slope is -2/9

Step-by-step explanation:

9y + 2x = 54

Solve for y to get the equation in the form

y = mx+b where m is the slope and b is the y intercept

Subtract 2x from each side

9y + 2x -2x = -2x+54

9y = -2x+54

Divide by 9

9y/9 = -2x/9 + 54/9

y = -2/9 x +6

The slope is -2/9

Parallel lines have the same slope

4 0
3 years ago
The domain for the following function is ____ ?
trasher [3.6K]

Answer:

All real numbers except x cannot equal 10.

Step-by-step explanation: the denominator can not equal to zero that is undefined.

5 0
3 years ago
The commercial for the new Meat Man Barbecue claims that it takes 10 minutes for assembly. A consumer advocate thinks that the c
Andrews [41]

Answer:

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes (P-value=0.009).

Step-by-step explanation:

We have to perform an hypothesis test on the mean.

The null and alternative hypothesis are:

H_0: \mu=10\\\\H_1: \mu \neq 10

The significance level is \alpha=0.05.

The test statistic t can be calculated as:

t=\frac{M-\mu}{s/\sqrt{N} } =\frac{11.2-10}{3.1/\sqrt{50} }=2.737

The degrees of freedom are:

df=N-1=50-1=49

The P-value (two-tailed test) for t=2.737 and df=49 is P=0.00862.

This P-value (0.009) is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes.

7 0
3 years ago
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