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3 years ago

Expand (x+3)(x+2) And can you explain how to do it

2 answers:

5 0

Just like the other person said, you distribute. An easy way to remember how is the FOIL method. First, Outside, Inside, Last.
So for F, you'd multiply x and x, making x^2. For O, you'd multiply the first x and the 2, which gives you 2x, then for I, multiply the 3 and the second x, and you get 3x from that. Finally, for the L, multiply the 3 and 2, which is 6.
When the whole thing is "foiled," you end up with
x^2 + 2x + 3x + 6.
To put it in its simplest form, combine like terms. In this case, the 2x and 3x.
When you're finished, the expanded form should look like
x^2 + 5x + 6.
I hope that helped!

DanielleElmas [232]3 years ago

3 0

You multiply the two together
x times x equals x squared ( x^2) the x times 2 which equals 2x, then multiply the 3 and x to get 3x and multiply 3 times 2 = 6
so now your problem looks like x[tex] x^{2} + 2x +3x +6 ( now combine like terms) which gives you x^{2} +5x +6, and thats the answer

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GIVEN BRAINLIEST, 5 STARS, + THANKS

Olin [163]

Answer:

Option B. Side YZ is the same length as side Y'X'.

Step-by-step explanation:

At first the image is for the given question

The true graph is the attached figure.

As shown at the attached figure.

XYZ is reflected across the y-axis and then translated down 6 units to form X'Y'Z'.

So, X' is the image of point X

Y' is the image of point Y

Z' is the image of point Z

And ΔXYZ ≅ ΔX'YΔ'Z'

And the corresponding length are congruent.

We will check the options:

A. X has the same measure as X'. ⇒ True

B. Side YZ is the same length as side Y'X'. ⇒ Wrong

Because YZ will be translated to Y'Z'

C. Z has the same measure as Z'. ⇒ True

D. Side XZ is the same length as side X'Z'. ⇒ True

So, The answer is option B. Side YZ is the same length as side Y'X'.

6 0

3 years ago

Plz help me with this

Marrrta [24]

Answer: c) 3

Step-by-step explanation:

Plug in y = -9 and the given x-value to see if it makes a true statement.

a) -4.5 falls in the piecewise function x < -3 --> y = -x

y = -x

-9 = -(-4.5)

-9 = 4.5 FALSE

b) -3 falls in the piecewise function -3 ≤ x ≤ -2 --> y = 2x

y = 2x

-9 = 2(-3)

-9 = -6 FALSE

c) 3 falls in the piecewise function x > -2 --> y = -x²

y = -x²

-9 = -(-3)²

-9 = -9 TRUE

d) 9 falls in the piecewise function x > -2 --> y = -x²

y = -x²

-9 = -(9)²

-9 = -81 FALSE

4 0

3 years ago

Find the domain of h(x)= 1/ 3x^2-15x

Schach [20]

Hello!

To find the domain of the function h(x), we need to find the values of x where it is undefined.

We can begin by factoring the denominator of the rational function, h(x).

h(x) = 1/(3x² - 15x) (factor 3x from the binomial)

h(x) = 1/3x(x - 5)

After factoring the denominator, apply the zero product property.

3x = 0 (divide both sides by 3)

x = 0

x - 5 = 0 (add 5 to both sides)

x = 5

The values of 0 and 5 cause h(x) to be undefined. The function h(x) comes from negative infinity to zero, where there is an asymptote. Also, from zero to five, there is also an asymptote. Finally, the function h(x) also goes to infinity from five.

So therefore, the domain of the function h(x) is: (-∞, 0) ∪ (0, 5) ∪ (5, ∞).

8 0

3 years ago

Read 2 more answers

How do I multiply at 9/25×1/6

bekas [8.4K]

Answer:

3/50

Step-by-step explanation:

It's not as hard as you might think! You can just multiply the denominator and numerators separately. So in this case, you just need to do 9*1 and 25*6. This means that the answer is just 9/150, simplify it and you get, 3/50!

4 0

3 years ago

What is 30.5% as a fraction in simplest form

QveST [7]

I believe that 30.5 as a fraction is 30 and 1 half but don't take my word

7 0

3 years ago