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frozen [14]
3 years ago
10

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

Mathematics
2 answers:
adoni [48]3 years ago
8 0

Answer:

x^3 -3x + 2

Step-by-step explanation:

(x - 1)(x - 1) =

x^2 -2x + 1 (x+2) =

x^3 + 2x^2

      -2x^ - 4x

                  x + 2

----------------------------

x^3 -3x + 2

Tasya [4]3 years ago
4 0

Answer:

(x - 1)(x + 2)(x - 1)=(x-1)^{2}(x+2)

Step-by-step explanation:

Use the product rule x^{a} x^{b}=x^{a+b}

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Find the volume of the composite solid.<br><br> NO LINKS PLEASE!
lidiya [134]

Answer:

156 ft^3

Step-by-step explanation:

1) find the volume of the parallelepiped:

V = side^2 x height = 6^2 x 3 = 108 ft^3

2) find the base area of the pyramid:

base area = side^2 = 6^2 = 36 ft^2

3) find the volume of the pyramid:

V = (base area x height)/3 = (36 x 4)/3 = 48 ft^3

4) find the total volume

V = 108 + 48 = 156 ft^3

5 0
3 years ago
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A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
myrzilka [38]

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle =

A = \pi r^2

where r is the radius of the circle.

Putting values, we get,

1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}

Thus, the sprinkler can spread water 18 feet away.

6 0
3 years ago
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Hi who can help me do this 2quetion,I will mark brainlest ​
hodyreva [135]

Step-by-step explanation:

8.  log_{10}(2.15)   = 0.332 \: then \:   log_{10}(21500)   = ..... \\  log(21500)  =  log(2.15 \times 10000)  \\   =  log(2.15)  +  log(10000)  \\   = log_{10}(2.15)  +  log_{10}( {10}^{4} )  \\  = 0.332 + 4 log_{10}(10)  \\  = 0.332 + 4(1) \\  log_{10}(21500)  = 4.332

9. log(2)=a, log(3)=b, then log(36)=______

log(36) = log(6*6) = log(6) + log(6)

log(36)= log(6) + log(6)

log(36) = log(3*2) + log(3*2)

log(36) = (log(3) + log(2)) + (log(3) + log(2))

log(36) = (a + b) + (b + a)

log(36) = a + b + b + a

log(36) = 2a + 2b

5 0
2 years ago
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Rewrite the following equation in exponential form.
ira [324]

Answer:

5² = 25

Step-by-step explanation:

log5 25 = 2

log(b) (x) = (y)

make b^(y) = (x)

5² = 25

I hope this helps!

5 0
2 years ago
How do you break apart the factor 42 using place values
VLD [36.1K]

Let's break apart 42.

The 4 is in the tens. The 2 is in the ones.

                           Place Value starting from Thousands

                            Thousands  Hundreds  Tens  Ones

                            _________ ________ ____ _____

                                                                       4          2

So this is how we break up numbers using place value.

Hope this helps!

5 0
3 years ago
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