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2 years ago

Expand And Simplify The Following:

2 answers:

8 0

For all the questions, we will be using the FOIL pattern.
1. $(x+3)(x-3)(3x+2)$
$(x^2-3x+3x-9)(3x+2)$
$(x^2-9)(3x+2)$
$3x^3+2x^2-27x-18$
2. $(2x+1)(x-2)(x+3)$
$(2x^2-4x+x-2)(x+3)$
$(2x^2-3x-2)(x+3)$
$2x^3+3x^2-11x-6$
3. $(x-3)(2x+1)(3x-2)$
$(2x^2+x-6x-3)(3x-2)$
$(2x^2-5x-3)(3x-2)$
$6x^3-19x^2+x+6$
Hope this helped!

zloy xaker [14]2 years ago

6 0

I'm going to simp. them one by one
- (x+3)(x-3)(3x+2)
- (x²-9)(3x+2)
- (x³+2x²-27x-18)
-x³-2x²+27x+18

- (2x+1)(x-2)(x+3)
- (2x²-4x+x-2)(x+3)
- (2x²-3x-2)(x+3)
- [x(2x²-3x-2)+3(2x²-3x-2)]
- (2x³-3x²-2x)+(6x²-9x-6)
- (2x³+3x²-11x-6) (combined like terms)
-2x³-3x²+11x+6

- (x-3)(2x+1)(3x-2)
- (2x²+x-6x-3)(3x-2)
- (2x²-5x-3)(3x-2)
- [3x(2x²-5x-3)-2(2x²-5x-3)]
- (6x³-15x²-9x)+(4x²+10x+6)
- (6x³-11x²+x+6)
-6x³+11x²-x-6

All you need w/ these problems is a bit of patience and to know the foil-ing process and distribution. :D

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If you take a number, times by 8 then add 6. You get the same as if you took the number multiply it by 3 then subtract 7. What i

Gennadij [26K]

Answer:

x = -13/5

Step-by-step explanation:

let x be the number

8x + 6 = 3x - 7

move variables to left and numbers to right

8x - 3x = - 7 -6

5x = -13

x = -13/5

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2 years ago

Plz Help, and solve. Show your work. I will give Brainliest. A - 7 = -13 solve and show your work 10X - 8 = 9X + 8 Can a right t

likoan [24]

Answer:

A - 7 = -13

Add 7

A = -6

10X - 8 = 9X + 8

Add 8

10X = 9X + 16

Subtract 9X

X = 16

In a right triangle, where a and b are the shorter sides, and c is the longer side a^2+b^2=c^2

Thus, plug in the values.

12^2+16^2=20^2

144+256=400

400=400.

Because the equation is true, 12, 16, and 20 can be a right triangle

Hope it helps <3

3 0

3 years ago

Read 2 more answers

1. Find the 90% Cl for the population mean if sample

Elden [556K]

Answer:

The answer is below

Step-by-step explanation:

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

$E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47$

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)

mean (μ) = 23, SD(σ) = 12, sample size (n) = 45

Given that the confidence level (c) = 88% = 0.88

α = 1 - c = 0.12

α/2 = 0.06

The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

The margin of error (E) is given as:

$E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8$

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)

8 0

2 years ago

Pls help Given: △ABC, CM⊥ AB, BC = 5, AB = 7 CA = 4 sqrt(2) Find: CM

babymother [125]

Answer:

The general plan is to find BM and from that CM. You need 2 equations to do that.

Step One

Set up the two equations.

(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32

BM^2 + CM^2 = 5^2 = 25

Step Two

Subtract the two equations.

(7 - BM)^2 + CM^2 = 32

BM^2 + CM^2 = 25

(7 - BM)^2 - BM^2 = 7 (3)

Step three

Expand the left side of the new equation labeled (3)

49 - 14BM + BM^2 - BM^2 = 7

Step 4

Simplify And Solve

49 - 14BM = 7 Subtract 49 from both sides.

-49 - 14BM = 7 - 49

- 14BM = - 42 Divide by - 14

BM = -42 / - 14

BM = 3

Step Five

Find CM

CM^2 + BM^2 = 5^2

CM^2 + 3^2 = 5^2 Subtract 3^2 from both sides.

CM^2 = 25 - 9

CM^2 = 16 Take the square root of both sides.

sqrt(CM^2) = sqrt(16)

CM = 4 < Answer

Step-by-step explanation:

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2 years ago

the ratio of the angle measures of a triangle are 3:3:4 what angle measures the triangles classification

TEA [102]

Step-by-step explanation:

sum of the ratio=3+3+4=10

now,

angle I = 3/10×180=54

angle II= 3/10×180=54

angle III=4/10×180=72

that shows th given triangle is isoceles

6 0

2 years ago