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eimsori [14]
2 years ago
9

Factoring with Diagrams

Mathematics
1 answer:
Finger [1]2 years ago
7 0

Answer:

(x - 7)(x - 4)(x + 4).            

Step-by-step explanation:

A(x) = x3 – 7x² – 16x +112

Dividing by x-7:

      x^2  - 16               <-------- Quotient

     -----------------------------

x-7)x^3 - 7x^2 - 16x + 112

     x^3 - 7x^2

                    0 - 16x + 112

                        - 16x + 112

                          ..............

so A(x) = (x - 7)(x^2 - 16)       x^2 - 16 is the difference of 2 squares so we have:

(x - 7)(x - 4)(x + 4).

Checking by expanding the brackets:  

(x - 7)(x - 4)(x + 4)

= x(x - 4)(x + 4) - 7(x - 4)(x + 4)

= x(x^2 - 16) - 7(x^2 - 16)

= x^3 - 16x - 7x^2 + 114

= x^3 - 7x^2 - 16x + 112          

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Find the measure of angle A. This is for my math class, and I’ve been stuck on this for a while. Please help!
Kruka [31]

Answer:

20°

Step-by-step explanation:

The sum of angles in a ∆ = 180°

Therefore, (17x - 1) + (3x - 4) + 25 = 180

Use this expression to find the value of x, then find the measure of angle A.

17x - 1 + 3x - 4 + 25 = 180

17x + 3x - 1 - 4 + 25 = 180

20x + 20 = 180

Subtract 20 from both sides

20x + 20 - 20 = 180 - 20

20x = 160

Divide both sides by 20

\frac{20x} = \frac{160}{20}

x = 8

Find measure of angle A.

Angle A is given as 3x - 4

Plug in the value of x and solve

A = 3(8) - 4 = 24 - 4 = 20

8 0
3 years ago
Investing is a game of chance. Suppose there is a 36% chance that a risky stock investment will end up in a total loss of your i
Sergio039 [100]

Answer: P(x ≥ 1) = 0.893

Step-by-step explanation:

We would assume a binomial distribution for the outcome of the investment. The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - r) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 36% = 36/100 = 0.36

q = 1 - p = 1 - 0.36

q = 0.64

n = 5

Therefore,

P(x ≥ 1) = 1 - P(x = 0)

P(x = 0) = 5C0 × 0.36^0 × 0.64^(5 - 0)

P(x = 0) = 1 × 1 × 0.107

P(x = 0) = 0.107

P(x ≥ 1) = 1 - 0.107 = 0.893

3 0
3 years ago
Write 3,801,440 in expanded form.
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Three million, eight hundred thousand one, four houndred fourty four
6 0
3 years ago
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What is the sum of 10/12and 11/12? Make sure to show all work to receive full credit!
sergiy2304 [10]

Answer:

1\frac{3}{4}

Step-by-step explanation:

\frac{10}{12} +\frac{11}{12} \\\\\frac{21}{12} \\\\1\frac{9}{12} \\\\1\frac{3}{4}

7 0
3 years ago
Help as soon as possible please
marta [7]

(3x + 5)° + (10x - 7)° = 180°

13x + (-2) = 180

13x = 180 + 2

13x = 182

x = 14

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∠TRS = 10 * 14 - 7 = 140 - 7 = 133°

6 0
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