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3 years ago

Any idea on this please help

Mathematics

2 answers:

qwelly [4]3 years ago

8 0

I think it might be 72+0?

nordsb [41]3 years ago

4 0

The roots of a polynomial equation are the values of x that you can plug in so the function is equal to 0. To find the roots, you would want to factor the polynomial and set the factored form equal to zero.

1) First factor the polynomial. The factored form of is (x + a)(x + b), where a and b are two numbers that multiply to -72 and add up to 1. By testing numbers that are factors of -72, you can find that 8 x 9 = 72, meaning that either 8 or 9 has to be negative to get -72. But which one of those is negative?

Since you want the two numbers to add up to 1, that means 9 must be positive and 8 must be negative, since -8 + 9 = 1! That makes a and b, 9 and -8. Your factored form would be (x - 8)(x + 9) = 0.

2) Now you want to find values of x where the function is equal to 0. Remember that anything multiplied by 0 is equal to zero. That means you can set each factor, (x - 8) and (x + 9), equal to 0 to find the two values of x (aka the roots)!
Factor 1:x - 8 = 0x = 8
Factor 2:x + 9 = 0x = -9
Your two roots are 8 and -9.
--------
Answer: 8 and -9

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A consumer products company found that 44% of successful products also received favorable results from test market research, w

Korolek [52]

Answer:

0.80
0.289
0.20
0.711

Step-by-step explanation:

Given:

$P(S\cap F)=0.44\\P(S\cap F^{c})=0.13\\P(S^{c}\cap F^{c}) = 0.32\\P(S^{c}\cap F) = 0.11$

The rule of total probability states that:

$P(A) = P(A\cap B) + P(A\cap B^{c})$

Compute the individual probabilities as follows:

$P(S) = P(S\cap F) + P(S\cap F^{c})\\=0.44+0.13\\0.57$

$P(S^{c}) = 1 - P(S)\\=1-0.57\\=0.43$

$P(F) = P(S\cap F) + P(S^{c}\cap F)\\=0.44+0.11\\=0.55$

$P(F^{c})=1-P(F)\\=1-0.55\\=0.45$

Conditional probability of an event A given B is:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Compute the value of $P(S|F)$ :

$P(S|F)=\frac{P(S\cap F)}{P(F)}\\=\frac{0.44}{0.55}\\=0.80$

Compute the value of $P(S|F^{c})$

$P(S|F^{c})=\frac{P(S\cap F^{c})}{P(F^{c})}\\=\frac{0.13}{0.45}\\=0.289$

Compute the value of $P(S^{c}|F)$

$P(S^{c}|F)=\frac{P(S^{c}\cap F)}{P(F}\\=\frac{0.11}{0.55}\\=0.20$

Compute the value of $P(S^{c}|F^{c})$

$P(S^{c}|F^{c})=\frac{P(S^{c}\cap F^{c})}{P(F^{c})}\\=\frac{0.32}{0.45}\\=0.711$

3 0

3 years ago

Please help me to solve this . Thank you so much .

worty [1.4K]

Answer:

a) N

b) L

c) area I

d) area II

e) area VI

Step-by-step explanation:

a) the points that are 2cm from R are Q, N, M, S. Then, points that are 4cm from P are K, N, R. So, the only one point that works for both is N.

b) the points that are >2cm from R are P, K, L, T. We do not count those are exactly 2cm from R. Then, points that are 4cm from T are R, M, L. Ans is L.

c) <4cm from P, are area I and II. Then area that are >2cm from R are I, VI, and V. So, the only area that works for both is I.

d) <2cm from R, are areas II, III, and IV. Then, <4cm from P, are areas I and II. So, the only one works for both is area II.

e) >4cm from T, are areas I, II, III, VI. Then, >4cm from P, are III, IV, V, VI. Finally, >2cm from R, are areas I, VI, V. The only one that works for all three conditions is area VI.

5 0

3 years ago

Find the measure of angle 2. A.) 15° B.) 45° C.) 60° D.) 30°

Alik [6]

Answer:

D.) 30°

Step-by-step explanation:

Hope it helps you in your learning process.

8 0

3 years ago

Read 2 more answers

Pattern A: start with 12 and add 12 Pattern B: start with 4 and add 2 Which statement best describes the relationship between th

Reptile [31]

Answer:

Each term in Pattern A is equals to 6 times the value of corresponding term in Pattern B and subtract 12

Step-by-step explanation:

Given - Pattern A: start with 12 and add 12

Pattern B: start with 4 and add 2

To find - Which statement best describes the relationship between the

corresponding terms of Patter A and Pattern B.

Proof -

To find the relationship between the Pattern a and pattern B , firstly we have to find few terms of both the Patterns , so that we can see how the digits of both the Patterns are realted

Now,

For Pattern A :

1st digit = 12

2nd digit = 12 + 12 = 24

3rd digit = 24 + 12 = 36

4th term = 36 + 12 = 48

5th term = 48 + 12 = 60

and so on

Now,

For Pattern B :

1st digit = 4

2nd digit = 4 + 2 = 6

3rd digit = 6 + 2 = 8

4th term = 8 + 2 = 10

5th term = 10 + 2 = 12

∴ we get

Terms of Pattern A : 12, 24, 36, 48, 60, ....

Terms of Pattern B : 4, 6, 8, 10, 12, ....

As we can see that

4×6 - 12 = 12

6×6 - 12 = 24

8×6 - 12 = 36

10×6 - 12 = 48

12×6 - 12 = 60

The pattern is - Multiply by 6 in Pattern B and after that subtract by 12 , we get Pattern A.

Term in Pattern A = 6×corresponding term of Pattern B - 12

i.e. , we get

Each term in Pattern A is equals to 6 times the value of corresponding term in Pattern B and subtract 12

6 0

3 years ago

Express this rate as a unit rate: $50 for 4 days of work. Note: You must label your unit rate.

Andrews [41]

Answer:

12.50 dollars per day

Step-by-step explanation:

This is a fraction equal to

50 dollars ÷ 4 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 4

50 dollars ÷ 4

4 days ÷ 4

12.5 dollars

1 day

12.5 dollars

day

= 12.5 dollars per day

7 0

3 years ago