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siniylev [52]
3 years ago
6

How do I solve this? How do you get this answer?I need this by tomorrow someone please help!!

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0
M(x) = x² - 4x + 3
m(x) = x² - x - 3x + 3
m(x) = x(x - 1) - 3(x - 1)
m(x) = (x - 3)(x - 1)

(x - 3)(x - 1) = 0
x - 3 = 0 ∧ x - 1 = 0
<u>x = 3 ∧ x = 1</u>

or 

m(x) = x² - 4x + 3
Δ = (-4)² - 4 · 1 · 3
Δ = 16 - 12 = 4
√Δ = √4
√Δ = 2

x = (4 - 2)/2 ∧ x = (4 + 2)/2
x = 2/2 ∧ x = 6/2
<u>x = 1 ∧ x = 3</u>
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9w-4w+6&lt;1+5w supposed to combine like terms
Mariana [72]

Answer/Step-by-step explanation:

Given:

9w - 4w + 6 < 1 + 5w

To solve, collect like terms.

Subtract 5w from both sides

9w - 4w + 6 - 5w < 1 + 5w - 5w

9w - 4w - 5w + 6 < 1

6 < 1 (incorrect)

The inequality given has no solution or an information is missing.

6 0
3 years ago
Based on the tree diagram below what is the probability that the test for lice returns a false positive
Neporo4naja [7]

Answer:

0.0492

Step-by-step explanation:

Based on the tree diagram we need to tell the the probability that the test for lice returns a false positive. False positive means that the student has no lice but still the test shows a positive result.

So for this we have to first look for the branch, from the starting node, which shows that student has no lice. From the starting point, the upper branch represents the students that have lice and lower branch represents the students who have no lice. So, we will consider the lower branch with probability mentioned as 0.82

Now, the lower branch is divided into two branches further. We have to look for the branch which shows positive test result. This would be the upper branch with probability mentioned as 0.06.

The overall probability of this event is mentioned at the end of the branch which is 0.0492

This is the probability of the combined event: Student has no lice but tests shows positive result which is the False positive.

Thus, the probability that the test for lice returns a false positive is 0.0492

4 0
3 years ago
shirley purchased a plot of land for $19,500. the land appreciates about 3.9% each year. what is the value of the land after 5 y
romanna [79]

Answer:

$23,302.50

Step-by-step explanation:

4 0
3 years ago
Hii! I need some help, would anyone mind helping me?
Kisachek [45]

Step-by-step explanation:

{x}^{2}  - 14x  - 25 {y}^{2}  + 100y = 76

Factor by grouping,

( {x}^{2}  - 14x)   - (25 {y}^{2}  - 100y) = 76

Complete the square, with the x variables,

( {x}^{2}  - 14x + 49)  - (25 {y}^{2}  - 100y) = 125

Factor out 25 for the y variables

( {x}^{2}  - 14x + 49) - 25( {y}^{2}  - 4y) = 125

Complete the square

( {x}^{2}  - 14x + 49) - 25( {y}^{2}  - 4y + 4) = 25

Simplify the perfect square trinomial

(x - 7) {}^{2}  - 25(y - 2) {}^{2}  = 25

Make the right side be 1 so divide everything by 25.

\frac{(x - 7) {}^{2} }{25}  -  (y - 2) {}^{2}  = 1

Here our center is (7,2).

8 0
2 years ago
Ted and Maggie solved the following equation, (3x - 2)(x + 5) = 0. Their
VLD [36.1K]

Answer:

maggie

Step-by-step explanation:

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