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77julia77 [94]
3 years ago
12

When factored completely, the expression 3x2 - 9x + 6 is equivalent to

Mathematics
2 answers:
Lunna [17]3 years ago
8 0
Let's see what the options look like when we multiply the expressions in brackets:

(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
<span>(1) (3x - 3)(x - 2))

3x2 +6x -3x +6// this is not correct

(2) (3x + 3)(x - 2) </span>


3x2-6x+3x-6//this is not correct

(3)

3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
- so this is not correct either
(4) 3(x - 1)(x - 2)
3(x2-2x - x + 2)
3(x2-3x +2)
3x2-9x +6 - well, here is our winner!






san4es73 [151]3 years ago
4 0
3x² - 9x + 6
3(x²) - 3(3x) + 3(2)
3(x² - 3x + 2)
3(x² - 2x - x + 2)
3(x(x) - x(2) - 1(x) + 1(2))
3(x(x - 2) - 1(x - 2))
3(x - 1)(x - 2)

The equation 3x² - 9x + 6 is equivalent to 3(x - 1)(x - 2).
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A line passes through the points (6, 2) and (5, 0). What is its equation in slope-intercept form?
Makovka662 [10]

Answer:

y = 2x - 10

Step-by-step explanation:

y2 - y1/ x2 - x1

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5 0
2 years ago
How To Round 17 5/8 To The Nearest Whole Number
Verdich [7]
<span><u><em>Answer:</em></u>
18

<u><em>Explanation:</em></u>
To round a number to the nearest whole number, we would check the fraction part:
If the fraction is <u>less than</u> 0.5, then we would simply ignore the fraction
If the fraction is <u>equal to or more than </u>0.5, then we would add 1 to the whole number and eliminate the fraction.

<u>In the given , we have:</u>
</span>17  \frac{5}{8}<span>.

The fraction part is </span>\frac{5}{8}<span> which is greater than 0.5
This means that we would add one to the whole number (round it up) and eliminate the fraction.
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Hope this helps :)</span>
5 0
3 years ago
While taking a ride in a hot-air balloon in Napa Valley, Francisco wonders how high he is. To find out, he chooses a landmark th
Delicious77 [7]

Answer:the height of the balloon is 670.244 feet

Step-by-step explanation:

The right angle triangle BLD represents the scenario.

h represents the height of the balloon.

We would apply trigonometric ratio to determine h.

Tan # = opposite side/adjacent side

Looking at triangle LCD,

# = 61 degrees

h = opposite side

x = adjacent side

Tan 61 = h/x

1.7321 = h/x

h = 1.7321x

Looking at triangle LBD,

# = 54 degrees

h = opposite side

x + 100 = adjacent side

Tan 54 = h/x + 100

1.3764 = h/x + 100

h = 1.3764(x + 100)

Therefore,

1.7321x = 1.3764(x + 100)

1.7321x = 1.3764x + 137.64

137.64 = 1.7321x - 1.3764x

137.64 = 0.3557x

x = 137.64/0.3557 = 386.955

h = 1.7321x = 386.955 × 1.7321

h = 670.244 feet

8 0
3 years ago
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