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DaniilM [7]
3 years ago
6

What are the factors of 2x2 + 3x – 54? Select two options. 2x – 9 2x – 6 2x + 6 x – 6 x + 6

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

Answer:

2x − 9 and x + 6

Step-by-step explanation:

2x² + 3x − 54

Factor using the AC method.

2 × -54 = -108

Factors of -108 that add up to 3 are +12 and -9.

Divide by 2 and reduce: 12/2 = 6/1, -9/2 = -9/2.

Therefore, the factors are x + 6 and 2x − 9.

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If: AB= 2x + 6, AC = 51, and BC=6x +5, Find BC.
Marina86 [1]

Answer:

<h3>Assuming A, B, and C are collinear and B is between A and C then BC = 35 </h3>

Step-by-step explanation:

Assuming A, B, and C are collinear and B is beetween A and C

AB + BC  = AC

2x + 6 + 6x + 5 = 51

 8x + 11 = 51

    8x = 40

     x = 5

BC = 6x+5 = 6×5 + 5 = 35

3 0
3 years ago
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Vedmedyk [2.9K]

Answer:

D

Step-by-step explanation:

in y > 2x equation, the line will be dashed and u will shade above the line

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3 years ago
Teams with varying numbers of players are playing a group card game. The time taken by each team to complete one game is given i
12345 [234]

Answer:

  • C. negative linear association

Step-by-step explanation:

<u>We have ordered pairs:</u>

  • (1, 32), (2, 26), (3, 20), (4, 14), (5, 8)

<u>Looking at the sequence of y-values:</u>

  • 32, 26, 20, 14, 8

We see it is the arithmetic progression with common difference of -6.

It means the function representing this relationship is linear.

Correct option is C.

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3 years ago
Any tips on how to actually grow taller
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Read 2 more answers
An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been
deff fn [24]

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

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3 years ago
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