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2 years ago

For f(x) = 2x + 1 find each value. f(6) f(3) f(−5)

Mathematics

1 answer:

sertanlavr [38]2 years ago

7 0

F(6) = 2(6) + 1
= 12 +1
= 13

f(3) = 2(3) + 1
= 6 + 1
= 7

f(-5) = 2(-5) + 1
= -10 + 1
= -9

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5 1/2 divided by 3 1/3

Sophie [7]

Answer:

1 13/20

Step-by-step explanation:

5 1/2 ÷ 3 1/3

11/2 ÷ 10/3
11/2 x 3/10 = 33/20

33/20 = 1 13/20

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1 year ago

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Factorize this expression completely <br>using (a-b)² formula<br>3a²- 36a + 108

Novosadov [1.4K]

Answer:

$3a^2 - 36a + 108 = (\sqrt{3}a - 6\sqrt{3} )^2$

Step-by-step explanation:

$3a^2 = (\sqrt{3} a)^2\\108 = 9 \times 4 \times 3= 3^2 \times 2^2 \times 3 = (3\times2 \sqrt{3} )^2 = (6\sqrt{3})^2$

$so, a = \sqrt{3} a \ , \ b = 6\sqrt{3} \\\\(a - b)^2 = a^2 -2ab + b^2\\\\-36a = -2ab\\\\-36a = -2 \times \sqrt{3} a \times 6\sqrt{3}$

Therefore ,

$3a^2 - 36a + 108 = (\sqrt{3}a )^2 - 2(\sqrt{3}a \times 6\sqrt{3} ) + (6\sqrt{3} )^2 = (\sqrt{3}a - 6\sqrt{3} )^2$

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2 years ago

Jace invested $65,000 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals

Tomtit [17]

Answer:

15 years

Step-by-step explanation:

93400=65000*e^(.025x)

x=14.5 which rounds to 15

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2 years ago

A fair coin is tossed 14 times, what is the probability of exactly 6 heads

Mrrafil [7]

Answer:

42.85% or 6/14

Step-by-step explanation:

6 / 14 = 0.428571428571

0.428571428571 * 100 ~ 42.85%

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3 years ago

50 POINTS!! PLEASE ASAP. The director of a local ballet company needs to print the programs for the next performance. Janet’s Pr

Maru [420]

For this case we find the expression that represents the cost of each printing press.

x: Be the variable that represents the number of programs to print

So:

Cost 1: Janet’s Print Shop

$C (x) = 0.25x + 35$

Cost 2: The Printing Press

$C (x) = 0.15x + 50$

If we want to find the number of programs for which the costs are the same, then we equate both equations:

$0.25x + 35 = 0.15x + 50\\0.25x-0.15x = 50-35\\0.1x = 15\\x = \frac {15} {0.1}\\x = 150$

Thus, for 150 programs the cost is the same.

Answer:

For 150 programs the cost is the same.

5 0

3 years ago

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