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3 years ago

Evaluate 3(a + b + c)2 for a = 2, b = 3, and c = 4. 54 243 729

Mathematics

2 answers:

bearhunter [10]3 years ago

7 0

6(9) is equal to 54
Answer: 54

allsm [11]3 years ago

7 0

First, do a+b+c.
a+b+c=2+3+4
=9

Then, multiply that answer by 3:
3x9=27

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A car travels 294 miles on a full tank of gas. The car's gas tank holds 14 gallons. How many yards per gallon can this car trave

sattari [20]

294 / 14 = 21 miles per gallon
21 * (5280 ft per mile / 3 yards per foot) =
36,960 yards per gallon

4 0

3 years ago

Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

4 0

3 years ago

PLEASE HELP I WILL GIVE BRAINLIEST:)

DedPeter [7]

Answer: uhhhh try the first one

Step-by-step explanation:

5 0

2 years ago

Solve log4 (x+3)- log4 (x+2)≥3/2 Please help

mart [117]

Https://web2.0calc.com/ try this or

this http://rational-equations.com/in-rational-equations/graphing-equations/distributive-property-simplif...
they are math calculator..... hope this helps

4 0

2 years ago

The income distribution in a county is a normal distribution with a mean income of $10,000. The top 2.5% of the wage earners ear

earnstyle [38]

Answer:

84% of the wage earners earn less than $14,000 each.

Step-by-step explanation:

The Empirical Rule (68-95-99.7%)-

According to this around 95% of the data will fall within two standard deviations of the mean.

As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.

As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.

i.e $2\sigma=18000-10000=8000$