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3 years ago

F(x) = 3x + 5 g(x) = 4x? - 2 h(x) = x² – 3x + 1 Find f(x) + g(x) – h(x)

Mathematics

1 answer:

inysia [295]3 years ago

3 0

Answer:

3x²+6x+2

Step-by-step explanation:

f(x)+g(x)-h(x)

=(3x+5)+(4x²-2)-(x²-3x+1)

=3x+5+4x²-2-x²+3x-1

=6x²+2+3x

=3x²+6x+2 (rearrange)

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An expression is shown below (x^4/3)(x^2/3)

Nitella [24]

$( x^\frac{4}{3}) (x^ \frac{2}{3}) = x^{ \frac{4}{3} + \frac{2}{3} }= x ^\frac{6}{3} = x^2$

7 0

3 years ago

Read 2 more answers

5 1/2 + 3 4/5 + 1 1/4 =

ratelena [41]

Answer:

$10\frac{11}{20}$

Step-by-step explanation:

$5\frac{1}{2} + 3\frac{4}{5} + 1\frac{1}{4}$

1.Find the LCM(Least Common Multiple).

That would be 20.

2.Multiply so all denominators are equal.

$5\frac{10}{20} + 3\frac{16}{20} + 1\frac{5}{20}$

3. Add

$9\frac{31}{20}$

4. Simplify

$10\frac{11}{20}$

6 0

1 year ago

The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.

podryga [215]

Answer:

x = 12 , y = 10

Step-by-step explanation:

Let x , y are two numbers.

x > y

1 ) Three times the greater is 18 times their

difference

3x = 18( x - y )

x = 6( x - y )

x = 6x - 6y

6y = 5x

y = 5x/6 ——-( 1 )

2 ) 4 times the smaller is 4 less than twice

the sum of the two

4y + 4 = 2 ( x + y )

2y + 2 = x + y

y = x -2 ——( 2 )

From ( 1 ) and ( 2 ) ,

5x/6 = x -2

( 5x /6 ) - x = -2

( 5x - 6x ) /6 = -2

-x = -12

x = 12

Put x = 12 in equation ( 2 ) , we get

y = 12 - 2

y = 10

Therefore ,

x = 12 , y = 10

7 0

2 years ago

What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?

posledela

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

$\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\$

$Since\ \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0$

5 0

2 years ago

The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. Th

e-lub [12.9K]

Answer:

95% of monthly food expenditures are between $110 and $190.

Step-by-step explanation:

Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.

To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?

Solution :

At 95% of the data is between two standard deviation to left and right of the mean is given by,

To the left side, $\bar{x}-2\sigma$