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3 years ago

What is the solution to the inequality 28 > 4 – 2p?

Mathematics

1 answer:

Schach [20]3 years ago

4 0

Answer:

-12 < p

Step-by-step explanation:

28 > 4 – 2p

Subtract 4 from each side

28-4 > 4-4 – 2p

24 > -2p

Divide each side by -2, remembering to flip the inequality

24/-2 < -2p/-2

-12 < p

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How does the graph of f(x)=5 cos(1/2x)-2 differ from the graph of g(x)=5 cos(x)-2

crimeas [40]

F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2

The period for a cosine function is 2pi/k
In the equation the k is located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.

In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .

7 0

3 years ago

Read 2 more answers

Keisha earns $5.50 per hour for yard work.She also charges a $2.00 fee for supplies

Wewaii [24]

Answer/Step-by-step explanation:

Earns per hour: $5.50

1 time fee : $2

Total = $35

( h - hours)

Equation :

5.50h + 2 = 35

First step is to suntract 2 from each side:

5.50h + 2 - 2 = 35 - 2

Simplify

5.50h = 33

Divide each side by 5.50 to seprate h from the numbers:

5.50h/5.50 = 33/ 5.50

H = 6

ANSWER: 6 hours

5 0

3 years ago

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In-s [12.5K]

Using properties of the logarithm, you can rearrange the integrand as

$\dfrac12\ln(2x^2)=\dfrac{\ln2+\ln x^2}2=\dfrac{\ln2+2\ln x}2=\ln\sqrt2+\ln x$

Then recall that the integral of $\ln x$ is

$\displaystyle\int\ln x\,\mathrm dx=x(\ln x-1)+C$

(or you can find that out by integrating by parts) and so

$\displaystyle\int\frac12\ln(2x^2)\,\mathrm dx=(\ln\sqrt2)x+x(\ln x-1)+C$

5 0

3 years ago

The numbers of home runs that Barry Bonds hit in the first 18 years of his major league baseball career are listed below. Find t

vekshin1

Answer:

Mean = 35.56

Median = 35.5

Step-by-step explanation:

Given the data:

16 25 24 19 33 25 34 46 37

33 42 40 37 34 49 73 46 45

Reordered data :

16, 19, 24, 25, 25, 33, 33, 34, 34, 37, 37, 40, 42, 45, 46, 46, 49, 73

The mean = ΣX / n

n = sample size ; ΣX = sum of values

The mean = 658 / 18

The mean = 36.56

The Median = 1/2(n+1)th term

1/2(18+1)th term = 1/2(19)th term = 9.5 term

Median = (9th + 10th) / 2 = (34 + 37) / 2 = 35.5

3 0

3 years ago

100 Points and brainy if answered correctly ASAP!!!!

aleksley [76]

The very last one, -2 < x < 1

7 0

3 years ago