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nata0808 [166]
3 years ago
13

What is the answer to this question

Mathematics
1 answer:
inn [45]3 years ago
8 0

Answer:

x > -440

Step-by-step explanation:

1/8x + 25 < 80 + 1/4x

1/8x < 55 + 1/4x

-1/8× < 55

x > -440

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Hey, I need help with questions 1 and 2, if anyone can help, please? thanks!
Eva8 [605]

The correct works are:

  • Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3.
  • \frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

<h3>Function Notation</h3>

The function is given as:

Blue(s) = 2s^2 + 3

The interpretation when Steven is asked to calculate Blue(s + h) is that:

Steven is asked to find the output of the function Blue, when the input is s + h

So, we have:

Blue(s + h) = 2(s + h)^2 + 3

Evaluate the exponent

Blue(s + h) = 2(s^2 + 2sh + h^2) + 3

Expand the bracket

Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

So, the correct work is:

Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

<h3>Simplifying Difference Quotient</h3>

In (a), we have:

Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

Blue(s) = 2s^2 + 3

The difference quotient is represented as:

\frac{f(x + h) - f(x)}{h}

So, we have:

\frac{Blue(s + h) - Blue(s)}{h} = \frac{2s^2 + 4sh + 2h^2 + 3 - 2s^2 - 3}{h}

Evaluate the like terms

\frac{Blue(s + h) - Blue(s)}{h} = \frac{4sh + 2h^2}{h}

Evaluate the quotient

\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

Hence, the correct work is:

\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

Read more about function notations at:

brainly.com/question/13136492

4 0
2 years ago
Need help Write 6/10 as a percent, decimal
gayaneshka [121]
6 divided by 10 would be 60 percent and .60 as a decimal
4 0
3 years ago
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PLEASE HELP WITH THIS ONE QUESTION
AnnyKZ [126]

Answer:

The solution is in the attached file

6 0
3 years ago
A satellite is orbiting the Earth at the rate of 25 kilometers per minute. How far will it travel in two hours? a. 3000 kilomete
topjm [15]
3000 kilometers
hope this helps :)
8 0
3 years ago
Read 2 more answers
Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of N to the nearest whole degree? 35° 45° 55° 65°
oksano4ka [1.4K]

Answer:

The measure of angle N is 55°

Step-by-step explanation:

we know that

the law of cosines established

a² = b² + c² – 2*b*c*cos(A)

so

In this problem we have

a=ML=5.74 units

b=LN=4 units

c=MN=7 units

∠A=∠N=?

see the attached figure to better understand the problem

a² = b² + c² – 2*b*c*cos(A)------> cos (A)=[b²+c²-a²]/[2*b*c]

cos (A)=[4²+7²-5.74²]/[2*4*7]------> 0.57236

A=arc cos (0.57236)--------> A= 55°

therefore

The measure of angle N is 55°

3 0
3 years ago
Read 2 more answers
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