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Mariana [72]
3 years ago
10

The Estrada family has established for cable internet service since the pandemic. When establishing the service, there was an in

itial fee as well as a monthly fee on the contract. c(m)=35m+40 represents this scenario. How much has the Estrada family paid for internet service if they began service in March 2020?​
Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Given:

When establishing the internet service, there was an initial fee as well as a monthly fee on the contract.

The given function is:

c(m)=35m+40

To find:

The cost of internet service if they began service in March 2020.

Solution:

We have,

c(m)=35m+40

We need to find the internet service cost for the first month. So, substitute m=1 in the given function.

c(1)=35(1)+40

c(1)=35+40

c(1)=75

Therefore, the cost of internet service is 75 if they began the service in March 2020.

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If all the angles are 60 degrees, this is an equilateral triangle. This means that all the sides have the same lengths. Whatever length side a is, b and c have the same length. 

Hope this helps :)
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Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture
ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0
2 years ago
Whats is 0 divided by 0
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Answer:

0

Step-by-step explanation:

Imagine that you have zero cookies and you split them evenly among zero friends. How many cookies does each person get? See? It doesn't make sense. And Cookie Monster is sad that there are no cookies, and you are sad that you have no friends.

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3 years ago
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How do i figure out 9 1/6 - 8 5/6<br> and 10 3/4 - 6 4/4?
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Answer:

1) 9\frac{1}{6}-8\frac{5}{6}=\frac{1}{3}

2) 10\frac{3}{4}-6\frac{4}{4}=3\frac{3}{4}

Step-by-step explanation:

You can convert he mixed numbers to improper fractions:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained to the numerator.

3. The denominator does not change.

Then:

9\frac{1}{6}=\frac{54+1}{6}=\frac{55}{6}\\\\8\frac{5}{6}=\frac{48+5}{6}=\frac{53}{6}\\\\10\frac{3}{4}=\frac{40+3}{4}=\frac{43}{4}\\\\6\frac{4}{4}=\frac{24+4}{4}=\frac{28}{4}

Observe that, in each subtraction, the denominators are equal, then you can rewrite the denominator and subtract the numerators:

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Then:

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prohojiy [21]

Answer:

The equation x1 + x2 + x3 + x4 + x5 + x6 = 25 in which each xi is a non-negative integer and … Will have:

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(d) 5 Solutions for 2 ≤ x2 ≤ 7

Step-by-step explanation:

The equation have 6 unknown variables . This means it will have 6 solutions when no condition is imposed as in (a) above. The number of unknown variables in the equation will give the numbers of solutions

When the conditions are imposed, the numbers of unknown variables will give the number of solutions.

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