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NikAS [45]
3 years ago
6

Find the linear function with the following properties. f(0)=−9 Slope of f=−8

Mathematics
1 answer:
Ratling [72]3 years ago
6 0

Answer:

  • f(x) = -8x - 9

Step-by-step explanation:

<h3>Given </h3>

<u>Function f, with </u>

  • f(0) = -9
  • Slope of f = -8
<h3>To find</h3>
  • Linear function
<h3>Solution</h3>

<u>Slope-intercept formula</u>

  • f(x) = mx + b
  • f(0) = -9 means y-intercept b = -9, and the slope is m = - 8

<u>So the function is</u>

  • f(x) = -8x - 9
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If it is right triangle use pythagorean
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The Chocolate Shoppe has a rectangular logo for their business that
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The equation that calculates the unknown side length, M of the Chocolate Shoppe rectangular logo is A = 3.1H

<h3>How to determine the equation?</h3>

The parameters in the question are:

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Represent the area of the logo with A, and L represents the unknown side

The area (A) of the rectangle is calculated using:

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Substitute 3 1/10 for H

A = 3 1/10 * H

Express the fraction as decimal

A = 3.1H

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Read more about areas at:

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3 0
2 years ago
Kiyo bought a pizza for $12.75 and four medium drinks at Paola’s pizza. Define a variable and write an expression to represent t
Travka [436]
Y = total amount of money spent
x = cost of one drink

So our expression is:
4x + 12.75

4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.

The problem also asks us to find the total price, so we write an equation:

y = 4x + 12.75
We insert what x is which in this case is $3
y = 4(3) + 12.75
Order of Operations tells us to multiply first:
y = 12 + 12.75
Now add your values:
y = 24.75
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.

Let's check our problem just in case:

24.75 = 4x + 12.75
Since we now know what y is equal to, we can plug that into our original equation and check just to verify

We should subtract 12. on both sides of the equation because of inverse operations:

24.75 - 12.75  = 12.75 - 12.75 + 4x
We are left with:

12 = 4x
We divide:
\frac{12}{4}  =  \frac{4x}{4}
Our result is:
3 = x
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.


4 0
3 years ago
Please Help!
Bingel [31]
The tank is NOT filled with 8314.5 L of a liquid. I guess you meant <span>The tank is completely filled with 8314.5 grams of liquid." </span>
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3 0
3 years ago
A student organization wondered how many hours per week college students study during a term. Each of the 10 students in the org
Inga [223]

Answer:

No, a convenience sample was taken.Therefore, the sample may not be representative of all college students in terms of number of hours studied per week.

Step-by-step explanation:

One of the important conditions required in other to estimate the mean of the population from the confidence interval. Requires that the data must be a random Sample. This is to ensure that sample values are not biased and as such are representative of the larger group of data.

However, in the scenario described above, the sample chose. Are friend's of the student, this makes the data lack randomness as those who aren't friends to the student do not stand a chance of being selected. The sampling procedure employed is called convenience sampling.

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