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3 years ago

You have to pay to fix the sink. They are charging you $75 for parts and

Mathematics

1 answer:

Alika [10]3 years ago

4 0

Answer: y = 20x+75

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The cost (y) must be equal to the product of the cost per hour of installation (20) and the number of hours that it takes (x); plus the fixed cost of parts and installation (75).

Mathematically speaking:

y = 20x+75

Feel free to ask for more if needed or if you did not understand something

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Selena was comparing the flying speeds of different birds in science class. Which of the three birds flies fastest? Why?

Mashcka [7]

Answer:

Option C. The robin flies fastest because its rate is 15 m/s

Step-by-step explanation:

Let

x -----> the time in seconds

y ----> the distance in meters

The speed is equal to divide the distance by the time

In this problem, the slope or unit rate of the linear equation is the same that the speed

Robin's Flight

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,30) and (3,45)

substitute in the formula

$m=\frac{45-30}{3-2}$

$m=\frac{15}{1}$

$m=15\frac{m}{sec}$

Cardinal's Flight

$y=10x$

$m=10\frac{m}{sec}$

Blue Jay's Flight

take two points from the graph

(0,0) and (2,20)

substitute in the formula

$m=\frac{20-0}{2-0}$

$m=\frac{20}{2}$

$m=10\frac{m}{sec}$

Compare

The robin flies fastest because its rate is 15 m/s

4 0

3 years ago

|x+6|=|x−12| Graph the solution

Maslowich

Answer:

Step-by-step explanation:

$\left|x+6\right|=\left|x-12\right|\\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\ \\\mathrm{For\:}x$

4 0

3 years ago

What is the 6th term of the geometric sequence where a1 = 1,024 and a4 = −16? 1 −0.25 −1 0.25

VLD [36.1K]

The n-th term is given by

$a_n=a_1\cdot r^{(n-1)}\qquad\text{where r is the common ratio}$

Then we can find the common ratio from the given terms.

$\dfrac{a_4}{a_1}=\dfrac{a_1\cdot r^{(4-1)}}{a_1}=r^3=\dfrac{-16}{1024}=\left(\dfrac{-1}{4}\right)^3\\\\r=\dfrac{-1}{4}\\\\a_6=1024\left(\dfrac{-1}{4}\right)^5=-1$