Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
24−4x=2x
24+−4x=2x
−4x+24=2x
Step 2: Subtract 2x from both sides.
−4x+24−2x=2x−2x
−6x+24=0
Step 3: Subtract 24 from both sides.
−6x+24−24=0−24
−6x=−24
Step 4: Divide both sides by -6.
−6x
/−6 =
−24
/−6
x=4
The Tampa Tribune expecting to add 700 new pictures per year to their database in 2041
<h3>The linear equation of the graph</h3>
The equation of the line of best fit is given as:
![y = 8x + 367](https://tex.z-dn.net/?f=y%20%3D%208x%20%2B%20367)
When the number of pictures added is 700, we have:
y = 700
Substitute 700 for y in ![y = 8x + 367](https://tex.z-dn.net/?f=y%20%3D%208x%20%2B%20367)
![700 = 8x + 367](https://tex.z-dn.net/?f=700%20%3D%208x%20%2B%20367)
Subtract 367 from both sides of the equation
![333= 8x](https://tex.z-dn.net/?f=333%3D%208x)
Rewrite the above equation as:
![8x = 333](https://tex.z-dn.net/?f=8x%20%3D%20333)
Divide both sides by 8
![x = 41.625](https://tex.z-dn.net/?f=x%20%3D%2041.625)
Remove decimal (do not approximate)
![x = 41](https://tex.z-dn.net/?f=x%20%3D%2041)
This means that:
![Year = 2000 +41](https://tex.z-dn.net/?f=Year%20%3D%202000%20%2B41)
![Year = 2041](https://tex.z-dn.net/?f=Year%20%3D%202041)
Hence, the Tampa Tribune expecting to add 700 new pictures per year to their database in 2041
Read more about linear regression at:
brainly.com/question/26137159
Answer:
y=8x+5
Step-by-step explanation:
Please see attached picture for full solution.
I assume that you are trying to find for the equation of the line.
First, substitute the value of the slope given into m in the equation.
Then substitute the coordinates into x and y to find the y-intercept.
Answer:
Option B is correct = ![0.3 \times 81](https://tex.z-dn.net/?f=0.3%20%5Ctimes%2081)
Step-by-step explanation:
<u>The complete question is:</u> Which of the following options have the same value as 30% of 81?
Group of choices is:
(A) ![\frac{30}{100}\times 81 \times 100](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B100%7D%5Ctimes%2081%20%5Ctimes%20100)
(B) ![0.3 \times 81](https://tex.z-dn.net/?f=0.3%20%5Ctimes%2081)
(C) ![0.03 \times 81](https://tex.z-dn.net/?f=0.03%20%5Ctimes%2081)
(D) ![\frac{3}{10}\times 81 \times 10](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D%5Ctimes%2081%20%5Ctimes%2010)
(E)
Now, the expression given to us is 30% of 81.
Simplifying the above expression we get;
30% of 81 =
=
= ![0.3 \times 81](https://tex.z-dn.net/?f=0.3%20%5Ctimes%2081)
Now, we will solve each of the given options and then see which option matches with our calculation.
Option (A) is given;
= ![30 \times 81](https://tex.z-dn.net/?f=30%20%5Ctimes%2081)
This doesn't match with our answer, so this option is not correct.
Option (B) is given;
<u><em>This matches with our answer, so this option is correct.</em></u>
Option (C) is given;
This doesn't match with our answer, so this option is not correct.
Option (D) is given;
= ![3 \times 81](https://tex.z-dn.net/?f=3%20%5Ctimes%2081)
This doesn't match with our answer, so this option is not correct.
Option (E) is given;
This doesn't match with our answer, so this option is not correct.