Answer:
<h2>m = 21, b = 5 → y = 21x + 5</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, b)</em>
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
=====================================
From the table we have y-intercept (0, 5) → <em>b = 5 </em>and other point (1, 26).
Calculate the slope:
![m=\dfrac{26-5}{1-0}=\dfrac{21}{1}=21](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B26-5%7D%7B1-0%7D%3D%5Cdfrac%7B21%7D%7B1%7D%3D21)
Answer:
so I believe we can do 15% of 45, so that is 6.75.
so now we do:
45.00
<u>+ 6.75</u>
<u><em>51.75 is your answer!</em></u>
please mark brainliest if correct!
Step-by-step answer:
Since the question can be solved easily with a calculator, it is assumed that no calculators are allowed.
13*379 is the same as (10+3)*379
Applying distributive law, we then solve
10*379 = 3790
3*379 = 1137
Adding the two, we get
4927
Alternatively, we can calculate the product by long multiplication to get also 4927.
To check for mistakes, we use casting out nines
13 * 379 (add the digits, 1+3, 3+7+9)
4 * 19 (add the digits)
4*10 (multiply)
40 (add digits)
4
Add digits of 4927
4+9+2+7 = 22
add digits again
2+2 =4
the two match, so the likelihood of make arithmetic error is very low.
Note: using a calculator, the value is indeed 4927.
Answer:
29 and -18
Step-by-step explanation:
f(x)= -3x+12
f(-9)= -3(-9)+2
f(-9)= 27+2
f(-9)= 29
g(x)= x2
g(-9)= -9(2)
g(-9)= -18
Answer:
Head bands: 18.58 inches of fabric
Wrist bands : 8.51 inches of fabric
Step-by-step explanation:
Jillian is making accessories for the soccer team.
For head bands
She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.
The total number of people = 39 player + 2 coaches = 41 people
Hence:
41 persons = 761.78 inches of fabric
1 person = x
Cross Multiply
41 × x = 761.78 × 1
x = 761.78/48
x = 18.58 inches
For wristbands
She also uses 331.89 inches of fabric on wristbands for just the players.
Number of players = 39 players
Hence:
39 players = 331.89 inches
1 players = x inches
Cross Multiply
39 × x = 1 × 331.89 inches
x = 331.89 inches/39
x = 8.51 inches
Therefore:
18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.