d. y = 3/4x + 17/4.
To write the slope-intercept form y = mx + b of a line passing through (-3, 2) and (1,5).
First, we have to calculate the slope m.
m = (y₂-y₁)/(x₂-x₁), with (x₁, y₁) = (-3, 2) and (x₂, y₂) = (1, 5)
m = (5 - 2)/(1 - (-3))
m = 3/4
Second, we have to find the y-intercept.
y = mx + b, where m is the slope and b is the y-intercept.
Using one of the two ordered pair and plug it in for x and y in the equation y = mx + b.
Taking the ordered pair (1, 5):
5 = 3/4 (1) + b
5 = 3/4 + b
Solving for b
b = 5 - 3/4
b = [5(4) - 3(1)]/4
b = (20 - 3)/4
b = 17/4
Finally, write down the slope-intercept equation of the form y = mx + b, with m = 3/4 and b = 17/4:
y = mx + b
y = 3/4x + 17/4
Step-by-step explanation
first you have 1764 so you need to reduce it so you can keep on going through the line so I divided 1764 by 2 and I got 882. 2 is a prime number so I don't have to worry about it anymore. now I reduce 882 and get 2 and 441. 2 is prime so we don't need to worry about it anymore. now since we can't divide 441 by 2 we will use the next number 3. 441 divided by 3 is 147. 3 is prime so we don't need to worry about it anymore. 147 can't be divided by 2 so we will try 3 again and that works so 147 divided by 3 is 49. 3 is prime so we don't have to worry about it anymore. now we have 49 and 49 is a normal multiplication fact so we know that 49 divided by 7 is 7. and seven is prime so now you have have all the prime factors of 1764
Answer:
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (this isn't a sponsor I've just been using it since the 6th grade lol).
Answer:
c
Step-by-step explanation:
Answer:
the sales tax percent is therefore: 7.75%
Step-by-step explanation:
The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.
Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:
69.75 = x * 899.99
solving for x we get:
x = 69.75 / 899.99
x = 0.0775
this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:
the sales tax percent is therefore: 7.75%
