Answer:
slope: 4
y-intercept: 2
Step-by-step explanation:
We are given an equation, y = 4x + 2, and we are asked to find the slope and y-intercept of the line. Looking carefully, we can see that the equation is given to us in slope-intercept form.
Slope-intercept form is:
y = mx + b
where m is the slope and b is the by-intercept.
Knowing this, we can find that 4 is the slope of the line and 2 is the y-intercept.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
108, 324, 972
Step-by-step explanation:
4 (*3)
ans. (*3)
ans. (*3)
ans. (*3)
ans. (*3)
ans. (*3)
Answer:
It costs $42.43
Step-by-step explanation:
Lets explain how to solve the problem
- The cost of 
kilogram of candy is $7.5
- We need to find the cost of 
kilogram
We can use the ratio to find the answer
======= Dollar : Kilogram
======= 7.5 :
======= c :
By using cross multiplication
∴ c × = 7.5 ×
∵ = 
∴ = 
∴ c × = 7.5 ×
∴ c × = 
Divide both sides by
∴ c = ÷
Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∴ c = × 
∴ c = 
= 42.43 dollars
∵ c represents the cost of kg
∴ It costs $42.43
Answer:
The volume of the triangular prism: 59.2 
The value of the concrete used is: 16*4 = $64
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo
My answer:
As we know that, the formula to find out the volume of the triangular prism is:
V = 
when h is the height and a&b are the length of the two square edges. So we have:
- V =
*4*4*7.4 = 59.2
To find the concrete used in the ramp if the cost of concrete is $ 4.00 per cubic foot, we need to know the area of the ramp, which is:
S = 4*4 = 16 
Hence, the value of the concrete used is: 16*4 = $64
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
