Answer:
The Function rule for line is: 
Option A is correct option.
Step-by-step explanation:
Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)
The function rule is of form: 
where m is slope and b is y-intercept
Finding slope:
The formula used to find slope is: 
We have 
Putting values and finding slope
Finding y-intercept
We will use point(0,0) to find y-intercept
So, y-intercept is 0
The Function rule for line having slope m=-13/5 and y-intercept b=0:
So, The Function rule for line is:
Option A is correct option.
3y-5 = -1
3y=4
y = 4/3
3y-5 = 1
3y = 6
y = 2
y must be between 4/3 and 2
y must be between 1 1/3 and 2
Answer:
Janet has coins worth 252.5, 101, and 50.5.
Step-by-step explanation:
Let us call the three coins 
, and 
.
The first coin 
is 5 times another coin<em> (let's say </em>
); therefore,
,
and the third coin is 2 times the value of another coin<em> (it's coin </em><em>):</em>
<em />
<em>.</em>
The total worth of all coins is 404; therefore,
or
with the value of in hand, we find and :
and for 
Thus, Janet has 3 coins worth 252.5, 101, and 50.5.
A.
estimate: 8/5
quotient:1.6
b.
estimate: 7
quotient: 7
c.
estimate: 15/2
quotient:7.5
Answer:
x=8 and y=3 (So, yes!)
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
−x+4y=4;−x+3y=1
Step: Solve −x+4y=4 for x:
−x+4y+−4y=4+−4y(Add -4y to both sides)
−x=−4y+4
-x/-1 = -4y+4/-1 (Divide both sides by -1)
x=4y−4
Step: Substitute 4y−4 for x in −x+3y=1:
−x+3y=1
−(4y−4)+3y=1
−y+4=1(Simplify both sides of the equation)
−y+4+−4=1+−4(Add -4 to both sides)
−y=−3
-y/-1 = -3/-1 (Divide both sides by -1)
y=3
Step: Substitute 3 for y in x=4y−4:
=4y−4
x=(4)(3)−4
x=8(Simplify both sides of the equation)
<u>Answer:</u>
x=8 and y=3
