Answer:
To graph the line mark off the 2 points and draw a line through them.
Step-by-step explanation:
The slope = (-2-7) / (-3-0)
= -9/-3
= 3.
The value of b is found using the point-slope form of a line:
y - y1 = m(x - x1)
using m = 3, (x1, y1) = (0, 7):
y - 7 = 3(x - 0)
y = 3x + 7.
Step-by-step explanation:
Answer:
5(x - 2)=5x-7 has no solution
-3(x - 4)=-3x+12 infinitely many solutions
4(x+1)=3x+4 no solution
-2(x - 3)=2x-6 infinitely many solution
6(x + 5)=6x+11 no solution
Step-by-step explanation:
5(x - 2)=5x-7
-3=0
-3(x - 4)=-3x+12
0=0
4(x+1)=3x+4
x=0
-2(x - 3)=2x-6
0=0
6(x + 5)=6x+11
30=11
I hope this helps.
Answer:
152
Step-by-step explanation:
Answer:
d = 5t + 20
Step-by-step explanation:
d represents the distance and t represents the time, in hours
Let he equation which model this situation ⇒ d = a t + b
Where a and b are constant.
Let the gas station is the starting point
So, at gas station t = 0 , d = 20
∴ 20 = 0 * a + b ⇒ b = 20
When he reaches home 2 hours later notes that he has traveled 30 miles.
and with substituting with b = 20
∴ 30 = 2 * a + 20
2a = 30 - 20 = 10 ⇒ a = 10/2 = 5
∴ d = 5t + 20
The equations that can be used to model this situation <u>d = 5t + 20</u>
