Y = 5x – 1
2 answers:
Answer:
Option 1 - There is one solution : (0,-1)
Step-by-step explanation:
Given : The system of equations and
To find : How many solutions does this linear system have?
Solution :
Let Equation (1),
Equation (2),
Applying substitution method,
Substitute y from equation (1) into (2),
Substitute in equation (1),
Therefore, There is one solution : (0,-1)
So, Option 1 is correct.
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Answer:
Point slope intercept form: The equation for line is given by; ......[1] ; where m is the slope and a point
on the line.
Let x represents the number of days and y represents the number of friends.
As per the statement: After day three, he has 25 friends; after day eight, he has 40 friends.
⇒ We have two points i.e,
(3, 25) and (8, 40)
First calculate slope(m);
Substitute the given values we get;
= 3
now, substitute the given values of m=3 and a point (3, 25) in [1] we get;
Using distributive property;
Add 25 on both sides, we get;
Simplify:
y =3x + 16
if x = 18 days, then;
y = 3(18) + 16 = 54+16 = 70
Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.
Answer:
C:
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.