answer:
y = 2x - 5
work:
to write equations, we use the format y = mx + b.
m stands for the slope, and b stands for the y intercept.
this means that you should be able to enter the values for y and x and get a valid equation as a result.
in this equation, we are not given a y intercept value, but we do have a slope and x and y values, so we have to solve by substituting.
so, let's substitute in the values of y and x and the slope,
and solve for b, the y intercept.
1 = 2(3) + b (multiply 2 x 3)
1 = 6 + b (subtract 6 from both sides)
- 5 = b
b has a value of -5. let's place this into the equation.
y = 2x - 5.
the slope is 2, and the y intercept is -5, let's plug in our y and x values to verify that this is true.
1 = 2(3) - 5
1 = 6 - 5
1 = 1
so, this equation is correct. hope this helps and have a great day!
Answer:
x=0.5
y = 10.5
Step-by-step explanation:
y = 3x + 7
y = 5x + 8
3x + 7 = 5x + 8
3x - 5x= 8 - 7
2x = 1
x= 1/2
x=0.5
y = 5x + 8
y = 5(0.5) + 8
y = 2.5 + 8
y = 10.5
Answer:
5/6
Step-by-step explanation:
There are 6 points (discounting the one at the beginning for 0). That means it's fractions of 6. Point C is on the 5th point, meaning it's 5/6ths of the way to 1, meaning that point C is, indeed, 5/6th.
Answer:
Both expressions are equal. One expression cannot be greater than the others.
Step-by-step explanation:
The given expressions are:
A: (x + y)
B: (x) + (y)
<h3>Let x = a and y = b</h3>
A: (a+b) = a+b
B: (a)+(b) = a+b
<h3>Let x = -a and y = -b</h3>
A: (-a+ (-b)) = -a-b
B: (-a)+(-b) = -a-b
<h3 /><h3>Let x = a and y = -b</h3>
A: (a+(-b)) = a-b
B: (a)+(-b) = a-b
<h3 /><h3>Let x = -a and y = b</h3>
A: ((-a)+b) = -a+b
B: (-a)+(b) = -a+b
We can see the pattern that both expressions are always equal to each other, no matter what value of x and y you plug in. One expression cannot be greater than the other
Answer:
$21,500
Step-by-step explanation:
T=1/8x+19
since x is the year since 2000, the year 2020 would be when x=20.
Sub x=20 in the equation
T=(1/8)(20)+19
T=20/8 +19
T=19 + 5/2
T=43/2
T=21.5
Since T is tuition in thousands, multiply T=21.5 by 1000. The tuition is $21,500.
