Answer:
y= -2/3x - 2
Step-by-step explanation:
So, the easiest thing to find first is your y-intercept, or the point in which the line crosses the y-axis. In this graph, the y intercept would be -2. Now, we can find the slope. One way to find the slope is to start at a point and count the numbers it rises and then the number it runs. Or, you can choose two points, like (0,-2) and (3,-4) and use the formula for slope, (y2-y1) / (x2-x1). Plug those numbers in and get (-4 minus -2)/ (3 minus 0), which would give you -2/3.
2^2 , or 4
since the exponents have the same base, we can subtract the exponent of the numerator by the exponent in the denominator.
So 2^-3 - 2^-5 = 2^(-3-(-5)) = 2^2
The new exponent is 2 because -3-(-5) is equal to 2.
The smaller number is 15 and larger number is 36.
Step-by-step explanation:
Let,
Smaller number = x
Larger number = y
According to given statement;
The sum of two numbers is 51.
x+y = 51 Eqn 1
Four times the smaller number is 24 more than the larger number.
4x = y+24
4x - 24 = y
y = 4x-24 Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 5

Putting x=15 in Eqn 2

The smaller number is 15 and larger number is 36.
Keywords: linear equation, substitution
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Answer:
"34,814" is the correct solution.
Step-by-step explanation:
The given values are:
Intercept coefficient,

Production coefficient,
Units sold,
x = 3,500
Now,
The total cost will be:
⇒ 
On substituting the estimated values, we get
⇒ 
⇒ 
⇒ 