Question
Give the x-intercept
3x + 8y = 24
- (8, 0)
- (0, 8)
- (3, 0)
- (0, 3)
Hint:
The x-intercept is the point where the line crosses the x-axis. At this point y = 0.
The correct answer is: (8, 0)
Step 1 of 1:
To find the x-intercept set y = 0 and solve for x.
Given equation, 3x + 8y = 24
→ 3x + 8(0) = 24
→ 3x = 24
→ x = 8
x-intercept (8,0)
Final Answer:
The right choice is- a. (8, 0)
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For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
The equality between two mathematical expressions involving one or more variables is called an equation. For example, a linear equation is one in which the variable's highest power is one. For example, an algebraic equation of the form ax + b = 0 or ax + by + c = 0. where x and y are the two highest-power variables and a, b, and c are real numbers.
The answer to this question was C = 5h + 3. The y-intercept is where h=0. It has the value c=3 and represents the fixed cost. The slope is 3, representing the rate at which C is increasing. If she babysits for 5 hours, she makes
C = 5*5 + 3
C = 25 + 3
C = 28
Therefore using the equation C = 5h + 3, we get the answer is $28.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
The equality between two mathematical expressions involving one or more variables is called an equation. For example, a linear equation is one in which the variable's highest power is one. For example, an algebraic equation of the form ax + b = 0 or ax + by + c = 0. where x and y are the two highest-power variables and a, b, and c are real numbers.
The answer to this question was C = 5h + 3. The y-intercept is where h=0. It has the value c=3 and represents the fixed cost. The slope is 3, representing the rate at which C is increasing. If she babysits for 5 hours, she makes
C = 5*5 + 3
C = 25 + 3
C = 28
Therefore using the equation C = 5h + 3, we get the answer is $28.
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