Graph of y = −4x − 1?
Answers
Answer:
Explanation: Since the equation is linear/straight in the form y=mx+c , you can determine the slope/gradient ( m ) and y-intercept ( c ). To graph this equation, you'll need to find 2 points on the line and join them together. We know one of the points is (0, 1) as the y-intercept is 1.
Step-by-step explanation:
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2x + 3y = 1240
x = 2y – 10
How many of each type of ticket were sold?
Answers
Answer:
Here, x represents the umber of food tickets sold and y represents the number of ride tickets sold.
Given the system of equations:
....[1]
....[2]
Substitute the equation [2] into [1] we have;
Using distributive property,
Combine like terms;
Add 20 to both sides we have;
Divide both sides by 7 we have;
y = 180
Substitute this in [2] we have;
therefore, each type of ticket were sold are:
the number of food tickets sold is, 350 and the number of ride tickets sold is, 180
7y-20=1240
7y=1260
y=180
2x+3(180)=1240
2x+540=1240
2x=700
x=350
So they sold 350 food tickets and 180 ride tickets in total.
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Find the value of A for the parabola. Show your work. Use Part 1 and 2 to write the equation of the parabola.
Answers
The equation of the parabola is: y = (x - 2)² - 2. Finding the value of A
The vertex of the parabola is at (2,-2). Since the parabola opens upward, the equation of the parabola will be of the form:
y = A(x - 2)² - 2
We can plug the point (3,-1) into this equation to find the value of A.
-1 = A(3 - 2)² - 2
Simplifying the right side of the equation, we get:
-1 = A - 2
Adding 2 to both sides of the equation, we get:
1 = A
Therefore, the value of A is 1.
Writing the equation of the parabola
The equation of the parabola is:
y = (x - 2)² - 2
To know more about parabola:
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Answer:
a=1
Step-by-step explanation:
Hopefully this helps :)
Answers
Answer:
The area after 9 years will be 1,234 km^2
Step-by-step explanation:
In this question, we are tasked with calculating what the area of a certain forest that decreases at a certain percentage would be after some years.
To answer this question, we shall be using an exponential approximation.
Now, to use this exponential approximation, we shall be needing a supporting exponential mathematical equation.
This can be written as;
A = I(1-r)^t
where A is the new area we are looking for
I is the initial area which is 1700 according to the question
r is the rate of decrease which is 3.5% = 3.5/100 = 0.035
t is time which is 9 years according to the question
We plug these values and have the following;
A = 1700(1-0.035)^9
A = 1700(0.965)^9
A = 1,233.66
This is 1,234 km^2 to the nearest square kilometer
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Answers
fraction form:
Answer:
decimal form: 0.63
fraction form: \frac{63}{100}
Step-by-step explanation:
3 goes after 6 and 100 replaces 10. For the decimal form you divide 63 by 100, which results in 0.63.
An identity is an equation that is true for all real values in its domain.
An identity is an equation that is true for all real values in its range.
An identity is an equation that can be verified by substituting input values.
Answers
The correct answer is:
An identity is an equation that is true for all real numbers.
Explanation:
An identity is a mathematical statement that is always true. It does not matter what numbers you substitute in for the variables, the result will be the same.