Answer:
-4
Step-by-step explanation:
3(2x+8) = 0
Distribute
6x + 24 = 0
24 = -6x + 0
24/-6 = -4
I think transition, reflection, transition, and reflection.
Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
- d = 1720
- x = plane's speed
- y = wind speed
- t1 = 5 hours
- t2 = 4 hours.
Substitution
- d = (x + y) * t
- 1720 = (x + y) * 4
- 1720 = (x - y) * 5
Since the two distances are the same, you can equate the right hand sides.
- (x + y) * 4 = (x - y)*5 Remove the brackets.
- 4x + 4y = 5x - 5y Add 5y to both sides
- 4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
- 4x + 9y = 5x Subtract 4x from both sides
- 9y + 4x - 4x = 5x - 4x Combine
- 9y = x
Now use one of the given equations with the distance
- 1720 = (x + y)*4 Substitute 9y for x
- 1720 = (9y + y) * 4 Combine
- 1720 = 10y * 4 Multiply the right
- 1720 = 40y Divide by 40
- 1720/40 = 40y/40 Do the division
- 43 = y y = wind speek
- 9y = x x = 9*y
- 9*43 = x
- x = 387 miles per hour.
According to the graph given, and using it's concept, it is found that the initial value of the domain is of 0.
The <em>domain</em> of a function is the <u>set that contains all possible input values</u>.
- In a graph, it is <u>represented by the values of x</u>, which is the horizontal axis.
In the graph given in this problem, the function is <u>defined for x between 0 and 2</u>, that is, the <em>domain </em>is [0,2], hence, the initial value of the domain is of 0.
To learn more about domain, you can take a look at brainly.com/question/25897115
Answer:
Penny needs
cups of flour to make 3/4 of the recipe.
The recipe will make 18 cookies.
Step-by-step explanation:
We have been given that a recipe for oatmeal cookies makes 24 cookies. Penny wants to make 3/4 of the recipe.
To find the number of cookies that will 3/4 of the recipe will make, we need to find 3/4 of 24 as shown below:



Therefore, the recipe will make 18 cookies.
We are also told that recipe calls for 2 1/2 cups of flour. To find amount of flour needed for 3/4 of the recipe, we will multiply 2 1/2 cups by 3/4 as:





Therefore, Penny needs
cups of flour to make 3/4 of the recipe.