Answer:
Length = 49 feet
Step-by-step explanation:
Since 35/5 is equal to 7, that means for every inch on the drawing it represents 7 feet. So you could multiply 7(7) to get the actual length.
y=-4x+2
x-2y=23
Answer:
1. y = -4x + 2
Now, we can substitute this expression for y into the second equation:
2. x - 2y = 23
Substitute the value of y from equation 1 into equation 2:
x - 2(-4x + 2) = 23
Now, simplify and solve for x:
x + 8x - 4 = 23
Combine like terms:
9x - 4 = 23
Add 4 to both sides:
9x = 27
Divide by 9:
x = 3
Now that we have found the value of x, substitute it back into equation 1 to find y:
y = -4x + 2
y = -4(3) + 2
y = -12 + 2
y = -10
So, the solution to the system of equations is:
x = 3
y = -10
Linear equation: 1 /2 (x - 3) = 9
Bobby claims that Peter started with 21 cards. Which statements are true about verifying Bobby’s claim? Check all that apply.
1. Substitute 21 for x in the original equation.
2. Substitute any number for x in the original equation.
3. Bobby’s claim that x = 21 is correct.
4. The result of verifying Bobby’s work is 9 = 9.
5. The result of verifying Bobby’s work is 21 = 21.
Hi There!
Answer:
1. Substitute 21 for x in the original equation.
3. Bobby’s claim that x = 21 is correct.
4. The result of verifying Bobby’s work is 9 = 9.
Step-by-step explanation:
Linear Equation: 1/2 (x - 3) = 9
Bobby wants to substitute x for 21.
1/2 (21 - 3) = 9
1/2 (18) = 9
9 = 9
Bobby's claim is correct.
Hope This Helps :)
Answer:
1, 3, 4
Step-by-step explanation:
1. Substitute 21 for x in the original equation.
3. Bobby’s claim that x = 21 is correct.
4. The result of verifying Bobby’s work is 9 = 9.
I do khan academy 2 but sorry the answer
2
+ 3x - 4, and the speed of the walkway is W(x) = x
2 - 4x + 7.
20. What is his total speed as he walks along the moving walkway?
21. Carlos turned around because he left his cell phone at a restaurant.
What was his speed as he walked against the moving walkway?
His speed was 2x² + 7x - 11 as he walked against the moving walkway.
Function is a type of relation, or rule, that maps one input to specific single output.
We are given that Carlos is walking on a moving walkway. His speed is given by the function
C(x) = 3x² + 3x - 4,
The speed of the walkway is W(x) = x² - 4x + 7.
The total speed as he walks along the moving walkway is;
x² - 4x + 7+ 3x² + 3x - 4,
= 4x² - x + 3,
Given Carlos turned around because he left his cell phone at a restaurant.
If he walked against the moving walkway
- x² + 4x - 7 + 3x² + 3x - 4,
2x² + 7x - 11
Learn more about function here:
#SPJ2
Which of these functions has the greater rate of change?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
Answer is b
Step-by-step explanation: