Answer:
x = 8
Step-by-step explanation:
6x - 3 = 5x + 5
Move variable to the left hand side and change their sign.
Calculate like terms.
Move constant to the right hand side and change their sign.
<u>Check our answer :-</u>
6x -3 = 5x + 5
plug the 8 as x.
- 6 ( 8 ) - 3 = 5 ( 8 ) + 5
- 48 - 3 = 40 + 5
- 45 = 45
LHS = RHS
Answer:
- correct answer is C
- Haley incorrectly applied the distributive property
Step-by-step explanation:
If you simplify the given equation, you find it matches choice C.
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Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...
1/2(6 -x) ⇒ 3 -x . . . . instead of 3 -1/2x
Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.
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<em>Additional comment</em>
It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.
Hello!
First of all we will need to find the circumference, as it is the distance around the wheel. We will use 3.14 for pi.
42(3.14)=131.88
Now we multiply by three to see how far they go in a minute.
131.88(3)=395.64
Now we multiply by 5 to see five minutes.
395.64(5)=1974.2
A passenger will travel approximately 1978.2 feet in 5 minutes.
I hope this helps!
Answer:
the images not loading so can you please upload it again
Step-by-step explanation:
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4
Answer: 1. f(x) = sin(x - π) - 4
Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in
Answer: 3. (31π)/5
Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π
From the graph, the rate of change of g(x) is
3/(π/2) = 6/π
Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change
Answer: h(x)
