Answer:
X= 9/2
Alternative form
x=4 1/2, x=4.5
Step-by-step explanation:
*= Multiply
1. log (little 10 under) (2)*(3x-1)= log (little 10 under) (2)*(x+8)
2. then divide both side by log (little 10 under (2))
3. 3x-1=x+8
4. move variable to the left side and change its sign
5. 3x-x-1=8
6. then move constant to the right side and change its sign
7. 3x-x=8+1
8. collect like terms
9. 2x=8+1
10. add 8+1
11. 2x=9
12. then divide both sides by 2
13. 2/2 9/2
14. 2/2 cancels out so x=9/2 is the answer
The scale for the model length of the fuselage obtained by taking the ratio of the model length and the actual length is 0.125
Actual Length of fuselage = 170 feets
Length of fuselage on model = 21.25
<u>To obtain the scale of the model, we take the ratio of the model length and the actual length</u> :
- Model length / Actual length
- 21.25 feets / 170 feets = 0.125
Therefore, the scale for the model length of the fuselage is 0.125
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No because it works for y + x= 9 but not the first one
Because the parabola intercepts the x-axis only once, we conclude that the discriminant is 0.
<h3>
What can we say about the discriminant?</h3>
For a quadratic equation:
y = a*x^2 + b*x + c
The discriminant is:
D = b^2 - 4ac
- If D = 0, there is only one real zero.
- If D > 0, there are two real zeros.
- If D < 0, there are two complex zeros.
In the graph we can see that the parabola intercepts the x-axis in its vertex, then the parabola has only one real zero, then we conclude that the discriminant is equal to zero.
If you want to learn more about quadratic equations:
brainly.com/question/776122
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