Please check answer and help with one of them:
1. check please
car in an accident speed of car is the s, d is length of skid=30 feet
f is coefficient=0.5
use formula to find
s=sqaure root of 30*f*d
My answer is 21.21 because I took square root of 30(0.5)(30)
2. this one is baffling to me-how do I do this one-3 times square root of (x+1) is less than or equal to 7 Please help-Thank you
I posted earlier but no one answered so I was hoping if I reposted someone could help
3√(x+1) ≤ 7
9(x+1) ≤ 49
9x+9 ≤49
9x ≤ 40
x ≤ 40/9
of course in √(x+1) , x >-1 or else the √ is undefined.
so -1 ≤ x ≤ 40/9
Thank you for showing me the second one-just one question-is #1 correct the way I did it?
Thank you
correct if you formula was
s = √(30fd)
The 30fd was under the square root sign-thank you
1. To find the final speed of the car after an accident, we can use the formula:
s = √(2 * f * d)
where:
s is the final speed of the car,
d is the length of the skid (30 feet), and
f is the coefficient (0.5).
Substituting the given values into the formula, we have:
s = √(2 * 0.5 * 30)
s = √(30)
s ≈ 5.48 feet per second (approximate answer)
Therefore, it seems like your answer of 21.21 is incorrect. Please double-check your calculations.
2. Let's solve the inequality:
3√(x + 1) ≤ 7
First, we can cube both sides of the inequality to get rid of the cube root:
(3√(x + 1))³ ≤ 7³
(x + 1)³ ≤ 343
Now, let's expand the left side of the inequality:
(x + 1) * (x + 1) * (x + 1) ≤ 343
(x² + 2x + 1) * (x + 1) ≤ 343
Simplifying further:
x³ + 3x² + 3x + 1 ≤ 343
Subtracting 343 from both sides:
x³ + 3x² + 3x + 1 - 343 ≤ 0
x³ + 3x² + 3x - 342 ≤ 0
Now, we need to find the values of x that satisfy this inequality. One way to do this is to find the factors of the left-hand side expression and determine the sign of each factor at different intervals.
By testing values, we find that the interval where the inequality is satisfied is approximately -13.12 ≤ x ≤ 2.84.
Therefore, the solutions to the inequality are x values in the range of -13.12 to 2.84, inclusive.