MATHEMATICS HIGH SCHOOL

Are the functions f(x)= |x-4| and g(x)= |x| -4 equivalent?​

Answers

Answer 1
Answer: No, because the first one will always give a positive answer while the second could give a negative answer.

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Point of intersection of the two axes

Answers

Answer:

Origin (0, 0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Not sure what the question is here, but if you want to find the point where two lines intersect, you can use simultaneous equations, where the two equations are the line equations.

Suppose that w and t vary inversely and that t = 5/12 when w= 4. Write a function that models the inverse
variation and find t when w = 5.
A. T=5/12w; 5/12
B.t=5/3w;1/3
C.t=5/48w;5/192
D.t=5/12w;1/3

Answers

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that wvaries Inversely with t thus generally speaking w∝(1)/(t)  since they are inverted, otherwise if they were proportionally varied then w∝t. This means that there is a constant value ( a ) for which w is inversely proportional to t and can be mathematically expressed as:

w=(a)/(t)        Eqn. (1)

Now since we are given the values of w=4 and t=(5)/(12), we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=(a)/(t)\n \na=wt\n\na=(4)((5)/(12) )\n\na=(5)/(3)

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=(a)/(t) \n\nt=(a)/(w)\n \nt=((5)/(3) )/(5)\n\nt=(5)/(15)\n \nt=(1)/(3)\n

Therefore based on the options give, we can see that Option B. is correct since

t=(5)/(3w) and for w=5, then t=(1)/(3)

Megan bought 50 beads for $9.95. she received a 10% discount, she paid a sales tax of 6%. how much did she pay fro the beads

Answers

$9.49; 10% of $9.95 is $0.995 which rounds up to a dollar; $9.95 - $1.00 = $8.95; 6% of $8.95 = $0.537 which rounds up to $0.54, so total paid is $8.95 + $0.54 = $9.49.

A snack cart sells lemonade for $2 and hot dogs for &5. The vendor sold 86 items today for a total of $330. Which equation is true?

Answers

2x+5x=330. I'm pretty sure that's it but you didn't list any answer choices.
I agree as well with both these people if you had listed your options we would have probably a better chance of getting the answer right but I do belive that the equation is right

Need help please
-3x + 5x -2 > 8x - 7 -9x

Answers

-3x + 5x -2 \geq 8x - 7 -9x\n 3x\geq-5\n x\geq-(5)/(3)

In a class of 25 students, 15 of them have a driver's license. If ten students are randomly selected, what is the expected number of students that would have a driver's license?

Answers

Answer:

Expected number of students  would have a driver's license = 6

Step-by-step explanation:

Explanation:-

Given data In a class of 25 students, 15 of them have a driver's license

The sample proportion

                                p = (x)/(n) = (15)/(25) = 0.6

Let 'X' be the binomial distribution

Given sample size 'n' = 10

mean of the binomial distribution or expected number of students  would have a driver's license

                                 μ = n p

                                    = 10 × 0.6

                                   = 6

Conclusion:-

Expected number of students  would have a driver's license = 6
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