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Juli2301 [7.4K]
3 years ago
6

On Monday, Anya read 11 pages of a book in 30 minutes. On Tuesday, she read 18 pages in 45 minutes. Did Anya's reading speed inc

rease by more than 10% from Monday to Tuesday? Complete the justification for your answer.
Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0
Yes 
11 diveded by 30 equals 61%
30 divided by 45 equals 66%

the average of 61% and 66% is more then 50%

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Can someone help me solve this
ikadub [295]

Answer:

  1. 168.25 ft
  2. 3.125 s

Step-by-step explanation:

It is almost too easy to let a graphing calculator show you the solution. (See attached)

_____

You may be expected to use some actual algebra (or even calculus) to find the solution.

If you've spent any time with quadratics, you know the vertex of ax²+bx+c is located at x=-b/(2a). Here, that means the time to get to the highest point is ...

... t = -100/(2·(-16)) = 100/32 = 3.125 . . . . seconds

Then the highest point is ...

... h(3.125) = -16·3.125² +100·3.125 +12 = 168.25 . . . . feet

_____

Or, you can put the equation into vertex form.

... h(t) = -16t² +100t +12

... = -16(t² +6.25t) +12

... = -16(t² +6.25t +3.125²) +12 +16·3.125² . . . . . add the square of half the t coefficient inside parentheses; add the opposite of the same amount outside parentheses

... = -16(t +3.125)² +168.25 . . . . . simplify

This tells us the peak of the travel of the bullet is at 168.25 ft after 3.125 seconds.

6 0
3 years ago
X+3 < -2 solve inequality
Delicious77 [7]
Take away 3 from both sides,

x+3<-2
   -3  -3 
=x<-5

answer=x<-5
hope this helps.......
8 0
3 years ago
What are two forms of expanded notation 0.58 using fractions
victus00 [196]

Answer:

Step-by-step explanation:

Don’t know

6 0
3 years ago
Please answer my question! (^• ω •^)∫
kiruha [24]
The answer to this is D
5 0
3 years ago
Read 2 more answers
If 12^x^^2^+5x-4 =12^2x+6, what could be the value of x?
Anna71 [15]
Answer: x = 2, x = - 5

Explanation:

1) The given expression is not clear.

I will rewrite it using the math editor for better understanding

12^{x^2+5x-4}=12^{2x+6}

2) Since the bases are equal, the exponents are equal too.

=> x^2 + 5x - 4 = 2x + 6

Solve that quadratic equation step by step:

3) transpose 2x + 6 to the left side:

x^2 + 5x - 4 - 2x - 6 = 0

4) Combine like terms:

x^2 + 3x - 10 = 0

5) Factor:

(x + 5) (x - 2) = 0

6) Equal each factor to 0

x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2

Those are the solutions x = - 5 and x = 2
8 0
3 years ago
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