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zhannawk [14.2K]
3 years ago
11

A tennis ball bounces based on this equation y = x2 - x+2. A dog jumps based on this equation y=2x.

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer: when the equations are equal, that is when  x = 1 or x = 2

Step-by-step explanation:

The dog will receive the ball , when both equations intercept , that is , when both equations are equal. This implies :

x^{2} - x + 2 = 2x

x^{2} - x - 2x + 2 = 0

x(x-1) - 2 (x - 1 ) = 0

(x - 1 ) ( x - 2 ) =0

Therefore , x = 1 or x = 2

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Which expression is equivalent to the expression: -3(4x-2)-2x
irakobra [83]

Answer:

Step-by-step explanation:

i think it is C or B

4 0
3 years ago
Read 2 more answers
Deidre is picking out some movies to rent, and she is primarily interested in documentaries and children's movies. She has narro
exis [7]

Answer: 6630

Step-by-step explanation:

Given , Number of documentaries = 17

Number of children's movies = 20

Total movies = 17+20=37

Number of combinations of r things taken out of things = ^nC_r=\dfrac{n!}{r!(n-r)!}

Now, the number of different combinations of 3 movies can she rent if she wants at least one documentary

= (1 documentary+2 children's movies  , 2 documentary+1 children's movies , 3 documentary+0 children's movies)

=^{17}C_1\times^{20}C_{2}+^{17}C_2\times^{20}C_{1}+^{17}C_3\times^{20}C_{0}

=(17)\times\dfrac{20!}{2!18!}+\dfrac{17!}{2!15!}\times(20)+\dfrac{17!}{3!14!}(1)\\\\=3230+2720+680=6630

Hence, the  number of different combinations of 3 movies can she rent if she wants at least one documentary is 6630 .

3 0
3 years ago
HELP! The diagonal length of a kite is multiplied by 8. Which of the following describes the effect of this change on the area?
jeka57 [31]

Answer:

The area is multiplied by 8.

Step-by-step explanation:

I am pretty sure I multiplied the two diagonals that I randomly selected then multiplied the longest diagonal by eight multiples them together again then divided the bigger area by the smaller area, however, but you might want to double-check the work but the answer is right

6 0
3 years ago
The 7th grade class sold 147 tickets for the gala, but the 8th graders sold 327. How many
Artemon [7]

Answer:

The 8th graders sold 180 more tickets

8 0
2 years ago
(question 4 only plz)
Hatshy [7]
#4
White block(s) = 2
Red block(s) = 1
Purple block(s) = 3
Total = 2 +1 + 3 = 6 blocks

a) P(white) = \frac{2}{6} = \frac{1}{3}
    P(red) = \frac{1}{6}
    P(purple) = \frac{3}{6} =  \frac{1}{2}

b)Not white block:
   1 - \frac{1}{3}   OR   \frac{1}{2} + \frac{1}{6}
    \frac{2}{3}                 \frac{2}{3}
Because, when they say no white blocks, we simply do not count them and add the rest to find that probability without white blocks.

c) The probability stays the same: lets say now we have
4 white blocks, 2 red, and 6 purple, total will be 12

P(white)=\frac{4}{12} which is still \frac{1}{3}

d) We get two more blocks in the numerator: lets say we have 4 white blocks, 3 red, 5 purple (after adding 2 of each color), total will be 12

P(purple)=\frac{5}{12}
(im not quite sure if my explanation here helps you though)

e) 1 more of white and purple, 5 more of red
  white = 3, purple = 4, red = 6, total = 12
(you can either add 2 to white or purple but make sure you add 5 of red)

P(red)=\frac{6}{12} = \frac{1}{2}
  


5 0
3 years ago
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