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Pavel [41]
3 years ago
15

Carli can walk 40 dogs in 8 hours. How many dogs can she walk in 12 hours?

Mathematics
1 answer:
Archy [21]3 years ago
7 0

Answer:

60 dogs

Step-by-step explanation:

40/8 = 5 dogs per hour

12 x 5 = 60 dogs in 12 hours

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Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -
rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by  D and its formula is

D=b^2-4ac\\

Where

a= the coefficient of the x^{2}

b= the coefficient of x

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant  and evaluate our answer accordingly .

Let us start with

y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\

Hence we have two real roots for this equation.

y = 2x^2 - 6x + 5\\

y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D

Hence we do not have any real root for this quadratic

y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\

Hence D>0 and thus we have two real roots for this equation.

y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\

Hence we have one real root to this quadratic equation.

7 0
3 years ago
Show me how to solve -6+x/4= -5
schepotkina [342]
Multiply 4(-5) then add 6 and theres your X

7 0
3 years ago
Sam is 5 years older than Mike. In 6 years, Mike will be 7 more than half of Sam's age. How old is Sam now?
9966 [12]
The Correct answer is B.18
5 0
3 years ago
(0.00032)(5.2x10^6)/6.4x10^5
Elena-2011 [213]

Answer:

26000000

Step-by-step explanation:

sorry if its wrong

7 0
3 years ago
Josh rented a truck for one day. There was a base fee of$14.99,and there was an additional charge of81cent for each mile driven.
BigorU [14]
  $117.05
- $  14.99
-------------
  $102.46 left

Divide 102.46 by 0.81, and you get 126, which makes it 126 miles.

Hope this helps!

7 0
4 years ago
Read 2 more answers
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