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galina1969 [7]
2 years ago
14

School x and y are in a comepetition. School x has 8 more points than school y and 3 times more points as school y . How many po

ints fo each school have?
Mathematics
1 answer:
lara [203]2 years ago
6 0

Answer:  School Y has 4 points and School X has 12 points.

Explanation:

Let the number of points School Y has be x

Let the number of points School X has be 3x

According to question, we get

3x-x=8\\\\2x=8\\\\x=\frac{8}{2}\\\\x=4

So, the number of point School Y has 4.

and number of points School X has

3x=3\times 4=12

Hence, School Y has 4 points and School X has 12 points.



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8*0.5*x=-15
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3 years ago
Simply 3 26/27 + 2 3/4 + 15 1/9
cupoosta [38]
1) 3+2+15=20
2) 3/4= 27/36  1/9=4/36
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Solve the linear equation<br><br> <img src="https://tex.z-dn.net/?f=4%5E%7Bx%2B7%7D%20%3D%208%5E%7B2x-3%7D" id="TexFormula1" tit
GREYUIT [131]

Answer:

x = 5.75

Step-by-step explanation:

4^(x+7) = 8^(2x-3)

But; 4^(x+7) = 2^2(x+7)

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3 0
3 years ago
A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

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stich3 [128]

Answer:

m=\frac{-1}{4}

Step-by-step explanation:

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