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mixer [17]
3 years ago
5

Write a quadratic function f whose zeros are 3 and -10. f(x) =

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

Answer:

f(x)= x^2 + 7x - 30

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At a concert, 20% of the audience members were teenagers. if the number of teenagers at a concert was 360, what was the total nu
Harlamova29_29 [7]

Answer:

The total number of audience members is 1800.

Step-by-step explanation:

In order to find this, we need to divide the number of teenagers by the percentage share.

360/.2 = 1800

7 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x = ?
Tema [17]

The partial circles in each corner mean that all 3 angles are identical, which means this is an equatorial triangle. In an equatorial triangle all three sides are the same.


We can set two of the equations to equal each other and solve for x:


3x -5 = 2x +20

Add 5 to each side:

3x = 2x +25

Subtract 2x from each side:

x = 25


7 0
3 years ago
-5d + 11 = 8 - 3d<br> -5d + 11 + 3d = 8 - 3d + 3d
rjkz [21]

Answer:

do you have any options to choose from

5 0
3 years ago
Solve for e.<br> 9e + 4 = -5e + 14 + 13e
Snezhnost [94]

Answer:

17e+18

Step-by-step explanation:

9e+4=-5e+14+13e

4e+4+14+13e

17e+4+14

17e+18

4 0
3 years ago
Read 2 more answers
"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is
sukhopar [10]

Answer:

The diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

Step-by-step explanation:

Dimensions of the rectangle

Height = 5cm

Rate of base = 3/2 cm/min

Area = 60cm^2

We know the area of a rectangle of given by = base* Height

b*h = 60

b*5 = 60

b = 12cm

Applying Pythagoras theorem while drawing a diagonal to the rectangle

  b^2 +h^2 =  D^2\\

 5^2 +12^2 = 13^2

so our diagonal will be 13cm  

Upon differentiating the area of the rectangle  we get

b*h = A=60cm^2

using  the chain rule of differentiation

h*db/dt + b*dh/dt  = 0

b*dh/dt = -h*db/dt

12*dh/dt = -5*3/2

dh/dt = -5/8 cm//min

so the height of the rectangle is decreasing at the rate of -5/8cm/min

now we have all the measurements we need

b = 12 , db/dt = 3/2cm/min

h = 5 , dh/dt = -5/8 cm/min

b^2 +h^2  = D^2

Upon differentiating we get

2b*db/dt + 2h*dh/dt = 2D*dD/dt

b*db/dt + h*dh/dt = D*dD/dt

12*3/2 + 5*(-5/8) = 13*dD/dt

18 -25/8 = 13*dD/dt

\frac{144-25}{8} = 13*dD/dt

dD/dt = \frac{119}{104} cm/min

Therefore the diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

6 0
3 years ago
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