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REY [17]
2 years ago
14

PLS PLS help!

Mathematics
1 answer:
Leto [7]2 years ago
4 0

9514 1404 393

Answer:

  y = 3x^2 +30x +69

Step-by-step explanation:

Transformations work this way:

  g(x) = k·f(x) . . . . vertical stretch by a factor of k

  g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)

__

So, the translation down 2 units will make the function be ...

  f(x) = x^2  ⇒  f1(x) = f(x) -2 = x^2 -2

The vertical stretch by a factor of 3 will make the function be ...

  f1(x) = x^2 -2  ⇒  3·f1(x) = f2(x) = 3(x^2 -2)

The horizontal translation left 5 units will make the function be ...

  f2(x) = 3(x^2 -2)  ⇒  f2(x +5) = f3(x) = 3((x +5)^2 -2)

The transformed function equation can be written ...

  y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)

  y = 3x^2 +30x +69

__

The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came <em>before</em> the vertical scaling.

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PLEASE HELP MEEEEE!!!!!!!
OverLord2011 [107]

Answer:

  1. Cheese: 4\frac{3}{8}  
  2. Milk: 1\frac{2}{3}  
  3. Pasta: 6\frac{1}{4}

Step-by-step explanation:

Cheese:

  1. 1\frac{3}{4} = \frac{7}{4}  
  2. Set up a proportion: \frac{\frac{7}{4} }{4} = \frac{x}{10}  
  3. Cross multiply, then divide: 10 × 7/4 = 17.5, 17.5 ÷ 4 = 4.375
  4. 4.375 = 4\frac{3}{8}  

Milk:

  1. Set up a proportion: \frac{\frac{2}{3} }{4} = \frac{x}{10}  
  2. Cross multiply, then divide: 10 × 2/3 = 6\frac{2}{3}, 6\frac{2}{3} ÷ 4 = 1\frac{2}{3}  

Pasta:

  1. 2\frac{1}{2} = \frac{5}{2}  
  2. Set up a proportion: \frac{\frac{5}{2} }{4} = \frac{x}{10}  
  3. Cross multiply, then divide: 10 × 5/2 = 25, 25 ÷ 4 = 6.25
  4. 6.25 = 6\frac{1}{4}  

I hope this helps!

4 0
3 years ago
What's the correlation coefficient of this date . 10,11,16,9,7,15,16,10,96,51,62,58,89,81,46,51
dem82 [27]
Assuming the question is in the wrong format and"date" is data.
I chose X= 10,11,16,9,7,15,16,10 and Y= <span>96,51,62,58,89,81,46,51
the correlation cooefficent is -0.3351

</span>

8 0
3 years ago
HELP ASAP. Dilation scale=2, center (5,4) <br> Graph the new points
frosja888 [35]

Answer:

3.5

Step-by-step explanation:

5 0
2 years ago
If a bagel is 45 cents how many can I get for $20
inn [45]

Answer:

you can get 44 bagels

Step-by-step explanation:

20/.45=44.44 (round down) 44 bagels

4 0
2 years ago
write and solve the differential equation that models the following statment. "the rate if change of W with respect to x is prop
Vaselesa [24]

Answer:

\int k(x + 18)dx = \int kx + 18k dx = k\frac{x^{2} }{2} + 18kx + C where C is the constant of integration.

Step-by-step explanation:

i)it is given that the rate of change of W with respect to x is proportional to          

     x + 18. Therefore \frac{dW}{dx} = k(x + 18) where k is a constant.

ii) Therefore \int k(x + 18)dx = \int kx + 18k dx = k\frac{x^{2} }{2} + 18kx + C where C is the constant of integration.

iii) the complete solution can only be found if we know the constant of proportion and also the constant of integration.

4 0
3 years ago
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