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Tom [10]
3 years ago
11

In the diagram shown, what is the ratio of shaded parts to unshaded parts?

Mathematics
2 answers:
11111nata11111 [884]3 years ago
4 0

Answer: a

Step-by-step explanation:

borishaifa [10]3 years ago
4 0

Answer:

a

Step-by-step explanation:

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The range of y = - 32x ^ 2 + 90x + 3
mariarad [96]

Given:

The given function is:

y=-32x^2+90x+3

To find:

The range of the given function.

Solution:

We have,

y=-32x^2+90x+3

It is a quadratic function because the highest power of the variable x is 2.

Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.

If a quadratic function is f(x)=ax^2+bx+c, then the vertex of the quadratic function is:

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

In the given function, a=-32,b=90,c=3.

\dfrac{-b}{2a}=\dfrac{-90}{2(-32)}

\dfrac{-b}{2a}=\dfrac{-90}{-64}

\dfrac{-b}{2a}=\dfrac{45}{32}

The value of the given function at x=\dfrac{45}{32} is:

y=-32(\dfrac{45}{32})^2+90(\dfrac{45}{32})+3

y=\dfrac{2121}{32}

The vertex of the given downward parabola is \left(\dfrac{45}{32},\dfrac{2121}{32}\right). It means the maximum value of the function is y=\dfrac{2121}{32}. So,

Range=\left\{y|y\leq \dfrac{2121}{32}\right\}

Range=\left(-\infty, \dfrac{2121}{32}\right ]

Therefore, the range of the given function is \left (-\infty, \dfrac{2121}{32}\right ].

8 0
3 years ago
a bottle of soda had 4 and 2/7 of the daily re commended sugar. if you were to drink 1/2 of the bottle. how much of the daily re
andreyandreev [35.5K]
Well this is easyyy:) you just need to multiply 4 and 2/7 by 1/2
buttt before we set up our question lets get 4 and 2/7 as an improper fraction 
    2
4 ----
    7
we do that by multipying the 4 and 7 and then adding 2 soo lets do that 
4 x 7 = 28 
28 + 2 = 30 
look we have our numerator!! (the top number)
and we dont have to do anything to the numerator just keep it the same as 7 :) lets look at our new improper fraction

  30 
------
   7
see now we can set up our problem:)

  30         1
------ x  -----
<span>   7          2
</span>now all we do is multiply across:)

  30         1  = 30 x 1 = 30 
------ x  -----
<span>   7          2  = 7 x 2 = 14 
</span>here is our new fraction
 
  30
------
  14
wait lets simplify it by dividing each number by 2 

  30   ÷ 2 = 15 
------
<span>  14   </span>÷ 2 = 7 
ahh this is better here is our simpified fraction
  
  15 
-------
   7
or as a decimal it is 2.142857143 
either one is the correct answer:)
if this helped you then 
MARK ME BRIANLIEST :)





3 0
3 years ago
Read 2 more answers
If x = 3, calculate the value of: 2x2 + x
Molodets [167]
2x = 2 * 3 = 6

6^2 = 6*6 = 36

36 + 3 = 39

Answer: 39
3 0
3 years ago
Please answer CORRECTLY !! Will mark brainliest !!!!!
Karolina [17]

Answer:

the answer is d sorry if im wrong

5 0
4 years ago
Camila Cabello wants to order cheesecakes over the internet. Each cheesecake costs $15.99 and shipping for the entire order is
ladessa [460]

Answer:

she can purchase 5 cheesecakes

Step-by-step explanation:

15.99*5=79.95

if we add 9.99 for the shipping of thw whole order

79.95+9.99=89.94

6 0
3 years ago
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