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juin [17]
3 years ago
9

The function f(x)=−x2+40x−175

Mathematics
2 answers:
nadezda [96]3 years ago
8 0
Answer: The maximum value of f(x) is when x = 225.

The equation given is an upside down parabola. Therefore, the maximum height of the parabola is at the vertex.

To find the vertex when the equation is in standard from, we can use "-b/2a" to find the x-value.

Our expression is: 

-40/-2 = 20
Goryan [66]3 years ago
4 0

Answer: X=225

Step-by-step explanation:

You might be interested in
Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t
liq [111]

Answer:

John received 10% of the overall votes.

Step-by-step explanation:

Let us assume that the number of votes John got  = m

So, the number of votes Vivienne received =   3 times (John's share )

 = 3  times m   =  3 m

Also, The number of Votes Nassim received = 2 times ( Vivienne's share)

2 x (3 m)   = 6 m

Total Votes in the grade 6  

= Votes received by { John + Vivienne + Nassim}

= m + (3 m) + (6 m) = 10 m

Hence, the total number of students who voted in grade 6  = 10 m

\textrm{The percentage of John's Votes }  = \frac{\textrm{Number of votes John received}}{\textrm{Total number of votes }}  \times 100

= \frac{m}{10m}  \times 100 = 10

or, The percentage of John's Votes  = 10%

Hence, John received 10% of the overall votes.

3 0
4 years ago
Angles 1 and 2 are complementary, and angle 1=3x+3 and angle 2=10x-4, find the degree measure of each angle
tensa zangetsu [6.8K]

Answer:

The measure of the angles:

24°  and   66°

Step-by-step explanation:

Complementary angles sum 90°

then:

(3x + 3) + (10x-4) = 90

3x + 10x + 3 - 4 = 90

13x - 1 = 90

13x = 90+1

13x = 91

x = 91/13

x = 7°

then:

  • angle 1:

3x+3 = 3*7 + 3 = 21+3 = 24°

  • angle 2

10x - 4 = 10*7  - 4 = 70 - 4 = 66°

Check:

66° + 24° = 90°

7 0
3 years ago
Select all ratios equivalent to 4:3.
valentina_108 [34]

Answer:

8:6 and 16:12

Step-by-step explanation:

5 0
3 years ago
The shapes in this question are drawn on a centimetre grid.
xenn [34]

Answer:

A. 12 centimeters B. 4 centimeters C. 20 centimeters

Step-by-step explanation:

To find area you need to do the Height time the Length.

For A it is 3x4

For B it is 4x1

And for C it is 4x5

You get this equation by multiplying the amount of squares that the Height and Length measured!

Hope this helped!

:DD

8 0
3 years ago
Read 2 more answers
Y=143.3(5)^2+1823.3(5)+6820
MA_775_DIABLO [31]

As the question is written, the <em>correct answer</em> is:


19519.


Explanation:


Our question states

y = 143.3(5)² + 1823.3(5) + 6820


To evaluate this, we use the order of operations (PEMDAS). There is nothing to be evaluated in parentheses, so P is taken care of.


The E part, exponents, is 5². This is 25, which gives us:

y = 143.3(25) + 1823.3(5) + 6820


Next we have M and D, multiplication and division (in the order they appear). Our multiplication is:

143.3(25) = 3582.5; and

1823.3(5) = 9116.5.


This gives us:

y = 3582.5 + 9116.5 + 6820


Lastly, we add these:

y = 12699 + 6820

y = 19519

6 0
4 years ago
Read 2 more answers
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