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IRISSAK [1]
3 years ago
12

Find the pair of numbers whose sum is 46 and whose product is a maximum.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0
To solve this problem you must apply the proccedure shown below:

 1. Let's call:

 x the first number and and the other number 46-x

 2. Then, the product of both numbers is:

 y=x(46-x)

 3. When you apply the distributive property, you obtain:

 y=46x-x^2

 4. As you can see, the coefficient of x^2 is negative, this means that the maximun value is at the vertex of the parabola.

 5. Then, you have:

 h=-b/2a
 h=-46/2(-1)
 h=23   (x coordinate)

 6.Then:

  y=46x-x^2
 y=46(23)-(23)^2
 y=529

 Therefore the answer is: 23 and 529.

 
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What are the factor pairs for 45
riadik2000 [5.3K]
The factored pairs of 45 are:
1 x 45
3 x 15
5 x 9
7 0
3 years ago
PLEASE HELPPPP!!!!!!!!!!!!
sladkih [1.3K]
Given:

Two endpoints of a diameter of a circle:

P (-7, -10)
Q (3, 2)

a) To find the center of the circle, find the midpoint of the two points:

midpoint:

(x2 - x1 )/ 2 , (y2 - y1) / 2

x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5

Therefore, the center of the circle is at C(4.5, 6.5)


 b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.

d = √(y2-y1)^2 + (x2 - x1)^2
d = √(2-(-7))^2 + (3 - (-10))^2
d = 5√10 = diameter
r = d/2 = 5√10 /2 
5 0
3 years ago
What is (x-4)(2x-3)=0?
amm1812
Hi,
The answer is 3/2 or 4
How I got my answer:
Just think that (2x+3) OR (x-4) has to be 0.
<span> Than you can find it out with a simple +/- calculation. </span>
<span> 2x+3=0 x-4=0 
x=-3/2 or 4</span>Hope this helps you.
7 0
3 years ago
Solve for x. x2 + x - 6 = 0 A. -2, -3 B. -2, 3 C. 2, -3 D. 2, 3
stiv31 [10]

Factor x^2 + x - 6

(x - 2)(x + 3) = 0

Solve for x

Ask yourself; When will (x - 2)(x + 3) equal zero?

When x - 2 = 0 or x + 3 = 0

Then solve for each of the two equations above

<em>x = 2, -3</em>

<u>Answer: C. 2, -3</u>

5 0
3 years ago
Read 2 more answers
Solve please i need this fast
Rufina [12.5K]

Answer:

Step-by-step explanation:

b)

5 0
3 years ago
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