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lora16 [44]
3 years ago
11

Y2+2y-24 factor completely

Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0

Answer y= {-4, 6}

Step-by-step explanation:

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Anton [14]
7 divided by 12 = 0.583
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3 years ago
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Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of th
vladimir2022 [97]

Answer:

The two numbers are:

x = 500

y = 125

Step-by-step explanation:

We want to find two numbers x and y, such that:

x + 4*y = 1000

f(x, y) = x*y is maximum.

From the first equation, we can isolate one of the variables to get

x = 1000 - 4y

now we can replace it in f(x, y):

x*y = (1000 - 4*y)*y  = 1000*y - 4*y^2

So now we want to maximize the function:

f(y) =- 4*y^2 + 1000*y

where y must be an integer.

Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.

Remember that for a general quadratic equation:

y = a*x^2 + bx + c

the x-value of the vertex is:

x = -b/(2*a)

so, in the case of:

f(y) =- 4*y^2 + 1000*y

the y-value of the vertex will be:

y = -1000/(2*-4) = 1000/8 = 125

So we found the value of y.

now we can use the equation:

x = 1000 - 4*y

x = 1000 - 4*125 = 1000 - 500 = 500

x = 500

Then the two numbers are:

x =500

y = 125

6 0
3 years ago
Write these decimals in order from smallest to largest: 0.507, 0.75, 0.5, 0.078
natta225 [31]
0.078, 0.5, 0.507, 0.75.

Hope it helps ; )
6 0
2 years ago
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Which is the quotient of 11/12 divide by 5/7
Phantasy [73]
11/12 divided by 5/7 should be 0.02619047619 you can double check it though
3 0
3 years ago
I really need help!!!! Fast please
ANEK [815]

Answer:

approx 15%

Step-by-step explanation:

Allison puts $250 down and following that she makes 12 monthly payments of $124.49.  The sum of her payments (total cost) is thus $250 + (124.49/month)(12 months) = $1743.88

The total interest she pays is $1743.88 - ($124.49/month)(12 months), or

$250

We use the simple interest formula:  i = prt, where t is the number of years, and r is the interest rate as a decimal fraction:

$250 = $1599.99*r*1.

                                                                     $250

Solving this for r by division, we get r = --------------- = 0.1463, or approx 15%

                                                                  $1599.99

4 0
3 years ago
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