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DaniilM [7]
4 years ago
14

What has a slope of 2/3

Mathematics
1 answer:
Angelina_Jolie [31]4 years ago
4 0

Answer:

y = m x + b.23

Step-by-step explanation:

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Find the two numbers whose sum is 24 and whose product is as large as possible.
svetlana [45]
Let, the numbers are: x, (24-x)
Let, P(x) denote their products. Then, we have:
P(x) = x(24-x) = 24x - x²
P'(x) = 24-2x
P''(x) = -2

Now, P'(x) = 0 ⇒ x = 12
Also, 
P''(12) = -2 < 0

So, By second derivative test, x = 12 is the point of local maxima of p. Hence the product of the numbers is the maximum when the numbers are 12 and (24-12) = 12

So, In short that numbers would be 12,12

Hope this helps!
4 0
3 years ago
Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x
andrew-mc [135]

Answer:

MN = 4

Step-by-step explanation:

Given that L, M, N are collinear,

LN = 9,

MN = 4x

LM = 5x

Required:

Length of MN

SOLUTION:

To calculate the numerical length of MN, we need to find the value of x.

To find the value of x, generate an equation to solve for x as follows:

LM + MN = LN (segment addition postulate)

5x + 4x = 9 (substitution)

Solve for x

9x = 9

Divide both sides by 9

\frac{9x}{9} = \frac{9}{9}

x = 1

MN = 4x

plug in the value of x

MN = 4(1) = 4

5 0
3 years ago
Plz help its math now plz
goldfiish [28.3K]
1 is 11 over nine the last one and the second one is 11
8 0
3 years ago
Read 2 more answers
Ryan the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the ot
Ivahew [28]

Answer:

Both plans last for 1.25 hours (1 hour 15 minutes)

Step-by-step explanation:

Let x hours be the time needed for plan A and y hours be the time needed for plan B.

On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. Thus, 5x+3y=10.

On Thursday there were 2 clients who did Plan A and 6 who did Plan B. Thus, 2x+6y=10.

Solve the sytem of two equation. Multiply the first equation by 2, the second by 5 and subtract them:

10x+6y-10x-30y=20-50,\\ \\-24y=-30,\\ \\y=\dfrac{30}{24}=\dfrac{5}{4}=1.25\ hours.

Therefore,

5x+3\cdot 1.25=10,\\ \\5x=10-3.75=6.25,\\ \\x=1.25\ hours.

8 0
4 years ago
(x + 23) + (2x + 4) = 180<br><br> Find the value of ¨x¨
Nata [24]
(x+23)+(2x+4)=180

x+23+2x+4=180

3x+27=180

3x=180-27

3x=153 /: 3

x=51





6 0
4 years ago
Read 2 more answers
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