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lina2011 [118]
3 years ago
6

Eli has 8 black pens and 5 in his desk drawer. He also has 3 yellow highlighters, 4 green highlighters, and 5 pink highlighters

in his pencil case. If he chooses one pen and one highlighter without looking, what is the probability that he will get a blue pen and he will not get a yellow highlighter?
5/52

6/13

2/13

15/52
Mathematics
1 answer:
34kurt3 years ago
7 0

Answer:

The answer is 15/52. (Please make me as brainliest (: )

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Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10
damaskus [11]

Answer:

4

Step-by-step explanation:

set

f(x,y)=x+y\\

constrain:

g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10

Partial derivatives:

f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2

Lagrange multiplier:

grad(f)=a*grad(g)+b*grad(h)\\

\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]

4 equations:

1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10

By solving:

a=4/9\\b=-2/27\\x+y=4

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4

The maximum is 4

6 0
3 years ago
F(x) = 3x + 1; g(x) = 5x - 1<br> Find f/g. (1 point)
zysi [14]

Answer:

\frac{f}{g} =\frac{3x+1}{5x-1}

x\neq \frac{1}{5}

Step-by-step explanation:

we are given

f(x)=3x+1

g(x)=5x-1

we have to find f/g

we can write as

\frac{f}{g} =\frac{f(x)}{g(x)}

now, we can plug values

and we get

\frac{f(x)}{g(x)} =\frac{3x+1}{5x-1}

so,

\frac{f}{g} =\frac{3x+1}{5x-1}

we know that denominator can not be zero

so,

5x-1\neq 0

now, we can solve for x

5x-1+1\neq 0+1

5x\neq 1

Divide both sides by 5

and we get

x\neq \frac{1}{5}

8 0
3 years ago
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What is the value of the 7 in 7 6 4
borishaifa [10]
The value of 7 is in the hundreds place
5 0
3 years ago
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I need help on this​
love history [14]

Answer:

-11/4

Step-by-step explanation:

 (-8 - 3)/[3-(-1)]= -11/4

5 0
3 years ago
Double a number decreased by 4
Wittaler [7]

Answer:

2x-5 if u want u can substitute any other variables and constant

3 0
2 years ago
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