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charle [14.2K]
3 years ago
9

Given the system of equations, what is the value of the system determinant? 2x + y = 8 x - y = 10

Mathematics
2 answers:
Kruka [31]3 years ago
8 0
New term for me - system determinant ??

balu736 [363]3 years ago
8 0
{D=1(-1)-1(1)=-1-1=-2}
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A. 5/18<br><br> B. 4/9 <br><br> C. 1/2<br><br> D. 5/9
schepotkina [342]

|\Omega|=9\cdot8=72\\ |A \cap B|=5\cdot4=20\\\\ P(A \cap B)=\dfrac{20}{72}=\dfrac{5}{18}\Rightarrow \text{A}

5 0
3 years ago
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate
yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)

C'(x) = (-\dfrac{12500}{x^2})  + 20  --- (2)

At C'(x) = 0

\dfrac{12500}{x^2} = 20

\dfrac{12500}{20} = x^2

x^2= 625

x = \sqrt{625}

x = 25

C'' (x) = -12500 \times \dfrac{-2}{x^3} +0

C'' (x) = \dfrac{25000}{x^3}

where; x = 25

C'' (x) = \dfrac{25000}{25^3}

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0
3 years ago
Check all of the ordered pairs that satisfy the equation below.<br> y=2/3x
guajiro [1.7K]

Answer:

D,C

Step-by-step explanation:

5 0
3 years ago
Help me pls !!!!!!!!!!!!!!
ioda

we have to divide 2×4×6×8 your body

7 0
3 years ago
A box contains 15 yellow, 5 orange, and 15 green tennis balls. If Izzy draws a tennis ball at random out of the box what is the
Eva8 [605]

Answer:

P(green or orange) = 4/7

Step-by-step explanation:

We need to know how many tennis balls there are

total = 15 yellow+ 5 orange+ 15 green

        = 35 balls

Probability of green or orange tennis ball is the sum of the green and orange tennis balls over the total balls

P(green or orange) = (green + orange)/total

                                = (15+5)/35

                                =20/35

                                =4/7


4 0
3 years ago
Read 2 more answers
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