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4vir4ik [10]
3 years ago
13

Number 27.

Mathematics
1 answer:
atroni [7]3 years ago
5 0
<h3>Answer:</h3>

none of these has "no solution"

<h3>Explanation:</h3>

A. The solution is (8/3, 3)

B. The second equation is -1/2 times the first, so these describe the same line. The system has an <em>infinite number of solutions</em>.

C. The solution is (-4, -2)

D. The solution is (4, -2)

E. The second equation is 2 times the first, so these describe the same line. The system has an <em>infinite number of solutions</em>.

_____

A system of equations will have "no solution" when it describes parallel lines—lines that do not intersect. In standard form, such equations are recognizable by their different constants. For example,

  • 3x -4y = -4
  • 3x -4y = 20 . . . . . . 20 is different from -4

have different constants, so the equations describe parallel lines.

We could multiply one of these by -2 and the system would still be "inconsistent"—having no solution.

  • 3x -4y = -4
  • -6x +8y = -40
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What is the sale price for your purchase if you have a 20% off coupon and you buy a shirt for $19.99 and pants for $10.
Andrew [12]
Answer: I believe it is $23.99

Explanation:
19.99+10= 29.99
29.99x0.2= 5.992
29.99-5.99= $23.99

I hope this helped!
4 0
3 years ago
Estimate 10/12 − 3/8 using benchmark values. Your equation must show the estimate for each fraction and the final estimate for t
Maksim231197 [3]

Answer: \frac{11}{24}

Step-by-step explanation:

Give expression is,

\frac{10}{12}-\frac{3}{8}

Since L.C.M ( 12, 8 ) = 24

=\frac{10\times 2}{12\times 2}-\frac{3\times 3}{8\times 3}

=\frac{20}{24}-\frac{9}{24}

=\frac{20-9}{24}

=\frac{11}{24}

\text{Hence, }\frac{10}{12}-\frac{3}{8}=\frac{11}{24}

8 0
3 years ago
A food manufacturer uses an extruder (a machine that makes bite size cookies)that yields revenue for the firm at a rate of $200
julsineya [31]

Answer:

$1300

Step-by-step explanation:

The extruder yields a revenue of $200per hour

Y denotes the number of breakdown per day.

The daily revenue generated is given as

R = 1600 - 50Y^2

We have an average of 2 breakdown per day

Lamda = 2

Represent lamda as β

E(Y) = β

E(Y(Y-1)) = β^2

E(Y^2) = E[Y(Y-1)] + E(Y)

= β^2 + β

E(R) = E(1600 - 50Y^2)

= 1600 - 50E(Y^2)

= 1600 - 50(β^2 +β)

Recall that β = lamda = 2

= 1600 - 50(2^2 + 2)

= 1600 - 50(4+2)

= 1600 - 50(6)

= 1600 - 300

= 1300

$1300

The expected daily revenue of the extruder is $1300

3 0
3 years ago
What is the integral of 1/(y²-1)
ANTONII [103]
Hello here is a solution : 

3 0
3 years ago
Given the equation...
Semenov [28]
Should be all real numbers
8 0
3 years ago
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