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2 years ago

Which system of linear equations can be solved using equation [x y] = [1/4 3/4 1 2] [28 -12]

Mathematics

1 answer:

ahrayia [7]2 years ago

6 0

-8x+3y=28

4x-y=-12

Step-by-step explanation:

Let's find x and y from matrices and then check for this systems.

$\left \[[ {{\frac{1}{4} *28-\frac{3}{4}-12 } \atop {1*28-2*12}} \right.]$

Simplify, so we got

7-9

28-24

------

So x=-2

y=4

So we need to put those values and check system.

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If x+y=16 and x-y=-2, what is the value of xy?

Fantom [35]

Answer:

Y=7 and

X=9

Step-by-step explanation:

X+Y=16

X=2+Y

2+Y+Y=16

2+2Y=16

2Y=16-2

2Y=14

2Y/2=14/2

Y=7

X =2+Y

So X=9

8 0

1 year ago

Melanie has a piece of cloth 12 and 1/3 yards long. How many 3/4 yard-long pieces can be cut from the cloth?

Harrizon [31]

This is a division problem. First, get 12 1/3 into fraction form instead of mixed number form to make your life easier;
$12 \frac{1}{3} = \frac{36}{3} + \frac{1}{3} = \frac{37}{3} 
$
Now, divide the two fractions. Since this is fraction division, the reciprocal is flipped and the two fractions multiplied.
$\frac{37}{3} * \frac{4}{3} = \frac{148}{9} = 16 \frac{4}{9} 
$
The answer from the fraction division is 16 and four-ninths, but because you need a whole number as an answer,
the answer is 16 pieces.

8 0

4 years ago

Read 2 more answers

Find the common difference of the arithmetic sequence -6,2, 10,

Yuki888 [10]

Answer:

the common ratio is +8

10 - 2 = 8

2 - (-6) = 8

8 0

3 years ago

What is the molar solubility of magnesium fluoride in a solution that is 0.40 m f− ions? the ksp of mgf2 is 6.4 × 10−9. hints wh

velikii [3]

Answer: MgF2 ====â‡’ Mg+2 + 2F- Ksp = [Mg+2][F-]^2 Let S = molar solubility of MgF2 [Mg+2] = S ; [F-] = 2s Since the [F-] is initially 0.40 M, then [F-] = 0.40 + 2S 6.4 x 10^-9 = (S) (0.40 + 2S)^2 ; one can neglect the 2S in the 0.40 + 2S expression since it is very, very small compared to the 0.40 already present. 6.4 x 10^-9 = S(0.40)^2 S = 4.0 x 10^-8 Molar solubility = 4.0 x 10^-8

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4 years ago

A researcher determines that students are active about 60 + 12 (M + SD) minutes per day. Assuming these data are normally distri

rjkz [21]

Answer:

The correct option is (b).

Step-by-step explanation:

If X $\sim$ N (µ, σ²), then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z $\sim$ N (0, 1).