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3 years ago

Consider the system of equations.

1 answer:

4 0

We know that
The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same

that means

if a=b and c=d
a-c=b-d

then
−8x+4y=0----------> equation 1
a=(-8x+4y) b=0

−8x+7y=6----------> equation 2
c=(-8x+7y) d=6

therefore

(-8x+4y)-(-8x+7y)=0-6
-8x+4y+8x-7y=-6
-3y=-6

the answer is the option
Subtraction Property of Equality

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Simplify the expression: 2(4x-3)-7(x+1)

Aliun [14]

2(4x-3)-7(x+1) first distribute
8x-6-7x+7 then combine the x's
x+13

4 0

3 years ago

What is the density of a sample with a mass of 5250g and a volume of 4.5mL?

just olya [345]

Step-by-step explanation:

Density=5250/4.5=1166.66 g/ml

7 0

3 years ago

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for t

rjkz [21]

Answer:

COV (all stocks) = 0.55

COV (stocks and bonds) = 0.82

Step-by-step explanation:

Coefficient of Variation is used to measure variability.

It is defined as the ration of standard deviation and the mean.

It can be used to compare variability of two population or two samples.

Formula:

$\text{Coefficient of Variation} = \displaystyle\frac{\text{Standard Deviation}}{\text{Mean}}$

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

x: 14, 0, 39, 25, 32, 27, 28, 14, 14, 15

$Mean = \frac{208}{10} = 20.8$

$Standard~Deviation = \sqrt{\frac{1169.6}{9} } = 11.39$

$Coefficient~of~Variation = \frac{11.39}{20.8} = 0.55$

y = 6, 2, 29, 17, 26, 17, 17, 2, 3, 5

$Mean = \frac{124}{10} = 12.4$

$Standard~Deviation = \sqrt{\frac{924.4}{9} } = 10.13$

$Coefficient~of~Variation = \frac{10.13}{12.4} = 0.82%$

Since coefficient of variation of x is less compared to y, thus it could be said bonds does not reduce overall risk of an investment portfolio.

6 0

2 years ago

-5+7=7+-5 is this number sentence true or false

vovikov84 [41]

Answer: True

Step-by-step explanation:

We can simplify each of the expressions on either side to see if they are equal.

Left side: -5+7=7-5= 2

Right side: 7+-5=7-5= 2

Yes, they are equal.

7 0

1 year ago

Read 2 more answers

In Bangor it’s -3 F in Fairbanks it’s -12 F in Fargo it’s -8 F and in Calgary it’s -15 F in which city is to the coldest?

jonny [76]

Answer:

Calgary is the coldest

Step-by-step explanation:

The simple way to determine this will be to change the value of temperatures given in Fahrenheit to Celsius

32 F = 0°C

Formula to apply will be (T-32)×5/9 -------------where T is temperatures in Fahrenheit

Bangor is -3F-------------------change to Celsius

(-3-32)×5/9 =-35 × 5/9 = -19.44°C

Fairbanks is -12 ------------------------change to Celsius

(-12-32)×5/9 = -44 × 5/9 = -24.44°C

Fargo is -8 F ---------------------Change to Celsius

(-8-32)×5/9= -40×5/9 = -22.22°C

Calgary is -15 F-------------------------Change to Celsius

(-15-32)×5/9 = -47×5/9 = -26.11°C--------------coldest

3 0

3 years ago