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3 years ago

Solve this system of equations.

Mathematics

2 answers:

Dennis_Churaev [7]3 years ago

4 0

Answer:

x = -3 and y = 0

Step-by-step explanation:

It would be more direct to apply elimination in this problem, rather than substitution:

2x + 6y = -6 ⇒ 2x + 6y = -6 ⇒ 10x = - 30

+ 2(4x - 3y = -12) + 8x - 6y = -24

Now let us solve for x through simply algebra:

10x = -30,

x = -3

Substitute this value of x into the first equation to get the value of y:

2( -3 ) + 6y = -6,

-6 + 6y = -6,

6y = 0,

y = 0

nasty-shy [4]3 years ago

3 0

Answer:

-3 and 0

Step-by-step explanation:

i hope this helps :)

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Given P=1/2x(y+z),find the value of P,if x=6 and y=9 and z=7

GREYUIT [131]

P=1/2 x(y+z)
P=1/2 (6)[9 + 7]
P = 3(16)
P = 48

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3 years ago

Which expresses 54 : 81 in its simplest form?

Bingel [31]

The answer would be 2:3.

So basically two - thirds.

Hope this helps and if it does happy studying.

5 0

2 years ago

Factor completely. 28 - 7x^2

FrozenT [24]

Answer:

7(4 - x^2)

Step-by-step explanation:

Well you just factor out 7, since that is the GCF. 7(4 - x^2)

Hope this helps

8 0

2 years ago

consider the following scenario: Assume daily protein intake values in a population of athletes are known to have a standard dev

Kipish [7]

Answer:

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{58.6}{\sqrt{267}} = 7.03$

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.

The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

5 0

3 years ago

What is the value of p ?

VLD [36.1K]

Answer:

p = 35

Step-by-step explanation:

180 - 125 = 55

180 - 90 = 90

55 + 90 = 145

180 - 145 = 35

p = 35

6 0

3 years ago