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solmaris [256]
3 years ago
13

Solve the system of equations below y=3/2x-2 and 2x+y=-4

Mathematics
2 answers:
Dvinal [7]3 years ago
8 0
Since y=(3/2)x-2
subsitute 3/2x-2 for y in 2nd equation
2x+3/2x-2=-4
add 2 to both sides
2x+3/2x=-2
times  2 both sides
4x+3x=-4
7x=-4
divide both sides by 7
x=-4/7
sub that back
y=3/2x-2
y=3/2(-4/7)-2
y=-12/14-2
y=-6/7-2
y=-6/7-14/7
y=-20/7


(x,y)
(-4/7,-20/7)
Anettt [7]3 years ago
5 0
Rewrite the 2nd equation as 

y = -4 -2x

then substitute into the 1st equation so you get

-4 - 2x =  \frac{3}{2} x - 2

then solve for x. 

when you get the value of x, substitute it into either equation to find y

hope it helps
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A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in p
Romashka [77]

Answer: -1.5

Step-by-step explanation:

When population standard deviation is known, then the formula to find the z-test statistic for population mean is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where n= Sample size.

\mu = Population mean

\overline{x} = Sample mean

\sigma= Population standard deviation.

As per  given , we have \mu=120 (average infants contracted typhoid each month)

\sigma=40

n= 4 (No. of months)

\overline{x}=90

Then , the value of the appropriate test statistic will be :

z=\dfrac{90-120}{\dfrac{40}{\sqrt{4}}}

z=\dfrac{-30}{\dfrac{40}{2}}

z=\dfrac{-30}{20}

z=-1.5

Hence, the value of the test statistic = -1.5

8 0
3 years ago
Round the decimal equivalent of 856 1/6 to the nearest hundredth. What number is in the hundredth place PLEASE HELP
Vika [28.1K]

Answer:

The answer is 856.17.

Step-by-step explanation:

If you made the fraction into a decimal, you would get 856.166666666. If you round it to the nearest hundredth, you would get 856.17.

7 0
3 years ago
200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
2 years ago
Complete the table of values for y=6-2x<br><br> Also please work out 6-2x=3
Whitepunk [10]

Answer:

Step-by-step explanation:

x=0     y=6-2*0=6

x=1      y=6-2*1=4

x=2      y=6-2*2=2

x=3      y=6-2*3=0

6-2x=3

-6       -6

-2x=-3

2x=3

:2    :2

x=3/2

x=1.5

3 0
4 years ago
The ratio of red marbles to blue marbles in a jar is 2 to 5. If there are a total
Kobotan [32]
There are 16 red marbles
4 0
3 years ago
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