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Vera_Pavlovna [14]
3 years ago
7

--8x+3y = 9 10x-3y = -15 Solve for system of equations

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

(-3,-5)

Step-by-step explanation:

2x=-6

x=-3

24+3y=9

3y=-15

y=-5

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Estimate the median number of texts sent per day by this group of middle school students.
soldier1979 [14.2K]

Answer:

33 i think

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Question 1,2, and 3 how do i factor those? Can you show the work and explain how?
DiKsa [7]

1: 3n^{2}+9n+6

notice that each part is divisible by 3

3n^{2} ÷ 3 = n^{2}

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes 3(n^{2} +3n+2)

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

3(n^{2} +2n+n+2)

Now that it's rewritten, you can factor out n + 2 from the equation.

<u><em>the answer is </em></u>

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is n^{2} +2n+n+2 and then each of those by 3, which is 3n^{2} +6n+3n+6 or 3n^{2}+9n+6, our origional equation

2: 28+x^{2} -11x

So I rewrote this as x^{2} -11x+28 (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

x^{2} -4x-7x+28

now we can factor out x from the first expression and -7 from the second

x(x-4)-7(x-4)

and lastly you factor out x-4,

<u><em>which would give you</em></u>

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to x^{2} -11x+28

3: 9x^{2} -12x+4

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as 3^{2} and 4 as 2^{2}, the equation becomes

3^{2} x^{2} -12x+2^{2}

now that 3^{2} x^{2} is ugly so it can be turned into (3x)^{2}

and -12x can be rewritten as -2*3x*2

so our equation now looks like (3x)^2-2*3x*2+2^{2}

There's a rule that says a^{2} -2ab+b^{2} = (a-b)^{2}

In our case, a=3x and b=2

<u><em>so the final answer is</em></u>

(3x-2)^2

5 0
2 years ago
The fastest recorded speed for an eastern gray kangaroo is 40 mph. What was the
Ludmilka [50]

The kangaroo's speed in feet per second is 58.67 feet per second

<h3>What was the kangaroo's speed in feet per second?</h3>

The speed is given as:

Speed = 40 mph

Rewrite properly as

Speed = 40 miles per hour

1 mile = 5280 feet

So, we have

Speed = 40 * 5280 feet per hour

Evaluate

Speed = 211200 feet per hour

1 hour = 3600 seconds

So, we have:

Speed = 211200 feet per 3600 seconds

Evaluate the quotient

Speed = 58.67 feet per seconds

Hence, the kangaroo's speed in feet per second is 58.67 feet per seconds

Read more about speed at:

brainly.com/question/4931057

#SPJ1

3 0
1 year ago
What is the distance between the following two points?<br> (-5, -1) and (-8, -4)
liberstina [14]
The answer is -3 , -3
5 0
3 years ago
Which statements best describe the dot plot or box plot? Check all that apply
Sveta_85 [38]

Answer:

<h2>The box plot is the only display that can be used to show the variability of the data.</h2><h2>The median appears clearly on the box plot at the line within the box: 10.</h2>

Step-by-step explanation:

When we want to represent variability, we use a box plot instead of a dot plot, because the box plot allow us to observe the range of the data set, that is, the minium and the maximum value.

Remember that variability is about the spread of the dataset, and the range is a measure that can give a pretty good idea of it, shown by a box plot.

Therefore, the last hoice is correct.

On the other hand, according to the dot plot, the median is 10, because there are 13 total values, where the central value is 10.

Therefore, the second choice is correct.

3 0
3 years ago
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