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inn [45]
3 years ago
9

line m passes through the points (6,1)and(2,-3).line n passes through the points (2,3)and(5,-6).find the point of intersection o

f these lines
Mathematics
1 answer:
scoundrel [369]3 years ago
6 0
So, first you need to put both of them in Point slope. They are, y - 1= 1(x-6) and y - 3 = -3 (x-2). Make them both slope intercept. Which is, y=x-7 and y=-3x-3. Then, g=find the point of interception. Which is, (1,-6)
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What is the principal if...<br> Rate = 22%<br> Time<br> 1 year<br> Interest = $110
Zanzabum

Answer:

Interest=PTR/100

110 =P×1×22/100

11000=22P

P=500

8 0
3 years ago
A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An it
lyudmila [28]

Answer:

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

Step-by-step explanation:

For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.

For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.

Now we find out if the ratios 12/200 and 9/150 are equal.

12/200 = 3/50

9/150 = 3/50

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

7 0
2 years ago
X^3+3x^2y+3xy^2+y^3<br> ————————————<br> X^3+y^3
Hoochie [10]
To factor this fraction, you have be be aware of two special factoring formula:
a^3<span> + </span>b^3<span> = (</span>a<span> + </span>b)(a^2<span> – </span>ab<span> + </span>b^2<span>)

</span><span>(a+b)³ = a³ + 3a²b + 3ab² + b³

You can see the top part in this case is (x+y)^3, and the bottom (denominator) can be factor into (x+y)(x^2-xy+y^2)
we can cancel (x+y), so what we have left is (x+y)^2/(x^2-xy+y^2)
or (x^2+2xy+y^2)/(x^2-xy+y^2)
</span>
7 0
3 years ago
A sample of students at a university took a test that diagnosed their learning styles as active or reflective and also as visual
anastassius [24]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Sample size, n = 39

Correlation Coefficient, r = 0.273

The hypothesis test to examine if there is a positive correlation :

H0 : ρ = 0

If there is a positive correlation, then ρ greater than 1

H0 : ρ > 1

The test statistic :

T = r / √(1 - r²)/(n - 2)

T = 0.273 / √(1 - 0.273²)/(39 - 2)

T = 0.273 / 0.1581541

T = 1.726

The Pvalue using a Pvalue calculator can be be obtained using df = n - 2, df = 39 - 2 = 37

The Pvalue = 0.0463

α= .10 and α= .05

At α= .10

Pvalue < α ; Hence, we reject H0 and conclude that a positive correlation exists

At α= 0.05 ;

Pvalue < α ; Hence, we reject H0 and conclude that a positive correlation exists

3 0
2 years ago
Helpppppp pleaseeeeee !!!!!!!!! !!!!
Sergio [31]

Given:

The function is:

f(x)=6x-3

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

f(x)=6x-3

Step 1: Substitute f(x)=y.

y=6x-3

Step 2: Interchange x and y.

x=6y-3

Step 3: Isolate variable y.

x+3=6y

\dfrac{x+3}{6}=y

Step 4: Substitute y=g(x).

\dfrac{x+3}{6}=g(x)

Therefore, the inverse of the given function is g(x)=\dfrac{x+3}{6} and the graphs of these functions are shown below.

8 0
2 years ago
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