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3 years ago

(-1,-2) and (2,13) what is the slope

Mathematics

1 answer:

masya89 [10]3 years ago

6 0

Answer:

slope is 5

Step-by-step explanation:

first you subtract the second y minus the first y then you subtract the second x minus the first x and then u divide the result of y over the result of x :)

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By selling 20 oranges for#1.35 a trader makes a profit of 8% what is the percentage gain or loss if he sells the same 20 oranges

pav-90 [236]

Answer:

12% loss

Step-by-step explanation:

The selling price is the sum of the cost price and the markup. Here, the markup (profit) is expressed as a percentage of the cost price.

<h3>Cost price</h3>

The relation between selling price and cost price is ...

selling price = cost price + cost price × markup fraction

selling price = cost price × (1 + markup fraction)

Then the original cost price is ...

cost price = (selling price) / (1 + markup fraction)

cost price = #1.35 / (1 +8%) = #1.25

<h3>Profit</h3>

After the change in selling price, we can find the markup fraction (profit rate) to be ...

1 + markup fraction = (selling price)/(cost price)

markup fraction = (selling price)/(cost price) -1

markup fraction = #1.10/1.25 -1 = 0.88 -1 = -0.12

The trader has a 12% loss when selling the oranges at #1.10.

6 0

2 years ago

What are the excluded values of x for x + 1/ x^2-1

Snezhnost [94]

The excluded values of x are $x=1$ and $x=-1$

Explanation:

The given expression is $\frac{x+1}{x^2-1}$

The excluded values are the values in the fraction which makes the denominator equal to 0.

Thus, from the definition of excluded values, let us equate the denominator to 0.

Hence, we have,

$x^{2} -1=0$

Adding both sides of the equation by 1, we get,

$x^{2} =1$

Taking square root on both sides of the equation, we get,

$x=\sqrt{1}$

Simplifying, we get,

$x=\pm1$

Thus, the excluded values of x are $x=1$ and $x=-1$

6 0

4 years ago

If f(t)= 3t^2-2, find f(k-2)

DedPeter [7]

By plugging (k-2) in t, we can write that
$f(k-2)=3(k-2)^{2}-2=3(k^{2}-4k+4)-2=3 k^{2}-12k+12-2=$ $3 k^{2}-12k+10$

7 0

4 years ago

Which number comes next in this series? 1/64, 1/32, 1/16, 1/8, 1/4, 1/2, ?

alexgriva [62]

This is a geometric sequence, with the first term: 1/64

The common ratio is found through the ratio of the first two terms and the second and third term.
$\frac{\frac{1}{32}}{\frac{1}{64}} = \frac{\frac{1}{16}}{\frac{1}{32}}$
$\frac{1}{32} \cdot 64 = \frac{1}{16} \cdot 32$

Since there is a common difference of 2, we can generalise this sequence to find the nth term:
$T_n = ar^{n-1}$
a is the first term, r is the common ratio, and n is the nth term in the sequence.

$T_n = \frac{1}{64} \cdot 2^{n-1}$
Substituting n = 7, we get:
$T_7 = \frac{1}{64} \cdot 2^{7 - 1}$
$T_7 = \frac{1}{64} \cdot 64$
$T_7 = \frac{64}{64} = 1$

Thus, the next term in the sequence is 1.

6 0

3 years ago

Is it possible to form a triangle with<br> side lengths 5, 3, and 5 units?

7nadin3 [17]

Answer:

Yes

Step-by-step explanation:

Isosceles triangle with base of 3 units and sides of 5 units

8 0

3 years ago

Read 2 more answers