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wlad13 [49]
3 years ago
12

-3/7, -8/3 and -5/2,-2 slope

Mathematics
1 answer:
Alja [10]3 years ago
8 0
So the points are (-3/7,-8/3) and (-5/2,-2)
to find the slope do
(y2-y1)/(x2-x1)
(x,y)
x1=-3/7
y1=-8/3
x2=-5/2
y2=-2

subsitute
\frac{-2-( \frac{-8}{3} )}{ \frac{-5}{2} - \frac{-3}{7} }
simplify by finding similar denomenators
\frac{\frac{-6}{3}-( \frac{-8}{3} )}{ \frac{-35}{14} - \frac{-6}{14} }
\frac{\frac{-6}{3}( \frac{8}{3} )}{ \frac{-35}{14} + \frac{6}{14} }
add
\frac{\frac{2}{3}}{ \frac{-29}{14}}
multiply top and bottom by \frac{-14}{29
\frac{\frac{-28}{87}}{1}
\frac{-28}{87}
answer is
slope=\frac{-28}{87}


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Emily Elizabeth has $1.50 in dimes and nickels. She has 22 coins in all. How many nickels does she have?
Marat540 [252]

Answer:

14

Step-by-step explanation:

We can set up the following system of equations:

\begin{cases}10d+5n=150\\d+n=22\\\end{cases}, where d is the number of dimes she has and n is the number of nickels she has.

Multiplying the second equation by -5 and adding both equations lets us isolate and solve for d:

10d+5n+(-5(d+n))=150+(-5(22)),\\5d=40,\\d=8

Plugging d=8 into any of the two equations will let us solve for n:

8+n=22,\\n=\fbox{$14$}.

Therefore, she has 14 nickels.

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3 years ago
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Step-by-step explanation:

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If paper was £1.99 a pack and is now £3.98 a pack, what is the percentage increase in the price of the product?
spayn [35]

Answer:

100%

Step-by-step explanation:

The initial price of the paper = 1.99

The final price of the pack of paper = 3.98

We need to find the percentage increase in the price of the product. It can be solved as follows :

\%=\dfrac{3.98-1.99}{1.99}\times 100\\\\=100\%

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Hiiiiii peoples<br><br> Solve the inequality 6x^2-x&lt;2 please show all steps
Orlov [11]

Answer:(3x−2)⋅(2x+1)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

STEP

1

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Equation at the end of step 1

 ((2•3x2) -  x) -  2

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  6x2-x-2  

The first term is,  6x2  its coefficient is  6 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   6 • -2 = -12  

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   -1 .

     -12    +    1    =    -11  

     -6    +    2    =    -4  

     -4    +    3    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  3  

                    6x2 - 4x + 3x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (3x-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (3x-2)

Step-5 : Add up the four terms of step 4 :

                   (2x+1)  •  (3x-2)

            Which is the desired factorization

Final result :

 (3x - 2) • (2x + 1)

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