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AleksAgata [21]
3 years ago
14

5 Find the slope of the line that contains points (1,-3) and (-4,5).

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

Answer:

gradient = m

    m=\frac{rise}{run}

m=\frac{1-(-4)}{-3-5}

m=\frac{5}{-8}

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A used bookstore will trade 2 of its books for 3 of yours. If Val brings in 18 books to trade, How many books can she get from t
dolphi86 [110]

Answer:

She will get 12 books from the store

Step-by-step explanation:

We can use ratio's to solve

2 books out      x books out

------------------- =-----------------------------

3 books in          18 books in from Val


Using cross products

2 * 18 = 3 *x

Divide each side by 3

2*18 /3 = 3x/3

2*6 = x

12 =x

She will get 12 books from the store

8 0
3 years ago
Read 2 more answers
Which one is not equal
densk [106]

Answer:

A

Step-by-step explanation:

hope this helps i took the test

4 0
3 years ago
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=
Bond [772]

Answer:

The system of linear equations has infinitely many solutions

Step-by-step explanation:

Let's modified the equations and find the answer.

Using the first equation:

2x-y=5 we can multiply by 2 in both sides, obtaining:

2*(2x-y)=2*5 which can by simplified as:

4x-2y=10 which is equal to:

4x=2y+10

Considering the second equation:

=4x+ky=2

Taking into account that from the first equation we know that: 4x=2y+10, we can express the second equation as:

2y+10+ky=2, which can be simplified as:

(2+k)y=2-10

(2+k)y=-8

y=-8/(2+k)

Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

2+k=0 if k=-2

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

For example, if k=0 then

y=-8/(2+0) which give us y=-4, and, because:

4x=2y+10 if y=-4 then x=(-8+10)/4=0.5

Now let's try with k=-1, then:

y=-8/(2-1) which give us y=-8, and, because:

4x=2y+10 if y=-8 then x=(-16+10)/4=-1.5.

Then, the system of linear equations has infinitely many solutions

8 0
3 years ago
Help please it’s needed
julia-pushkina [17]

Answer:

The reasonings I provided are just examples (they are true, though!). Hope this helps!

3 0
3 years ago
Show all work to identify the asymptotes and zero of the faction f(x) = 4x/x^2 - 16.
Reptile [31]

Answer:

  • asymptotes: x = -4, x = 4
  • zeros: x = 0

Step-by-step explanation:

The vertical asymptotes of the rational expression are the places where the denominator is zero:

  x^2 -16 = 0

  (x -4)(x +4) = 0 . . . . . true for x=4, x=-4

  x = 4, x = -4 are the equations of the vertical asymptotes

__

The zeros of a rational expression are the places where the numerator is zero:

  4x = 0

  x = 0 . . . . . . divide by 4

5 0
3 years ago
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