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3 years ago

Find three different integer solutions to the equation -3x-y=-1

Mathematics

1 answer:

pshichka [43]3 years ago

7 0

Answer:

The integers are -3, x, and -y

Step-by-step explanation:

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Which ratio is not equivalent to 3/5 ? <br>A. 15/20 <br>B.6/8 <br>C.30/50 <br>D.12/20

vova2212 [387]

Answer:

A & B

Step-by-step explanation:

15/20 is not equal

6/8 is not equal

30/50 is equal

12/20 is equal

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2 years ago

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Anna007 [38]

A because you have to do 3+2+6+5+4+8

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Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?

Anettt [7]

<h3>Answer: B) f(x) is translated 5 units up</h3>

Recall that y = f(x) since both are outputs of a function

Saying f(x)+5 is the same as y+5. So we're adding 5 to each y coordinate of each (x,y) point. A point like (1,7) turns into (1,12) after doing this shifting.

Doing this to every point shifts the entire f(x) curve 5 units up to get g(x)

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3 years ago

L. Extend Your Thinking Dave is packin

zlopas [31]

Dave can put 5 of each fruit into each box without exceeding 5 kilograms.

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3 years ago

If x is divided by 5 the remainder is 4. If why is divided by 5 the remainder is 1. What is the remainder when x+y is divided by

Naddik [55]

Answer:

Step-by-step explanation:

We are given the following:

$\frac{x}{5}=q_1+\frac{4}{5}$ (equ. 1)

$\frac{y}{5}=q_2+\frac{1}{5}$ (equ. 2)

We are asked:

$\frac{x+y}{5}=q_3+\frac{r}{5}$ (equ. 3) , what is $r$ ?

The $q_i$ 's represent the quotients you get.

$r$ is the remainder of dividing $x+y$ by 5.

We know that $r$ is a number in {0,1,2,3,4}.

$x=5q_1+4$ (I got this by multiplying both sides of equ 1. by 5.)

$y=5q_2+1$ (I got this by multiplying both sides of equ 2. by 5.)

Let's add these equations together:

$x+y=(5q_1+5q_2)+(4+1)$

Factoring the 5 out for the $q_i$ 's part and simplify 4+1 gives:

$x+y=5(q_1+q_2)+5$

So $5$ can't be the remainder of dividing something by 5 but see that we can factor this right hand expression more as:

$x+y=5(q_1+q_2+1)$

So $q_3=q_1+q_2+1$ while there is no remainder (the remainder is 0).

Let's do an example if you are not convinced at this point that the remainder will be 0.

So choose x=9 since 9/5 gives a remainder of 4.

And choose y=16 since 16/5 gives a remainder of 1.

x+y=9+16=25 and 25/5 gives a remainder of 0.

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3 years ago