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guajiro [1.7K]
3 years ago
7

Solve the following system of equations using substitution, showing all work.

Mathematics
2 answers:
iogann1982 [59]3 years ago
4 0

Answer:

x= -1

y= 1

Step-by-step explanation:

since y=2x+3; plug into other equation

2x+5(2x+3)=3

(distribute 5 to 2x+3)

2x+10x+15=3

(add like terms)

12x= -12

divide by 12 to get x alone

x=-1

now you cand plug in x to either equation to solve for y, but plug into the first equation to make it easier.

y=2(-1)+3    

y=-2+3

y=1

enyata [817]3 years ago
3 0

x=negative 1

y=1

showing my work Substitute y=2x+3y=2x+3 into 2x+5y=32x+5y=3.

12x+15=312x+15=3

2 Solve for xx in 12x+15=312x+15=3.

x=-1x=−1

3 Substitute x=-1x=−1 into y=2x+3y=2x+3.

y=1y=1

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Point A (6,2) is translated using the vector <-5,2>. Where is the new point located?
Dominik [7]
<h3>Answer:  (1,4)</h3>

======================================================

Explanation:

The notation <-5,2> is the same as writing the translation rule (x,y) \to (x-5,y+2)

It says: move 5 units to the left and 2 units up

The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).

---------

Or you could write out the steps like so

(x,y) \to (x-5, y+2)\\\\(6,2) \to (6-5, 2+2)\\\\(6,2) \to (1, 4)\\\\

We see that (6,2) moves to (1, 4)

4 0
3 years ago
Which of the following describes the end behavior over the domain of the square root function graphed above?
krok68 [10]

Answer:

A.

As x decreases in value, f(x) decreases in value.

As x increases in value, f(x) increases in value.

Step-by-step explanation:

As we move our eyes towards the right following the curve, we see that the y-values are larger and larger. As we move to the right following the curve, the values of the x-variable in the horizontal axis are increasing. Then as x increases, the values of f(x) also increase.

On the other hand, if we move our eyes to the left following the curve, this way looking into what values the function adopts for smaller and smaller values of x, we see that the f(x) values decrease (the curve goes down).

Then, to summarize:

a) As we move to the right, thus increasing the values of x, we see the values of f(x) increase

b) As we move to the left, thus decreasing the values of x, we see the values of f(x) decrease.

7 0
3 years ago
The cost (in dollars) of a custom-made sweatshirt is represented by $3.5n+29.99$ , where $n$ is the number of different colors i
Marina86 [1]

Answer:

Cost = 52.5n + 449.85

Step-by-step explanation:

Given

Cost = 3.5n + 29.99

Required

Determine cost of 15

Cost = 3.5n + 29.99

<em>The cost of 15 sweatshirts is calculated by multiplying the cost of 1 by 15.</em>

So, we have:

Cost = (3.5n + 29.99) * 15

Open Brackets

Cost = 3.5n  * 15 + 29.99 * 15

Cost = 52.5n + 449.85

<em>Hence, the simplified cost of 15 sweatshirts is</em>

Cost = 52.5n + 449.85

3 0
3 years ago
What is 0+0 plz tell me th anwer
dem82 [27]

Answer:

0

Step-by-step explanation:

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8 0
3 years ago
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I'm not sure than. My fault I would need to control f on page source and *maybe* it would work (not  sure)

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