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zzz [600]
4 years ago
7

What is the solution to the following equation x+y=6 x-y=2

Mathematics
1 answer:
Lelechka [254]4 years ago
4 0
X+y = 6
x-y = 2

Add both equations, 
2x = 8
x = 4

Substitute it in equation 1, 
4+y = 6
y = 6-4 = 2

In short, x = 4 & y = 2

Hope this helps!
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Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = x − 90.
ycow [4]

The transformation of a function may involve any change. The transformation of the function is Right shift by 90 units.

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)

Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)

Since the function is transformed from f(x)=x to g(x)=x-90, therefore, the transformation of the function is Right shift by 90 units.

Learn more about Transforming functions:

brainly.com/question/17006186

#SPJ1

5 0
2 years ago
Solve the equation -9x+1=-x+17​
Step2247 [10]

Answer:

x=-2

Step-by-step explanation:

-9x+1=-x+17

Add 9x on both sides:

     1=8x+17

Subtract 17 on both sides:

   -16=8x

Divide both sides by 8:

     -2=x

Check x=-2!

-9x+1=-x+17     with x=-2

-9(-2)+1=-(-2)+17

18+1=2+17

19=19

19=19 is a true equation so x=-2 is correct.

5 0
3 years ago
Read 2 more answers
A newspaper advertisement offers a $6500 used car for nothing down and 36 easy monthly payments of
NNADVOKAT [17]

Using simple interest, it is found that:

  • The total amount paid was of $7,084.8.
  • The finance charge was of $584.8.
  • The simple interest rate was of 3%.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

I = Prt

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, the amount paid was of 36 monthly payments of

$196.80, hence:

36 x 196.80 = $7084.8.

The total amount paid was of $7,084.8.

The original price is of $6,500, hence the finance charge was of:

7084.8 - 6500 = $584.8.

For interest, we have that:

I = 584.8, P = 6500, t = 3, hence:

I = Prt

584.8 = 6500(3)r

r = \frac{584.8}{6500 \times 3}

r = 0.03

The simple interest rate was of 3%.

More can be learned about simple interest at brainly.com/question/25296782

3 0
3 years ago
Keith has a package of 75 marbles.He gave an equal number of marbles to each of his 8 friends. How many marbles will be left ove
Snezhnost [94]

Answer:

9

Step-by-step explanation:

6 0
3 years ago
You have two lines. Line A measures 12/16, and line B measures 3/4.
hram777 [196]

Answer:

B

Step-by-step explanation:

Let's compare the two values of 12/16 and 3/4.

Notice that 12/16 isn't a simplified fraction; both the numerator and denominator are divisible by 4. So divide the top and bottom by 4:

12 / 4 = 3

16 / 4 = 4

We are left with:

12/16 = 3/4

Now, we see that Line A and Line B are equal in length, so the answer is B.

<em>~ an aesthetics lover</em>

8 0
3 years ago
Read 2 more answers
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