1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
drek231 [11]
3 years ago
11

{ x + y = -2 { x - y = -8

Mathematics
2 answers:
g100num [7]3 years ago
7 0

Answer:

(-5, 3)

Step-by-step explanation:

Elimination seems like the best method to use here.

x+y=-2

x-y=-8

---------

2x=-10

Divide everything by two

x=-5

Now plug it back into one of the original equations,

-5+y=-2

Add 5 to everything

y=3

iogann1982 [59]3 years ago
7 0

Answer:

The solution is (-5, 3).

Step-by-step explanation:

If you have been told to solve this system of linear equations, start out by adding them together.  The y terms then drop out, and we obtain:

2x = -10, implying that x = -5.

Selecting the first equation as our starting point in finding y:

-5 + y = -2.

We need to isolate y.  To do this, add 5 to both sides:

y = -2 + 5, or y = 3.

Then the solution is (-5, 3).

You might be interested in
For all values of x
Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0
3 years ago
Suppose the diameter of a circle is 4. What is its radius? and please explain
Olin [163]
The radius of a circle is always half of the diameter of the circle. In this case, the diameter is 4, meaning that when we halve 4, we will get our radius. Therefore, the radius of the circle is \boxed{2}. Hope this has helped you understand and have a great day!
6 0
3 years ago
Read 2 more answers
PLS HELP SOLVE! and pls show work
Maurinko [17]

Answer:

see explanation

Step-by-step explanation:

(\frac{g}{h})(t) = \frac{g(t)}{h(t)} = \frac{t+3}{3t-4}

6 0
3 years ago
Identify the range of the function shown in the graph.<br><br> help
amm1812

Answer:

-5 ≤ y ≤ 5

Step-by-step explanation:

maximum y value is 5

minimum y value is -5

-5 ≤ y ≤ 5

5 0
3 years ago
Rate of Change- A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below
nirvana33 [79]
We can create two points.

30 feet below the surface of the water 10 seconds after he entered the water
100 feet below the surface after 40 seconds

So we have (10, 30) and (40, 100)

Plug this values into the slope formula:

m = y2-y1/x2-x1

m = (100 - 30)/(40 - 10)

m = 70/30

m = 2 1/3
3 0
3 years ago
Other questions:
  • In 1955 an antique car that originally cost $3,668 is valued today at $62,125 if in excellent condition, which is 1 3/4 times as
    5·1 answer
  • How mamy ways can you add three differemt numbers to get a sum of 20
    5·2 answers
  • ΔMNO is shown.
    9·1 answer
  • Which triangles must be congruent?
    5·1 answer
  • Given: y" - 2y' = 6t + 5e^2t. Find the correct form to use for y_p if the equation is solved using Undetermined coefficients. Do
    10·1 answer
  • We have learned that the sum of the angles of a triangle is equal to 180 degrees. Is that just a random number? Why do you think
    5·1 answer
  • Solve the equation for 5x^2-4x=6
    8·1 answer
  • The GOAL of any equation is to get the?................
    12·1 answer
  • Please look at the box
    15·2 answers
  • Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet.What is the length of the rug
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!