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antiseptic1488 [7]
3 years ago
10

Y = 2x x + y = −6 the answer should be like this (x,y) or ( , )

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Answer:

(-2, -4)

Step-by-step explanation:

Given:

The system of equations to solve is given as:

y=2x\\\\x+y=-6

In order to solve this system of linear equations, we use substitution method.

In substitution method, we substitute the value of any one variable in the other equation.

So, we substitute the value of 'y' from first equation in the second equation.

This gives,

x+2x=-6\\\\3x=-6

Dividing both sides by 3, we get:

\frac{3x}{3}=\frac{-6}{3}\\\\x=-2

Now, y=2x=2\times -2=-4

Therefore, the solution is (-2, -4)

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What is the inverse of the function f(x) = 8x+1
Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

Or

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1        

<u>Switch the "x" and "y" variables</u>

x = 8y + 1

<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting

8y + 1 = x            

8y + 1 - 1 = x - 1               Subtract 1 from both sides

8y = x - 1

\frac{8y}{8}=\frac{x-1}{8}        Divide both sides by 8 and simplify

y=\frac{x-1}{8}                  Inverse equation

y=\frac{1}{8}x-\frac{1}{8}             Slope-intercept form

<u>Use function notation</u>, change "y"

f^{-1}(x)=\frac{x-1}{8}                      Simplified

f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}                   Slope-intercept form

6 0
3 years ago
Jasper Diaz apostrophe Balance Sheet. Total assets are 15,800 dollars. Total liabilities are 4,400 dollars.
Thepotemich [5.8K]

Answer:

the total value of jaspers assets is:  $15,800

the total value of jaspers liabilities is: $4,400

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Lonnie threw 50 free throws and missed 16 of them. If Lonnie throws 75 free throws, what can be predicted about the number she w
aleksklad [387]

Answer:

51

Step-by-step explanation:

we know that

Lonnie threw 50 free throws and missed 16 of them

That means

Lonnie threw 50 free throws and was successful in 50-16=34

so

using proportion

\frac{50}{34}=\frac{75}{x}\\\\x=34(75)/50\\\\x= 51

therefore

If Lonnie shoots 75 free throws, she' ll successfully make 51 of them.

4 0
3 years ago
Read 2 more answers
Señora Cruz will use four triangles on the door decor. How many square centimeters of paper will Señora Cruz use to create the t
mafiozo [28]

Answer:

  50.32 cm²

Step-by-step explanation:

The area of a triangle can be computed using the formula ...

  A = 1/2bh

For a triangle with base 3.7 cm and height 6.8 cm, the area is ...

  A = 1/2(3.7 cm)(6.8 cm) = 12.58 cm²

__

For four (4) triangles, Señora Cruz will need 4 times this area:

  4 × (12.58 cm²) = 50.32 cm²

Señora Cruz will need 50.32 cm² of paper to create her door decor.

4 0
2 years ago
What is the value of 7 and 506,087
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