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4 years ago

what is the equation of the function that is obtained from f(x)=x by shifting 1 unit to the right and 2 units down?

Mathematics

1 answer:

kicyunya [14]4 years ago

5 0

We start with f(x) = x.

If the graph of this function is shifted 1 unit to the right, then the new function will be g(x) = x - 1.

If the graph of this last new function is translated 2 units down, then its equation will be h(x) = x - 1 - 2, or h(x) = x - 3.

The desired quation is h(x) = x -3

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4 years ago

Read 2 more answers

Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and counts 320 total legs. (N

prisoha [69]

Answer:

The solution to this system of equations is:

B = 28
T = 19

Step-by-step explanation:

We are given that Jill has 47 bugs and counts a total 320 legs.

We can concur that by adding the total number of butterflies and the total number of tarantulas, we will get 47 bugs.

$\text{tarantulas + butterflies} = 47$

We are also told that T is tarantulas and B is butterflies.

$T + B = 47$

Then, we also know that butterflies have 6 legs and tarantulas have 8 legs. So, for every tarantula, we get a multiple of 8 and for butterflies, we get a multiple of 6. This gives us a new equation:

$6B + 8T = 320$

Now, we can set up a system of equation.

$\displaystyle \left \{ {{B + T = 47} \atop {6B + 8T = 320}} \right.$

Using the first equation, we can solve for B.

$\displaystyle B + T = 47\\\\B + T - T = 47 - T\\\\B = 47 - T$

Then, we can substitute this value of B into the second equation and solve for T.

$\displaystyle 6(47-T)+8T=320\\\\282 - 6T + 8T = 320\\\\282 + 2T = 320\\\\2T + 282 = 320\\\\2T + 282 - 282 = 320 -282\\\\2T = 38\\\\\frac{2T}{2}=\frac{38}{2}\\\\T = 19$

Finally, we can substitute this value of T into the first equation to solve for B.

$B + 19 = 47\\\\B + 19 - 19 = 47 - 19\\\\B = 28$

Therefore, the solution to this system of equations is:

B = 28
T = 19

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3 years ago

Suppose that 5% of the time Todd attends a concert twice a month, 40% of the time he attends a concert once a month, and 55% of

alexira [117]

it’s the right answer anyways hope u pass all your classes thanks bye now purrr 1245/4849

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3 years ago

How do solve for x in 50=-10(x+10)

Svetllana [295]

Answer:

x=-15

Step-by-step explanation:

50=-10(x+10)

Distribute 10: 50=-10x-100

Add 100 to both sides: 100+50=-10x-100+100

150=-10x

Simplify: 150/-10=-10x/-10

x=-15

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3 years ago