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2 years ago

let g(x)=x+2. Find f(x) if f(x) is a quadratic function of the form f(x)=ax^2+bx+c and f(g(x))=2x^2-x+3

1 answer:

5 0

Let g(x) = x + 2
f(g(x)) = 2x^2 - x + 3
= 2(x^2 - x/2 + 3/2)
=2 (x^2 + 4x + 4) - 9x - 5
=2 (x+2)^2 - 9(x+5/9)
=2 (x + 2)^2 - 9 (x + 2) +13
f(x) = 2x^2 -9x + 13

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Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL of sauce. Raphael's tomato sauce has 12 cloves of g

ivolga24 [154]

Answer:

Emiy would think that it is not the perfect tomato sauce because it has 12 cloves of garlic in every 900 mL of sauce and it should have 14.4 cloves of garlic in every 900 mL of sauce to be perfect.

Step-by-step explanation:

The statement indicates that for Emily the perfect tomato sauce have 8 cloves of garlic in every 500 mL. With that we can calculate the amount of cloves of garlic that a tomato sauce should have for Emily to consider it to be perfect using the rule of three:

8 cloves of garlic → 500 mL

x ← 900 mL

x= (8*500)/900= 14.4

According to this, the perfect tomato sauce would need to have 14.4 cloves of garlic in every 900 mL. As Raphael's tomato sauce only has 12, it means that Emily would think that it is not the perfect tomato sauce.

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2 years ago

How many solutions does the system of equations below have? y = 6x − 7 y = 5 3 x + 1 3

True [87]

Answer:

There will be 1 solution to the system of equations.

Step-by-step explanation:

y = 6x - 7

y = 53x + 13

Since the two equations have different slopes and different y-intercepts, there will be 1 solution to the system of equations.

tadah!

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2 years ago

What is the length of the diagonal, ddd, of the rectangular prism shown below?

Papessa [141]

Answer:

Step-by-step explanation:

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2 years ago

I need help... plssss :))

vivado [14]

Answer:

(1, -1), (1, -2), (2, -3), (2, -4)

Step-by-step explanation:

✔️Each ordered pair is written as (input, output).

Thus, we would have the following:

(1, -1), (1, -2), (2, -3), (2, -4)

✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.

So, the answer is NO. It is not a function.

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2 years ago

There are 25,400,000 nanometers in an inch. What is this number written in scientific notation?

Ann [662]

Answer:

254 x 10^5

Step-by-step explanation:

Hope this helps :)

If anything is misunderstood plz comment and I will change to the answer which you give me thank you very much :)

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2 years ago

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