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mestny [16]
2 years ago
6

Let g(x) = − x² + 4x + 5. Find g(p).

Mathematics
1 answer:
Vikentia [17]2 years ago
5 0
That would be = -p^2+4p+4
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An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that
Hunter-Best [27]

We are given ratio nickel to zinc to copper = 2:7:9.

From this ratio we can see that <em>ratio of nickel to zinc is 2:7</em>.

Let us assume number of pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc is x pounds.

So, we can setup a proportion as :

x : 4.9 =  2:7

Or

\frac{x}{4.9}=\frac{2}{7}

On cross multiplication, we get

7x= 4.9× 2

7x = 9.8

Dividing both sides by 7, we get

x = 1.4.

<h3>Therefore, 1.4 pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.</h3><h3 />
6 0
3 years ago
What is an equation of the line that passes through the points (-7,3) and (-4,3)?
sammy [17]

Answer:

Step-by-step explanation:

Slope = 0

y-y1=m(x-x1)

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3 0
3 years ago
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
Anarel [89]

Answer:

  (0, -3)

Step-by-step explanation:

The solution to the system of equations is the point at which they intersect. The problem statement tells you that point is (x, y) = (0, -3).

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Often, for a system defined using functional notation, we don't care about the value of the function. We only care about the value of x where the functions have the same value. That is ...

  the solution to f(x) = g(x) is x = 0.

3 0
3 years ago
F(x) = (4x–5)/6 <br> Find the Inverse
noname [10]

Answer:

F^-1 (x) = 3x/2+5/4

Step-by-step explanation:

First, replace f(x) with y

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y  

Replace y with f−1(x) f − 1 ( x )

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Hope this helps!  Stay Safe!

3 0
3 years ago
Divide $8 in the ratio 2:3​
miss Akunina [59]

Answer:

<h2><u><em>3.2$ and 4.8$</em></u></h2>

Step-by-step explanation:

divide $8 in the ratio 2:3​

8 : (2 + 3) = 1.6 (unity)

1.6 * 2 = 3.2 (ratio2)

1.6 * 3 = 4.8 (ratio 3)

----------

3.2 + 4.8 = 8

the answer is good

6 0
2 years ago
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