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3 years ago

Help please will be marked as brainliest if correct

Mathematics

2 answers:

Archy [21]3 years ago

8 0

Answer:

h = 10 bc 4.7 x 10 = 47

f = 36 bc 6 x 36 = 216

g = 3.5 bc 3.5 + 1.6 = 5.1

unlock number equation = f - g x h or 36 - 3.5 x 10

unlock number: 1

Alex73 [517]3 years ago

3 0

Answer:

Unlock number: 1

Step-by-step explanation:

6f = 216

6f/6 = 216/6

f = 36

1.6 + g = 5.1

5.1 - 1.6 = 3.5

g = 3.5

4.7h = 47

4.7h/4.7 = 47/4.7

h = 10

f - g x h

36 - 3.5 x 10

36 - 35

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The graph of this function is shifted downwards and the axis of symmetry remains x=1. Which function below the equation of the n

Natali5045456 [20]

Answer:

$y=-x^{2}+2x$

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Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex

The axis of symmetry is equal to the x-coordinate of the vertex

$x=h$

If a> 0 then the parabola open upward (vertex is a minimum)

If a< 0 then the parabola open downward (vertex is a maximum)

In this problem we have

$y=-x^{2} +2x+3$

The vertex is the point $(1,4)$ ------> observing the graph

The axis of symmetry is $x=1$

If the graph of this function is shifted downwards and the axis of symmetry remains x=1

then

The x-coordinate of the vertex of the new graph must be equal to 1

The y-coordinate of the vertex of the new graph must be less than 4

The parabola of the new graph open downward

therefore

Verify each case

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Convert to vertex form

$y=-(x^{2}-2x)$

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$y-1=-(x-1)^{2}$

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case b) $y=-x^{2}-2x+3$

Convert to vertex form

$y-3=-(x^{2}+2x)$

$y-3-1=-(x^{2}+2x+1)$

$y-4=-(x+1)^{2}$

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The vertex is (-1,4)

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