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mezya [45]
3 years ago
8

What is the slope of the line graphed above?

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

C. -1/2

Step-by-step explanation:

(-2,2)

(0,1)

(2,0)

Change in y = -1

Change in x = 2

Equation: y = -1/2x + 1

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The graph of which function has a minimum located at (4, –3)?
valentinak56 [21]

Answer:

None of the options is the answer to the question

Step-by-step explanation:

we know that

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

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

where

(h,k) is the vertex of the parabola

case A) we have

f(x)=x^{2}+4x-11

In this case the x-coordinate of the vertex will be negative

therefore

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case B) we have

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This case is a vertical parabola open downward (the vertex is a maximum)

The vertex is the point (4,-3) <u>but is not a minimum</u>

see the attached figure

therefore

case B is not the solution

case C) we have

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Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-5=x^{2}-4x

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-5+4=(x^{2}-4x+4)

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

Rewrite as perfect squares

f(x)-1=(x-2)^{2}

f(x)=(x-2)^{2}+1 --------> vertex form

The vertex is the point (2,1)

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case C is not the solution

case D) we have

f(x)=2x^{2}-16x+35  

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-35=2x^{2}-16x

Factor the leading coefficient

f(x)-35=2(x^{2}-8x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-35+32=2(x^{2}-8x+16)

f(x)-3=2(x^{2}-8x+16)

Rewrite as perfect squares

f(x)-3=2(x-4)^{2}

f(x)=2(x-4)^{2}+3 --------> vertex form

The vertex is the point (4,3)

therefore

case D is not the solution

The answer to the question will be the function

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4 years ago
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Solve.
zvonat [6]

Answer:

x

Step-by-step explanation:

<u><em>The correct question is</em></u>

Solve. −3/5x+1/5>7/20 Drag and drop a number or symbol into each box to show the solution

we have

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Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

x

simplify

x

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3 years ago
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