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3 years ago

What is the slope of this graph?

Mathematics

2 answers:

slamgirl [31]3 years ago

7 0

b. -3/4 because the line of the slope is negative

ICE Princess25 [194]3 years ago

7 0

Answer: $\dfrac{-3}{4}$

Step-by-step explanation:

The slope of a line passes through two points (a,b) and (c,d) is given by :-

$m=\dfrac{d-b}{c-a}$

From the give graph, the line is passing through (0,2) and (4,-1).

Then the slope of line will be :-

$m=\dfrac{-1-2}{4-0}\\\\=\dfrac{-3}{4}\\\\=\dfrac{-3}{4}$

Hence, the slope of the line on the graph

$=\dfrac{-3}{4}$

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Answer:

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Step-by-step explanation:

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Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit

Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is $2$

Part 2) The vertex is the point $(1,8)$

Part 3) The equation of the axis of symmetry is $x=1$

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is $y=2x^{2}-4x+10$

Step-by-step explanation:

we know that

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

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

where

(h,k) is the vertex of the parabola

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

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

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

$x=h$

In this problem we have

$y=2(x-1)^{2}+8$ -----> this is the equation in vertex form of a vertical parabola

The value of $a=2$

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

The vertex is the point $(1,8)$

$(h,k)=(1,8)$

The equation of the axis of symmetry is $x=1$

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

$y=ax^{2}+bx+c$

Convert vertex form in standard form

$y=2(x-1)^{2}+8$

$y=2(x^{2}-2x+1)+8$

$y=2x^{2}-4x+2+8$

$y=2x^{2}-4x+10$

see the attached figure to better understand the problem

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Solving for x you would get X=6

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Which expression represents: twice a number increased by 39

Cerrena [4.2K]

Answer:

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Step-by-step explanation:

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