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2 years ago

Sketxh the graph of y=(x+3)^3 and state the points where the graph crosses the axes

Mathematics

1 answer:

gtnhenbr [62]2 years ago

6 0

Answer: the graph crosses the x-axis at x = -3

Step-by-step explanation:

y = (x + 3)³

To find where the graph crosses the x-axis, let y = 0 and solve for x:

0 = (x + 3)³

0 = (x + 3) with a multiplicity of 3

-3 = x with a multiplicity of 3.

Since multiplicity is an ODD number, the graph CROSSES the x-axis at x = -3

Graph:

Leading coefficient is POSITIVE so right side goes to +∞
Degree of polynomial is ODD so left side goes to -∞

graph is attached

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2 years ago

Given: PRST is a square

xxTIMURxx [149]

Answer:

$(1-\sqrt{2})a^2$

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

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Thus,

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$A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}$

Consider right triangle PTS. The area of this triangle is

$A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}$

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

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3 years ago

Find x and y Need done before 11:59

katen-ka-za [31]

Answer:

Step-by-step explanation:

(3x + 6)° = 78°

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3 years ago

Read 2 more answers

How many digits do i have to write for scientific notation?

butalik [34]

All significant digits...

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3 years ago

(B)

astraxan [27]

Answer:

2. Line RT = 11x - 17, Line PT= 5x + 13

11x - 17 = 5x + 13

-5x. -5x

6x - 17 = 13

+17. +17

6x= 30

÷6. ÷ 6

x = 5

(B). According to the rules of a parallelogram, if angle S is 50°, the angle on the same side will be supplementary to it. So, angle R equals 130° and angle Q is also 50°.

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3 years ago

Sketxh the graph of y=(x+3)^3 and state the points where the graph crosses the axes​

Sketxh the graph of y=(x+3)^3 and state the points where the graph crosses the axes