1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Reptile [31]
3 years ago
11

How many roots does the polynomial function, y=(x-8)(x+3)^2 have?

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
7 0

Answer:

(A) 2

Step-by-step explanation:

There are two distinct roots, one of which has a multiplicity of 2.

Root 1: x=8

Root 2: x = -3

d1i1m1o1n [39]3 years ago
6 0

Answer: 2

Step-by-step explanation:

You might be interested in
Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?
FinnZ [79.3K]

The correct option is Option D \boxed{{r_{y-axis}}o{R_{0,270^\circ }}\left({x,y}\right)} .

Further explanation:

A translation is a transformation that transforms the figure with a fixed distance in the same direction.

A rotation is the transformation that rotates the figure with given angles.

Given:

It is given that the two transformations that maps pre-image PQRS to image {\text{P''Q''R''S''}} .

Step by step explanation:

Step 1:

It can be seen from the given figure that that the pre image is in the first quadrant and the image is the third quadrant.

The coordinates in the second quadrant represents as \left({-x,y}\right)  and in the third quadrant represents as \left({-x,-y}\right)  if x,y  are positive.

Therefore, the rotation is in the counter clockwise direction of 270^\circ .

Step 2:

The rotation of 270^\circ  in the counter clockwise direction represents the coordinates as,  

  \left({x,y}\right)\to\left({y,-x}\right)

It can be seen that the coordinate of {\text{PQRS}}  are as follows,

\begin{aligned}P=\left({1,1}\right)\hfill\\Q=\left(1,5}\right)\hfill\\R=\left({3,5}\right)\hfill\\S=\left({3,1}\right)\hfill\\\end{aligned}

Then after rotation of 270^\circ  counterclockwise on {\text{PQRS}}  \left( {x,y}\right)\to\left({y,-x}\right)   as,

  \begin{gathered}P\left({1,1}\right)\to\left({1,-1}\right)\hfill\\Q\left({1,5}\right)\to\left({5,1}\right)\hfill\\R\left({3,5}\right)\to\left({5,-3}\right)\hfill\\S\left({3,1}\right)\to\left({1,-3}\right)\hfill\\\end{gathered}

Step 3:

Now apply the rule of y  axis of reflection {R_{y-axis}}\left({x,y}\right)\to\left({-x,y}\right)  on the above transformation as,

\begin{gathered}\left({1,-1}\right)\to\left({-1,1}\right)=P''\hfill\\\left({5,1}\right)\to\left({-5,-1}\right)=Q''\hfill\\\left({5,-3}\right)\to\left({-5,-3}\right)=R''\hfill\\\left({1,-3}\right)\to\left({-1,-3}\right)=S''\hfill\\\end{gathered}

Therefore, the given transformation is the rotation of 270^\circ  counterclockwise followed by y  axis of reflection.

Therefore, this is the composition of transformation.

The composition of the given transformation can be written as,

   {r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)

Therefore, option D {r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)  is correct.

Learn more:  

  • Learn more about what is the final transformation in the composition of transformations that maps pre-image abcd to image a"b'c"d"? a translation down and to the right a translation up and to the right a 270° rotation about point b' a 180° rotation about point b' <u>brainly.com/question/2480946</u>
  • Learn more about the transformation of function <u>brainly.com/question/7297858 </u>
  • Learn more about midpoint of the segment <u>brainly.com/question/3269852</u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Transformations

Keywords: transformations, dilation, translation, rotation, counterclockwise, angle, clockwise, coordinates, mapping, rigid transformation, right side, left side, quadrant, composition.

3 0
3 years ago
Read 2 more answers
Choose all numbers divisible by 2​
Ivahew [28]

Answer:

all real numbers

Step-by-step explanation:

5 0
3 years ago
Ruby baked fried apple pies for a bake sale if each pie contains 12 apples how many total apples did reviews
Neko [114]
Doesn't say how any pies she fried
8 0
3 years ago
Read 2 more answers
Maya is learning to drive, so this weekend she practiced driving 1/2 of a mile with her mother and another 3/4 of a mile with he
vitfil [10]

Step-by-step explanation:

1/2 + 3/4

= 2/4 + 3/4

= 5/4

= 1 and 1/4 miles

6 0
3 years ago
Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?
Len [333]
3x - 4y = 8

y = mx + b ; m is the slope ; b is the y-intercept

-4y = -3x + 8
y = -3x/-4 + 8/-4
<u>y = 3/4 x - 2</u>

Need to check if the given choices have the same slope.

3x + 4y = -8
4y = -3x - 8
y = -3/4 x - 8/4 = -3/4 x - 2

6x - 8y = 12
-8y = -6x  + 12
y = -6/-8 x + 12/-8
y = 3/4 x - 1 1/2

9x - 12y = 24   This equation would cause a consistent-dependent system
-12y = -9x + 24
y = -9/-12 x + 24/-12
<u>y = 3/4 x - 2</u>  

16x + 12y = -10
12y = -16x - 10
y = -16/12 x - 10/12
y = -1 1/3 x - 5/6

4 0
3 years ago
Read 2 more answers
Other questions:
  • Factorise the completely 3ax+2ay+6bx+4by​
    8·2 answers
  • To the nearest hundredth, how many cm are in 16 in? (1 in = 2.54 cm)
    6·1 answer
  • A rectangle measures 12 cm by 10.5 cm. what is the greatest possible error for each measurement?
    11·1 answer
  • 15. Lily deposited $570 into her account in 15 days. Write an equation to
    5·1 answer
  • Helpppppppppppppppppp
    7·1 answer
  • Which linear equations have one solution? Check all that apply. 5x - 1 = 3(x + 11) 0.4(x-2) + 4x = 8(x-9) O 4(x - 6) + 4 = 2(x -
    5·1 answer
  • Lakeisha has 3 yards of fabric. She wants to make a dress that requires 2 yards of fabric. How much fabric will she have left ov
    11·1 answer
  • What is the final amount if 392 is increased by 9% followed by a 3% decrease?
    9·1 answer
  • I WILL GIVE YOU BRAINLIEST! show work
    12·1 answer
  • If S.P = rs 6200 and C.P = rs 6400 find profit or loss plzzzz tell me answer I will make brainlist​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!