Given:
The polynomial is
[tex]p(x)=x^3-2x^2+2x[/tex]
To find:
The real and complex zeros of the equation.
Solution:
We have,
[tex]p(x)=x^3-2x^2+2x[/tex]
For zeros, p(x)=0.
[tex]x^3-2x^2+2x=0[/tex]
[tex]x(x^2-2x+2)=0[/tex]
[tex]x(x^2-2x+2)=0[/tex]
[tex]x=0\text{ and }x^2-2x+2=0[/tex]
The real value of x is 0. The equation [tex]x^2-2x+2=0[/tex] will give complex roots. Here, a=1, b=-2 and c=2.
Using quadratic formula, we get
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]
[tex]x=\dfrac{2\pm \sqrt{4-8}}{2}[/tex]
[tex]x=\dfrac{2\pm \sqrt{-4}}{2}[/tex]
On further simplification, we get
[tex]x=\dfrac{2\pm \sqrt{-1}\sqrt{4}}{2}[/tex]
[tex]x=\dfrac{2\pm 2i}{2}[/tex]
[tex]x=\dfrac{2(1\pm i)}{2}[/tex]
[tex]x=1\pm i[/tex]
Therefore, the real zero is 0 and the complex zeros are 1+i and 1-i.
Can anyone tell me if this is right? Multiple choice!
Answer:
yes its correct
Step-by-step explanation:
calcular la altura que podemos alcanzar una escalera de 3 metros apoyada sobre ma pared si la parte inferior la situamos a .07 metros de esta.
What is the value of x in the equation 3x-4y=65, when y=4?
O x=134
O x=21 1 / 3
O x=23
O x=27
Answer:
27
Step-by-step explanation:
3x-4y=65
3x-4(4)=65
3x-16=65
3x=65+16
3x=81
x=81/3
x=27
Please help, I have no idea how to do this one
Find the value of X if H is the midpoint of JG, GJ equals 4X -6 and GH equals 27.
Answer:
27
Step-by-step explanation:
the size of a rectangular photo frame is 12 11/16cm by 8 3/4cm. Which of the following gives the product of these dimensions rounded to the nearest whole number of centimeters
answers
A) 12 cm x 8 cm
B) 12 cm x 9 cm
C) 13 cm x 8 cm
D) 13 cm x 9 cm
Answer:
D
Step-by-step explanation:
the answer can't be A or C because we know that 8 3/4 rounds to 9
so we have to figure out if 12 11/16 is closer to 12 or 13
anything above 8/16 should round up; therefore, 11/16 should round the 12 to be 13
The medical practice you are working at has seen an average of 22.4 patients a day for the past 3 months. 3/4ths of those patients have insurance in one form or another. how to analyze and what the process you will use Please express to the nearest whole number how many of the patients on average per day do not have insurance, and thus, pay cash price for their visits.
Answer:
5.6 patients
Step-by-step explanation:
Given
[tex]Average = 22.4[/tex]
[tex]Insurance = \frac{3}{4}[/tex]
Required
How many do not have insurance (average)
First, calculatet he fraction of those without insurance (x).
[tex]x = 1 - Insurance[/tex]
Substitute value for Insurance
[tex]x = 1 - \frac{3}{4}[/tex]
[tex]x = \frac{1}{4}[/tex]
The number of visits is:
[tex]Visits =x * Average[/tex]
[tex]Visits = \frac{1}{4} * 22.4[/tex]
[tex]Visits = 5.6[/tex]
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions.
Judith made 4 stacks of wooden blocks. The first stack was 9 blocks tall. The second stack was 5 blocks taller than the first. The third stack was 5 blocks shorter than the second stack, and the last stack was 10 blocks taller than the third stack. How many blocks did Judith use in all?
Answer: the answer is 42
Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?
The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to
Answer:
greater than or equal to
Answer:
the above answer is correct, it is greater than or equal to
Step-by-step explanation:
In the jone school library,10/20 of the computers have scanners.in simplest form, which fraction of the computers have scanners? 1/2 1/4 5/10 6/12
Answer:
1/2
Step-by-step explanation:
how long would the toy car be?...
Answer:
6.37 cm.
Step-by-step explanation:
Since Hot Wheels uses a scale ratio of 1:64 (1 cm to scale = 64 cm actual) for their toys, knowing that the actual length of a VW Beetle is 160.6 inches, to determine the length of the toy car is you must perform the following calculation:
1 inch = 2.54 cm
(160.6 x 2.54) / 64 = X
407.924 / 64 = X
6.373 = X
Therefore, the size of the toy car will be 6.37 cm long.
Math work questions help
A painter is placing a ladder to reach the third story window, which is 34 feet above the ground and
makes an angle with the ground of 70°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.
The base of the ladder needs to be positioned ______
feet out from the building.
Answer:
34 times 70
Step-by-step explanation:
The base of a 15-foot ladder is 6 feet from a building. If the ladder reaches the flat roof, how tall is the building?
The height of the building is ft
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
the answer would be 13.75 feet
Step-by-step explanation:
The computation of the tall is the building as follows:
Given that
Base is 6 foot
And, the hypotheses is 15 feet
Here we use the Pythagoras theorem
= √15^2 - √6^2
= √225 - √36
= √189
= 13.75 feet
Hence the answer would be 13.75 feet
simplify 12/18 into an equivalent fraction
Answer:
2/3
Step-by-step explanation:
[10 • 32 - 3] + 10 I need help nowww!
Answer:
Its 327!
Step-by-step explanation:
[10x32-3]+10 10x32=320 320-3=317 317+10=327
Answer:
327
Step-by-step explanation:
PEMDAS - parenthesis exponent multiply divide add subtract, the order to solve.
solve the parenthesis first, inside the parenthesis do the multiplication 1st so 10 times 32 which = 320. then subtract 3 = 317. then, lastly, add the 10 to get 327.
65% of what number is 39? 30% of what number is 15?
Please answer both questions.
Answer:
65% of what number is 39=25.35
30% of what number 15=4.5
Step-by-step explanation:
What’s the right answer ?
Answer:
B
Step-by-step explanation:
the answer is in the attachment
I need some homework help please.
Answer:
x^2-5x=6
x^2-5x-6=0
x^2+x-6x-6=0
x(x+1)-6(x+1)=0
(x-6)(x+1)=0
x=6, -1
-5x= -30, 5
Step-by-step explanation:
PLS I NEED HELP: Which one of the following is an exponential growth function?
A. y = (1.5)^x
B.y = (2/3)^x
C. y = (1/2)^x
D. y = (0.5)^x
3
8
8
1
.
2. I need help!!!!!
Answer:
3 7/8
Step-by-step explanation:
8 3/8 - 4 1/2 =
8 3/8 - 4 4/8=
7 11/8 - 4 4/8 =
3 7/8
Answer:
The person above is correct
Step-by-step explanation:
When subtracting fraction you should make sure the deniminators (bottom number of fraction) of both fractions are the same number so you can subtract evenly. Also note whatever you do to the deniminator, you do to the numerator (top number). In this example you turn 1/2 to 4/8 in order to subtract.
Susan incorrectly factored the expression below. 12a − 15b + 6 3 (4a + 5b + 3)
Answer:
3(4a−5b+2)
Step-by-step explanation:
The answer should have originally been 3(4a-5b+2)
3(4a+5b+3)= 12a+15b+9 which is incorrect.
1. -2- 3x + 2x + 5x + 4
Does Someone know how to do the work for this question?! Need ASAP
Answer:
5x^3-x+2
Step-by-step explanation:
We rearrange the formula grouping x together but preserving subtraction and start numbers from left.
- 2 -3x + 2x + 5x^3 +4
= -2+4
= 2
-3x +2x = -1x = -x
= 5x^3 +2 - x
= 5x^3 -x + 2
We cannot distribute unless we had the given values for x
if x = 1 and we were told this, then the equation would be set to zero +2 as you would be left with x^3 = 1 and x = 1 and 1-1 = 0
Then you would just need to apply +2 = 2.
But in standard form we leave the amounts 5x^3 -x +2
long division: Problem type 2 Divide, (12x3 +14x2+24x+9) = (4x2+2x) Your answer should give the quotient and the remainder Quotient: 3 3 Remainder: 1 X ?
9514 1404 393
Answer:
quotient: 3x +2remainder: 20x +9Step-by-step explanation:
Just as with numerical long division, the product of the partial quotient and the divisor is subtracted from the dividend to get the new dividend. The partial quotient is the ratio of the highest-degree terms of dividend and divisor. The process ends when the degree of the dividend is less than the degree of the divisor.
find the slope of the line passing through the points (7,-6) and (-7,-6)
Answer:
1.1667
Step-by-step explanation:
Slope = change in y / change in x
Slope = (-6 - -6) / (-7 - 7)
Slope = 0/-14
Because the change in y is 0 the slope would be 0
Slope = 0
Classify the following triangle. Check all that apply.
98
419
O A. isosceles
I B. scalene
C. obtuse
U
D. equilateral
I E. acute
F. right
Answer:
obtuse and isosceles
angle greater than 90° and 2 equal sides
X 1. Solve the equation
Atun
(x + 2) = 20
Answer:
hi
Step-by-step explanation:
Answer:
18 ?
Step-by-step explanation: What is Atun ?
Pleaaase help this is due today
Answer:
umm look it up
Step-by-step explanation:
Use synthetic substitution to find f(3) and f(-4) for f(x)= x^4 - 8x- 11.
Answer:
f(3)=56, f(-4)=277
Step-by-step explanation:
f(x)=x^4-8x-11
f(3)=3^4-8(3)-11=3*3*3*3-24-11=9*3*3-35=27*3-25=81-25=56
f(-4)=(-4)^4-8(-4)-11=(-4)(-4)(-4)(-4)+32-11=(16)(16)+32-11=256+32-11=288-11=277
Answer:
227
Step-by-step explanation: