3 number of roots exist for the polynomial function.
Step-by-step explanation:
As we know that the polynomial can only have exact number of roots as high as the degree of that polynomial is.
We can also prove it. Assume there is a polynomial
(x+2)(x+3) =0
Here the degree of the polynomial is 2 and the number of possible solutions are also 2. As it is evident that x is either equal to -2 or -3.
From the given condition,
(9x + 7)(4x + 1)(3x + 4)
we know that the degree of the polynomial is 3 because after expansion it becomes,
108x^3 + 255 x^2 +169x + 28 =0
Since, highest power of the variable is 3. Its degree is 3.
Therefore, possible number of roots that exist for the polynomial function are 3.
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What is one idea that Andre probably understands about rotations?
Answer:
you need to include the answers from a-d for us to give you a proper answer if not we cant
Step-by-step explanation:
What is two over four divided by one over two
Answer:
0.25
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
n points are chosen at random on the cicumference of a circle. a convex n-gon (n sided polygon) is drawn by joining these n points. what is the probability that the center of circle lies inside the region of n-gon?
The probability that the center of the circle lies inside the region of n-gon = 1/2
Let the N point be chosen randomly on the circumference of the circle.
Let's take N as a1, a2, a3,…….an.
Now we need to find the probability that how many centers lie inside the region of n-gon. As there will be n- sided polygons can be formed inside the circle by joining all the points.
So here are the Possible Outcome is 2. One center may lie outside the polygon and the other which lie inside the center.
But we want one which lies inside the center. So our Favorable Outcome is 1.
So the Probability = Favorable outcome \ possible outcome
= 1/2
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$5.40+$8.70+6.30=
I got stuck again
Answer: $20.40
Step-by-step explanation:
Just add
a certain star is 3.7 x 10 to the second power light years from the earth period one light year is about 5.9 x 10 to the 12th power miles. how far from the Earth (in miles right is the star?
a certain star is 3.7 x 10 to the second power light years from the earth period one light year is about 5.9 x 10 to the 12th power miles. how far from the Earth (in miles right is the star?
find the length of a rectangular cell phone screen with an aspect ratio of 16:9 whose diagonal measure is 127mm
Answer:
The length is 110.4 mm and the width is 62.1 mm.
Step-by-step explanation:
The ratio of the length to the width of the phone screen is 16:9.
Hence, let us say that the length of the screen is 16x and the width is 9x.
Due to the screen having 90 degree corners, we can apply the Pythagorean theorem to say that:
[tex]\sqrt{(16x)^{2} + (9x)^{2}} = 127 mm[/tex]
[tex]\sqrt{256x^{2} + 81x^{2}} = 127 mm[/tex]
[tex]\sqrt{337x^{2}} = 127 mm[/tex]
[tex]337x^{2} = 127^{2} mm[/tex]
[tex]x^{2} = \frac{16129}{337}[/tex]
[tex]x = 6.9[/tex]
Hence, the length is 110.4 mm and the width is 62.1 mm.
Hope this helped!
Answer:
...
Step-by-step explanation:
yall its an easy khan academy assignment please help ASAP i needa turn it in by 11:59 pm todayyy so hurry i will give 50 points!!!! and brainliest to whoever is righttt
Answer:
The answer is B.
Step-by-step explanation:
Answer:
B ITS B ! GOOD LUCK!!!! :D
Step-by-step explanation:
given three points that lie on the parabola, find the equation that represents this parabola in standard form (0,6),(2,4),(4,6)
a=0; b=6; c=8
Equation of parabola: y=6x+8.
What is the parabola?In mathematics, a parabola is a planar curve that is mirror-symmetrical and generally U-shaped. It matches a variety of seemingly dissimilar mathematical formulations, all of which identify the same curves.
A point and a line are two ways to describe a parabola a plane curve produced by a point moving so that its distance from a fixed point equals its distance from a fixed line:
Apollonius, who discovered numerous features of conic sections, is credited with the name "parabola." It signifies "application," referring to the "application of regions" notion, which, as Apollonius demonstrated, has a connection with this curve.
A banana's curving shape is quite similar to a parabola. As a result, it is one of the best instances of parabolic objects in common use.
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What is the component form and magnitude of the vector shown?
LeftAngleBracket negative 2, 7 RightAngleBracket and StartRoot 53 EndRoot
LeftAngleBracket negative 2, 7 RightAngleBracket and 53
LeftAngleBracket negative 7, 2 RightAngleBracket and StartRoot 53 EndRoot
LeftAngleBracket negative 7, 2 RightAngleBracket and 53
Answer:
c
Step-by-step explanation:
edge 2020
The component form and magnitude of the vector is (-7, 2) and √53 option third is correct.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
We have a vector shown in the picture.
The coordinate for tail = (6, 2)
The coordinate for arrow = (-1, 4)
Coordinate for vector = (-1-(6), 4-(2)) = (-7, 2)
The magnitude:
[tex]\rm M=\sqrt{(-1-6)^2+(4-2)^2}[/tex]
M = √53
Thus, the component form and magnitude of the vector is (-7, 2) and √53 option third is correct.
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Q. Is this a function?
Answer:
Yes
Step-by-step explanation:
the x has different numbers each time
The solution to the given system of linear equations lies in which quadrant? i ii iii iv
Answer:
The correct option is 4 it lies on the 4th quadrant
a taxi service charges an initial fee of $2.15 then charges $1.68 a mile. write a linear equation to model this situation.
The linear equation to model this situation is [tex]y=1.68x+2.15[/tex]
Linear Equation is defined as the equation having degree 1. Linear equation can be of one variable or two variable and so on...
For Example : x=5 is a linear equation in one variable.
x+y=6 is a linear equation in two variable.
Fixed charge= $2.15
Charge per mile=$1.68
Let the miles travelled by the taxi be "x'
So the total charge for "x" miles= [tex]1.68x[/tex]
Let the total charge = y
Total Charge = Fixed Charge + total Charge for "x" miles
[tex]y=2.15+1.68x[/tex]
Therefore , the linear equation to model the situation is [tex]y=2.15+1.68x[/tex]
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how are you today?
don't forget that you are loved!
I'M SOOOOOOOO GOOD
HOW ABOUT YOU
The city of Atlanta is growing at a rate of 2.04% each year. The 2019 population of Atlanta is 486,290 people.
What would be the Each year would it be 1 or 365?
Answer:
1
Step-by-step explanation:
The "each year" would be represented as a 1. Using the number 365 would represent the days in a year but not the entire year as a whole. For example, if we were to apply the 2.04% population increase to the population of 486,290 then that would give us the new population for the year 2020 which is 1 year more than 2019.
if the expression 6 more than the product 8 and a number x than what is the answer?
Answer:
''6 more than the product 8 and a number x than'' will be expressed algebraically as:
6+8nStep-by-step explanation:
Translating the sentence into an algebraic expression
The 'product of' means multiplying two numbers'6 more than' means adding 6.Let 'x' be the number
6 more than that 8 and a number
6+ 8×n
Combining it all together means:
6+8n
Thus,
''6 more than the product 8 and a number x than'' will be expressed algebraically as:
6+8nA man is 3 times old as his son the sum of their ages is 48 years old.how old is the son
Answer:
The son is 12 years old.
Step-by-step explanation:
When you do 12 multiplied by 3 you get 36. Then you add the 12 and 36 to get 48. This is how you know it is correct.
for Spirit Week at a local middle school. School students were encouraged to wear the school colors of burgundy and gold. of the 1,000 students,700 students wore burgundy while 250 students wore gold. what percent of the total number of students wore gold?
Answer: 25%
Step-by-step explanation: do 250/1,000
you get .25. Then convert that into percentage, which is 25%.
As an estimation we are told £3 is €4. Convert €40 to pounds
Answer:
£30
Step-by-step explanation:
The ratio is 3:4. x:40=3:4 multiplied by 10, 30:40.
There are 30 pounds in 40 euros, therefore, €40 = £30.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, £3 is €4, therefore,
€4 = £3
€1 = £(3/4)
€40 = £(3/4)×40
€40 = £30
Hence, 40 euros is equal to 30 pounds, €40 = £30.
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Let fx) = x + 11 + 2 and g(x) - 2 x + 11. When does f(x) = g(x)?
Answer:when x= -2/3
That means, when the common product of f(x) & g(x) is x+2/3
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!! A small coffee cup holds 75% as much as a large coffee cup. If the small holds 36 units, how much does the large coffee cup hold?
Answer:
48 units
Step-by-step explanation:
Let x = the amount the large cup holds
36 = 75% of x
36 = .75x. (The word "of" indicates you will be multiplying)
36 ÷ .75 = x
48 = x
Find three consecutive integers whose sum is 105.
Jenna received a bouquet with 8 roses
and 12 carnations. What was the ratio
of carnations to roses?
8 roses and 12 carnations =
4 roses and 6 carnations =
2 roses and 3 carnations =
1 rose and 1.5 carnations
the ratio is 1/1.5
Help me due in like 15 minutes
Answer:
4x-4=-4x+6
Step-by-step explanation:
1. In the figure shown, HC || GD and m/ABC = 105°.
Which of the following statements is false?
C
R
#
B
H
A m/DEF = 75°
B
ZABH and ZAEG are corresponding angles.
C ZHBF and ZAED are alternate interior angles.
D m/GEF= 75°
You started saving for a car when you were in middle school. You have done some research and discovered that it will cost you about $15,000 for a used car that would fit your needs. You were encouraged to invest some of your savings to help you get to your financial goal faster. So far you have saved $10,000. If you invest this money in a savings account with a 3% interest rate compounded annually, how long will it take to earn enough money to go purchase the car? Use the compound interest formula A = P (1 + i)n, where A is the accumulated amount, P is the principal, i is the interest rate per year, and n is the number of years.
Answer:
=> $2,833.47
Step-by-step explanation:
n = [lnA - lnP] / ln(1 + i)
n = [ln15000 - ln10000] / ln(1 + 0.03)
n = [9.6158 - 9.2103] / 0.0296
n = 13.70
13 years, 8 months and 12 Days
P = A / [(1 + i)n]
P = 15000 / [(1.03)4]
P = 15000 / 1.1255
P = $13,327.31
A = 10000 (1 + 0.04)5
A = $12,166.53
The amount of money you need to save to buy a car at $15,000 would be;
$15,000 - $12,166.53
=> $2,833.47
A number "a" less than 20.
Answer:
19
Step-by-step explanation:
Are the two triangles similar? If so, why are they similar?
Is multiplication commutative.
Answer:yes
Step-by-step explanation:
Because it is able to be commuted
104÷16=
I really need help
Answer: 6.5, hope this helps you
Answer:
6.5
Step-by-step explanation:
Help me on this please
Answer: 4,4
Step-by-step explanation:
because just listen to me ;)