There are three possible positive and one negative root for the equation.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the equation as
⇒ -4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0
Check the polynomial "as is" for positive zeros, the symbol changes three times. This means that you might either have one or three positive zeros. If they are imagined, they will depart in pairs.
So changes signs 3 times: possible positive roots 3 or 3-2=1
The polynomial must be rewritten as [tex]f(-x)[/tex] for negative zeroes, or
⇒ -4x⁶ + 3x⁵ + 2x² + 4x + 1
This polynomial changes signs just once, So There will have 1 negative zero.
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The question seems to be incomplete the correct question would be
According to Descartes's rule of sign, how many possible positive and negative roots are there for the equation
-4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0
i need help on 9,10,11 please
9) The True Distance is 209 ft
10) The True Distance is; 66.5 ft
11) The True Height is; 57 ft
How to Interpret the Scale of a Map?We are given that the scale of the map is 1 in : 38 ft
This means that 1 inch represents 38 ft
9) Now, we want to find the true distance of 5.5 inches from the map. Thus;
True distance = (5.5 * 38)/1
True Distance = 209 ft
10) Now, we want to find the true distance of 1.75 inches from the map. Thus;
True distance = (1.75 * 38)/1
True Distance = 66.5 ft
11) We are given the scale is 1 in : 85 ft.
Thus, the true height of 1.5 inches is;
True height = (1.5 * 38)/1
True Height = 57 ft
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A student increased in height from 1.52m to 1.68m, calculate the percentage increase (show your working)
The percentage increase in the student's height is 10.52%.
Here we are given that a student's height increases from 1.52m to 1.68m.
Thus, the absolute increase in the student's height will be-
1.68 - 1.52 = 0.16 meters.
Now, we need to find the percentage increase in the student's height.
The formula for calculating percentage increase is given by-
Percentage increase = change in value/ initial value * 100
Here, the change in value is 0.16 meters and the initial value is 1.52 meters.
Thus, percentage increase in height = 0.16 / 1.52 *100
= 1600/ 152
= 400/ 38
= 200/ 19
= 10.52%
Thus, the increase in the student's height is 10.52%.
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Solve the equation [tex]\sqrt{3x} + \sqrt{12} = \frac{x+7}{\sqrt{3} }[/tex]
If everyone in a class scored 100 on a quiz, what is the standard deviation of quiz scores?
The standard deviation of quiz scores is 0.
What is the standard deviation?The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values of the set tend to be close to the mean (also known as the expected value), whereas a high standard deviation indicates that the values are spread out over a larger range.To find the standard deviation:
Let, the number of students = nx = 100Mean = n×x/n=xVariance = [tex]\frac{\sum(\bar{x}-x)^2}{n}[/tex]Variance = (x₁ - x)² + (x₂ - x)² + (x₃ - x)²/nV = 0Standard variance = √0Therefore, the standard deviation of quiz scores is 0.
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The graph shows the relationship between miles and kilometres.
a)
Convert 20 miles
to km.
b)
Convert 64 km
to miles.
By cross multiplication, we have found the following results:
a) 20 miles are equal to 32.180 kilometers.
b) 64 kilometers are equal to 39.776 miles.
How to convert a distance value into another distance unit
In this problem we must convert a given value in a unit into its equivalent quantity in another unit of same kind. We must convert miles to kilometers and viceversa by using conversion rates and cross multiplication.
First, we must convert a distance of 20 miles to kilometers by cross multiplication:
x = 20 mi × (1.609 km / 1 mi)
x = 32.180 km
Second, we must convert a distance of 64 kilometers to miles by cross multiplication:
x = 64 km × (1 mi / 1.609 km)
x = 39.776 mi
RemarkThe graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.
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Answer:
here is the answer⬇️
Help me please translations hw
The locations of the vertices are shown below:
(- 5, 4), (- 4, 4), (- 5, 2)(- 4, 1), (- 1, 2), (0, - 1), (- 2, - 5)(2, 5), (3, 4), (1, 2)(3, - 5), (- 2, - 3), (0, - 1)What are the coordinates of the images resulting from a translation?Herein we find four representations of polygons on Cartesian plane and we must determine the coordinates of the images generated by translation, a kind of rigid transformations. Translation is described by the following operation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vectorCase 1 (K(x, y) = (3, - 3), X(x, y) = (4, - 3), R(x, y) = (3, - 5), T(x, y) = (- 8, 7))
K'(x, y) = (3, - 3) + (- 8, 7) = (- 5, 4)
X'(x, y) = (4, - 3) + (- 8, 7) = (- 4, 4)
R'(x, y) = (3, - 5) + (- 8, 7) = (- 5, 2)
Case 2 (E(x, y) = (0, 2), X(x, y) = (3, 3), V(x, y) = (4, 0), Z(x, y) = (2, - 4), T(x, y) = (- 4, - 1))
E'(x, y) = (0, 2) + (- 4, - 1) = (- 4, 1)
X'(x, y) = (3, 3) + (- 4, - 1) = (- 1, 2)
V'(x, y) = (4, 0) + (- 4, - 1) = (0, - 1)
Z'(x, y) = (2, - 4) + (- 4, - 1) = (- 2, - 5)
Case 3 (G(x, y) = (- 4, 5), J(x, y) = (- 3, 4), U(x, y) = (- 5, 2), T(x, y) = (6, 0))
G'(x, y) = (- 4, 5) + (6, 0) = (2, 5)
J'(x, y) = (- 3, 4) + (6, 0) = (3, 4)
U'(x, y) = (- 5, 2) + (6, 0) = (1, 2)
Case 4 (V(x, y) = (0, 0), Y(x, y) = (- 5, 2), F(x, y) = (- 3, 4), T(x, y) = (3, - 5))
V'(x, y) = (0, 0) + (3, - 5) = (3, - 5)
Y'(x, y) = (- 5, 2) + (3, - 5) = (- 2, - 3)
F'(x, y) = (- 3, 4) + (3, - 5) = (0, - 1)
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Answer:
See attachments.
Step-by-step explanation:
A translation is a type of transformation that moves a figure left, right, up or down. Every point on the original figure is translated (moved) by the same distance in the same direction.
If a figure is to be moved left, subtract the number of units it is to be moved from the x-values.If a figure is to be moved right, add the number of units it is to be moved to the x-values.If a figure is to be moved up, add the number of units it is to be moved to the y-values.If a figure is to be moved down, subtract the number of units it is to be moved from the y-values.Question 1Coordinates of the given pre-image:
K = (3, -3)R = (3, -5)X = (4, -3)Given mapping rule:
[tex](x, y) \rightarrow (x-8, y+7)[/tex]
This tells us to subtract 8 from the x-values and add 7 to the y-values.
[tex]\sf \implies K(3,-3) \rightarrow K'(3-8, -3+7)=K'(-5,4)[/tex]
[tex]\sf \implies R(3,-5) \rightarrow R'(3-8, -5+7)=R'(-5,2)[/tex]
[tex]\sf \implies X(4,-3) \rightarrow X'(4-8, -3+7)=X'(-4,4)[/tex]
Question 2Coordinates of the given pre-image:
E = (0, 1)X = (3, 3)V = (4, 0)Z = (2, -4)Given mapping rule:
[tex](x, y) \rightarrow (x-4, y-1)[/tex]
This tells us to subtract 4 from the x-values and subtract 1 from the y-values.
[tex]\sf \implies E(0,1) \rightarrow E'(0-4, 1-1)=E'(-4,0)[/tex]
[tex]\sf \implies X(3,3) \rightarrow X'(3-4, 3-1)=X'(-1,2)[/tex]
[tex]\sf \implies V(4,0) \rightarrow V'(4-4, 0-1)=V'(0,-1)[/tex]
[tex]\sf \implies Z(2,-4) \rightarrow Z'(2-4, -4-1)=Z'(-2,-5)[/tex]
Question 3Coordinates of the given pre-image:
G = (-4, 5)J = (-3, 4)U = (-5, 2)Given mapping rule:
[tex](x, y) \rightarrow (x+6, y)[/tex]
This tells us to add 6 to the x-values and the y-values remain unchanged.
[tex]\sf \implies G(-4,5) \rightarrow G'(-4+6, 5)=G'(2,5)[/tex]
[tex]\sf \implies J(-3,4) \rightarrow J'(-3+6, 4)=J'(3,4)[/tex]
[tex]\sf \implies U(-5,2) \rightarrow U'(-5+6, 2)=U'(1,2)[/tex]
Question 4Coordinates of the given pre-image:
F = (-3, 4)V = (0, 0)Y = (-5, 2)Given mapping rule:
[tex](x, y) \rightarrow (x+3, y-5)[/tex]
This tells us to add 3 to the x-values and subtract 5 from the y-values.
[tex]\sf \implies F(-3,4) \rightarrow F'( -3+3, 4-5)=F'(0,-1)[/tex]
[tex]\sf \implies V(0,0) \rightarrow V'( 0+3, 0-5)=V'(3,-5)[/tex]
[tex]\sf \implies Y(-5,2) \rightarrow Y'( -5+3, 2-5)=Y'(-2,-3)[/tex]
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need help like rn pls!!!
Answer:
x = 3
Step-by-step explanation:
Separate | 2 + x | = | x - 8 | into 2 possibilities
2 + x = x - 8
2 + x = -x + 8 (right side's signs are swapped)
Solve the equations:
Top equation results in no solution as the x's cancel out.
2 + x = -x + 8
2x = 6
x = 3
| 2 + 3 | = | 3 - 8 |
| 5 | = | -5 |
5 = 5
This is the correct solution.
Let's solve the problem,
→ |2 + x| = |x - 8|
→ 2 + x = -(x - 8)
→ 2 + x = -x + 8
→ x + x = 8 - 2
→ x = 6/2 = 3
Hence, the value is 3.
A scientist has 20 grams of the radioactive isotope sodium-24. The isotope decays exponentially as shown in the table.
Time (hours)
Mass (grams)
5
15.9
10
12.6
15
10
20
7.9
25
6.3
30
5
Approximately what will the mass of the isotope be after 45 hours?
A 1.5 grams
B. 2.5 grams
C. 3.5 grams
D. 4.5 grams
The mass of the isotope after 45 hours is 2.5 grams.
Given, from the table we can find that when time is 10 hours,
the mass is 12.6 grams;
when time is 25 hours the mass is 6.3 grams .
And 12.6 × 1/2 = 6.3
Also we can find when time is 15 hours the mass is 10 grams,
when time is 30 hours, the mass is 5 grams as:
10 × 1/2 = 5
so we know that half life period is:
25 - 10 = 30 - 15 = 15 hours.
When time is 45 hours,
45 = 15+115
= 3 half life periods, so the mass is :
20 × 1/2 × 1/2 × 1/2
= 2.5 grams.
Hence the mass of the isotope after 45 hours is 2.5 grams.
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35. The sum of the angles of a polygon is 1620°. Calculate the number of sides that polygon has.
Answer:
11
Step-by-step explanation:
total angle of a polygon formula:
180 * (n-2) n is no. of sides
180 * (n - 2) = 1620
1620/180 = n-2
9 = n - 2
9 + 2 = n
n = 11
PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING
Kind of confused with this problem, if you can’t see the image properly it says, “Find the standard form for the equation of the line which passes through the point (10,-49) and which has a y intercept of 1.”
Answer:
See below
Step-by-step explanation:
find slope between 0,1 and 10, -49
m = (-49-1) / (10-0) = -5
slope intercept form
y = mx + b
y = -5 x +1 re=arrange
5x + y = 1
what is 2 plus 2?
2 + 2 =?
Answer:
4
Step-by-step explanation:
2+2=4
just like 2×2=4
its just 2 doubled
2 doubled equals 4
Answer:
8
Step-by-step explanation:
i need help please step by step hurry
Answer:
Step-by-step explanation:
10 x 21 - 61
210 - 61= 149
18 x 8 + 5
144 + 5= 149
21 + 10= 31
(Don't need to right this part down)
Since the 149 is parallel or the same size on the opposite side, it should be the same answer
What are the answers to this ? HELP ASAP PLS, this is timed ! Please explain as well !
Answer:
b is the answer
Step-by-step explanation:
did I help you
For a show during the halftime break up a football game a stage will be set up on the field the center of the stage is on the 35 yard line if the distance from the center to the outer edges is 11 yards which equation can be used to find the location of the outer edges of the stage
The absolute value equation that can be used to find the location of the outer edges of the stage is:
|x - 35| = 11.
What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, hence, for example, |2| = |-2| = 2.
For this problem, the outer edges are 11 yards away from the 35 yards line, hence the equation is:
|x - 35| = 11.
The solutions are given as follows:
x - 35 = -11 -> x = 24 yard line(first edge).x - 35 = 11 -> x = 46 yard line(second edge).More can be learned about the absolute value function at https://brainly.com/question/24734454
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Please help and show how you did it!!
Answer
EAD= EBC true.
Step-by-step explanation:
Both triangles are equal. The line between AE and EB show the lines are equal. In turn this makes the sides AD and BC equal. DC are the same length as AE and EB. In short, all sides are equal so the triangles are the same.
in algebra 1 how do you find 81% of 32
X
1
y=ax²+bx+c 1.75
B
2
6
3
11.75
4
19
5
27.75
Answer:
ydiyetd5dtd7rowo47do7tso47syjfzj4tsuryusu6eaitddtsie6i64so7rso6ro6zoyds7orsoslu4sp
If
Δ
C
A
T
≅
Δ
D
O
G
, which statement must be true?
Answer:
Answer: mark me brainlest
Step-by-step explanation:
Answer is A.
A thief steals an atm card and must randomly guess the correct -digit pin code from a -key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?.
The probability of a correct guess on the first try is 0.024%.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
A number between 0 and 1 is the probability of an event.
where,
P(E) = Number of Favorable Outcomes/Number of Total Outcomes
Because a thief steals an ATM card and must randomly guess the correct four-digit pin code from an eight-key keypad, and digit repetition is permitted, the following calculation must be performed to determine the probability of a correct guess on the first try:
8 [tex]*[/tex] 8 [tex]*[/tex] 8 [tex]*[/tex] 8 = X
[tex]8 ^ {4 }[/tex] = X
simplifying the above equation, we get
4096 = X
1/4096 = X
0.000244140625 = X
0.000244140625 [tex]*[/tex] 100 = 0.024%
Therefore, the probability of a correct guess on the first try is 0.024%.
The complete question is;
A thief steals an atm card and must randomly guess the correct four-digit pin code from a 8-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first try?
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which expression is equivalent to (3x+2)(3x-5)?
A. 6x - 3
B. 9x^2 - 10
C. 9x^2 - 3x - 10
D. 9x^2 - 9 - 10
Answer: 9x^2-9x-10 ==> D
Step-by-step explanation:
(3x+2)(3x-5)=
3x*3x + (-5)(3x) + 2*3x + (-5)(2)=
9x^2 - 5(3x) + 6x - 5(2)=
9x^2-15x+6x-10=
9x^2-15x+6x-10= 9x^2-9x-10 ==> D
=================================================
Explanation:
Let's make
y = 3x+2
So we can replace the (3x+2) with y
We go from (3x+2)(3x-5) to y(3x-5)
Distribute that y term through
y(3x-5)
y(3x) + y(-5)
3xy - 5y
Then plug in y = 3x+2 and distribute two more times
3xy - 5y
3x( y ) - 5( y )
3x( 3x+2 ) - 5( 3x+2 )
3x(3x) + 3x(2) - 5(3x) - 5(2)
9x^2 + 6x - 15x - 10
9x^2 - 9x - 10
which seems to point to choice D assuming the -9 in the middle is supposed to be -9x
------------------
Side note: Alternative methods are the FOIL rule and the box method.
what equations do u insert in between these numbers to get the answer
a.5 8 3 9 =50
b.12 6 2 10=14
c.4 5 6 10=24
d.7 4 6 9 7= 16
e.4 9 6 2 =52
f.45 5 9 3 7=102
Answer:
a 5 8 3
Step-by-step explanation:
What is a major area of jurisdiction for local law enforcement agencies
Answer:
Patrolling Communities.
Step-by-step explanation:
Bit much for this lol
In a class, there are thirty-six students going on a field trip. One sixth
are bringing a lunch from home. How many are bringing their lunch
from home?
176.912 round off to the closest integer.
help asap!!
Answer:
177
Step-by-step explanation:
In order to round 176.912 to the nearest integer firstly look at the first digit after the decimal point also known as the tenth digit.If the digit in the tenth place is >=5 we will round up and if it is < 5 we will round down keeping the ones place the same and truncating the decimal points.Since the tenth digit 9 is >= 5 we will round up i.e. ( ones place digit + 1 ) and the remaining all digits next to the decimal point are removed.Therefore, the number 176.912 rounded to the nearest integer value is 177 .All Done! Please mark as Brainliest :)
Answer:
177
Step-by-step explanation:
The tenth is 9 which means you round up so the correct answer is 177.
Hope It Helps Sorry If I'm Wrong
Siobhan’s team is solving the following equation: . Amalia says there are no solutions. Brian says there is one solution, but it is imaginary. Cristina says there are two solutions! Help them out. Determine the solution(s) and justify your answer. You may want to refer to the Math Notes box in Lesson 2.2.2 for help.
There is no real solution of given equation.
There is a special case that will tell us if a quadratic has no real solution: if b = 0 when a and c share the same sign (both positive or both negative), then there will be no real solution. The quadratic formula becomes much simpler when b = 0.
given equation [tex]x^{2} =-16[/tex]
[tex]x=\sqrt{-16},\:x=-\sqrt{-16}[/tex]
[tex]x=4i, x=-4i[/tex]
we get imaginary solutions of given equation
so, there is no real solution equation is exist.
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What is 6+42 for gcf
Answer:
48
Step-by-step explanation:
Essay writers are okay but seriously just gotta include the answer ;-;
Answer: 6 should be your answer
Explanation: Depending on how many and how large the numbers are, there are a variety of approaches to compute the GCF of a collection of integers.
Simply look at each number's components or multiples to get its largest common multiple for lesser numbers.
These factors look like this for 6 and 42:
1, 2, 3, and 6 are the six factors.
1, 2, 3, 6, 7, 14, 21, and 42 are the 42 factors.
In mapping diagram D, what is the range?
The range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.
What is the range of a Relation?If we are given a mapping that represents a relation, the input values (x-values) make up the domain of the relation while the output values (y-values) make up the range of the relation.
In the mapping shown in the diagram attached below, we have the following:
The domain of the relation is: {-1, 0, 1, 2, 3}
The range of the relation is: {3, 5, 11, 21}
Thus, we can conclude that, the range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.
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HELP ME PLEASE....I HATE ALGEBRA Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it. (2, 4) (2, 1) (6, 12) (4, -5) (-2, 4) (2, -4) (6, -12) (-4, 5) Quadrilateral ABCD is reflected over the x-axis. arrowRight Quadrilateral ABCD is translated 2 units right and 1 unit down. arrowRight Quadrilateral ABCD is dilated about the origin by a scale factor of 3. arrowRight Quadrilateral ABCD is rotated 180° clockwise about the origin. arrowRight
Quadilateral ABCD is reflected over the x-axis. ---> (2, -4)
ABCD is translated 2 units right and 1 unit down. ---> (4, -5)
ABCD is dilated about the origin by a scale factor of 3. ---> (6, 12)
ABCD is rotated 180° clockwise about the origin. ---> (-2, 4)
What exactly is a quadrilateral?Four sides, four vertices, and four angles make up a quadrilateral, which is a two-dimensional shape. Concave and convex are the two most common forms. Additionally, there are numerous subgroups of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombus, and squares.
Which of these seven quadrilateral types are they?quadrilaterals come in a variety of forms.
Trapezium.
Parallelogram.
Rectangle.
Rhombus.
Square.
Kite.
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ugfgvthgrfbuyjhdvyrdhsdgfbythdfgjhmhjilk.l
Answer:
yo same
Step-by-step explanation:
ur lookin pretty shreksy
