[tex]\text{According to the factor theorem,}\\\\x-a~ \text{is a factor of}~ f(x)~ \text{if}~ f(a) = 0, ~ \text{where}~ a \in\mathbb{R}\\\\\text{Given that,}\\ \\P(x) = x^7 -5x^5 +2x^4 -x^2 +9\\\\P(6) = 6^7 -5\cdot 6^7 +2 \cdot 6^4 -6^2 +9 = 243621 \neq 0\\\\\text{Since} ~ P(6)\neq 0~, ~ x -6 ~ \text{is not a factor of P(x).}[/tex]
When shopping for a baby doll for her daughter, Ms. Martin found that the price of four baby dolls was less than $102. Which
of the following inequalities represents this information?
OA. 4+ b≤ $102
OB. 4x b< $102
OC. 4x b≤ $102
OD. 4+ b< $102
If you help me I will give 100 points
Answer:
b
Step-by-step explanation:
because it is 4 dolls and x is the amount of dollars 1 doll is and 4x dolls are less then 102, the only answer that makes sense is b
The answer is B. I will choose to explain by process of elimination. It is not A because it is not less than or equal to, it is just less than. Therefore, we can also eliminate C. It is not D because it is four dolls that cost the same so it is 4x instead of 4+x. I hope I helped!
apples cost $3.99 for 3 lbs. Susan wants to buy 5 lbs. How much will it cost her?
Answer: $5.99 is the answer hope this helps!
Please Answer fast
Find the value of x°.
Answer:
X=60°
Step-by-step explanation:
Because the sum of angle of all side of a triangle is 180°
and
if that goes on
the equation become
x°+75°+45°=180°
x°+120°=180°
x°=180°-120°
x°=60° hence prove
Select the correct answer.
Teams with varying numbers of players are playing a group card game. The time taken by each team to complete one game is given in the table.
What is the relationship between the two variables?
Number of Players on the Team Time Taken to Complete Game (in minutes)
32
2
26
3
20
14
5
8
OA positive linear association
OB. exponential relationship
OC. negative linear association
O D.
no relationship
Answer:
a negative linear association (C)
Re-Written Problem [Formatted]
Teams with varying numbers of players are playing a group card game. the time taken by each team to complete one game is given in the table. What is the relationship between the two variables?
Numbers of players on team are going to be 1, 2 , 3, 4, 5.
time taken to complete game (in minutes) 32, 26, 20, 14, 8
(Select the correct answer)
A. Positive linear association
B. Exponential relationship
C. Negative linear association
D. No relationship
----------------------------------------------------------------------------------
Step-by-step explanation:
Lower x values (numbers of players on team) are correlated with higher y values (time taken to complete game)
[note: I know which values are x and y because of a cause-and-effect relationship. x causes y. number of players causes a change in minutes {it wouldn't make sense for the number of time it took to cause the number of players} ]
So, if we were to graph this relationship, we would see a downward-slope / negative slope of a line, because greater x-values are associated with lower y-values.
So, you would see a negative line, showing a negative linear association.
What is the value of x?
log 3x =4
A. 7 B. 27 C. 81 D. 12
Answer:
81
Step-by-step explanation:
for example log2 8=3 is the same as 2^3=8, so if you switch around the variables from your question, your able to do 3^4, which is 81
Cool Down
Lesson 3: Reasoning about Equations with Tape Diagrams
Cool Down: Three of These Equations Belong Together
Here is a diagram.
X
1. Circle the equation that the diagram does not match.
06+3x=30
03(x+6)=30
0 3x-30-6
030-3x+6
2. Draw a diagram that matches the equation you circled.
Using the figure given, The one equation that matches with the diagram is 3x=30-6. The diagram that matches the equation circled is given in the image attached.
What is the Equations about?From the above, we can see that the equation that matches with the diagram are:
3(x+6)=3030=3x+66+3x=30Note that for 3(x+6)=30
3x + 18 = 30
3x = 30-18
3x = 12
x = 12/3
x = 4
Then fixing x into the equation =
3(x+6)=30
3(4+6)=30
Therefore , 12 + 18 will give us 30 and the answer is straight forward. The same applies for 30=3x+6 and 6+3x=30 as the answer is straight forward.
But the one equation that does not matches with the diagram is 3x=30-6 because its output is not straight forward.
3x =30-6
3x = 24
x = 24/3
x = 8
Fixing 8 into the equation
3x = 30-6
3(8) = 24
=24 is the answer and not 30
Therefore, Using the figure given, The one equation that matches with the diagram is 3x=30-6.
Learn more about equation from
https://brainly.com/question/2972832
#SPJ1
help me pls dont write fake answers pls
Answer:
it’s C, 5.2
hope i helped
ur wlcm :)
correct me if im wrong
F. In what order should items weighing
51 pounds, 40 pounds, 48 pounds,
and 44 pounds be stacked if you want
them in order from heaviest to lightest?
Answer:
51 pounds, 48 pounds, 44 pounds and 40 pounds in that chronological order.
One of the roots of the equation x^2-13x+q=0 is 12. Find the other root and the value of the coefficient q.
The other root is 1 and the value of the coefficient q is 12.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x. ax²+bx+c=0. with a ≠ 0 .
Given:
x²-13x+q=0
when x= 12
So, 12²-13*12+q=0
144-156+q=0
-12+q=0
q=12
Now, x²-13x+12=0
x²-12x-x+12=0
x(x-12) - 1(x-12)=0
(x-1)(x-12)=0
x=1, 12
Learn more about quadratic equation here:
https://brainly.com/question/17177510
#SPJ1
ƒ(x) = 4x² + 5x – 3
g(x) = 4x³ - 3x² +5
Find (ƒ + g)(x)
(f+g)(x)
= f(x) + g(x)
= 4x^2 +5x -3 + 4x^3 -3x^2 +5
= 4x^3+x^2+5x+2
The large rectangle shown here is 3cm by 5 cm. What is a direct way to determine the area of the rectangle in square centimeters that relies on the meaning of area?
Answer:
Place the squares on the rectangle.
Step-by-step explanation:
Hello!
The area of the 1cm by 1cm square is 1 square cm.
We can solve for the area by placing multiple of those squares in the larger rectangle.
If we place it, we get 15 placed squares, with a total area of 15 square cm. This relies on the meaning of area, as we are simply measuring the number of square cm taken up by the object.
We would place 3 rows of 5 squares, representing a height of 3 cm (side length of 3 squares), and a length of 5 cm (side length go 4 squares).
This also proves the area formula A = L * W, as we multiple the side lengths to find the number of square units.
El número equivalente de 25/50 por favor
Answer:
El número equivalente de 25/50 es 1/2
Step-by-step explanation:
3.1. Without counting. determine the number of seats in the theatre. Show your working out. on the balcony
Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.
What number of seats does the theatre have?The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.
The total number of seats in the theatre are:
= Number of seats on balcony / Proportion of seats this represents
Solving gives:
= 120 ÷ 1/5
= 120 ÷ 0.2
= 600 seats
Find out more on ratios and proportions at https://brainly.com/question/11041750.
#SPJ1
I AM MARKING BRAINLIEST TO CORRECT ANSWER!!! PLEASE HELP!
Answer:
135
Step-by-step explanation:
3b + B = 180
4b = 180. ÷4
b = 45
a = 135
The question is in the image. I
Polygon G H I J K has 5 sides.
Which statements are true about the regular polygon? Select three options.
The sum of the measures of the interior angles is 900°.
Each interior angle measures 108°.
All of the angles are congruent.
The polygon is a regular hexagon.
The sum of the measures of the interior angles is 180(5 – 2)°.
Answer:
Each interior angle measures 108°.All of the angles are congruent.The sum of the measures of the interior angles is 180(5 – 2)°.Step-by-step explanation:
(1) The sum of the interior angles of a polygon is [tex]180(n-2)[/tex] degrees, where n is the number of sides. In this case, n=5, so the sum is 180(5-2)=540 degrees, meaning the first statement is false.
(2) Since the angles add to 540 degrees, dividing this amongst the five equal angles, we get that each angle measures 108 degrees, so this statement is true.
(3) By definition, all angles of a regular polygon are congruent.
(4) A hexagon has 6 sides, but this polygon has only 5 sides, so this statement is false.
(5) This is true. (See statement (1)).
Answer:
Options B, C, E
Step-by-step explanation:
Using the GCF factor the given expression: 21xy + 14y
7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
Since 7y is common to both factors, hence the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
Greatest common factor of an expressionThe greatest common factor is the value that will divide an expression without leaving a remainder.
Given the expression 21xy + 14y
Find the factors
21xy = 7 * 3 * x * y
14y = 7 * 2* y
Since 7y is common to both factors, hence the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
Learn more on GCF here: https://brainly.com/question/219464
#SPJ1
Which equation represents the rectangular form of theta = 5Pi/6
Answer:
D
Step-by-step explanation:
i just took a test with that question
A boat is heading towards a lighthouse,
whose beacon-light is 113 feet above the
water. The boat's crew measures the angle of
elevation to the beacon, 7°. What is the
ship's horizontal distance from the
lighthouse (and the shore)? Round your
answer to the nearest tenth of a foot if
necessary.
Answer: 920.3 ft
Step-by-step explanation:
[tex]\tan 7^{\circ}=\frac{113}{x} \\ \\ x(\tan 7^{\circ})=113 \\ \\ x=\frac{113}{\tan 7^{\circ}} \approx \boxed{920.3 \text{ ft}}[/tex]
What is the solution of the system of equations shown in the graph? On a coordinate plane, a line goes through (0, 4) and (2, 0) and another line goes through (0, negative 1) and (2, 0). The lines intersect at (2, 0). a. (0, 2) c. (0, 4) b. (2, 0) d. (0, -1)
Answer:
(2,0)
Step-by-step explanation:
The intersecting points of the two lines is the solution for the two equations.
(2,0) is the solution.
Which of the following functions is graphed below?
Answer:
A.
Step-by-step explanation:
the correct answer is A. y=|x-2|+3.
For more details see the attachment.
A jet travels 590 miles in 5 hours; how far can it travel in 11 hours. With an explanation.
Answer:
1298 mi
Step-by-step explanation:
In 5 hours, a jet would travel 5 times the distance that it would if it were to travel for one hour. This means that 590 is five times the distance of one hour. So, 590 divided by 5 is 118, so the jet travels 118 miles in one hour(this is basically the speed).
We can do the reverse to find how far it can travel in 11 hours given the jet travels 118 miles an hour. Using the same logic, the jet would travel 118 in each of the 11 hours, which is 118 x 11: 1298 mi.
Find the slope between :
(0,6
(8,-6)
This is for my hw.
Answer:
Exact form: -3/2
Decimal Form: -1.5
Step-by-step explanation:
Hello there!
We need to find out the slope of the given two coordinates/points, that are:
(0,6(8,-6)Solution:
We'll need to use the formulae that is used to find out the slope,that is:
[tex] \pink{\star}\boxed{\rm \: Slope = \cfrac{y_2 -y_1}{x_2 - x_1}} \pink{\star}[/tex]
According to this question,here:
[tex]\rm \blue{\star} (y_2 , y_1) = (-6 , 6) \blue{\star}[/tex][tex]\rm \blue{\star}(x_2 , x_1)= (8 , 0) \blue{\star}[/tex]So substitute them accordingly:
[Slope is denoted as m][tex] \rm \: m = \cfrac{ - 6 -( 6)}{8 - 0} [/tex]
Simplify using PEMDAS rule.
[tex] \rm \: m = \cfrac{ - 12}{8} [/tex]
-12/8 could be canceled.
[tex] \rm \: m = \cfrac{ - 6}{4} [/tex]
-6/4 could also be canceled.
[tex] \boxed{ \rm \: m = \cfrac{ - 3}{2} \: or \: - \cfrac{3}{2} }[/tex]
Or it could be represented as decimal:
[tex] \boxed{ \rm \: m = - 1.5}[/tex]
Hence , the slope m will be -3/2 or -1.5
[tex] \rule{225pt}{2pt}[/tex]
X
23 25 26 31 34 38
P(X)
0.16 0.09 0.18 0.12 0.24 0.21
What is the mean of this discrete random variable? That is, what is E(X), the
expected value of X?
A. 31.29
OB. 30.47
OC. 29.5
OD. 28.5
Using it's formula, it is found that the mean of the discrete random variable is given by:
B. 30.47.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Hence, considering the table, the mean of the discrete distribution is:
E(X) = 23 x 0.16 + 25 x 0.09 + 26 x 0.18 + 31 x 0.12 + 34 x 0.24 + 38 x 0.21 = 30.47.
Hence option B is correct.
More can be learned about the mean of a discrete random variable at https://brainly.com/question/26660401
#SPJ1
Work out, giving your answer in its simplest form: 3 3/4 × 2 4/5
Answer:
⇒ [tex]\frac{21}{2}[/tex]
or
⇒ [tex]10 \frac{1}{2}[/tex]
Step-by-step explanation:
3 3/4 = 15/4
2 4/5 = 14/5
⇒[tex](\frac{15}{4} *\frac{5}{5} )(\frac{14}{5} *\frac{4}{4} )[/tex]
⇒[tex]\frac{75}{20} *\frac{56}{20}[/tex]
⇒[tex]\frac{4200}{400}[/tex]
⇒ [tex]\frac{21}{2}[/tex]
or
⇒ [tex]10 \frac{1}{2}[/tex]
Solve the Application.
In one week Tommy earns $476 in regular pay and $144 in overtime pay. A total of $197 is deducted from his paycheck for taxes and a company loan. What is his take-home pay?
$423
$413
$433
$533
[tex] \large\frak{ \purple{ Question}}[/tex]
In a certain class, one-third of the students were absent. Half of the total strength attended the Maths test and one-fourth of the total strength attended the Physics test. If 6 students attended both the tests and every student who was present attended at least one of the two tests, then how many students were absent on that day?
[tex] \rule{64mm}{3pt}[/tex]
[tex] \bull\: \large \blue{\sf{ No \: Spam}}[/tex]
[tex] \bull\: \large \orange{\sf{ With \: explanation} }[/tex]
[tex] \rule{64mm}{4pt}[/tex]
[tex] \large \underline{ \underline{\frak{ Expecting \: answer \: from }}}[/tex]
[tex] \bull \: \small \pink{\rm{ Best \: users }}[/tex]
[tex] \bull \: \small \green{\rm{ Brainly \: star }}[/tex]
[tex] \bull \: \small \red{\rm{ Trusted \: helpers }}[/tex]
[tex] \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull \bull[/tex]
The number of students that were absent is; 24
How to find the Probability?
Let the total number of students be x .
The number of students which were absent = ¹/₃x.
Number of students which were present = ²/₃x
Thus;
Number of students who attended math's test = ¹/₂x
Number of students who attended physics test = ¹/₄x
No. of students who attended both tests = 6
A denotes number of students who attended math's test
B denotes number of students who attended physics test
Thus;
n(A) = ¹/₂x
n(B) = ¹/₄x
n(A ∩ B) = 6
n(A∪B) = number of students which were present
Thus;
n(A ∪ B) = n(A) + n(B) − n(A∩B)
²/₃x = ¹/₂x + ¹/₄x − 6
²/₃x = ³/₄x - 6
³/₄x - ²/₃x = 6
x = 72
Thus, number of students that were absent = ¹/₃ * 72
Number of students that were absent = 24
Read more about Probability at; https://brainly.com/question/251701
#SPJ1
Andrew's number is 4 less than Sophia's number. The
sum of their numbers is 46. Find the numbers
a bicycle wheel has a diameter of 65cm what is the length of 1000 revolutions of the wheel in metres
Answer: 2041 meters
A bicycle wheel is a circular object.
The circumference of a circle is 2π(radius)
Here given:
diameter: 65 cmradius = diameter/2 = 65/2 = 32.5 cmHence find the length for each revolution:
2π(32.5) = 204.1 cm per revolutionThen for 1000 revolutions:
204.1 × 1000 = 204100 cm ≈ 2041 meter5 divided by 4/9
i need the answer in a fraction form please.