Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
State the amplitude and period of f(x) = 3cos9/5t
Answer:
The amplitude is 3 and the period is 10π/9.
Step-by-step explanation:
The standard cosine function is in the form:
[tex]y=a\cos(b(x-c))+d[/tex]
Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.
We have the function:
[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]
We can rewrite this as:
[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]
Therefore, a = 3, b = 9/5, c = 0, and d = 0.
Hence, our amplitude is |3| = 3.
Our period will be:
[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]
Sofia works at a company where she gets a set 5% raise every year. If her current salary is $83,000, what will her salary be in 2 years?
Answer:
the answer is 91,5007.50 dollars
Step-by-step explanation:
find the first year you would do 83,000 times 105% and that would equal 87,150 next you would do 87,150 times 105% and I would equal to 91,507.50
Answer:
83830
Step-by-step explanation:
because 5percent of 83000 is 412 and 412 plus 412 is 830 and plus 83830
Constituents cuckoo chip
Watchu know ab Rollin down in the deep
Answer:
LOL
Step-by-step explanation:
Answer:
When your brain goes numb, you can call that mental freeze
Step-by-step explanation:
Check
What is the slope of the line on the graph?
X
-2
2.
4
-2
-4
[tex]slope = \frac{1}{2} [/tex]
Hope it helps you...
Two numbers that add to -8 and multiply to 16.
a store has 9 blue hats and 7 red hats for sale write the ratio of blue hats to all the hats
Answer:
9 : 7, or 9/16 to 7/16
Step-by-step explanation:
We know that there are 9 blue hats.
We know there are 7 red hats.
This is a 9 : 7 ratio.
In fraction form, we must find the total ratio, use that as the denominator, then take the seperate amounts, such as bluei adn red hats, and use that as the numerator:
9+7=denominator
denominator = 16
Blue hats = 9
Ratio of red = 9/16
Red hats = 7
Ratio of red = 7/16
Hope this helps!
Can you help me with this?
The answer is A.
Step-by-step explanation:
Domain = all possible values of x
From the graph, we can tell that x can be any value as the graph goes on forever.
Hence Df = {x: x <== All real numbers}
Which of the following theorems verifies that AHIJE AKLM? H K M ОА. НА O O O B. LA O C. HL O D. AA
===================================
Explanation:
HA = hypotenuse angle
The tickmarks tell us that the hypotenuse IJ is the same length as the hypotenuse LM. So that's the "hypotenuse" portion of "HA".
The "angle" portion refers to the acute angles HIJ and KLM being the same measure, as shown by the curved arc marking. We aren't referring to the right angles because the HA theorem can only be used for right triangles, so that means the right angle is already built into it (and we can ignore the right angles).
Notice how HA is a special case of AAS.
Okey hey, hi, hello, all I want to know is how to put this dang thing on the number line but I have searched everywhere and no one can help me !!!!!!!!
Can you ?
Your graph would be correct if the given equation was |x| = 5
This is because |x| describes the distance x is from zero, and asking |x| = 5 means we want to find which values are 5 units away from zero: those two values being 5 and -5.
--------------
However, your teacher gave you instead |x| = -5. The distance cannot be negative, so |x| is never negative. Therefore, |x| = -5 has no solutions
The graph will simply be an empty number line with no points plotted on it.
Sochi starts reading at 11 25 AM and ends at 12 09 PM How many minutes does Sochi read? Use the number pad to enter your answer in the box minutes
Answer:
Step-by-step explanation:
11.25=11.25 hrs
12.09=12.09 hrs
time=12.09-11.25=44 minutes
Answer:
44 minutes
Step-by-step explanation:
35 minutes from 11:25 AM to 12 pm
9 minutes from 12:00 pm to 12:09 pm
35 + 9 = 44 minutes.
Can someone pls explain I need help
Answer: 25
Step-by-step explanation: I just entered the equation into my calculator like so.
A negative number times a negative number equals a positive number.
I hope this helps, have a nice day.
0
Homework Progress
100 / 285
Find the value of x in each of the following
a) = 8
b) X = 6
The three sides lengths of four triangles are given. Which triangle is a right triangle?
Answer:
I believe the right answer is answer A
Find The Value of x to the nearest degree.
Answer:
Step-by-step explanation:
sin(x) = opposite over hypotenuse
= 3/(3sqrt(2))
= 1/sqrt(2)
= sqrt(2)/2
x = arcsin( sqrt(2)/2 )
= arcsin( sqrt(2)/2 )
= 45°
The given information is the _____ of the if-then statement.
A then
B if
C none of the above
How much heat will be necessary to supply 0.25 kg of a substance with specific heat 0.2 cal / g · ºC, so that its temperature goes from 5ºC to 59ºc? Q = Q = Q = Q =
I have no idea but maybe if you would pay attention in class you would know how to do it. I just need my points so I can keep getting answers. good luck tho
The graph of g(x) shown below has the same shape as the graph f(x)=2^x but it's shifted up 1 unit. What is the equation?
Answer:
B
Step-by-step explanation:
By adding one to the equation, you are shifting it up one along the y-axis, as the picture depicts.
I hope this helped!
A car is traveling at a constant rate of x miles per hour how many miles will the car travel in y minutes
Answer:
Step-by-step explanation:
1 mile
An expression equivalent to 4 - 2 (x + 5)
Answer:
Answer
5.0/5
13
jack295
The answer is 8x +20
Answer:
14 - 2x
Step-by-step explanation:
4 - 2(x + 5)
4 - 2x + 10
14 - 2x
Erin calculated the average speed of her most recent run to be 120/16 miles per hour how is this friction expressed as a decimal
Answer:
[tex]\dfrac{15}{2}[/tex]
Step-by-step explanation:
The average speed of the Erin is 120/16 mph
Here,
Numerator = 120
Denominator = 16
mph = miles per hour
We need to find an expression expressed as a decimal.
So,
[tex]\dfrac{120}{16}=\dfrac{2\times 3\times 2\times 2\times 5}{2\times 2\times 2\times 2}\\\\=\dfrac{15}{2}[/tex]
So, the final answer is [tex]\dfrac{15}{2}[/tex].
Graph the following features:
Slope = -1/3
Y-intercept = 3
40% of students prefer to use pencils over pens for their assignments. What is the probability that you randomly select four students and all four prefer to use pencils over pens?
Answer:
0.0233
Step-by-step explanation:
We are told that 40% of students prefer to use pencils over pens for their assignments.
This means 40 out of 100 students prefer to use pencils over pens.
Thus, for the first draw, P(pencil over pens for first draw) = 40/100
Since person using pencil over pens is selected without replacement, then, we now have a sample space of 99;
Second draw; P(pencil over pens for 2nd draw) = 39/99
Similarly, for third draw; P(pencil over pens for 3rd draw) = 38/98
For fourth draw; P(pencil over pens for 4th draw) = 37/97
Thus;
probability that you randomly select four students and all four prefer to use pencils over pens is;
P(all four prefer pencils over pens) = (40/100) × (39/99) × (38/98) × (37/97) = 0.0233
a. Name two different ways to name the plane shown in the figure.
b. Name any three collinear points in the plane.
c. Name any two intersecting lines in the given plane.
Answer:
A. Plane SXT, Plane PQR
B. Points S, R, and T
C. Line ST and Line PQ intersect [] Line PQ and Line YX intersect
Step-by-step explanation:
For the image below we decrypt ;
Plane: PQR , SXTCollinear points: S, R, TIntersecting lines: PQ, XY and STThis is further explained below.
What are Plane, Collinear points, and Intersecting lines?Generally, a Plane is simply defined as three noncollinear endpoints, two parallel lines,
If two or more points are located on the same straight line, they are said to be collinear.
In conclusion, Intersecting lines cuts across one or more lines to create an intercept
Read more about Intersecting lines
https://brainly.com/question/11297403
#SPJ9
The angle of elevation of a car to the top of a tree is 60°. If the height of the tree is 34 feet, find the distance between the car and the tree rounded to the nearest whole number.
Answer:
17 feet
Step-by-step explanation:
cos = adj/hyp
cos60 = adj/34
34 * cos60 = adj
adj = 17
Identify the explicit function for the sequence in the table x 1,2,3,4,5 y 9,14,19,24,29
Answer:
[tex]a_{n}[/tex] = 5n + 4
Step-by-step explanation:
There is a common difference between the consecutive terms of y
29 - 24 = 24 - 19 = 19 - 14 = 14 - 9 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 5 , then
[tex]a_{n}[/tex] = 9 + 5(n - 1) = 9 + 5n - 5 = 5n + 4
answer options for anyone who can give correct answer
35 POINTS. PLS HELP
What is the approximate volume of the composite figure? Use 22/7 for pi. Round to the nearest hundredth. Enter your answer in the box.
Answer:
188.57 cm³
Step-by-step explanation:
Half sphere = 1/2 volume sphere
Sphere = 4/3 * 22/7 * 3³
Sphere = 4/3 * 22/7 * 27/1
Sphere = 2376/21 = 113.14
113.14 / 2 = 56.57
Cone = 22/7 * 3² * h/3
Cone = 22/7 * 9/1 * 14/3
Cone = 2772/21 = 132
132 + 56.57 = 188.57 cm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
about 13.4cm^3
Step-by-step explanation:
multiply 14x3 divided by 3.14
Write the other side of this equation so it's true for no values of x: }(6x - 10) - x =
Answer:
(6x - 10) - x = 5(x - 2)
Step-by-step explanation:
6x - 10 - x
5x - 10
5x - 10 = 5(x - 2)
5x - 10 = 5x - 10
5x - 10 ÷ 5 = 5x - 10 ÷ 5
x - 2 = x - 2
No solution.
x - 2 + 2 = x - 2 + 2
x = x
Calculate the following
S2+54+18+46+237
Note that you can make the work very easy by being smart in deciding how to
group the operations
Answer:
S2 + 355
Step-by-step explanation:
Given the expression to evaluate :
S2+54+18+46+237
Since the values are bound by the addition operator, we take the sum of the like terms ;
S2 + (54+18+46+237)
S2 + 355
Q. Find missing angle
a.60
b.36
c.30
d.41
e.49
Answer:
b or c
Step-by-step explanation:
Bryan’s monthly electric bill is determined by adding a flat administration fee to the product of the number of kilowatt hours of electricity used and the cost per kilowatt hour. When he uses 1,100 kilowatt hours of electricity, his bill is $113. When he uses 1,500 kilowatt hours of electricity, his bill is $153. What is the monthly administration fee?
We will form the equations for this problem:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
z = ? Monthly administration fee is notated with z, and that is the this problem's question.
Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.
Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.
The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
----------------------------
(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:
(2) 1500*y + (113 - 1100*y) = 153
-------------------------------------------------
(1) z = 113 - 1100*y
(2) 1500*y + 113 - 1100*y = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y + 113 = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 153 - 113
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 40
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 40/400
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 1/10
------------------------------------------------
if we insert the obtained value of y into (1) equation, we get the value of z:
(1) z = 113 - 1100*(1/10)
(1) z = 113 - 110
(1) z = 3 dollars is the monthly fee.
credit: freesparrow
Answer:
3
Step-by-step explanation:
bc it is