Find the factors of f(x) given that x = −3 is a zero.
f(x) = x^3 + 12x^2 + 47x + 60
(x + 3)(x + 4)(x − 5)
(x + 3)(x + 4)(x + 5)
(x − 3)(x + 5)(x + 6)
(x + 3)(x + 3)(x − 3)
[tex]x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)[/tex]
From the observation deck of a skyscraper, Jamal measures a 51° angle of depression
to a ship in the harbor below. If the observation deck is 1123 feet high, what is the
horizontal distance from the base of the skyscraper out to the ship? Round your
answer to the nearest hundredth of a foot if necessary.
Answer:
Your answer is 909.39 feet
Step-by-step explanation:
George and Marylin were both given the following example to complete on their
exam:
(152 +122-24x)
3.x
Below is each of their answers:
George
Marylin
(15x' +12° -24x)
3.x
(158° +12r -24x)
Зr
5r? +4x-8
5x +4x? - 8x
Which student is correct?
Explain the mistake that the other student made (Be detailed in your answer)
Answer:
this is not my level of math sorry i cant help you :(
Step-by-step explanation:
sorry
Area of rectangle and triangles!! HELP ASAPPP
Answer:
13. 15
14. 7.25
15. 18.7
16. 40.515
17. 9.6
18. 12.95
19. 20.4
20. 16.2
21. 24
22. 25.65
Find the measure of the missing angle
Please help me, I’ll give you points
Answer:
a = 28°
Step-by-step explanation:
62°+a° = 90°
a = 90 - 62
a = 28°
Answer:
∠A = 28°Step-by-step explanation:
Since we know that 62 + ∠A must equal 90°, we can find the missing angle by isolating the variable.
=> 62 + ∠A = 90°=> ∠A = 90 - 62=> ∠A = 28°Conclusion:
Therefore, the measure of the missing angle is 28°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
(03.01)
Is the following relation a function? (1 point)
x y
1 −2
1 −3
2 1
3 −2
Yes
No
Answer:
no
Step-by-step explanation:
the x values repeat itself
The given relation is not a function.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given a table of x and y values.
We have to determine the relation is a function or not.
By the definition of functions, a relation is a function if an input value does not map to two output values.
That is, an x value will not map to two y values.
From the table,
x = 1 maps to two y values -2 and -3.
This is not possible for functions.
So this is not a function.
Hence the relation is not a function.
Learn more about Relations and Functions here :
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I REALLY NEED HELP PLEASE!!! ILL GIVE BRAINIEST!!! IT ENDS TOMORROW I NEED HELP
Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in 1/2 hour. At the airport they exited the car and walked for 3/4 hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in 2 1/4 hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a can. It was a 15-minute cab ride to get to Kiley's grandmother's house which was 12.3 miles away.
Answer the flowing questions about Kiley's trip. All questions are written in terms of an average rate. Assume the average rate includes the time that Kiley is at rest. (that is, not moving)
In this task you will write the ratio of miles to hours for each leg of Kiley's trip. You will then, express the ratio as a decimal number. Next you will find the unit rate in miles per hour for each leg of the trip. If your unit rate includes a repeating decimal number, you must include which digits repeat (for example write 0.3_ when the 3 repeats) A description of each leg is listed below in parts A-F
Part A:
A car ride from Kiley's house to the airport
Part B:
At the airport, the walk from the car to the waiting area by the gate
Part C:
The left from the waiting area to the airplanes takeoff
Part D:
the airplane ride
Part E:
The walk from the airport to the cab
Part F:
The cab ride
Answer:
I A
Step-by-step explanation:
A is the answer sorry I cant conform
Answer:
[tex][tex]\red{\rule{100pt}{100000pt}}[/tex][/tex]
I NEED HELP ASAP
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover. 5 liters of paint can cover a wall with an area of 75 square feet.
a) What is the constant of proportionality? Tell how you found it.
b) Write an equation relating V and A.
c) How much paint would be needed to cover an area of 180 square feet? Show your work.
Whoever answers me correctly first will get extra points after this!
Hey! I believe this is the answer you're looking for:
https://brainly.com/question/16663256
Step-by-step explanation:
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.
This is written as:
\begin{gathered}V \propto A\\V=kA,$ where k is the constant of proportionality\end{gathered}
(a)5 liters of paint can cover a wall with an area of 75 square feet.
V=5 liters, A=75 square feet.
Substitution into V=kA
5=75k
k=5/75
\text{Constant of proportionality, k}=\dfrac{1}{15}Constant of proportionality, k=151
(b)Substitution of k=\dfrac{1}{15}k=151 into V=kA
The equation relating V and A is:
V=\frac{1}{15}AV=151A
(c)If A=180 Square feet
Volume of paint needed,
\begin{gathered}V=\frac{1}{15} X 180\\=12$ liters\end{gathered}
At a football game.120 tickets were solf and the concession stand sales were 600. The next week. 150 tickets were sold and the concession stand cells were $750. write a linear equation to represent this situation. How much would u expect the stand ti make if only 90 tickets sold
Answer:
450$
Step-by-step explanation:
A pump moves 360 gallons in 1 hour. How many gallons can be moved in 1 minute?
5/7(x-9)=25
what does x equal?
Answer:
[tex]x=44[/tex]
Step-by-step explanation:
[tex]\frac{5}{7}(x-9)=25[/tex]
[tex]5(x-9)=175[/tex]
[tex]x-9=35[/tex]
[tex]x=44[/tex]
. Macy's mom gives her $100 for her birthday. She buys shirts that're $15 each and pairs of pants that're $25 each. Which expression can be used to calculate how much money she has left? (Use s for shirts and p for pants.) *
Answer:
100-(15s+25p)
Step-by-step explanation:
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Evalute the expression X=6 y=-4 -3y+x
Answer:
y= 1/2
Step-by-step explanation:
y=-4 -3y+x
<=> y + 3y = -4 + x
<=> 4y = -4 + 6
<=> 4y = 2
<=> y = 1/2
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
$8.00
Step-by-step explanation:
20% of 44.85=8.97
thats the closest to 8.00
Answer:
the answer is 9 dollars cuz the real answer is $8.97 and round to the nearest whole the answer is 9
Step-by-step explanation:
Finding the Area of a Triangle
Calculate the area of the triangle:
A=
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
easy problem nice about of points
Answer:
1
Step-by-step explanation: i am not sure
Which point is located at (Negative 1, 1 and one-fourth)? A B C D
Answer:
Point A
Step-by-step explanation:
Look along the x axis (horizontal) and find -1. Then look on the y axis and find 1 and 1/4. Finally, find where the two coordinates meet and that's your point - A.
Hope this helps!
Solve for x
−4x+60<72 OR 14x+11<-31
Answer:
x ≠ -3
Step-by-step explanation:
Adding 4x-72 to the first inequality gives ...
-12 < 4x
-3 < x . . . . . divide by 4
Adding -11 to the second inequality gives ...
14x < -42
x < -3 . . . . divide by 14
Now we have ...
x < -3 or x > -3
The solution is x ≠ -3.
_____
The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.
Amy went to the store and bought 5 shirts that cost $10.59 each. She gave the cashier $60. How much change did she get back?
pls help and please show how you got it pls
Answer:
The answer is $7.05.
Hope it helps.
Step-by-step explanation:
Okay so Amy bought 5 shirts for $10.59 EACH.
So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.
So Amy gets $7.05 change back.
Write an equation for the graph.
Answer: y=5/3x+3
Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation
Realiza los desplazamientos de las figuras como se indican y contesta
Para desplazar o trasladar una figura siempre mueva la figura de acuerdo al ángulo o distancia indicado sin modificar el tamaño o características de la figura.
¿Qué significa desplazar una figura?El desplazamiento o traslación de una figura implica el desplazamiento de la figura de acuerdo a un ángulo determinado o distancia.
Este desplazamiento generalmente cambia la posición de la figura pero nunca debe cambiar:
El tamaño de la figura.Los ángulos o lados de la figura.Las características de la figura.¿Cómo trasladar una figura?Determine la dirección, ángulo o distancia en la que tiene que mover la figura, por ejemplo, trasladar la figura 5 cm hacia la derecha.Dibuje la figura en la nueva posición asegurándose con el uso de una regla u otras herramientas que la figura no cambie.Nota: Esta pregunta esta incompleta porque no hay información sobre las figuras que se deben trasladar ni las preguntas a responder, por está razón respondí la pregunta basado en conocimiento general.
Aprenda más sobre figuras en: https://brainly.com/question/14982752
three african elephants can weigh a total of 13,500 pounds. at this rate, how many do 2 african elephants weigh?
Answer:
Step-by-step explanation:
13500/3 = 4500
4500 x 2 = 9000
Find the length of side x to the nearest tenth.
300
x
1
60°
Answer:
x=65
Step-by-step explanation:
frEE po ints
Lets say you own a ferret store and you have 20,female ferrets worth $400 and 2, male ferrets worth 350 dollar ferrets. you sell 1male ferret and 8 female ferrets how much money do you get from the sellings?
pt.b
your store gets robbed and you loose 800 dollars worth of female ferrets and 350bucks worth of male ferrets how many ferrets do you have in still have in toatal?
Answer:
Part A, 3550$
Part B, Ten female ferrets left
Step-by-step explanation:
Solve for y. 4/7 y + 2/7 = 6
A) y = 20
B) y = -10
C) y = 10
Answer:
C) y = 10
Step-by-step explanation:
Subtract 2/7 from each side
4/7y = 40/7
Divide both sides by 4/7 (Multiply by 7/4)
y = 10
Answer:
C) y=10
Step-by-step explanation:
4/7y+2/7=6
7(4/7y+2/7)=7(6)
4y+2=42
4y=42-2
4y=40
y=40/4
y=10
A dog's leash is tied to a pole while the owners go into a restaurant to get the dog
some water. If the leash is 7 feet long and the dog can walk 180 degrees in a semi-
circle, how many feet can he walk if he extends the leash as far as it can go? Round
your answer to the nearest foot, and enter the number only.
Answer:
22 feet.
Step-by-step explanation:
Arc Length= Ø / 360 degrees * 2pir
(2pir = 2 * pi * radius)
Given: r = 7 feet
Ø = 180 so the fraction of the circle we seek is 180/360 = 1/2
Arc length: 1/2*2pi*7 = 21.99 ft
22 ft when rounded!
The length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
What is the length of the arc of the circle?The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.
Given that a dog's leash is tied to a pole while the owners go into a restaurant to get the dog some water. The leash is 7 feet long and the dog can walk 180 degrees in a semi-circle.
The length of the arc will be calculated as below:-
Arc Length= Ø / 360 degrees * 2pir
(2πr = 2x π x radius)
r = 7 feet and Ø = 180 the fraction of the circle we seek is 180/360 = 1/2
Arc length = 1/2 x 2 π x 7 = 21.99 ft
Therefore, the length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
To know more about the length of the arc of the circle follow
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find three consecutive numbers if their sum is 3n
Answer:
n-1,n,n+1
Step-by-step explanation:
let the numbers be x,x+1,x+2
x+x+1+x+2=3n
3x+3=3n
3x=3n-3
x=1/3 (3n-3)=n-1
so mumbers are n-1,n,n+1
The three consecutive numbers are n-1, n, and n+1.
We have to determine, the three consecutive numbers if their sum is 3n.
According to the question,
The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.
Let, the three consecutive numbers be x, x+1, and x+2.
The sum of three consecutive numbers is equal to 33.
[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]
Therefore,
The first consecutive number is,
[tex]\rm x = n-1[/tex]
The second consecutive number is,
[tex]\rm x+1 = n-1+1 = n\\[/tex]
The third consecutive number is,
[tex]\rm x+2= n-1+2 = n+1\\[/tex]
Hence, The three consecutive numbers are n-1, n, and n+1.
For more details refer to the link given below.
https://brainly.com/question/16048559
The price of a pair of shoes increases from $54 to $68. What is the percent increase to the nearest percent? [The percent increase is ___%]
Step-by-step explanation:
[tex]68 - 54[/tex]
[tex]14 \div 68 \times 100[/tex]
after doing that calculation you will get the percent increase
How many centimeters in 3.9 meters?
Step-by-step explanation:
hope this help you ......