The quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2
How to determine the quotient?The quotient expression is given as:
[tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex]
Expand both expressions
[tex](x + 3)(x + 2)(x +1) \div (x + 3)(x +1)[/tex]
Cancel out the common factors
x + 2
Hence, the quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2
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please only answer question b
Answer:
P = 12 + 2π cm
Step-by-step explanation:
arc length is calculated as
arc = circumference × fraction of circle
the angle subtended at the centre of the sector = 360° - 300° = 60° , then
arc = 2πr × [tex]\frac{60}{360}[/tex]
= 2π × 6 × [tex]\frac{1}{6}[/tex]
= 2π
the perimeter (P) = 6 + 6 + 2π = 12 + 2π
Are there real-world examples of both two- and three-dimensional figures?
if so what are they?
Answer:
yes
Step-by-step explanation:
because a shadow cab be expressed by a two dimension
Which of the following are solutions to the inequality below? Select all that apply.
5 ≥ s
Answer:
: w ≤ - 6
Step-by-step explanation:
whats 2 divide by 1/6.
Answer:
1/3
Step-by-step explanation:
2 divided by 1/6
2/1 divided by 1/6
2/6 ---> Simplify: 1/3
Answer:
12
Step-by-step explanation:
the answer is 12 because 2 dived by 1/6 is 12 i used a calculator to fund the answer btw
PLEASE HELP ILL MARK BRAINEST!!!!
Answer:
1, 6, 11, and 16 in that order
Step-by-step explanation:
every time the x value increases by 1, the f(x) value increased by 5
A cube has a volume of 1000 cubic feet. what is the length of an edge of the cube? show how you found the answer. please help
volume = (side length)³
Alternatively we could say that;
Side length = ∛volume
(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)
Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.
We know that the volume is 1000 cubic feet, so;
Side length = ∛1000
∛1000 = 10
So the length of an edge of the cube is 10 feet.
Using the equation, y=5x²−17x −12, determine whether the parabola opens upward or downward.
Answer:
opens upwards
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
• if a > 0 then parabola opens upwards
• if a < 0 then parabola opens downwards
given
y = 5x² - 17x - 12
with a = 5 > 0
then parabola opens upward
Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)
a. 5x + 9y = -45
c. -9x + 5y = 45
b. 9x + 5y = -45
d. 5x - 9y = 45
Answer:
Step-by-step explanation:
Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)
a. 5x + 9y = -45
c. -9x + 5y = 45
b. 9x + 5y = -45
d. 5x - 9y = 45
Identify the image of ∆XYZ for a composition of a 10 degree rotation and 80 degree rotation, both about point X.
a right cylinder has a height of 22 1/4ft and a diameter 2 2/5 times it’s height. what is the volume of the cylinder
Answer:
Step-by-step explanation:
Answer:
Check Below
Step-by-step explanation:
given things : 1. height of cone = 22* 1/4 feet or 89/4 feet
2. diameter of cylinder = 2* 2/5 times of height
= 12/5 times of height or 12/5 * 89/4
= 89*3/5 feet
now formula of volume of cone = Pi R² * H
= (3.14) ( D/2)² * H
= (3.14)* (89*3/10)² * 89/4
= (3.14) * (26.7)² * 22.25
= (3.14) * 712.89 * 22.25
= (49806.06)
Hope u find this answer Helpful !
pls help odd numbers only
Answer:
The question asks, "find the slope".
9) -4/15
10) -1/14
11) -3/4
12) -1/4
13) 11/17
14) -18/13
15) 0
16) -30
17) -5
19) -1/5
21) 1/4
23) -1
25) -2/3
Answer this, Please help.
Step-by-step explanation:
y-x+2 =0 is the right answer so try in that way
the hypotenuse of a right triangle has endpoints (2,7) and (11,-5) what is the perumeter of the triangle?
Answer:
36 units
Step-by-step explanation:
Using the coordinates, you can find the length of each leg of the triangle.
Find the distance between the x-coordinates, 2 and 11 by subtracting.
11 - 2 = 9.
Find the distance between the y-coordinates, 7 and -5 by subtracting.
7 - (-5)
7 + 5 = 12
The two legs of the right triangle are 9 and 12.
Use the pythagorean theorom to find the hypotenuse.
[tex]a^{2} +b^{2} =c^{2} \\9^{2} +12x^{2} =c^{2} \\81 + 144 = c^{2} \\225 = c^{2} \\\sqrt{225}=\sqrt{c^{2} } \\c = 15[/tex]
The three sides of the triangle are 9, 12, and 15. To find the perimeter, add the sides together.
9 + 12 + 15 = 36
given b( 5, -7), under which reflection is B' (-5, -7)?
Answer:
reflection in the y- axis
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y )
B (5, - 7 ) → B' (- 5, - 7 ) ← is a reflection in the y- axis
What is the value of x in the equation 2/3(1/2x+12)=1/2(1/3x+14)-3
A.-24
B.-6
C.-2/3
D.0
Find the outer perimeter of this figure.
Round your answer to the nearest hundredth.
Use 3.14 to approximate .
12.2 ft.
10 ft.
6 ft.
14 ft.
P = [?] ft.
Answer:
61.90
Step-by-step explanation:
12.2+14+14+6=46.2
of semi circle
circumference of semi circle = [tex]\pi[/tex]d
[tex]\pi[/tex]x10 = 10[tex]\pi[/tex]
semi circle so divide by 2 = 5[tex]\pi[/tex]
5[tex]\pi[/tex] = 15.7
46.2 + 15.7 = 61.9
The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.
Which statements are true based on the model?
Select each correct answer.
The store earns about $50,000 in profits on its best days.
Maximum profits are earned when there are 6 clerks working.
The store earns profits when no clerks are working.
Maximum profits are earned when there are 3 clerks working.
The store loses money when 7 or more clerks are working.
Answer:
See below ~
Step-by-step explanation:
The true statements based on the graph :
Maximum profits are earned when there are 3 clerks working.The store loses money when 7 or more clerks are working.Please Help me ( i give brainly) Given the graphs of the three functions below...At what x value are all functions equal to each other?
x = 0
x = 10
x = 7
x = 4
Answer:
7
Step-by-step explanation:
Because it is asking what X value are all the functions equal to just find a point that lies on X that they all come to.
In this case it's 7
Answer:
x = 7
Step-by-step explanation:
The functions are equal to each other where the lines of the functions intersect each other.
The intersection point is (7, 3).
The x-value at this point is 7.
Hence, x = 7.
Write the expression in repeated multiplication form. Then write the expression as a power.
(6^4)^2
The expression in repeated multiplication form is
The expression as a power is
Answer:
Step-by-step explanation:
a. (6)^(4*2) or (6^4)(6^4)(6^4)(6^4)
b. 6^8
The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. a 40-kg object is 2 meters off the ground. the potential energy of the object is 784 joules. a 10-kg object is 3 meters off the ground. what is the potential energy of the 10-kg object? 33 joules 131 joules 294 joules 1,176 joules
The potential energy of the 10-kg object is 294 joules.
What is Variation?Variation is a mathematical term that shows the relationship between two or more parameters or quantities in an equation.
Analysis:
let potential energy be = P
let mass be = m
let height be = h
P ∝ mh
P = kmh
when P = 784, m = 40kg, h = 2 meters
784 = k x 40 x 2
k = 9.8
P = 9.8mh
when m = 10kg, h = 3 meters
P = 9.8 x 10 x 3 = 294 joules.
In conclusion, the potential energy of the object at 3 meter height is 294 joules.
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Help?????????????????
Answer:
please make the image less blurry
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION !!
3 √5 + 15 √5
Answer:
18√5 or Decimal Form: 40.24922359…
Step-by-step explanation:
A jar of pennies weighs 50 ounces. If the number of pennies inside the jar is doubled, the jar of pennies will weigh 92 ounces. How much does the jar weigh?
Answer:
8 ounces
Step-by-step explanation:
50×2=100
100-92=8
there ya go
Aldo is a software salesperson. His base salary is $2500 and he makes $80 more for every copy of English is Fun he sells. His total pay, p (in dollars), after selling c copies is given by the following.
p=80c+2500
Answer the following questions.
(a)
If Aldo's total pay is $5140, how many copies did he sell?
? copies
(b)
What is Aldo's total pay if he sells 23 copies?
$
Answer:
A: He sold 33 copies
B: $4340
Step-by-step explanation:
A: p=80(33) + 2500
p=2640+ 2500
p=5140
B: p = 80(23) + 2500
p=1840+ 2500
p=4340
X-
x=8
r=3
Find the measure (in degrees) of the central angle subtended by the arc length of 8 centimeters
Answer:
Step-by-step explanation:
please help me i really don't understand it
Answer:
32 possible outcomes
Step-by-step explanation:
4 × 2 × 4 = 32
PLEASE HELP <3 Figure out which ones best fit the graph
The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the graph using points (0, 12) and (4, 0):
y intercept = 12; slope = (0 - 12)/(4 - 0) = -3
The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.
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8. Sabrina works in a restaurant. The dessert of the day is a slice of apple pie. Today, Sabrina served 33 slices of pie to her customers.
If there are 8 slices per pie, how many pies did Sabrina serve today? Write your answer as a mixed number.
with solutions
Please help thank you
Step-by-step explanation:
33÷8= 4 with one left over
4 and 1/8 is your mixed number!
Find the surface area of the rectangular prism.
4 yd
3 yd
3 yd
Answer:
[tex]A = 66\ yd^2[/tex]
Step-by-step explanation:
You can either add up all the areas of the faces of the rectangular prism, or you can use the following formula:
[tex]A = 2(wl+hl+hw)\\A = 2(3 \times 3 + 4 \times 3 + 4 \times 3)\\A = 2(9+12+12)\\A = 2(33)\\A = 66[/tex]
Answer:
The surface area of the rectangular prism is [tex]66\ yd^2[/tex]
Step-by-step explanation:
Step 1: Find the area of the front and back
[tex]A = l * w[/tex]
[tex]A = 3\ yd * 4\ yd[/tex]
[tex]A = 12\ yd^2 * 2[/tex]
[tex]A = 24\ yd^2[/tex]
Step 2: Find the area of the top and bottom
[tex]A = l * w[/tex]
[tex]A = 3\ yd * 3\ yd[/tex]
[tex]A = 9\ yd^2 * 2[/tex]
[tex]A = 18\ yd^2[/tex]
Step 3: Find the area of the left and right sides
[tex]A = l * w[/tex]
[tex]A = 3\ yd * 4\ yd[/tex]
[tex]A = 12\ yd^2 * 2[/tex]
[tex]A = 24\ yd^2[/tex]
Step 4: Total area
[tex]A_{total} = 24\ yd^2 + 18\ yd^2 + 24\ yd^2[/tex]
[tex]A_{total}= 66\ yd^2[/tex]
Answer: The surface area of the rectangular prism is [tex]66\ yd^2[/tex]
Line segment EF begins at (-1,5) and ends at (-1, -3). The segment is translated to the right 4 units and down
2 units to form line segment E'F.
Enter the length, in units, of line segment E'F.
The coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
Line segment EF begins at (-1, 5) and ends at (-1, -3). The segment is translated right 4 units and down 2 units to form line segment E'F'. Then the coordinate of E' and F' will be:
E' = (-1 + 4, 5 – 2) = (3, 3)
F' = (-1 + 4, -3 - 2) = (3, -5)
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The length of the E'F' = √(0 + 64) = 8 units
Thus, the coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.
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