Answer:
f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5)
Step-by-step explanation:
f(x) = 4x^3 + 11x2 - 104x + 105
has the coefficients {4, 11 -104, 105}. We perform synthetic division using the given -7 as divisor:
-7 / 4 11 -104 105
-28 119 -105
-----------------------------------
4 -17 15 0
Since the remainder is zero (0), we have shown that -7 is a zero of f(x). The coefficients of the quotient (above) are {4, -17, 15}. Let's try factoring the corresponding polynomial again using synthetic division. Start out by using 5 as divisor and determining whether or not the remaindeer is zero:
5 / 4 -17 15
20 15
-------------------------
4 3 30 No, the remainder is 30 and so 5 is not a
root of this quadratic. Try the divisor 3 instead:
3 / 4 -17 15
12 -15
---------------------------
4 -5 0 Yes, the remainder is 0 and so 3 is a root.
Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:
f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5). Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.
What is the height and area of the polygon?
Answer:
Below in bold.
Step-by-step explanation:
If we draw a line from top right vertex perpendicular to the bottom line we get a right triangle.
Height of this triangle = sqrt(5^2 - 3^2) = 4.
This is also the height of the polygon.
The polygon is a trapezium so:
Area of the polygon = 1/2(5 + 8) * 4
= 6/5 * 4
= 26 m^2.
Angela can paint 3 sections in 25 minutes.
How many minutes will it take Angela to
paint 12 sections?
Answer:
Análisis del problema
Nos dan como datos el tiempo que se tarda cada uno en pintar la habitación:
Gerardo: 3 horas
Ángel: 6 horas
La velocidad de trabajo podemos definirla como dada por la cantidad de habitaciones que pueden pintar sobre el tiempo: H/t
Gerardo: 1 hab /3h
Ángel: 1 hab / 6h
Sumamos ambas velocidades de trabajo:
Por lo tanto entre los dos pintarían una habitación en dos horas.
Answer the photo below thanks
Answer:
x=50
Step-by-step explanation:
65+65=130
180-130=50
Answer:
50 is the answer
Step-by-step explanation:
this is a isosceles triangle having 65 and 65
then 65 + 65 + x = 180 property of traingle
130 + x = 180
x = 180- 130 = 50
Help quickly!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
option D
Step-by-step explanation:
the value of x = 68
plz mark my answer as brainlist plzzzz .
hope this will be helpful to you .
Answer:
x=68
Step-by-step explanation:
22+x=90 90-22/68
x=68
How many pounds are equal to 400 ounces
Answer: 25 pounds
Step-by-step explanation:
1 pound = 16 oz
400 oz / 16 oz = 25 pounds
I am not a professional, I am simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
In rectangle PQRS, SP = 3 and RS = 4. What is the length of PR? (Hint: use
the Pythagorean theorem to solve for the diagonal) *
What is the operation used in 3r?
-subtraction
-addition
-multiplication
-division
Answer:
Multiplication
Step-by-step explanation:
3r means 3 times R. We don't write it just like we don't write 1.0 for 1 or 1.000... A number in front of a variable means that number times that variable.
Hope this helps! <3
X + 35 = 5 so X + ?
Answer:
x = -30
-30 + 35 = 5
Step-by-step explanation:
PLA HURRY I WILL GIVE BRAINLIST
Answer:
last one? if not i tried
Step-by-step explanation:
5. Skylar has pool toys shaped like a sphere
with a radius of 2 inches. The toys fill with
water, and she has 12 toys total. How many
cubic inches of water would it take to fill all 12
toys with water?
ring the Middle LLC, 20
Answer:
128π or 402.12
Step-by-step explanation:
Vol of a sphere = 4/3πr³
Sub 2 into ^
Multiply by 12 to find vol of all 12 shapes
This is the volume of water needed
What is 12 * 54 plus 88 ?
Answer: 736
Step-by-step explanation: Hope that helps!!!!
Happy valentines day and have a great day!
AVALIAÇÃO DIAGNÓSTICA
Resolva os problemas abaixo
1) O quilo do feijão que custava R$ 3,90 teve um aumento de 70% Oual é o novo preço do quilo do
feijão?
2) O aluguel de uma casa teve um reajuste e passou de R$ 500,00 para R$ 925,00. Qual foi o percentual
de aumento do aluguel dessa casa
Answer:
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Write −(1/4⋅1/4⋅1/4⋅1/4) using exponents.
Answer:
-(1/4)^4
Step-by-step explanation:
Hope it helped!!!
(1.5 x 10^6) x (1.2 x 10²)
What’s the answer
Answer:
(1.5×1.2)×(10^(6+2))
(1.80×10^8)
Answer:
1.8 x 10^8 or
180000000
Step-by-step explanation:
1.5 x 1.2 = 1.8
^6 + ^ 2= 10
1.8 x 10 ^ 8
what is the measure of EGF?
Answer:
i think c
Step-by-step explanation:
Answer:
B) 40.18°
Step-by-step explanation:
since it's a right triangle and you know values for opposite and hypotenuse you can use:
sin x = 12/18.6
this comes out to be 40.18°
What is the value of so that −10and 10are both solutions of 2−=70
Answer:I think 7
Step-by-step explanation:
what is the inequality of -5x + 19 ≥ 9
Answer:
x<=2
Step-by-step explanation:
-5x+19>=9
-5x>=9-19
-5x>=-10
5x>=10
x>=10/5
x>=2
x<=2
Select the correct answer.
Which equation shows function g in factored form?
[tex]g(x)=2x^2-6x-56[/tex]
A.
g(x) = 2(x2 − 3x − 28)
B.
g(x) = 2(x − 4)(x + 7)
C.
g(x) = (2x + 7)(x − 8)
D.
g(x) = 2(x + 4)(x − 7)
Answer:
The answer is A.
[tex]g(x) = 2( {x}^{2} - 3x - 28)[/tex]
Answer:
Have a great rest of your day :)
Step-by-step explanation:
Consider the function f(x) =2x+3 Find the average rate of change from the following points x=2 and x= 6
Step-by-step explanation:
step 1. m = 2.
step 2. for a linear equation the average rate of change between any points is the slope m.
Find q. q 4 cm 30° 60° Write your answer in simplest radical form. centimeters
Please help quick will give brainliest!
Answer:
The function's behavior close to the vertical asymptote, x = 2 is;
[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]
Step-by-step explanation:
From the graph of the function. we have;
1) As 'x' approaches 2 from the left (x → 2⁻), the graph with 'u' shape located in the middle of the three graphs, approaches infinity (arrow pointing up)
2) As 'x' approaches 2 from the right (x → 2⁺), the graph with 'n' shape located at the right side of the three graphs, approaches negative infinity (-∞) (arrow pointing down)
Therefore, the function's behavior close to the vertical asymptote, x = 2 is given as follows;
[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]
the sum of 8 and B is greater than 22
Given:
The sum of 8 and B is greater than 22.
To find:
The inequality for the given statement and its solution.
Solution:
We know that, sum of two number is the addition of two numbers.
Sum of 8 and B = 8+B
It is given that, the sum of 8 and B is greater than 22.
[tex]8+B>22[/tex]
Subtracting 8 from both sides, we get
[tex]8+B-8>22-8[/tex]
[tex]B>14[/tex]
Therefore, the required inequality for the given statement is [tex]8+B>22[/tex] and the solution is [tex]B>14[/tex].
The perimeter of a rectangular field is 242 m . If the length of the field is 66 m, what is its width?
13.
Find the slope of the line.
A. -7
B. 1/7
C. -1/7
D. 7
Answer:
[tex]\displaystyle m=\frac{1}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, 2)
Point (5, 3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{3-2}{5+2}[/tex][Fraction] Subtract/Add: [tex]\displaystyle m=\frac{1}{7}[/tex]math is on the world. I need some ride until you want it owww ye brainly
Answer:
what
Step-by-step explanation:
Write the integers in order from greatest to least. 11, 9, -9, -6
Answer:
11, 9, -6, -9
Step-by-step explanation:
Hope that helps
Sorry :( if it is wrong
If we use a number line
Eg below
12 11 10 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12
Visual of what it would look like from greatest to least
Answer:
11, 9, -6, -9
Step-by-step explanation:
11 is the largest number listed and -9 is the smallest number listed and 9 and -6 are in between them and 9 is bigger than -6
(p^2 )^5
find the product
Answer:
p^10
Step-by-step explanation:
when they're set up like that you multiple thw exponents to get what the new one would be ao 5 * 2 = 10.
Answer:
[tex]{( {p}^{2} ) }^{5} = {p}^{2 \times 5} \\ = {p}^{10} [/tex]
-Question 4
Jen weighs 100 pounds, Jack weighs 120 pounds, and Billy weighs 80 pounds. What is their average weight?
Answer:
100 pounds
Step-by-step explanation:
To find their average weight, add all of their weights together then divide it by 3
(100 + 120 + 80) / 3
300 / 3
= 100
So, their average weight is 100 pounds
The space that sand fills varies directly with its mass. If 2,400 kg of sand fill 1.5 cubic meters, how much sand is needed to fill 2.25 cubic meters? PLEASE I REALLY NEED HELP!
Answer:
3,600 kg
Step-by-step explanation:
2,400÷6=400
400×3=1200
2,400+1,200= 3,600 kg
What is raw materials? With an example.