Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
The distance around a circular running track is 200m. Calculate the radius of the track, giving your answer to the nearest metre.
Answer:
The radius of the track is 32 meters
Step-by-step explanation:
Circumference
The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.
Given a circle of radius r, the circumference of the circle can be calculated as follows:
[tex]L=2\pi r[/tex]
If we already know the length of the circle, we can solve the above expression for r:
[tex]\displaystyle r=\frac{L}{2\pi}[/tex]
The distance given around a circular running track is L=200 m, thus:
[tex]\displaystyle r=\frac{200}{2\pi}=31.830989\ m[/tex]
Rounding to the nearest meter:
r= 32 meters
The radius of the track is 32 meters
Fill in each box with the correct numb
5(X+9)=5. +5.
Answer:
so
box1 = x
box2= 9
Step-by-step explanation:
5(x+9)
distribute
5(x) + 5(9)
5x + 45
what’s the quotient of -21/-3?
Answer:
7
Step-by-step explanation:
When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.
ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!!!!!!
Answer:
D. Whole Numbers
Whole numbers only contain 0 on, with no negatives, fractions, or decimals.
Please mark me Brainliest, I need it to move onto the next level.
ILL GIVE BRAINLIST! this is about Determining a scale factor!! the last answer that couldn't fit in the picture is 9| 12_
Answer:
The first one (4cm for height and 3cm for base)
Step-by-step explanation:
the original height is 16cm and base is 12cm
if you multiply them both by 1/4 or 0.25 you get 4 and 3
(16*0.25=4 and 12*0.25=3)
Another way you could do it is to divide 16 and 12 by four and you still get 4 and 3
(16/4=4 and 12/4=3)
Answer:
Is A.
Step-by-step explanation:
The sides of the triangle include numbers 4 and 3 in option A. Mathematically in scale factor form, 16 cm 12 cm divide or multiply evenly into the scale factor of 1/4.
................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Answer:
1.)47.022
2.)8.032
3.)2.436
4.)61.92
Step-by-step explanation:
The Newton city park has 11 basketball courts which are all in use. There are 54 people playing basketball some are playing one on one and some are playing in teams. A one on one game requires two players and a team game requires 10 players. Write a system of equations that represents the number of one on one and team games being played
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of basket ball courts = 11
Total number of people playing basketball = 54
Number of players required for one on one game = 2
Number of players required for team game = 10
Inequality to represent number of one on one and team Games being played :
Let one on one games = a
Team games = b
Number of players required for each game * number of games
2a + 10b = 54 - - - (1)
a + b = 11 - - - (2)
a = 11 - b
2(11 - b) + 10b = 54
22 - 2b + 10b = 54
8b = 32
b = 4
a = 11 - b
a = 11 - 4
a = 7
Number of one on one games = 7
Number of Team games = 4
pleaseeeeeeeeeeeeeeeee solve this
Answer:
360 degrees
Step-by-step explanation:
We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as the exterior angles of the given triangles, their sum will be 360 degrees as well.
(3 + zi) (3 + 4i) - (3 + zi) (3 - 2i)
Express in simplest a+bi form
Answer:
Step-by-step explanation:
9+12i+3zi+4zi²-(9-6i+3zi-2zi²)
= 9+12i+3zi+4zi²-9+6i-3zi+2zi²
= 18i+6zi²
= i(18+6zi) or 6i(3+zi)
i hope this is the anwer you're looking for
Chen rode his skateboard 334 miles in 34 of an hour.
What was his average speed in miles per hour?
_[blank]_ miles per hour
An equation is blank =540
2. La suma de los cuadrados de dos números reales pares consecutivos es 52
Encuentra los números
Answer: ±4 y ±6
Step-by-step explanation:
Algunas definiciones:
Sea N un numero real.
El cuadrado de un numero es:
N^2.
Ahora, nos dicen que N es par, entonces podemos escribir:
N = 2*n
donde n es un numero entero.
Y el par consecutivo a N, va a ser M = N + 2.
M = 2*n + 2.
Entonces:
"La suma de los cuadrados de dos números reales pares consecutivos es 52"
(2n)^2 + (2n + 2)^2 = 52
Tenemos que resolver esto para n.
4n^2 + 4n^2 + 8n + 4 = 52
Entonces tenemos una ecuación cuadrática:
8*n^2 + 8n + 4 - 52 = 0
8*n^2 + 8n - 48 = 0
Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:
(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.
Ahora resolvamos esto para n, las dos soluciones son
[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]
Entonces las dos soluciones son:
n = (-1 - 5)/2 = -3
n = (-1 + 5)/2 = 2
Entonces, si tomamos la primer solucion, los numeros consecutivos son:
N = 2*-3 = -6
M = N + 2 = -4
Si tomamos la segunda solucion, n = 2.
N = 2*2 = 4.
M = N + 2 = 6.
Entonces podemos concluir que las soluciones son:
±4 y ±6
Damien deposited $250 in an account that earned 3.75% interest compounded annually.He did not make additional withdraws or deposits .what will the balance in his account be at the end of 4 years?
Step-by-step explanation:
[tex] \frac{3.75}{100} \times 250 =9.375[/tex]
[tex]9.375 \times 4 = 37.50[/tex]
[tex]250 + 37.50 = 287.50[/tex]
I think this is the answer
Megan is buying 168 balloons for a large party. At Jamie's Party Store, balloons are sold in packs of 12 and packs of 36. Costs for each pack are shown. 36 $11.88 12 $5.16 How many packs of 12 and 36 balloons should Megan buy from Jamie's Party Store to spend the least amount of money? Megan should buy packs of 36 balloons, and packs of 12 balloons.
Answer:
$57.84
Step-by-step explanation:
Balloons needed = 168
Cost of 36 balloons per pack = $11.88
Cost of 12 balloons per pack = $5.16
cost per balloon
36 per pack = $11.88 / 36
= $0.33
12 per pack = $5.16 / 12
= $0.43
In order to minimize cost, she should buy as many packs of 36 per pack balloon
36 per pack × 1 pack = 36
36 per pack × 2 packs = 72
36 per pack × 3 packs = 108
36 per pack × 4 packs = 144
36 per pack × 5 packs = 180
The required number of balloons is 168
So, the number of possible 36 packs to buy is 4, that is, 144 balloons
Balloons remaining = 168 - 144
= 24
Possible packs of 12 balloons per pack possible is
12 per pack × 1 pack = 12
12 per pack × 2 packs = 24
Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack
Cost of 4 packs of 36 balloons per pack = 4 × $11.88
= $47.52
Cost of 2 packs of 12 balloons per pack = 2 × $5.16
= $10.32
Total cost = $47.52 + $10.32
= $57.84
What's the answer ?
A. B. C. Or D?
Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
HELP PLEASE
Given the exponential function f(x) = 16(0.75)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.
Exponential growth, 75% increase
Exponential decay, 75% decrease
Exponential growth, 25% increase
Exponential decay, 25% decrease
Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.
Answer:
[tex]\boxed {x = -\frac{1}{7}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]6(4x + 5) = 3(x + 8) + 3[/tex]
-Use Distributive Property:
[tex]6(4x + 5) = 3(x + 8) + 3[/tex]
[tex]24x + 30 = 3x + 24 + 3[/tex]
-Combine like terms:
[tex]24x + 30 = 3x + 24 + 3[/tex]
[tex]24x + 30 = 3x + 27[/tex]
-Take [tex]3x[/tex] and subtract it from [tex]24x[/tex]:
[tex]24x + 30 -3x = 3x - 3x + 27[/tex]
[tex]21x + 30 = 27[/tex]
-Subtract both sides by [tex]30[/tex]:
[tex]21x + 30 - 30 = 27 - 30[/tex]
[tex]21x = -3[/tex]
-Divide both sides by [tex]21[/tex]:
[tex]\frac{21x}{21} = \frac{-3}{21}[/tex]
[tex]x = \frac{-3}{21}[/tex]
-Reduce the fraction to the lowest term by extracting and canceling out [tex]3[/tex]:
[tex]x = \frac{-3\div3}{21 \div 3}[/tex]
[tex]\boxed {x = -\frac{1}{7}}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-\frac{1}{7}[/tex].
The length of a rectangular sandbox is
6
feet less than
3
times the width. The perimeter of the sandbox is
36
feet.
Which statement is true?
The equation
(
3
w
−
6
)
+
w
=
36
can be used to find the width of the rectangle, and the width is
6
feet.
The equation ( 3 w − 6 ) + w = 36 can be used to find the width of the rectangle, and the width is 6 feet.
The equation
(
3
w
−
6
)
+
w
=
36
can be used to find the width of the rectangle, and the width is
12
feet.
The equation ( 3 w − 6 ) + w = 36 can be used to find the width of the rectangle, and the width is 12 feet.
The equation
2
(
3
w
−
6
)
+
2
w
=
36
can be used to find the width of the rectangle, and the width is
6
feet.
The equation 2 ( 3 w − 6 ) + 2 w = 36 can be used to find the width of the rectangle, and the width is 6 feet.
The equation
2
(
3
w
−
6
)
+
2
w
=
36
can be used to find the width of the rectangle, and the width is
12
feet.
Answer:
so the correct statement is;
The equation 2 ( 3 w − 6 ) + 2 w = 36 can be used to find the width of the rectangle, and the width is 6 feet
Step-by-step explanation:
Here, we want to select the statement which is true
Let the width be w
the length is 6 ft less than 3 times the width
The length will be (3w - 6) ft
Mathematically, the perimeter of a rectangle can be calculated using the formula;
2( l + b) = P
Thus;
2(3w -6 + w) = 36
divide both sides by 2
3w -6 + w = 36/2
3w -6 + w = 18
4w -6 = 18
4w = 18 + 6
4w = 24
w = 24/4
w = 6
I need help what is -0.5 _ -0.2
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
What is the difference between slope and average rate of change ?
A cube with 4 faces has a length of 4.5cm.find the total surface area
Answer:
81 cm square
Step-by-step explanation:
the answer is 121.5cm^2
I NEED HELP PLEASE HELP IF YOU CAN ASAP
Answer:
C. None of these
Step-by-step explanation:
Company XYZ has 97 employees. 31 Of the employees are vegetarian, 36 of the employees owns a Nissan Leaf and 6 of the employees are vegetarian and own a Nissan Leaf. If you randomly select an employee from company XYZ, what is the probability that the employee is vegetarian or that she/he owns a Nissan Leaf?
Answer: [tex]\dfrac{61}{97}[/tex]
Step-by-step explanation:
Let V = Event of selecting vegetarian employee
N = Event of selecting employee who owns a Nissan Leaf.
Given: Total employees = 97
n(V) = 31
n(N) = 36
n(N and V) = 6
By formula,
n(N or V) = n(V) + n(V) - n(N and V)
= 31+36-6
=61
By probability formula,
[tex]P(N \ or \ V)=\dfrac{n(N\ or\ V)}{Total }\\\\=\dfrac{61}{97}[/tex]
Hence, the probability that the employee is vegetarian or that she/he owns a Nissan Leaf = [tex]\dfrac{61}{97}[/tex]
Please HELP! will give brainliest
================================================
Explanation:
FGH is similar to EDC
Note the order of the letters. The order is important since it tells us how the letters pair up.
F and E are the first letters, so F and E pair up. This means F = E.G and D are the second letters, meaning that G = DH and C are the third letters showing that H = C.The diagram shows G = 71. Since G = D, we know that D = 71 as well. You can use the substitution property or the transitive property (both are effectively the same).
----------
Side note: The angles G and D are the top most angles in the diagram, so this is a visual way to see how they pair up. Keep in mind that the diagram won't always be helpful because it may not be drawn to scale or something may be rotated to trick you. It's best to use the letter pairing method in the previous section above.
John is three times as old as mikayla. The product of there ages is 108. Find there ages.
Pleasseeeee help I rlly need it like now
Answer:
John: 18 years old
Mikayla: 6 years old
Step-by-step explanation:
Please see the attached picture for the full solution.
can somebody help please
Answer:
(x^3y)/2
Step-by-step explanation:
In 2001, Takeru Kobayashi set a world record for the consuming the most hot dogs in 12 minutes. He ate 12 hot dogs in the first three minutes. Approximately, how many hot dogs did he eat during the 12 minute contest?
Answer: 48
Step 1: Find how much 12 is of 48.
12 = 1/4 of 48
Step 2: Multiply 12 by 3 for 3/4.
12 x 3 = 36.
Step 3: Add the numbers.
12 + 36 = 48
Answer = 48
Approximately, 48 hot dogs did he eat during the 12-minute contest.
What is simplification?One strategy to promote uniformity in work efforts, costs, and time is to simplify procedures. It lessens diversity and variation that is damaging, unnecessary, or meaningless. PEMDAS stands for parenthesis, exponents, multiplication, division, addition, and subtraction. Given two or more operations in a single statement, the order of the letters in PEMDAS tells you what to compute first, second, third, and so on, until the computation is complete.
As a result, Takeru Kobayashi broke the record for eating the hottest dogs in a 12-minute period.
Since,
In the first three minutes, he consumed 12 hot dogs.
in three minutes, he ate = 12 hot dogs
in 1 minute, he ate = 12/3
in 1 minute, he ate = 4
So,
in 12 minutes, the total number of hot dogs he ate = 4*12
in 12 minutes, the total number of hot dogs he ate = was 48
therefore, Approximately, 48 hot dogs did he eat during the 12-minute contest.
Learn more about Simplification here:
https://brainly.com/question/28996879
#SPJ6
7. 2y + 13.2 =78
у =
Step-by-step explanation:
I hope it will help you here's the answer
Solve for n.
4/7 x n = 14
Answer:
[tex]n = \frac{49}{2x}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]
[tex]\frac{4xn}{7}[/tex] = 14
2) Multiply both sides by 7.
4xn = 14 × 7
3) Simplify 14 × 7 to 98.
4xn=98
4) Divide both sides by 4.
[tex]xn = \frac{98}{4}[/tex]
5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]
[tex]xn = \frac{49 }{2}[/tex]
6) Divide both sides by x.
[tex]n = \frac{49}{2} / x[/tex]
7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]
[tex]n = \frac{49}{2x}[/tex]