Answer:
[tex]x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}[/tex]
Step-by-step explanation:
This is a hard one
We have to use the rational root theorem
[tex]2x^3+7x^2-2x-1[/tex] = 0
We have to find all the factors of a and d and put them in a fraction
[tex]a=2\\d=-1\\\frac{1}{1,2}[/tex]
We then plug them into the equation to see if any of them work
The equation isn't true when plugging 1, but is true when plugging in 1/2
factored form of 1/2 is (2x-1)
Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get [tex]x^2+4x+1[/tex]
So now the equation is [tex](2x-1)(x^2+4x+1)[/tex]
Solve the second half of this equation using the quadratic formula to get
[tex]\sqrt{3}-2[/tex] and [tex]-\sqrt{3}-2[/tex]
We already know the solution for the first half of the equation (1/2)
So the final answers are:
[tex]x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}[/tex]
ANSWER ASAP!!!!
PLEASE INCLUDE STEP BY STEP EXPLANATION
DO A.
Answer:
57
Step-by-step explanation:
I prefer the equation in this format
[tex] \frac{3 |m - 2 {n}^{2} | }{4} [/tex]
substitute -4 for m and 6 for n
[tex] \frac{3 | - 4 - 2( {6}^{2}) | }{4} [/tex]
square the 6 then multiply by 2
[tex] \frac{3 | - 4 - 72| }{4} [/tex]
solve inside the absolute value then multiply by 3
[tex] \frac{3 | - 76| }{4} [/tex]
[tex] \frac{228}{4} [/tex]
divide by 4
[tex]57[/tex]
If UV=5x, VW = 8x - 17, and UW = 11x+11, what is UW
Answer:
UW=165
Step-by-step explanation:
UV + VW =UW
5x + 8x-17= 11x +11
13x - 17 = 11x + 11
Subtract 11x and add 17 to both sides:
2x= 28
Divide 2 both sides:
x=14
Plug in x to the equation of UW:
11 (14) +11
165
Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)
Answer:
21:00 AST
Step-by-step explanation:
10:00 uk time
Australia time is 11 hours ahead of UK time then
10:00 + 11 hours
21:00 AUSTRALIA TIME
OR 9:00 PM Australia time
An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of the congruent angles. An equation is _______ = 180. Angles congruent with each measure ________
Hey there! I"m happy to help!
The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.
We subtract 138 from both sides.
2x=42
We divide both sides by 2
x=21.
Have a wonderful day! :D
MATH
Please heeeeeeeeeeeelp
Answer:
3.002 * 10⁵
Step-by-step explanation:
3 * 10⁵ = 3 * 10³ * 10² = 3000 *10²
3 * 10⁵ + 2* 10² = 3000 * 10² + 2*10²
= (3000 + 2) * 10²
= 3002 * 10²
= 3.002 * 10³ * 10²
= 3.002 * 10⁵
What is the denominator For these problems ?
Answer:
10, 6, 6, 12, 8, 3, respectively
Step-by-step explanation:
The denominator is the bottom number in a fraction.
1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no restrictions, as all members are eligible?
Answer:
The number of ways is 6435
Step-by-step explanation:
Given
[tex]Male = 6[/tex]
[tex]Female = 5[/tex]
[tex]Students = 4[/tex]
Required
Number of ways a group of 8 can be formed
Here, I'll assume each category of people are distinct:
Hence;
[tex]Total = Male + Female + Students[/tex]
[tex]Total = 6 + 5 + 4[/tex]
[tex]Total = 15[/tex]
Number of ways is then calculated as follows:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
Where
[tex]n = 15\ and\ r = 8[/tex]
So, we have:
[tex]^{15}C_8 = \frac{15!}{(15 - 8)!8!}[/tex]
[tex]^{15}C_8 = \frac{15!}{7! * 8!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}[/tex]
[tex]^{15}C_8 = \frac{32432400}{5040}[/tex]
[tex]^{15}C_8 = 6435[/tex]
Hence, the number of ways is 6435
what is f(0) ?
12 only
2 and 3 only
-2 , -1, 1 and 2 only
-2,-1, 1, 2 and 12
plzzzz help
Answer: it's 12 only
Step-by-step explanation:
Zoo tickets for five people cost a total of $41 which equation can be to to tell me the cost see in dollars of each ticket
Answer:
41 divided by 5
$41 divided by 5 people is equal to $8.2 per person
Step-by-step explanation:
8. A pizza shop charges $7.00 for a cheese pizza and $1.50 per topping. The total charge for Megan's pizza was $11.50. Write and solve on equation to determine how many toppings Megan ordered on her pizza. Variable: Equation: Solution:
Answer:
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
Step-by-step explanation:
Let the number of topping be x.
Cost of 1 topping = $1.50
Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x
Cost of cheese pizza = $7.00
Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping
Total cost for cheese pizza for x topping = 7 + 1.5x
Given that The total charge for Megan's pizza was $11.50
thus,
7 + 1.5x = 11.50
1.5x = 11.50 - 7
1.5x = 4.5
x = 4.5/1.5 = 3
Thus, there were three toppings
______________________________________
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
A study by a group of cardiologists determined that maximal heart rate in humans, a parameter used as a basis for prescribing exercise programs, depends on age. Maximal heart rate is around 201 beats per minute for a 10-year-old, and decreases at a constant rate of 7 every 10 years. Which of the following inequalities best describes the ages, for which maximal heart rate is less than 180, a is >or equal to 10.. HELP
Answer:
208 - 0.7a < 180
Step-by-step explanation:
If the standard volume of a
cube is 1.5cm³ calculate the
cm
percentage error in measuring its
volume which is found to be 1.6cm³
A:6.7%
B:-6.7%
C:5%
D:-5%
E:4%
Answer:
6.7 %
which agrees with answer A in your list.
Step-by-step explanation:
If the standard volume is 1.5 cubic cm, and the measured volume is 1.6 cubic cm, then the difference between these two is :
1.6 - 1.5 = 0.1 cubic cm. and therefore the percentage error is given by:
0.1/1.5 = 0.066666...which corresponds to a rounding of 6.7%
Recall as well that percent error is always expressed as a positive number.
16.2=2.7(h=1) solve for h
Answer:
h = 5Step-by-step explanation:
[tex]16.2=2.7(h+1)\\\\2.7\left(h+1\right)=16.2\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\2.7\left(h+1\right)\cdot \:10=16.2\cdot \:10\\\\Refine\\27\left(h+1\right)=162\\\\\mathrm{Divide\:both\:sides\:by\:}27\\\frac{27\left(h+1\right)}{27}=\frac{162}{27}\\\\Simplify\\h+1=6\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\h+1-1=6-1\\\\Simplify\\h=5[/tex]
(Number 4)help...plzz
Find the difference of -4 -(5)
The answer is -9
-4 - 5 = -9
the answer is -4-(5)= -9
If -3x–7 =23 then 6x=?
Answer:
6x = -60
Step-by-step explanation:
-3x - 7 = 23
-3x = 30
x = -10
6(-10) = -60
I need to find the surface area of the square pyramid!
(I know I'm stupid lol)
Answer:
L = 260 cm^2
Step-by-step explanation:
height h = 12 cm
slant height s = 13 cm
side length a = 10 cm
lateral edge length e = 13.928388277184 cm
1/2 side length r = 5 cm
volume V = 400 cm^3
lateral surface area L = 260 cm^2
base surface area B = 100 cm^2
total surface area A = 360 cm^2
Genda: h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area
Find a − b when a = −7 and b = 11.
Answer:
-18
Explanation:
a - b
a = -7
b = 11
Insert -7 for 'a' and 11 for 'b'
-7 - 11
= -18
adfh9qgfW9PGFgfogfwgr0fgwpORGFOAWGRO7GTFWARF
Answer:
sgjajzbjsjshissnbsjakskdksoddj XD
Step-by-step explanation:
Jacob makes $3600 a month, he spends 40% of his income on his mortgage. How much money does he spends? A. $400 B. $1440 C. $440 D. $820
Answer:
the answer is b- 1440
Step-by-step explanation:
hope this helps
Answer:
b
Step-by-step explanation:
x+x/7+1/11(x+x/7)=60
Answer:
5 yes or good i'm not good morning guys
Answer:x= 48.126
Step-by-step explanation:
m angle PQS= 3x; m angle SQR=5x-20
Find x
Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.
Given:
Ray QS bisects ∠PQR.
m∠PQS = 3x
m∠SQR = 5x-20
To find:
The value of x and m∠PQR
Solution:
Ray QS bisects ∠PQR. So,
[tex]m\angle PQS=m\angle SQR[/tex]
[tex]3x=5x-20[/tex]
[tex]3x-5x=-20[/tex]
[tex]-2x=-20[/tex]
[tex]x=10[/tex]
The value of x is 10.
Now,
[tex]m\angle PQR=m\angle PQS+m\angle SQR[/tex]
[tex]m\angle PQR=3x+5x-20[/tex]
[tex]m\angle PQR=8x-20[/tex]
Put x=10,
[tex]m\angle PQR=8(10)-20[/tex]
[tex]m\angle PQR=80-20[/tex]
[tex]m\angle PQR=60[/tex]
Therefore, the m∠PQR is 60 degrees.
Name the property for the given statement 2(10 + 15) = 2(10) + 2(15)
Find value of X. write answer in simplest form
Answer:
The answer is X
Step-by-step explanation:
HELP PLEASE
If y varies directly with x and y = 26 when x = 8, write the equation that represents this direct variation relationship
Oy - 4x + 13
Oy=13x +4
Answer: y= 13 over 4x
Step-by-step explanation: trust me king
Three sixth-grade students competed in the 100-meter dash. The table shows their times.
Which list shows the times in order from least to greatest?
Student
Time (seconds)
13.1
Tiana
James
13.2
Dakota
12.9
A. 13.2, 13.1, 12.9
B. 12.9, 13.2, 13.1
O
C. 12.9, 13.1, 13.2
O
D. 13.1, 13.2, 12.9
Answer:
It is 12.9, 13.1, 13.2 C.
Step-by-step explanation:
List C shows the times in order from least to greatest i.e. 12.9, 13.1, 13.2.
What is the number?
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, three sixth-grade students competed in the 100-meter dash time taken by Tiana, James and Dakota will be 13.1, 13.2 and 12.9
The numbers are written in an ordered list according to their values when they are arranged from least to greatest.
The smallest number should be written on the left, followed immediately by the next smallest number. Numbers should be ordered from lowest (first) to highest (last). It is known as "Ascending Order."
The numbers are arranged as 12.9< 13.1 < 13.2
Thus, list C shows the times in order from least to greatest i.e. 12.9, 13.1, 13.2.
Learn more about the number here:
brainly.com/question/17429689
#SPJ2
is -4 greater or lesser than 0
Answer:
-4 is lesser than 0
Step-by-step explanation:
need help asap please and thanks!
Answer:
3 to 1
Step-by-step explanation:
Because the 6 is the bigger number but is also on the left which means the number on the right has to divide into the six therefore 3 to 1
bsolute Value is the distance from
ero - whether to the right or left on a
umber line - it's the SAME distance
nd DISTANCE is always ....
Positive or negative
Answer:
The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..
Step-by-step explanation:
Negative
I hope this helps :)
Help with writing the set from an interval notation.
Answer:
(-oo, 1) U (1, 3) U (3, oo)
Step-by-step explanation:
We have a line with two arrowheads. The arrow heads show us that the numbers in the set continue forever in the negative direction past -5 and in the positive direction past 5. In this case, the set consists of all real numbers except 1 and 3 since they have open circles.
That means the set is from negative infinity to 1, from 1 to 3, from 3 to positive infinity, but leaving out 1 and 3.
Remember that a regular parentheses symbols, ( and ), do not include the number near them and are used for open circles.
Square brackets, [ and ], do include the number near them and are used for closed circles.
Also, infinity and negative infinity are not numbers, so we always use regular parentheses when dealing with infinity or negative infinity.
We need the union of three sets:
from negative infinity to 1, from 1 to 3, from 3 to positive infinity
Answer: (-oo, 1) U (1, 3) U (3, oo)