Answer:
[tex]\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}[/tex]
Step-by-step explanation:
[tex]\sf x^2-x+2=0[/tex]
Use quadratic formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\sf a=1, b=-1, c=2[/tex]
___________________________
[tex]\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}[/tex]
[tex]\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}[/tex][tex]\sf =\sqrt{-7}[/tex]_________________
[tex]\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}[/tex]
[tex]\sf -(-1)=1[/tex][tex]2\times 1=2[/tex][tex]\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}[/tex]
_______________________________________
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the sum of three numbers is 182, the second is 6 times bigger than the first and the third is 14 times bigger than the second number, what are those numbers?
Answer:
The numbers are [tex]2,12,168[/tex]
Step-by-step explanation:
Let the numbers be [tex]a,b,c[/tex]
We have
The sum of three numbers is [tex]182[/tex]
[tex]a+b+c=182-----eqn1[/tex]
The second is [tex]6[/tex] times bigger than the first
[tex]b=6a-----eqn2[/tex]
The third is [tex]14[/tex] times bigger than the second number
[tex]c=14b-------eqn3[/tex]
Substituting in eqn 3
[tex]c=14\times 6a=84a ----eqn4[/tex]
Substituting in eqn 1
[tex]a+6a+84a=182\\\\91a=182\\\\a=2[/tex]
Substituting in eqn 2
[tex]b=6\times2=12[/tex]
Substituting in eqn 3
[tex]c=14\times12=168[/tex]
The numbers are [tex]2,12,168[/tex]
The first number is a , the second number is b , the third number is c
( 0 < a < b < c )
The sum of three numbers is 182
⇒ a + b + c = 182 (1)
The second is 6 times bigger than the first
⇒ b = 6a (2)
The third is 14 times bigger than the second number
⇒ c = 14b = 14.6a = 84a (3)
(1),(2),(3): ⇒ a + 6a + 84a = 182
⇒ 91a = 182
⇒ a = 2
⇒ b = 6a = 6.2 = 12
⇒ c = 14b = 14.12 = 168
Those numbers are 2 , 12 , 168
ok done. Thank to me :>
URGENT WILL MARK BRAINLIEST 1. Suppose Q is the midpoint of PR. Use the information to find the
missing value.
PQ = 32 + 10 and QR = 2 + 14
Find PR.
A. 32
B. 16
C. 4
D. 2
Answer:
A.32
Step-by-step explanation:
HELP ASAP 10 POINTS
Which coordinates are the best estimate of the solution to the system of equations?
Hint: Which coordinate is closest to where the lines meet?
Question 4 options:
(6,0)
(0,5)
(1,4)
(1,5)
Answer:
(1,4)
Step-by-step explanation:
It was either (1,3) or (1,4) but there was no (1,3) so (1,4).
Hopes This Helps :)
28 less than twice a number is equal to 6 . Find the number.
Answer:
x = 17
Hope you could get an idea from here.
Doubt clarification - use comment section.
if ab =8 and a square + bsquare =35 then (a-b) cube
[tex]\text{Given that,}\\\\ab = 8 ~ \text{and}~ a^2 +b^2 = 35\\\\\text{Now,}\\\\(a-b)^2 = a^2 +b^2 -2ab\\\\\implies (a-b)^2 =35 - 2 (8) \\\\\implies (a-b)^2 = 19\\\\\implies a-b = \pm\sqrt{19}\\\\\text{Case 1:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = 19 \left(\sqrt{19}\right)\\\\\text{Case 2:}\\\\(a-b)^3 = (a-b)^2(a-b)\\\\\implies (a-b)^3 = -19 \left(\sqrt{19}\right)[/tex]
In a school election, 3/4 of the students vote. There are 1484 votes. Find the number of students.
There are a total of
students.
Answer: 1979 students.
Step-by-step explanation:
We are told that 3/4 (75% or 0.75) of total students voted, which amounted to 1484 votes.
Letting X be the total number of students, we can write that as:
(0.75)X = 1484
X = 1978.67 total students
Now I know one classmate who wasn't all there, but I suspect even he isn't counted as 0.67 of a student. So round to the nearest whole number, 1979 students.
Calculate the volume of cylinders with the following dimensions ( 22/7).
(b) Diameter of the base = 84 cm, height = 1.5 m
Step-by-step explanation:
Volume of a cylinder=
[tex]\pi \: {r}^{2} h[/tex]
Radius=84÷2=42
Volume=22/7×42²×150=831 600 cm³
2b-3(1+b)=-3(b+7) help
Hence, 'b = -9' is the answer.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Determine the slope of the line that passes through the points (-8,-4) and (0, -1).
Answer:
3/8
Step-by-step explanation:
(-1-(-4))/(0-(-8))
=3/8
2(t+1)=10
t= ? ............................................
Answer:
4
Step-by-step explanation:
2x5=10
5-1=4
2(4+1)=10
By which angle measures can the regular pentagon be rotated so it maps onto itself?
Select each correct answer.
72°
90°
135°
144°
216°
300°
Answer:
hi there the answer is 72
Step-by-step explanation:
sorry but my work is on a piece of paper in front of me
To map the regular pentagon onto itself, rotate it at angles of 72, 144, 216, and 288 degrees.
What is a regular polygon?A polygon is a geometric form with a limited number of sides that exists in two dimensions. On the sides or edges of polygons, single-direction segments are joined end to end to form a closed shape. Vertices or corners are the points at which two line segments converge to form an angle.
It is given that:
There are five sides to the pentagon.
We are known that the typical pentagon has five vertices and interior angles of 72 degrees each. Rotational symmetry is also present in a regular pentagon.
Angles are 72°,144°,216°, and 288°
Thus, to map the regular pentagon onto itself, rotate it at angles of 72, 144, 216, and 288 degrees.
Learn more about the regular polygon here:
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When you multiply a number by 25, subtract the result from 2000, and divide everything by 5, you will get 150. What is the initial number?
Answer:
110
Step-by-step explanation:
150*5=750
750+2000=2750
2750/25=110
Answer:
The number is 110
Explanation:
To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110
Step by step:
150×5= 750
=> 750+2000= 2750
2750÷25= 110
If you earned $1000 interest on a loan of $5200 at a yearly interest rate of 2.5%, how many years was the loan for? (Round to the nearest tenth)
Answer:
170 years
Step-by-step explanation:
R/100=2.5%
time= 100=0.025 per year (1/0.025) (5200\1000)-1=168
time=168 years
Answer: 7.7 years
Step-by-step explanation:
Total amount = Principle + Interest = 5200 + 1000 = 6200
A = P(1 + rt)
6200= 5200[1+(0.025)(t)]
6200=5200+130t
-130t=5200-6200
-130t=-1000
t=100/13
t= 7.7 years
Andrew spent $80 on travel last month.
Work out the amount Andrew spent on household bills last month.
Will give brainliest
A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 hirt. Complete the table of values for this situation.
Answer:
thanks
Step-by-step explanation:
Answer:1- $52 {40+12(1)=}
5- $100 {40+12(5)=}
10 - $160 {40+12(10)=}
50 - $640 {40+12(50)=}
if y is directly proportional with x and y=180 when x=15,what is the value of x when y=276
Answer:
23
Step-by-step explanation:
180/15 = 276/x
12 = 276/x
12x = 276
x = 23
What is an equation of the line that passes through the points (6, 2)( and (−6,−8)
Noah borrowed $0.80 from his friend John five days last week to buy chips. how much does Noah owe John?
Answer:
$0.80
Step-by-step explanation:
Answer:
So Noah owes John $4.00
Step-by-step explanation:
Since Noah borrowed 80 cents from John for 5 days, you'd simply multiply 0.80 (remember to include the decimal) by 5, and you'd get 4.
Hope this helps you :)
A tree is broken at a height of 9m from the ground and its top touches the ground at distance of 12m from the base of the tree. Find the original height of the tree.
Answer: i took the test its number 555555
Step-by-step explanation:
if x+y=10 and x-y =6 what is the answer of x cube - y cube fast
Answer:
x+y=10 which means that x=10-y
Replace 10-y in the other equation which gives you:
10-y-y=6
10-2y=6
-2y=-4
y=2
Replace 2 in any of the 2 equations same answer for both:
x+y=10
x+2=10
x=8
So,
[tex] {x}^{3} - y^{3} [/tex]
[tex] = {8}^{3} - {2}^{3} [/tex]
=512-8
=504
Hope this helps!
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan? a. Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks. b. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks. c. Chuy will save more than he needs and will meet his goal in less than 27 weeks. d. There is not enough information given to make a conclusion about Chuy's plan. Please select the best answer from the choices provided A B C D
Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.
Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.
440/8 = $55.
This means $55 is the amount of money Chuy saves every week.
Multiply $55 by the number of weeks Chuy plans to save money, 27.
55 x 27 = 1,485.
Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.
Write a function in any form that would match the graph shown below.
Answer:
(x-6)(x+5)^2 - 50
The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]
where k is a constant.
What is a function?
A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
One example of a function that has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity is:
[tex]f(x) = k / (x^2 - 25)[/tex]
where k is a constant that ensures the function continues to negative infinity and positive infinity.
To find the value of k, we can use one of the intercepts, say (5, 0):
0 = k / (5² - 25)
0 = k / 0
This tells us that k can take any value, as long as the denominator is not zero. So, we can choose any non-zero value for k.
For example, let's choose k = 1:
[tex]f(x) = 1 / (x^2 - 25)[/tex]
This function has intercepts on (5, 0) and (-5, 0) and continues to negative infinity and positive infinity.
Thus,
The function that would match the graph shown below is [tex]f(x) = k / (x^2 - 25)[/tex]
where k is a constant.
Learn more about functions here:
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What is the value of z?
Isabella made two types of cakes: chocolate and vanilla. She cut all of the
chocolate cakes into 7 slices each and all of the vanilla cakes into 9 slices
each. If Isabella ended up with the same total number of slices of each type
of cake, what is the minimum number of slices of each type?
Answer:
To get the same total number of slices of each type of cake, the answer must be the LCM (lowest common multiple) of 7 and 9.
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70...
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90...
As you can see so far, 63 is the lowest common multiple of both 7 and 9.
Thus, the answer is 63
Answer: 63 ( but give the person above me brainliest because they explained it better )
Step-by-step explanation:
If the cakes have the same amount of slices then we must find the lowest common multiple which is 63
So both cakes have 63 slices
∣ x + 1 − x 2 ∣ = 2 ( 2 x 2 − 1 )=
Answer:
X = 7
Step-by-step explanation:
∣ x + 1 − x 2 ∣ = 6
∣ -x + 1 ∣ = 6
-7 + 1 = -6
Absolute value of -6 is 6
x = 7
The value of x for the expression is equal to 7.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The value of x is solved as,
∣ x + 1 − x 2 ∣ = 6
∣ -x + 1 ∣ = 6
-7 + 1 = -6
The absolute value of -6 is 6
x = 7
Therefore, the value of x for the expression is equal to 7.
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Plz do this for me plz and thx will give Brainly
What is an equivalent expression to 7x - 3y + 8x ?
Pls look at the image that I uploaded
Answer:
15x - 3y
Explaination:
Adding 7x and 8x will give you 15x and the -3y doesn't need to be added up.
I hope this helps you.
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 40
pizzas in all, 40% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?
Answer
16 mushroom pizzas
There are 65 seats on a train. 39 of the seats are empty. What percentage of the seats on the train are empty?
Answer: 60%
Step-by-step explanation:
39/65 = 3/5 = 60%
Answer:
60%
Step-by-step explanation:
65 seats in total = 100%
divide by 65 on both sides to get 1 seat
1 seat=1.54
times by 39
39 seats=60%
Why are the two houses of Congress a compromise? How did this address the concerns of both groups?
Answer:
To balance the interests of both the small and large states, the Framers of the Constitution divided the power of Congress between the two houses. Every state has an equal voice in the Senate, while representation in the House of Representatives is based on the size of each state's population.
Step-by-step explanation: