The equation (x+56)1/2^=x has an extraneous solution.
True or false
Answers
9514 1404 393
Answer:
True
Step-by-step explanation:
We assume your equation is intended to be ...
[tex]\sqrt{x+56} =x[/tex]
The usual method of solution squares both sides, then solves the resulting quadratic.
[tex]x+56=x^2\\\\x^2-x-56=0\\\\(x-8)(x+7)=0\longrightarrow x=\{-7,+8\}[/tex]
Considering the initial problem, we require x ≥ 0, so the x=-7 solution is extraneous.
__
A graphical solution shows there is only one value of x that satisfies the equation. The other "solution" arises from considering the negative square root. It is introduced when the equation is squared.
Related Questions
HELP !!
In a sequence of numbers, a4=9, a5=15, a6=21, a7=27, and a8=33.
Which recursive rule can be used to find the nth term of the sequence, an?
a1=−9; an=an−1+6
a1=−9; an=6an−1
a1=9; an=an−1+6
a1=9; an=6an−1
Answers
Answer:
Given sequence:
a₄=9, a₅=15, a₆=21, a₇=27, and a₈=33Common difference is:
33-27 = 27 - 21 = 21 - 15 = 15 - 9 = 6Find the first term:
a₃ = 9 - 6 = 3a₂ = 3 - 6 = - 3a₁ = -3 - 6 = -9Recursive formula:
a₁ = -9 and aₙ = aₙ₋₁ + 6Correct choice is A
Which is NOT true?
A 11 = 11
B 11 = 18 - 7
C 11 + 5 = 15 + 11
D 11 + 3 = 6 + 8
Answers
Answer:
C
Step-by-step explanation:
11+5=15
15+11=26
15 does not equal 26
Answer:C 11 + 5 = 15 + 11
Step-by-step explanation:
This is the only one that is false because the left side of the equation is equal to 16 and the right side of the equation is equal to 26
Angle C and angle D are complementary. The measure of angle C is (2x)° and the measure of angle D is (3x)°. Determine the value of x and the measure of the two angles.
The two angles are
C= 36
D= 54
So what is variable x?
Answers
Step-by-step explanation:
C+D=90
2x+3x=90
5x=90
X=90:5=18
*
1. Find the value of the discriminant.
3x2 - 6x + 3 = 0
O 29
0 -18
OO
O 23
Answers
0 -18 is the answer to your question
A sphere has a radius of 9 feet. A second sphere has a radius of 6 feet. What is the difference of the volumes of the spheres? The volume of the larger sphere is π cubic feet greater than the volume of the smaller sphere.
Answers
Answer:
684 π
Step-by-step explanation:
volume of a sphere = (4/3) x (n) x (r^3)
n = 22/7
r = radius
volume of larger sphere
4/3 x n x 9³ = 972 n
4/3 x n x 6³ =288n
972n - 288n = 684n
What is the perimeter
___ miles
Answers
I think the anwser for this is 60 in miles
Answer:
23
Step-by-step explanation:
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below.
Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Answers
Answer: 1.
Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2.
The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3.
With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4.
With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
Step-by-step explanation:
not sure what the answer is
Answers
Given:
Base dimensions of a rectangular prism = 15 cm × x cm
The height of the prism = 8 cm
Volume of the prism = 600 cm.
To find:
The value of x.
Solution:
Base area of the prism is:
[tex]B=length\times width[/tex]
[tex]B=15\times x[/tex]
[tex]B=15x[/tex]
Volume of the prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting [tex]V=600,B=15x,h=8[/tex], we get
[tex]600=15x\times 8[/tex]
[tex]600=(8)(15)x[/tex]
[tex]\dfrac{600}{(8)(15)}=x[/tex]
Therefore, the correct option is C.
I'll give you the brainliest
Answers
Answer:
>
Step-by-step explanation:
sqrt{17} > sqrt{11}
Answer: >
Step-by-step explanation: the square root of 17 is going to be larger than the square root of 11. since you add 3 to both equations, that is all you have to worry about.
Find the measurements of DBC
Answers
Answer:
72 degrees
Step-by-step explanation:
To determine the value of DBC, we first have to determine the value of q
Angle on a straight line = 180 degrees
7q - 46 + 3q + 6 = 180
10q - 40 = 180
collect like terms
10q = 180 + 40
10q = 220
q = 22
Substitute for q in angle dbc
3(22) + 6 = 72 degrees
what is 25/x 15/30 can you please help
Answers
Answer:
x = 50.... 25/50 = 15/30 or 1/2 = 1/2
Step-by-step explanation:
25/x = 15/30
consider the cross multiply
25 * 30 = 15 * x
750 = 15x
divide both sides with 15 to make the co-efficient of x, 1.
x = 50
Answer:
5×15/6
5×5/2
25/2
12.2 is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
One hundred tickets, numbered 1, 2, 3, …, 100, are sold to 100 people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if a) the person holding ticket 47 wins one of the prizes? b) the people holding tickets 19 and 47 both win prizes?
Answers
Solution :
It is given that four different prizes were awarded. So,
a). 4 ways for person 47 to win a prize
99 ways to give out the 2nd prize
98 ways to give the 3rd prize
97 ways to give the last prize
∴ P(99,3) = 99 x 98 x 97
b). 1 way to give person 47 their prize
1 way to give person 19 their prize
98 ways to give out the 3rd prize
97 ways to give out the last prize
So, P(98,2) = 98 x 97
What is the value of x?
Answers
Answer:
106
Step-by-step explanation:
reflection
I need some help with this, just like Rocky, ASAP!
Answers
Answer:
12 possible roots
Step-by-step explanation:
we can use the rational zeros theorem which says that in order to find the possible roots for a polynomial we need to divide the factors of the constant by the factors of the coefficient of the leading term
which in this case is:
±(1, 2, 3, 4, 6, 12)/(1)
±1, 2, 3, 4, 6, 12
so we have 12 possible roots
help pls and tyyy:)))
Answers
F(1)= 3(1)-2
3-2= 1
Answer: f(1)= 1
Solve X
[tex] {16}^{ \frac{1}{5} } \times {2}^{x} = {8}^{ \frac{3}{4} } [/tex]
I got X= 9/10
am I right?
Answers
16^1/5 = 2^4/5 .. & .. 8^3/4 = 2^9/4
____________
2^4/5 × 2^x = 2^9/4
2^16/20 × 2^x = 2^45/20
2^[ ( 16/20 ) + x ] = 2^45/20
16/20 + x = 45/20
x = 45/20 - 16/20
x = 29/20
Can I get help with this please I am so stuck in here
Answers
Answer:
the correct answer is d
hope it help
The revenue from a company’s factory in Scranton, PA is given by 2n2-15n+23, where n represents the number of paper goods produced in the factory. The cost in dollars of producing paper goods is given by n2+3n+23. Write and simplify a polynomial expression for the profit from making and selling n paper goods.
Answers
Answer:
The polynomial expression for the profit from making and selling 'n' paper goods, is;
n × (n - 18)
Step-by-step explanation:
The revenue, 'R', and the cost, 'C', from the company's Scranton, PA factory are as follows;
R = 2·n² - 15·n + 23
C = n² + 3·n + 23
The profit, 'P', is the revenue, 'R', in excess of the cost, 'C', therefore;
The profit, P = R - C
By substituting the polynomials representing 'R', and 'C', we have;
P = 2·n² - 15·n + 23 - (n² + 3·n + 23)
∴ P = 2·n² - n² - 15·n - 3·n + 23 - 23
P = n² - 18·n = n·(n - 18)
P = n·(n - 18)
The polynomial expression for the profit from making and selling 'n' paper goods, is P = n·(n - 18).
A small company has a fleet of 3 pickup trucks and 4 delivery vans. A larger company has the same ratio of pickup trucks to delivery vans. If the larger company has 45 pickup trucks, how many delivery vans does it have?
Answers
Answer:
60 delivery vans
Step-by-step explanation:
Smaller company:
Pickup truck : delivery van = 3 : 4
If the larger company has 45 pickup trucks
Let x = number of delivery vans
Larger company:
Pickup truck : delivery van = 45 : x
Equate both ratios
3 : 4 = 45 : x
3/4 = 45/x
Cross product
3 * x = 4 * 45
3x = 180
x = 180/3
x = 60
x = number of delivery vans = 60
Please help me and no links
Answers
Answer:
Sam's is nonsense and Kim's is sense
Step-by-step explanation:
why? because 1/3 and 1/6 are not equivalent. and 1/3 is greater. so therfore Kim's makes sense
Find k given that these three points are collinear.
A(0, -2), B(2, 0), and C(5, k)
Answers
Answer:
k = 3.
Step-by-step explanation:
If they are collinear the slope of AB = the slope of BC, so :-
(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)
2/2 = k/3
1 = k/3
k = 3.
Write an equation in point-slope form of the line that passes through the point (7, -4) and has a slope of m=-6.
Answers
Answer:
(-4-y) = -6(7 - x)
Step-by-step explanation:
PLS HELP I'LL GIVE YOU BRAINLIEST In a recipe you need 200 g of flour to make 8 cookies. Rosie has 480 g of flour. What is the greatest number of cookies rosie can make?
Answers
Answer:
19 cookies
Step-by-step explanation:
200/8 = 25
25 grams of flour in each cookie.
480/25 = 19.2
Rosie can make up to 19 cookies with 480g of flour
Answer:
The greatest number of cookies Rosie can make is 19 cookies.
Step-by-step explanation:
200g = 8 cookies
400g = 16 cookies
475g = 19 cookies
you only have 480 g of flour and 1 cookie uses 25 g of flour.
Your Welcome!
Hi! i need help asap!!
Answers
Answer:
4. 3/5
5. 1/12
6. 5/12
hope this helps
good day mate
Amy,Corey, and John go to Central Park to throw a flying disk among themselves. they stand at the positions as shown on the coordinate grid below...PLEASE HELP QUICK! I WILL GIVE BRAILY ANSWER THING PLEASEEE
Answers
Answer:
B
Step-by-step explanation:
It is what it is
Please answer these 3 answers correctly
Answers
Answer: 3. Tan; 4. 4.76; 5. 12
Step-by-step explanation: First question: SOH CAH TOA; if you draw a picture with the given information you know the Opposite and Adjacent sides to the upper left angle, or OA which is also Tan according to Soh Cah Toa. Second question: Use inverse tan(1/12) to solve. Third question: Same idea as the last question but use inverse sin(1/5)
Can someone please help me with this question
This is Amy's family.
Her family of 6 people(4 adults and 2 children) went to
Super Nintendo World last year. Although she couldn't
remember what each tickets costed, she knew that her
family paid $1700 total for the tickets,
use variable a for number of adult tickets
use variable c for number of child tickets
Write an equation that describes this situation,
Answers
Answer:
4a + 2c = 1700
Step-by-step explanation:
I NEED HELP ASAP PLEASEEEEE!!!!! ONLY ON 9a ND 9b!!!!!!
Answers
9A:
The problem says 35% of the 3560 applications are from boys who lived in other states.
This can be expressed as:
3560*35% = 3560*0.35 = 1246 applications.
9B:
The problem says applications to the university (3560 applications) represented 40% of all applications.
This can be expressed as:
3560 = 40% * A, where A = number of applications received in all.
To find how many applications received in all, just solve for A.
A = 3560 / 0.4 = 8900 applications.
The key to these types of problems is that "of" signals multiplication. For example, 40% of all applications is 40% * all applications.
33.6
25
27
68.4
8
[4 * (4 + 3)] - 3
[17 – 5) = 3] x 2
(5.4 + 3) * (6-2)
[9= 3 +6] * 3
DDDDD.
0
(4 +3.2) * [(9 - 2) + 2.5]
Answers
Step-by-step explanation:
1
A student made 6 bows from 12 yards of ribbon. How many bows can be made from 3
2
yards of ribbon?
2
D A bag of almonds weighs 1-pounds.
Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6 teachers. There are 720 people in the auditorium. Consider the probability of selecting one person at random from the auditorium
Answers
Correct Question:
He counts 18 female students, 16 male students, and 6 teachers. There are
720 people in the auditorium. Consider the probability of selecting one person
at random from the auditorium.
Which of these statements are true?
Choose all that apply.
A: The probability of selecting a teacher is 6%.
B : The probability of selecting a student is 85%.
C : The probability of selecting a male student is 32%.
D : The probability of selecting a female student is 45%.
Step-by-step explanation:
Option B and D are correct because
The total number of people in one cross section = 18 + 16 + 6 = 40.
A = The probability of selecting a teacher is = (6/40)x100 = 15 % not equal to 6 %
B = The probability of selecting a male student is = (34/40)x100 = 85%
C = The probability of selecting a male student is = (16/40)x100 = 40 % not equal to 32 %
D : The probability of selecting a female student is = (18/40)x100= 45%