Answers
Answer: B. This function has no intercept. I think B is the correct answer.
Related Questions
Question 1 and 2 plz explain
Answers
Answer:
1.D
2.B
Step-by-step explanation:
1. The x intercept is the value of x when y is zero. We know that the x intercept is 0.5 so we must find a value of k that will make our rational function equal zero when x=0.5
[tex]y = \frac{k}{x + 1} - 2[/tex]
Substitute x=0.5 and y=0.
[tex]0 = \frac{k}{0.5 + 1} - 2[/tex]
[tex]0= \frac{k}{1.5} - 2[/tex]
[tex]2 = \frac{k}{1.5} [/tex]
[tex]3 = k[/tex]
D is the Answer.
2. We need to consider the function
[tex] \frac{2x}{1 - {x}^{2} } [/tex]
Since the numerator is a linear term, it will have one zero to the equation using fundamental Theorem of Algebra so C is wrong.
This is a rational function because we are dividing two polynomials by each other and q(x) or the denominator isnt zero. So D is wrong.
The denominator is a quadratic term so it will have two vertical asymptote according to the fundamental Theorem of Algebra So A is Wrong.
B is Right, the equation isnt defined at x=0 because when we plug 0 into the denominator, it doesn't equate to zero.
If the prism has 3 layers, what would the volume of the
prism be in cubic centimeters?
OA) 4 cubic centimeters
OB) 8 cubic centimeters
OC) 12 cubic centimeters
OD) 16 cubic centimeters
Answers
Answer:
OD) 16 cubic centimeters
Given the arc, name the central angle.
FG
A. ∠GQJ
B. ∠FQG
C. ∠GQI
D. ∠HQI
Answers
Answer:
B
Step-by-step explanation:
Given arc FG then the central angle is the angle at the centre subtended by FG , that is
central angle = ∠ FQG
The central angle is B i.e ∠FQG
What is central angle?A central angle exists an angle whose vertex stands present at the center of a circle created by the two radii as the sides of the angle.
In Mathematics, an “arc” exists as a smooth curve joining two endpoints. In general, an arc exists one of the portions of a circle. It is essentially a part of the circumference of a circle. Arc exists as a part of a curve. An arc can be a portion of some other curved constitutions like an ellipse but mostly guides to a circle.
The angle substended by the arc would be ∠FQG.
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A pizza parlor has a choice of 10 toppings for its pizzas. From these 10 toppings, how many different 7-topping pizzas are possible?
Answers
Answer:
120
Step-by-step explanation:
There are 10 possible toppings to choose from, you choose 7.
Using combinatorics, it's 10!/(7! 3!), or 120.
The formula is (total amount to choose from )! divided by (amount you choose)!(amount you don't choose)!
Or search up combination formula
A combination is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
The formula for combination.
= [tex]^nC_r[/tex]
= n! / r! (n -r)!
The number of possible 7-toppings for the pizza is 120.
What is a combination?A combination is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
The total number of toppings = 10.
n = 10
The number of required toppings = 7.
r = 7
The formula for combination.
= [tex]^nC_r[/tex]
= n! / r! (n -r)!
The possible number of possible 7-toppings pizzas.
= [tex]^{10}C_7[/tex]
= (10 x 9 x 8) / (3 x 2)
= 120
Thus,
n = 10 and r = 7
[tex]^{10}C_7[/tex] = 120
The number of possible 7-toppings for the pizza is 120.
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According to the American Academy of Cosmetic Dentistry, 75% of adults believe that an unattractive smile hurts career success. Suppose that 25 adults are randomly selected. What is the probability that 15 or more of them would agree with the claim?
Answers
Answer:
0.9703 = 97.03% probability that 15 or more of them would agree with the claim.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they agree with the claim, or they do not. The probability of an adult agreeing with the claim is independent of any other adult, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
75% of adults believe that an unattractive smile hurts career success.
This means that [tex]p = 0.75[/tex]
Suppose that 25 adults are randomly selected.
This means that [tex]n = 25[/tex]
What is the probability that 15 or more of them would agree with the claim?
This is:
[tex]P(X \geq 15) = 1 - P(X < 15)[/tex]
In which:
[tex]P(X < 15) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 13) + P(X = 14)[/tex]
14 is below the mean, so we start below and go until the probability is 0. Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 14) = C_{25,14}.(0.75)^{14}.(0.25)^{11} = 0.0189[/tex]
[tex]P(X = 13) = C_{25,13}.(0.75)^{13}.(0.25)^{12} = 0.0074[/tex]
[tex]P(X = 12) = C_{25,12}.(0.75)^{12}.(0.25)^{13} = 0.0025[/tex]
[tex]P(X = 11) = C_{25,11}.(0.75)^{11}.(0.25)^{14} = 0.0007[/tex]
[tex]P(X = 10) = C_{25,10}.(0.75)^{10}.(0.25)^{15} = 0.0002[/tex]
[tex]P(X = 9) = C_{25,9}.(0.75)^{9}.(0.25)^{16} \approx 0[/tex]
Then
[tex]P(X < 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0002 + 0.0007 + 0.0025 + 0.0074 + 0.0189 = 0.0297[/tex]
And
[tex]P(X \geq 15) = 1 - P(X < 15) = 1 - 0.0297 = 0.9703[/tex]
0.9703 = 97.03% probability that 15 or more of them would agree with the claim.
Find y when x = 22, if y varies directly as x,
and y = 42 when x = 5.
Answers
Answer:
184.8
Step-by-step explanation:
y =kx
k=y/x
k=42/5=8.4
y=8.4*22
Independent simple random samples are selected to test the difference between the means of two populations whose standard deviations are not known. We are unwilling to assume that the population variances are equal. The sample sizes are n1 = 25 and n2 = 35. The correct distribution to use is the:
1) t distribution with 59 degrees of freedom.
2) t distribution with 58 degrees of freedom.
3) t distribution with 61 degrees of freedom.
4) t distribution with 60 degrees of freedom.
Answers
Answer:
2) t distribution with 58 degrees of freedom.
Step-by-step explanation:
Population standard deviations not known:
This means that the t-distribution is used to solve this question.
The sample sizes are n1 = 25 and n2 = 35.
The number of degrees of freedom is the sum of the sample sizes subtracted by the number of samples, in this case 2. So
25 + 35 - 2 = 58 df.
Thus the correct answer is given by option 2.
By Using 0,2,4,5,6 Write The Smallest Number And the Greatest Number
Answers
Answer:
smallest is 0 and greatest is 6
simple
Answer:
0 and 6
Step-by-step explanation:
Because 0 is means nothing.And the highest number is 6
I need to know this answe ASAP
Answers
Answer:
The function is always increasing
Step-by-step explanation:
To be increasing, the y value needs to be getting bigger as x gets bigger
This is true for all values of x
The function is increasing for all values of x
The median age (in years) of the U.S. population over the decades from 1960 through 2010 is given by
f(t) = −0.2176t3 + 1.962t2 − 2.833t + 29.4 (0 ≤ t ≤ 5)
where t is measured in decades, with t = 0 corresponding to 1960.
(a) What was the median age of the population in the year 1970?
(b) At what rate was the median age of the population changing in the year 1970?
(c) Calculate f ''(1).
Answers
Considering the given function, we have that:
a) 28.31 years.
b) 0.3382 years a decade.
c) 2.6184.
What is the function?The median age of the U.S. population in t decades after 1960 is:
f(t) = -0.2176t³ + 1.962t² - 2.833t + 29.4.
1970 is one decade after 1960, hence the median was:
f(1) = -0.2176 x 1³ + 1.962 x 1² - 2.833 x 1 + 29.4 = 28.31 years.
The rate of change was is the derivative when t = 1, hence:
f'(t) = -0.6528t² + 3.924t - 2.933
f'(1) = -0.6528 x 1² + 3.924 x 1 - 2.933 = 0.3382 years a decade.
The second derivative is:
f''(t) = -1.3056t + 3.924
Hence:
f''(1) = -1.3056 x 1 + 3.924 = 2.6184.
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A married couple had a combined annual income of $81,000. The wife made $9000 more than her husband. What was each of their incomes?
Answers
Step-by-step explanation:
Let the husband's income be x
Wife's income be x + 9000
X + X + 9000 = 81000
2X + 9000 – 9000 = 81000 – 9000
2X= 72000
X = 36000
Husband, 36000,
Wife, 9000+36000, 45000
What is the area of the pool ?
Answers
Answer:
https://brainly.com/question/24258518
Step-by-step explanation:
Match each polynomial on the left with its two factors on the right.
Answers
Answer:
Hello
Step-by-step explanation:
[tex]Formula: \\\\\boxed{\Large a^3\pm b^3=(a \pm b)(a^2 \mp ab+b^2)}\\\\8x^3+1=(2x)^3+1^3=(2x+1)(4x^2-2x+1)\\\\8x^3-1=(2x)^3-1^3=(2x-1)(4x^2+2x+1)\\[/tex]
The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The expression is given below.
8x³ + 1 and 8x³ - 1³
(2x)³ + 1³ and (2x)³ - 1³
We know that the formula is given as,
a³ + b³ = (a + b) (a² – ab + b²)
a³ – b³ = (a – b) (a² + ab + b²)
Then the expression is written as,
(2x)³ + 1³ = (2x + 1) [(2x)² – 2x + 1²]
(2x)³ + 1³ = (2x + 1) (4x² – 2x + 1)
(2x)³ – 1³ = (2x – 1) [(2x)² + 2x + 1²]
(2x)³ – 1³ = (2x – 1) (4x² + 2x + 1)
The factors of the expression 8x³ + 1 and 8x³ - 1³ will be (2x + 1) & (4x² – 2x + 1) and (2x – 1) & (4x² + 2x + 1), respectively.
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A translation T maps point B(-2,4) onto point B (3,-1). What is the translation T?
HELP PLSS!!!!
A- (x+5, y-5)
B- (x+5, y+5)
C- (x-5, y+5)
D- (x-5, y-5)
Answers
Answer:
(x+5, y-5) is the correct answer
Step-by-step explanation:
first, take -2 and 3 on x value; when you jump from -2 to 3, your answer is positive 5
second, take 4 and -1 on y value; when you jump from 4 to -1, your answer is negative 5
hence your answer for this question is a- (x+5, y-5)
Find how much money needs to be deposited now into an account to obtain $7,300 (Future Value) in 6
years if the interest rate is 2.5% per year compounded monthly (12 times per year).
The final amount is $
Round your answer to 2 decimal places
Answers
Answer:
x= $6,284.15
Step-by-step explanation:
7300 = x(1 + .025/12)^72
x = [tex]\frac{7300}{(1 + \frac{.025}{12} )^{72} }[/tex]
x= $6,284.15
Instructions: Determine if the two triangles in
the image are congruent. If they are, state how
you know by identifying the postulate.
th
Answers
The 2 triangles are congruent
properties of exponents. the answer is 1/2^3 i need help with the work
Answers
(2^-1)^2/2×2^0
2^(-1×2)/2^1
2^-2/2^1
2^(-2-1)
2^(-3)
(1/2)^3
Properties used (m^n)^a = m^na
(m)^-n = (1/m)^n
m^0 = 1
m^n/m^a = m^(n-a)
Must click thanks and mark brainliest
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Answers
9514 1404 393
Answer:
x = 14 cm
Step-by-step explanation:
We can only solve for x if the triangles are similar. The arrows on the left and right legs say those are parallel. Since alternate interior angles at each of the transversals are congruent, the triangles are AA similar.
ΔABC ~ ΔDEC, so we have ...
EC/ED = BC/BA
x/(18 cm) = (35 cm)/(45 cm)
x = (18 cm)(7/9) = 14 cm
need help asap (giving brainliest)
Answers
Answer:
hhhhjhgbbbjjhjjjjjkkkkkkkk
Answer:
Step-by-step explanation:
Q1. Sobey's is the best deal
In Food Basics, having the two loaves of bread costing 4.88 would mean that (4.88 / 2) one would cost 2.44.
To find out how much three would cost, multiply 2.44 by three, and the result is 7.32, which is higher than the three loves of bread that costs 7.20 in Sobey's, which Sobey's has a better deal. 7.20 / 3 = 2.40, yet Food Basics does cost higher by 4 cents for just one.
I am not too sure about question 2, but I do hope the above question helps!
Help I have a time limit
Answers
Answer:
I think its C:37
Step-by-step explanation:
And if im wrong sorry :/
I want a correct answer you can take your time. If I was born on December 24, two thousand and four ( 24 / 12 / 2004 ) and my classmate was born on April 9, two thousand and six ( 09 / 04 / 2006 ), how many months, years and days are we apart?
Answers
Answer:
8 months 11 days 1 year
Multiplying and bmbFREE BRAINLIST AND POINTS!! Fast! RIGHT ANSWERS ONLY! Scam and wrong answers will be reported and dealed with.
1. 6x(-4)=
3. (-11) x 5=
4. (-12) x (-7)=
5. (-2) x (-10)
6. 4 x (-15)=
Answers
Answer:
Step-by-step explanation:
-24
-55
84
20
-60
find the missing side lengths
Answers
this is a special triangle so v = 17
u = 17√2
Answer:
v = 17
u = 17[tex]\sqrt{2}[/tex]
Step-by-step explanation:
If v = 17 (it is because it is a right triangle, so the pythagorean theorum works, and triangles are 180 degrees, so 180 - 90 = 90, so the other two angles are 45 degrees, meaning that v is the same length as 17.) then
17 ^ 2 = u ^2
289 = u^2
17 root to 2
a playing card is chosen at random from a standard deck of cards. what is the probability of choosing 5 of diamonds or one jack
Answers
Answer:
1/52
Step-by-step explanation:
What is the slope of the points (-2,7) and (2,-5)?
4
-3
-12
3
Answers
Answer:
-3
Step-by-step explanation:
Slope is equal to (-5-7)/(2-(-2)=-12/4=-3
3,6,6,12,9,?,12 what comes next. Options
A.15
B.18
C.11
D.13
Answers
Answer:
a
Step-by-step explanation:
3x tables
vhhvffffhhgfgfccf
Answer:
a
Step-by-step explanation:
Has pattern 3x tables. Answer is 15 A.
Find the volume of a right circular cone that has a height of 18m and a base with a radius of 5.8m
Answers
Find the missing length indicated
Answers
Answer:
60
Step-by-step explanation:
Use similar triangles or the ratios from the right triangle altitude theorem.
x/36 = (64 + 36)/x
x² = 3600
x = 60
Functions, f and g are given by f(x)= 3+ cos x and g(x) = 2x, x is a real number. Determine the value of c for which f(g(x))= g(f(x)) where 0[tex]\leq[/tex] x<2[tex]\pi[/tex]
Answers
9514 1404 393
Answer:
x = π
Step-by-step explanation:
You want f(g(x)) = g(f(x)):
3 +cos(2x) = 2(3 +cos(x))
cos(2x) -2cos(x) = 3 . . . . . . . rearrange
2cos(x)²-1 -2cos(x) = 3 . . . . . use an identity for cos(2x)
2(c² -c -2) = 0 . . . . . . . . . . . . substitute c = cos(x)
(c -2)(c +1) = 0 . . . . . . . . . . . factor
c = 2 (not possible)
c = -1 = cos(x) . . . . . true for x = π
The value of x that makes f(g(x)) = g(f(x)) is x = π.
_____
Additional comment
The substitution c=cos(x) just makes the equation easier to write and the form of it easier to see. There is really no other reason for making any sort of substitution. In the end, the equation is quadratic in cos(x), so is solved by any of the usual methods of solving quadratics.
8.113 as a fraction PLEASE HELP ME
Answers
Answer:
8113/1000
Step-by-step explanation:
