Answer:
A)f(x)=2x-9 and g(x)=(x+9)/(2)
Step-by-step explanation:
f(g(x)) =x for inverses
A)f(x)=2x-9 and g(x)=(x+9)/(2)
2(x+9)/2) -9 = Canceling the 2 x+9 -9 = x inverse
B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2)
2/(x+6)/2 ) -6 =4/(x+6) - 6 This will not give me x
C)f(x)=(x)/(3)+4 and g(x)=3x-4
(3x+4)/3 -4 = x + 4/3 -4 This will not give me x
D)(x)=5+\root(3)(x) and g(x)=5-x^(3)
5 + cuberoot ( 5-x^3) This will not give me x back
Answer:
2x-9 is the inverse of x+9/2
Step-by-step explanation:
I need helppppppppppppp
Answer:$140 for the train ride
$84 for the museum
Step-by-step explanation:
28×5
28×3
All the students + you = 28
If not, try 27×5 and 27×3
Answer:
$216 for the Train Ride and visit to the Museum.Step-by-step explanation:
There are two values to find and add together.
o The admission cost for the Museum
o The admission cost for the Train Ride
Let's make some equations.
x=number of people
Museum: 3x=total cost for Museum (m)
Train Ride: 5x=total cost for Train Ride (t)
m+t= total money spent
Now, let's replace the values.
Museum: 3(27)=$81
Train Ride: 5(27)=$135
$81+$135=$216 for the Train Ride and visit to the Museum.
Hope this helps!
-Emma
Which number completes the inequality? 1.01 less-than blank less-than 1.17, less-than 1.20 1.008 1.08 1.18 1.8
Answer:
1.08
Step-by-step explanation:
1.01 < x < 1.17
x ≠ 1.20
x ≠ 1.008
x = 1.08
x ≠ 1.18
x ≠ 1.8
The number that completes the inequality is 1.08:
1.01 < 1.08 < 1.17, < 1.20
Option C is the correct answer.
We have,
To determine which number completes the inequality, we need to find the number that is greater than 1.01 but less than both 1.17 and 1.20.
Among the given options, the number that satisfies this condition is 1.08.
Thus,
The number that completes the inequality is 1.08:
1.01 < 1.08 < 1.17, < 1.20
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At a company picnic, 1/2 of the people are employees. 2/5 are employees' spouses. What percent are neither?
Answer:
10% of the people at the picnic are neither.
Step-by-step explanation:
To get the answer,
1/2 + 2/5 = 9/10
10/10 - 9/10 = 1/10
1/10 = 10%
Thanks, I hope I got this right!
ΔABC has been translated right to create triangle ΔXYZ. Based on this information, which of the following is a true statement? answers: A) ≅ B) ≅ C) ∠A ≅ ∠C D) ∠B ≅ ∠X
Answer:
None. (or B)
Step-by-step explanation:
A) AC≅ZY
B) AZ≅
C) ∠A ≅ ∠C
D) ∠B ≅ ∠X
Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.
The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
What is translation transformation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Given that, Δ ABC has been translated right to create triangle Δ XYZ
We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.
That means Δ ABC ≅ Δ XYZ Therefore, we get,
Congruent parts are;
Angles:-
∠ A ≅ ∠ X,
∠ B ≅ ∠ Y and
∠ C ≅ ∠ Z
Side:-
AB ≅ XY,
BC ≅ YZ and
AC ≅ XZ
Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
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please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
Option B is the correct answer.
Step-by-step explanation:
B= {- 5, - 4.5, - 3}
can someone help fill in the gaps in the table and calculate an estimate for the mean
Answer:
Step-by-step explanation:
5x3= 15
8x9=72
12x11=132
14x17=138
9x17=153
15+72+132+138+153=510
510/50=10.2= mean
Which transformations could be performed to show that
AABC is similar to AA"B"C"?
Answer:
add a picture
Step-by-step explanation:
Formulate the recursive formula for the following geometric sequence. {-16, 4, -1,...}
Answer:
Step-by-step explanation:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
[tex]a_{n}=a_{n-1}*r\\a_{n}=a_{n-1}*\frac{-1}{4}\\\\a_{n}=\frac{-1}{4}a_{n-1}[/tex]
Answer:
Common ratio = 2nd term/1st term = 4/-16 = -1/4
Step-by-step explanation:
HURRY PLS!!!
which expression is equivalent to 3(b+ c) using only the distributive property?
3bc
3(c+b)
3b+3c
(b+c) • 3
Answer:
3b + 3c
Step-by-step explanation:
hope this helps you
Answer:
3(c+b)
Step-by-step explanation:
3(b+c) is essentially 3 times B+ 3 times c
and 3(c+b) is 3 times c + 3 times B
PLEASE HELP!!!!!!! i will give brainliest
Yes they are independent because P(California) = 0.55 approximately and P(California | Brand B) = 0.55 approximately as well
===================================================
Explanation:
P(California) is notation that means "probability the person is from California". There are 150 people from California out of 275 total. Therefore, the probability is 150/275 = 0.5454 approximately which rounds to 0.55
Now if I told you "this person prefers brand B", then you would focus your attention solely on the brand B column. The other columns are ignored because you know they don't prefer anything else. With this narrower view, we see that 54 Californians prefer this brand out of 99 total. The probability becomes 54/99 = 0.5454 which rounds to 0.55. We get the same as before.
The notation P(California | Brand B) means "the probability they are from California given they prefer brand B". The vertical line is not the uppercase letter i or lowercase letter L. It is simply a vertical line. In probability notation that vertical line means "given".
We've shown that P(California | Brand B) = 0.55 approximately. The fact that they prefer brand B does not change the original probability. So the two events are independent. If liking brand B did change the probability, then the events would be dependent.
A social scientist surveyed a random sample of male musicians at a university about their practice habits. The graph below displays the amount of time typically spent practicing their instrument daily.
Which of the following inferences can be made from the data?
Answer:
C
Step-by-step explanation:
male musicians practice an avg 2/hrs a day
The inferences can be made from the data on average, male musicians practice for two hours per day. Then the correct option is C.
What is a histogram?A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
A social scientist surveyed a random sample of male musicians at a university about their practice habits.
The graph below displays the amount of time typically spent practicing their instrument daily.
From the graph, we can conclude that on average, male musicians practice for two hours per day.
Then the correct option is C.
More about the histogram link is given below.
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Delaware was the first state to enter the Union and Hawaii was the 50th. If we order the positions of entry for the rest of the states, we find that State A entered the Union right after State B, and the product of their order-of-entry numbers is 132. Use the given information to complete each statement. State A was the th state to enter the Union. State B was the th state to enter the Union.
Answer:
State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.
Step-by-step explanation:
Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:
x*(x+1) = 132
x² + x - 132 = 0
Using quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)} [/tex]
[tex]x = \frac{-1 \pm 23}{2} [/tex]
[tex]x_1 = \frac{-1 + 23}{2} [/tex]
[tex]x_1 = 11 [/tex]
[tex]x_2 = \frac{-1 - 23}{2} [/tex]
[tex]x_2 = -12[/tex]
The negative solution has no sense in the context of our problem, then the solution is x = 11.
3.
Reasons
Statements
MNOP is a parallelogram
PM || ON
N
M
Alternate Int. Zs Thm.
Given:
MNOP is a parallelogram
MN || PO
Alternate Int. Zs Thm.
Prove:
PM ON
(For this proof, use only the
definition of a parallelogram;
don't use any properties)
Answer:
[tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles ΔOMN and ΔOMP are congruent (CPCTC)
Step-by-step explanation:
1) MNOP is a parallelogram: Reason; Given
2) [tex]\overline{PM}\left | \right |\overline{ON}[/tex]: Reason; Definition of a parallelogram
3) ∠MON ≅ ∠PMO: Reason; Alternate Int. ∠s Thm.
4) [tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Definition of a parallelogram
5) ∠NMO ≅ ∠POM: Reason; Alternate Int. ∠s Thm.
6) [tex]\overline{OM}\cong\overline{OM}[/tex]: Reason; Reflexive property
7) ΔOMN ≅ ΔOMP: Reason; Angle Angle Side (AAS) congruency theorem
8) [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles are congruent (CPCTC).
Also we have;
9) [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Segment opposite congruent angles are congruent
Assume that when adults with smartphones are randomly selected, 49% use them in meetings or classes. If 30 adult smartphone users are randomly selected, find the probability that exactly 23 of them use their smartphones
Answer: 0.0013684
Step-by-step explanation:
Given the following :
Probability (p) = 49% = 0.49
Number of selected adults (n) = 30
Find the probability that exactly 23 use their smartphone.
The problem is abive can be solved using the binomial probability function.
Binomial probability :
P(X = x) = [n! / x! (n-x)!] * P^x * (1 - P)^(n-x)
At x = 23
P(X = 23) = [30! / 23! (30-23)!] * P^23 * (1-0.49)^(30-23)
P(X = 23) = [30! / 23! (7)!] * 0.49^23 * (0.51)^7
P(X =23) = (2035800) × 6.72203E−10
= 0.0013684
Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft
Answer: 40.9
Step-by-step explanation:
2. Which of the following methods can't be used to find the zeros of a function?
options:
A. Substitute x = 0 in the function and solve for f(x).
B. Graph the function using a table of values.
C. Factor the function and apply the zero-product property to its factors.
D. Apply the quadratic formula.
Answer:
The correct option is;
Substitute x = 0 in the function and solve for f(x)
Step-by-step explanation:
The zeros of a function are the values of x which produces the value of 0 when substituted in the function
It is the point where the curve or line of the function crosses the x-axis
A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,
Therefore, substituting x = 0 in the function can't be used to find the zero's of a function
B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis
C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function
d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0
Answer: Substitute x = 0 in the function and solve for f(x).
Step-by-step explanation:
Pls help summer homework :D C:
Answer:
C) None of the above
Step-by-step explanation:
Reason is V is a shorter distance and q is longer they need to be subtraction but the other way round to enable the correct subtraction we can show (q-V) which means the longer distance minus the shorter distance.
Which graph represents the solution set of the inequality. 5a+18<-27. Choose 1 answer
Answer:
c
Step-by-step explanation:
Khan academy
Help ? I’m really bad at math !
Answer:
<b = 23°
Step-by-step explanation:
<a and <b are complementary so they add up to 90
<a + <b = 90
Where <a = 67
67 + <b = 90
<b = 90 - 67
<b = 23°
Answer:
∠b=23°
Step-by-step explanation:
∠a+∠b=90°
67°+∠b=90°
Subtract 67° from both sides
∠b=23°
Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.
Answer:
The y-intercept would be 6.25
Step-by-step explanation:
I found this by taking the two points and making it into a y = mx + b line.
Answer:
(0,3)
Step-by-step explanation:
We can use the slope-intercept form to find the y-intercept.
First, we need to find the slope of the line.
We are given the points (-1,7) and (1,-1).
[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]
The slope is -4.
Slope-intercept is [tex]y=mx+b[/tex].
We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.
I will use (-1,7):
[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]
The line's equation is [tex]y=-4x+3[/tex].
Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).
John wants to invest in a simple intereset savings account The intereset rate on this account is 0.7%. The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x where x represents the time (in years) that john leaves her money in the account what is johns initial investment?
Answer:
John's initial investment is Rs.150000
Step-by-step explanation:
Let the principal amount be a
We are given that John wants to invest in a simple interest savings account .The interest rate on this account is 0.7%.
Now to find simple interest in x years
Formula : [tex]Si = P \times T \times R[/tex]
Where P = Principal
T= time
R = rate of interest in decimals
So,[tex]SI=a \times 0.007 \times x[/tex]
Amount = Principal+Interest
Amount = [tex]a+a(0.007)x[/tex]
We are given that The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x
So, On comparing a = 150000
Hence John's initial investment is Rs.150000
81. What is the next number? 1, 1/2, 1/4, 1/8,
Answer:
1/16
Step-by-step explanation:
multiply by 1/2
1, 1/2, 1/4 , 1/8, 1/16
Answer:
1/16
Step-by-step explanation:
If you see the pattern it goes by x2 (the denominator)
1 , 1/2, 1/4, 1/8, 1/16
A bridge constructed over a bayou has a supporting arch in the shape of an inverted parabola. Find the equation of the parabolic arch if the length of the road over the arch is 100 meters and the maximum height of the arch is 40 meters.
Answer:
y = (-2/125)(x - 50)² + 40
Step-by-step explanation:
The total length of the bridge is 100 meters.
Maximum height always occurs at midpoint of x.
So for x=50 meters , y = 40 meters.
As the vertex is given at the maximum height, Vertex can be defined at the point (50,40)
We know that the general equation for vertical parabola is:
y = a(x - h)² + k
Where (h,k) = Vertex = (50,40)
Substitute in the equation:
y = a(x - 50)² + 40 ⇒ Equation (i)
We know 2 more points on the parabola. We know that when x=0 , y=0 and we also know that when x=100m, y=0 meters.
Substitute any point in the above equation
Substituting (100,0) in the equation
0 = a(100 - 50)² +40
Solve the equation for a:
a = - 2/125
Substitute a in Equation (i)
y = (-2/125)(x - 50)² + 40
Line j is a straight line. Line j is a straight line. 2 lines come out of the line to form 4 angles. From top left, clockwise, the angles are: x, y, z, w. Which equation represents the relationship between the measures of Angle w and Angle z? Measure of angle w = measure of angle z Measure of angle w + measure of angle z = 90 degrees Measure of angle w + measure of angle z = 100 degrees Measure of angle w + measure of angle z = 180 degrees
Answer:
c
Step-by-step explanation:
In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.
What is a supplementary angle?This is the type of angle that when measured, two of the angles would sum up to 180 degrees.
The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.
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Which elements in the same below are integers? -3,3.7,9,-7.34,2.83,5,56/7,-1
Answer:
Integers -3, 9, 5, 56/7, -1
Step-by-step explanation:
Integers are whole numbers that can be positive or negative. They do not have decimals.
Solve for r in the triangle. Round your answer to the nearest tenth.
Answer:
6.9 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/hyp
sin 35 = x/12
12 sin 35 = x
6.882917236 = x
To the nearest tenth
6.9 =x
(a) The perimeter of a rectangular parking lot is 332 m.
If the width of the parking lot is 75 m, what is its length?
Length of the parking lot:
m
Answer:
Step-by-step explanation:
Perimeter of the rectangle = 332m
Perimeter of a rectangle = 2(L+b)
Breadth = 75m
= 2 ( L + 75) = 332
2L + 150 = 332
2L = 332-150
L = 182/2
L= 91m
whats the answer???
Answer:
a is the answer
have a great day. brainliest please
Step-by-step explanation:
Answer:
the answer is A. :)
Step-by-step explanation:
the answer A. is 10 so just think what 2 times what will equal 10 so....2 x 5 = 10 and we got 10 so that is how we get our answer
Brainliest please thank you! and good luck!
Which table represents a direct variation function?
Can you help me please.
Step-by-step explanation:
[tex]a) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ b) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]