Answer:
g(x) is the function f(x) which is shifted 3 units left and 1 unit upStep-by-step explanation:
Given
g(x)=log2(x+3)+1andf(x)=log2xThe transformation is
g(x) = f(x + 3) + 1, which indicates thatg(x) is the function f(x) which is shifted 3 units left and 1 unit upg(x) is the function f(x) which is shifted 3 units left and 1 unit up
If you are given
g(x)=log2(x+3)+1 and f(x)=log2x
Then the transmission is g(x) = f(x + 3) + 1, which indicates that g(x) is the function f(x) which is shifted 3 units left and 1 unit up
Kevin works for a car dealership as a sales support person. He is paid $300 a week plus $5 for every car the dealership sells that week as an incentive to help with sales.
Write an explicit definition that defines Kevin's paycheck.
Let n = the number of cars
A
an=300+5n
B
an=300⋅5n
C
an=300n+5
D
an=300−5n
Devante has a lunch account in the school cafeteria. His starting balance at the beginning of the month in $35.50. The first week, Devante bought 3 lunches and his account balance was $28.00. The second week, Devante bought 5 lunches and his account balance was $15.50.
In a model that relates the balance of his lunch account as a function of the number of lunches he buys, what does the rate of change represent?
A) the number of lunches he purchases
B) The starting balance of his lunch account
C) The amount of money in his lunch account
D) The amount of money he pays for each lunch
Answer:
C) The amount of money in his lunch account
Step-by-step explanation:
Which of these statements are true for the parabola shown here? Select all that apply. Selecciona todas las que correspondan)
Vertex on the y-axis
Concave down
One positive x-intercept
One negative y-intercept
Line of symmetry at y = 3
Answer:
so 3×2 is 839 and 828 equal to pie 111+×÷ equals for the equation is the awnser to 444 which is 344
what is the value of the expression (36 1/2)^2
4 cookies and 6 friends how much does each one get
Answer:
1.5 cookies per friend
Step-by-step explanation:
if you have 6 friends and 4 cookies you can divide the amount of cookies by the amount of people it ends up being 1.5 cookies per person
The exchange rate between the American dollar ($) and the British pound (£) was $1.60= £1.
(a) Denise changed £400 into dollars. How many dollars did she receive?
(b) To change the money, the bank charged a fixed amount of £3 plus 2% of the number of pounds changed. Calculate the amount the bank charged Denise to change her £400.
Answer:
(a) Denise received $640.
(b) The total amount the bank charged Denise was £11
Step-by-step explanation:
Proportions and Percentages
The exchange rate between the American Dollar ($) and the British Pound(£) is $1.60= £1.
(a) Denise changed £400 into dollars. Applying the exchange rate:
£400 = 1.60*400 = $640
Denise received $640.
(b) To change the money, we need to add both fees the bank charged Denise:
A fixed amount of £3
2% of £400 = £8
The total amount the bank charged Denise was £11
HELP ME PLEASEEEEEEEEEEEE !!!!!
True or false:
a. A product of two self-adjoint matrices is self-adjoint.
b. If A is self-adjoint, then Ak is self-adjoint.
Justify your conclusions
Answer:
Option a is "False".
Option b is "True".
Step-by-step explanation:
In point a:
Prove AB=BA
[tex]A=\left[\begin{array}{cc}1&2\\4&5\end{array}\right] \\\\B= \left[\begin{array}{cc}2&1\\8&5\end{array}\right][/tex]
Solve L.H.S part:
[tex]AB= \left[\begin{array}{cc}1&2\\4&5\end{array}\right] \times \left[\begin{array}{cc}2&1\\8&5\end{array}\right][/tex]
[tex]= \left[\begin{array}{cc}2+16 &1+10\\8+40&4+25\end{array}\right]\\\\\\= \left[\begin{array}{cc}18 &11\\48&29\end{array}\right][/tex]
Solve R.H.S part:
[tex]BA= \left[\begin{array}{cc}2&1\\8&5\end{array}\right] \times \left[\begin{array}{cc}1&2\\4&5\end{array}\right][/tex]
[tex]= \left[\begin{array}{cc}2+4 &4+5\\8+20&16+25\end{array}\right]\\ \\ \\= \left[\begin{array}{cc}6 &9\\28&41\end{array}\right][/tex]
So, [tex]AB \neq BA[/tex]
In point b:
[tex]A^{*} =A\\\\(Ak)^{*} =A^k[/tex]
if [tex]k= 1[/tex]it holds the trivially [tex]A^{*}=A ...........(1)[/tex]
by assuming that if it is true for [tex]k=n-1[/tex]
that is
[tex](A^{n-1})^{*}= A^{n-1}............(2) \\\\ if \ k=n\\\\\to (A^{n})^{*} = (A^{n-1} \cdot A^1)^{*} = A^{*}(A^{n-1})^{*} \\\\\to A(A)^{n-1}[/tex] use above equations
[tex]\to A^{n-1+1} \\\\ \to A^{n}[/tex]
that's why it is true.
A random number generator is set to generate integer random numbers between 1 and 10 inclusive following a uniform distribution. What is the probability of the random number generator generating a 7
Answer:
1/10 or 10%.
Step-by-step explanation:
If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.
Enter the decimal equivalent of 9/12
Answer:
0.75
Step-by-step explanation:
9/12 = 0.75
wooo i really really loce math
Step-by-step explanation:
REALLLYYY???!!!!!!
JK
thx 4 the points..
TRIGONOMETRY REVIEW RATIOS FINDING SIDES & ANGLES PLEASE DUE TOMORROW !!!!
Using the Trigonometry ratios, the missing sides and angles are:
1. sin R = 5/13
2. sin T = 12/13
3. cos R = 12/13
4. cos T = 5/13
5. tan R = 5/12
6. tan T = 12/5
7. x = 16.5
8. x = 58.9
9. x = 9.2
10. x = 35.9
11. x = 40.7°
12. x = 77.8°
What are the Trigonometry Ratios?The Trigonometry ratios that can be used to solve any right triangle are given as: SOH CAH TOA.
SOH is: sin ∅ = opp/hyp
CAH is: cos ∅ = adj/hyp
TOA is: tan ∅ = opp/adj.
1. sin R = opp/hyp = 15/39
sin R = 5/13
2. sin T = 36/39
sin T = 12/13
3. cos R = adj/hyp = 36/39
cos R = 12/13
4. cos T = 15/39
cos T = 5/13
5. tan R = opp/adj = 15/36
tan R = 5/12
6. tan T = 36/15
tan T = 12/5
7. Apply CAH:
cos 38 = x/21
x = (cos 38)(21)
x = 16.5
8. Apply TOA:
tan 23 = 25/x
x = 25/tan 23
x = 58.9
9. Apply TOA:
tan 57 = x/6
x = (tan 57)(6)
x = 9.2
10. Apply SOH:
sin 32 = 19/x
x = 19/sin 32
x = 35.9
11. Apply SOH:
sin x = 15/23
x = sin^-1(15/23)
x = 40.7°
12. Apply TOA:
tan x = 37/8
x = tan^-1(37/8)
x = 77.8°
Learn more about Trigonometry ratios on:
https://brainly.com/question/10417664
What do you think the answer is??
Answer:
c
Step-by-step explanation:
Answer:
it's "b"
Step-by-step explanation:
Given that the population proportion is 0.82, the Normal distribution will provide a good approximation to the true sampling distribution of the sample proportion as long as:________.
A) n> 13.
B) n> 30.
C) n> 56.
D) n > 100.
Answer:
Then solution as long as n ≥ 56
Step-by-step explanation:
The Normal distribution will provide a good approximation to evaluate proportion tests when the following conditions are met:
n*p₀ > 10
n*q₀ > 10
As p₀ = 0,82 q₀ = 0,18 n = 13 30 56 and 100
We test:
A) n = 13 n*q₀ = 13*0,18 = 2,34 2,34 < 10
B) n = 30 n*q₀ = 30*0,18 = 5,4 5,4 < 10
C) n = 56 n*q₀ = 56 * 0,18 = 10,08
n*p₀ = 56 * 0,82 = 45,92
D) n = 100 n*q₀ = 18
n*p₀ = 82
If we test 55 we find that 55*0,18 = 9,9
Then solution as long as n ≥ 56
Helppppppppppppppppppppppppp
Answer:
Option A
Step-by-step explanation:
We know that for an eqn. [tex]ax^{2} +bx+c=0[/tex] , the quadratic formula is =
[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a} or \frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
So using quadratic eqn. for [tex]x^{2} -6x-5=0[/tex]
[tex]x =\frac{-(-6)+\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}or\frac{-(-6)-\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}[/tex]
[tex]=> x = \frac{6+\sqrt{36+20} }{2} or\frac{6-\sqrt{36+20} }{2}[/tex]
[tex]=>x = \frac{6+\sqrt{56} }{2} or\frac{6-\sqrt{56} }{2}[/tex]
What is the percent of decrease from 600,000 to 60,000? Write your answer using a percent sign (%).
Answer:
90%
Step-by-step explanation:
change percent to decimal = .90
600,000 x .90 = 540,000
600,000 - 540,000 = 60,000
A Chromebook costs $249.99 at Target. On Black Friday, it is on sale for 15% off.
What is the price of the computer on Black Friday?
With original price $249.99 and 15% off,
Final price: $212.49
Saved amount: $37.50
Answer:
nah
Step-by-step explanation:
asdddddddddddddddddddddddddddddddddddddddddddddd
Which postulate or theorem can be used to prove ABC = DCB
Answer:
SSS theorem
Step-by-step explanation:
SSS theorem
Determine if the segment lengths 9. 12. and 15 fom a right triangle. acute triangle, obtuse triangle or not a triangle.
O Acute
O
Right
Obtuse
O Not a triangle
Mr. Evans is in charge of bringing soda for a party at his work. The store is selling 3 packs for $10. If he needs to bring 9 packs, how much will he pay?
Answer:
$30
Step-by-step explanation:
he will pay $30.00 for 9 packs.
Frank and his family are going to a ground opening of circus there is a special price on ticket this weekend tickets cost $36 each this is 60% of the cost of the regular price ticket what is the cost of the regular price ticket show your work
Answer:
$60
Step-by-step explanation:
so to find the discounted price you take the original price and multiply it by the discounted percentage, so to find the original price you take $36 and divide it by 60% and you get $60 as the undiscounted price of the tickets
What is the cost of a 4 mile taxi ride if the charges Is $2.50 to start plus $2.80 per mile
Answer:
$13.70
Step-by-step explanation:
y=2.80x+2.50
=2.8*4+2.5
=13.7
Answer: $13.70
Step-by-step explanation: The first thing you would do is mulitply 2.80 time four. Then you would add 2.50 to the product to get 13.7.
NEED HELP to pass upcoming project , I've attached the link, when trying to do this project the first time I got partical credit so one of the parts might be right.
9514 1404 393
Answer:
vertex: (-3, 3)
focus: (-3, 2)
directrix: y = 4 (the line)
point on the parabola: (1, -1)
Step-by-step explanation:
The vertex is the extreme point of the parabola. For a parabola opening downward, it is the maximum. Here, that point is labeled (-3, 3).
The focus is a point inside the parabola on the line of symmetry that, together with the directrix, helps define the parabola. Every point on the parabola is the same distance from the focus as it is from the directrix. Here, the point (-3, 2) is the focus.
The directrix is a line outside the parabola that is the same distance from the vertex that the focus is inside. Here, that line is y = 4.
The point on the parabola (1, -1) appears to have no particular significance. It happens to be 5 units distance from both the focus and the directrix.
_____
Additional comment
When you draw a horizontal line through the focus, it intersects the parabola at a point the same distance from the focus as from the directrix. (All points on the parabola have that characteristic. This point just happens to have the same y-coordinate as the focus.) The point you found this way is also on a line through the vertex that has a slope of 1/2 or -1/2.
If you don't know where the focus is for a given parabola, you can always find it using this relationship.
State Ceva’s theorem
Ceva's Theorem states that given any triangle △ABC, the segments from A, B, and C to the opposite sides of the triangle are concurrent precisely when the product of the ratios of the pairs of segments formed on each side of the triangle is equal to 1.
i need help with 4th grade math please thank you so much.It's related multiplication and division problems
please solve..
Answer:
whats the other questions? that's what we need
Step-by-step explanation:
Answer:
yes you can because $63 is the answer for 2a so 2b would have to be a part of that so its going to help you solve it by you know the answer you just have to figure out how else to do it because you have to divide
Step-by-step explanation:
sorry if i got it wrong i don't really understand the question :(
what’s slope in this graph?
Answer:
1/2 !
Step-by-step explanation:
Since it's going up, we know its positive, but if you use RISE/RUN, you would go up 1, then over two, from any point. That makes it 1/2! I went up from the y axis to the next point on the line. I hope that makes sense, but the answer is 1/2!
Have a nice day :D
Find the it out 12 divided by 3/5. 12 divided by 2/25. 8divided by 1/7. 12divided by 1/5
Answer:
Step-by-step explanation:
1. 20
2. 150
3. 56
4. 60
hope this helps. i am in algebra two so you can trust my answers. happy holidays and stay safe
1) What is the area of a rectangle that has side lengths of yard and yard?
Answer:
boooooooooomnhbhikbn
Step-by-step explanation:
Answer:
Yards Squared
Step-by-step explanation:
Because multiplication it ends up as squared yards!
Is this correct??????? Someone plz help
For which x is f(x)=-3?
-7
-4
4
5