Answer:
The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] a real function, we define the following function operations:
Horizontal translation
[tex]g(x) = f(x + a)[/tex] (1)
If [tex]a > 0[/tex], then horizontal translation is to the left, otherwise it is to the right.
Vertical translation
[tex]g(x) = f(x) + a[/tex] (2)
If [tex]a> 0[/tex], then vertical translation is upwards, otherwise it is downwards.
Knowing that [tex]f(x) = \log_{2}x[/tex] and [tex]g(x)[/tex] is the result of translating [tex]f(x)[/tex] four units downwards and five units to the left. Then, we find that:
[tex]g(x) = \log_{2} (x+5)-4[/tex]
The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].
How many terms are in this expression?
9+ 8d+b
(77) – 32
a. - 2
b. 16
C. 52
d. - 16
Answer:
b. 16 not sure its correct just trying to help out. :)
Step-by-step explanation:
pls help work is due tonight i will give brainliest
Answer
the first one is the answer and none of the above
Step-by-step explanation:
find the 66th term in the arithmetic sequence -92,-85,-78,-71,...
Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive? If b represents the number of books each sibling receives, which equation could be used to solve the problem?
Answer:
9 books each
Step-by-step explanation:
27/3=9....what is 16 to the zeroth power
Answer: 1
Step-by-step explanation: Nice try :)
Answer:
1
Step-by-step explanation:
Anything to the 0th is 1
What is the total cost of a $95.00 item with a sales tax of 6%?
Answer:
$100.7
Step-by-step explanation:
Total cost
= cost of item + amount of sales tax
= 95 + 6% of 95
= 95 + 0.06*95
= 95 + 5.7
= $100.7
Answer:
Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.
1.06 × $95.00 = $100.70
The object will cost $100.70.
Step-by-step explanation:
Credits to : Padoru
Check : https://brainly.com/question/14308615 to see their response
Which interval on the graph could be described as linear constant?
A coordinate plane is shown. A line is horizontal from x equals 0 to 2, increases from 2 to 4, decreases from 4 to 5, and decreases at a slower rate from 5 to 8.
A
B
C
D
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Morgan needs to order some new supplies for the restaurant where she works. The restaurant needs at least 650 glasses. There are currently 380 glasses. If each set on sale contains 15 glasses, write and solve an inequality which can be used to determine ss, the number of sets of glasses Morgan could buy for the restaurant to have enough glasses.
Answer:
43 Sets for 650
Step-by-step explanation:
Just do division.
Hope this helps :-)
Answer:
ok
Step-by-step explanation:
12
2
2
2
2
2
3
At 6 weeks old, Tarik's beagle puppy weighed 2.4 kg. Now, the 18-week old puppy welghs 8.4 kg. Find the rate of change.
Answer:
0.5 kg/week
Step-by-step explanation:
rate of change = (change in weight)/(change in time)
rate of change = (8.4 kg - 2.4 kg)/(18 weeks - 6 weeks)
rate of change = 6 kg / 12 weeks
rate of change = 0.5 kg/week
Melissa makes 8 dollars for each hour of work. Write an equation to represent her total pay p after working h hours
Answer:
8 x h= p
Step-by-step explanation:
You see 8. That is the amount she is getting paid for each hour.
p is how much is paid totally after working a certain amount of hours
h represents how many hours she works.
8 dollars times the amount of hours she works(h) would equal p, the total amount she is paid
I really hope this helped~~
The sum of x and 6.5 is 11.9. Find
he value of x.
Answer:
5.4
Step-by-step explanation:
Sum = 11.9
One decimal = 6/5
x = 11.9 - 6.5
= 5.4
Therefore x is 5.4 :)
Simplify: (5x2 - 9x + 3) + (4x2 + 4x - 12)
(1) 9x2 + 5x - 9
2) 9x2 - 5x + 15
3) 9x² - 5x-9
4) 9x2 - 13x - 9
Answer:
3) 9x² - 5x - 9
Step-by-step explanation:
Combine like terms
5x² - 9x + 3 + 4x² + 4x - 12 = 5x² + 4x² - 9x + 4x + 3 - 12
= 9x² - 5x - 9
A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are: (−1,0), (4,0), (2,4), and (7,4). How long is each side of the rhombus?
Answer:
Each side of the Rhombus is 5 units
Step-by-step explanation:
Since the sides of a rhombus area all equal in length;
Then, the length of a side is enough to get the lengths of the other sides
Mathematically, finding the distance between two points out of what we are given will be enough to get the measure of one of the side of the rhombus
We apply the distance formula appropriately to get the distance between the side of the Rhombus
D = √(x2-x1)^2 + (y2-y1)^2
let us use the points (-1,0) and (4,0)
D = √(4 + 1)^2 + (0-0)^2
D = √25
D = 5
The total cost to buy pizzas for Ms. Smith's holiday party can be found using the function C) = 10 +3.50, where x is the number of pizzas bought. If she wants to order at least 5 pizzas but not more than 9 pizzas for her class What is the range of the function for the above situation?
Answer:
1234
Step-by-step explanation:
On average, Carmen can drive 28 miles on every gallon of gasoline. If she fils up her tank for $225 per gallon, how much
will it cost her to drive 336 mies?
Emiliana pays 6% sales tax on a cupcake that costs 3 dollars. How much does the sales tax add to the purchase price? Please tell me how you got the answer. (answer choices: $0.018, $18, $0.18, $3.18)
Answer:
$0.18 sales tax will be added to the purchase price.
Step-by-step explanation:
Given that:
Cost of cupcake = $3
Sales tax applied = 6%
Amount of sales tax = 6% of cost of cupcake
Amount of sales tax = [tex]\frac{6}{100}*3[/tex]
Amount of sales tax = 0.06 * 3 = $0.18
Hence,
$0.18 sales tax will be added to the purchase price.
Find the solution set of the inequality 4x -1 < 11.4x−1<11
Answer:
x<3
Step-by-step explanation:
4x -1 < 11
Add 1 to each side
4x -1+1 < 11+1
4x<12
Divide each side by 4
4x/4 <12/4
x<3
x
Equivalent ratios
ord
Select two ratios that are equivalent to 4: 18.
The sum of three numbers is 76. The third number is eight less than the first. The second number is two times the third. What are the numbers?
Step-by-step explanation:
Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"
The numbers are 25, 34, and 17.
Let x be the first number, y be the second number, and z be the third number. We know that x + y + z = 76, z = x - 8, and y = 2z.
Substituting the second and third equations into the first equation, we get x + 2(x - 8) + (x - 8) = 76.
Simplifying the right side of the equation, we get 4x - 24 = 76.
Adding 24 to both sides of the equation, we get 4x = 100.
Dividing both sides of the equation by 4, we get x = 25.
Substituting x = 25 into the equation z = x - 8, we get z = 25 - 8 = 17.
Substituting x = 25 and z = 17 into the equation y = 2z, we get y = 2 * 17 = 34.
Therefore, the numbers are 25, 34, and 17.
To learn more about numbers here:
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There were 40 swimmers on the team last year. This year, there are 20 swimmers. What is the percent decrease?
i agree it should be 50%
Step-by-step explanation:
half of 40 is 20
Art mows 1 8 acre in 1 4 hour. How many acres does Art mow per hour?
Answer:He mows half an acre in one hour
Step-by-step explanation:
what is 8 ÷ 2(2 + 2) = i have been stuck on this problem for 1 year now Halp !!!
will give brainliest for the right answer thats funny
Answer:
ok after reviewing this answer for the past 8 years i just figured it out
1(6)
Step-by-step explanation:
i know this may come as a huge shock however this is actually true. It's been a long emotionally journey finding this answer but please bear with me, as im crying really hard right now since I cannot believe I actually solved it. As unbelievable as it sounds I will not be providing work as i think my mind is too big and swag, but please believe me on this because im literally the kid genius
edit: ok just ran this through my totally not paid for calculator with my mcdonalds money but it is actually 16 i am literally deleteing my account this is so embarassing for me
Answer:
8÷2= 4 and (2+2)= 4 .....
Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: Two irregular quadrilaterals ABCD and EFGH are drawn. EFGH is the photocopy of design ABCD. AB measures 15 meters, DC measures 17 meters. No dimensions are shown on EFGH. The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image? 15 17 30 34
Answer:
The answer is 34
Step-by-step explanation:
The ratio of AD:EH is 1:2, so therefore the other line segments have the same ratio. Using this logic, we see that DC is equal to 17 m, and we need to find GH. All we do now is double the measurement of DC since the ratio of the two shapes is 1:2.
Therefore, 17 * 2 = 34
Answer:
34
Step-by-step explanation:
hope this helps
Work out an approximate solution to x^3+2x-1=0 use the iteration...... Help please!!!!?????
Approximate solutions are the estimate values of an equation
The approximate solution of the equation is x = 0.45
How to determine the approximate solutionThe equation is given as:
[tex]x^3 + 2x- 1= 0[/tex]
The iteration is given as:
[tex]x_{n+1} = \frac{1}{x_n^2 + 2}[/tex]
To start with, we have:
[tex]x_1 = 1[/tex]
So, we have:
[tex]x_2 = \frac{1}{1^2 + 2} = \frac 13 =0.33333333[/tex]
The next iteration is:
[tex]x_3 = \frac{1}{0.33333333^2 + 2} = 0.47368421102[/tex]
The next iteration is:
[tex]x_4 = \frac{1}{0.47368421102^2 + 2} = 0.4495641344[/tex]
The next iteration is:
[tex]x_5 = \frac{1}{0.4495641344^2 + 2} = 0.45411035264[/tex]
The next iteration is:
[tex]x_6 = \frac{1}{0.45411035264^2 + 2} = 0.45326473189[/tex]
Notice that:
x5 and x6 have the same value to 2 decimal places.
i.e. [tex]x_5 \approx x_6 = 0.45[/tex]
Hence, the approximate solution of the equation is x = 0.45
Read more about approximate solutions at:
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0.75x - y = - 2.1
0.6y 2.4x +9
Answer:
4x-3
Step-by-step explanation:
Yea
The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur
Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
b) Solve G(x) = 0.
2) In the adjacent figure ABCD is a square:
a) Express the area of the square and the area
of triangle AEB in terms of x.
b) Calculate x so that the area of the square is equal
to 6 times the area of triangle AEB.
Answer:
In bold.
Step-by-step explanation:
a. (x+5)^2 – 3x(x+5) x+5 is common
= (x + 5)(x + 5 - 3x)
= (x + 5)(5 - 2x)
b. (x + 5)(5 - 2x) = 0
x = -5, 2.5.
2a. Area of the square = (x + 5)^2
Area of triangle AEB
= 1/2 * base * height
I am assuming that H is the centre of AB , so
Area = x*x
= x^2.
2b
6x^2 = (x + 5)^2
6x^2 = x^2 + 10x + 25
5x^2 - 10x - 25 = 0
x^2 - 2x - 5 = 0
x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2
x = -1.45, 3.45.
(we ignore the negative).
Help... it’s multiple choice math
Answer:
D
Step-by-step explanation:
This is equivalent to t < 4.
clearly this is not part of the set.
What is the value of x in the equation 6(x +11)= -300?
Answer:
-61
Step-by-step explanation:
We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.