Answers
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].
Related Questions
Solve for x.
X + 10
12x - 50
x = [?]
Answers
Answer: x = 5
Step-by-step explanation:
The cost for a pack of 7 padlocks is $23.80 .
Find the unit price in dollars per padlock.
If necessary, round your answer to the nearest cent.
Answers
Answer: $3.40 per padlock
What is it? Plz help
Answers
the answer is 120.
explanation:
If AB is 12, what is the length of A' B'?
Answers
Answer:
8 units
Step-by-step explanation:
As we can see, the two triangles are similar
If two triangles are similar, then the ratio of their sides are equal
thus, mathematically;
12/6 = x/4
2 = x/4
x = 2 * 4
x = 8
True or false plz help
Answers
Answer:
I THINK ITS FALSEStep-by-step explanation:
BECAUSE ITS WRONG
Answer:
i'mma go with false
i hope is right
if not sorry
Step-by-step explanation:
Can someone please help me
Answers
Answer:
.
Step-by-step explanation:
add 10x to -15
divide each by -15
answer: y= -10/15x+1
One number is 3 more than 4 times the second number. Their sum is 43. Find the numbers. Answer : The numbers are , .
Answers
Step-by-step explanation:
Let x be the 2nd number.
Then the 1st number is 4x + 3.
We have 4x + 3 + x = 43, 5x = 40, x = 8.
Hence the numbers are 35 and 8.
I need the lateral and total surface area
Answers
Answer:
The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.
-4n + 1/3m + 4n - 4/5m
Answers
Answer:
[tex]-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}[/tex]
Step-by-step explanation:
Given the expression
[tex]-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}[/tex]
Group like terms
[tex]-4n\:+\:\frac{1}{3m}\:+\:4n\:-\frac{4}{5m}=-4n+4n+\frac{1}{3m}-\frac{4}{5m}[/tex]
Adding similar elements: -4n + 4n = 0
[tex]=\frac{1}{3m}-\frac{4}{5m}[/tex]
L.C.M of 3m and 5n will be: 15m
so adjusting fractions based on the LCM
[tex]=\frac{5}{15m}-\frac{12}{15m}[/tex]
Since, the denominators are equal, combine the fractions: [tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{5-12}{15m}[/tex]
[tex]=\frac{-7}{15m}[/tex]
[tex]=-\frac{7}{15m}[/tex]
Therefore, we conclude that:
[tex]-4n+\frac{1}{3m}+4n-\frac{4}{5m}=-\frac{7}{15m}[/tex]
-2 - 3k - 2 = -2k + 8 - k
Answers
Step-by-step explanation:
I'm not sure but that's what I'm getting 3k=2 jn simplest form
Someone help shawty out por favor
Answers
9514 1404 393
Answer:
AC/GI = BC/HI
Step-by-step explanation:
To make use of the SAS similarity theorem, an angle must be shown congruent, and the sides on either side of it must be shown proportional. Here, the congruent angles are ...
∠C ≅ ∠I
and the proportional sides are ...
AC/GI = BC/HI . . . . . . matches the last choice
Greatest number of the mortified 39,o83
Answers
Answer:
The answer is "83".
Step-by-step explanation:
Given numbers:
39
83
The greatest number is 83.
Which expressions
are
equivalent to 6 · 6 · 6 · 6 · 6?
Choose 2 answers:
Answers
Answer:
B and C
Step-by-step explanation:
My original answer got deleted because it was incomplete, so...
6 * 6 * 6 * 6 * 6 = 7776
A.) (6²)³ = 46656
B.) 2⁵ * 3⁵ = 7776
C.) 6⁶/6¹ = 7776
D.) 3² * 2³ = 72
Expression [tex]2^5.3^5[/tex] and [tex]\frac{6^6}{6^1}[/tex] are equivalent to 6.6.6.6.6. Option B and C are correct.
Expression Equivalent to 6.6.6.6.6. to be determine.
It is defined as solutions to mathematical problems.
Here, 6.6.6.6.6 = 6^5
For option a)
[tex](6^2)3 = 6^6 \neq 6^5[/tex]
For option b)
[tex]2^5.3^5=(2.3)^5=6^5[/tex]
For option c)
[tex]\frac{6^6}{6^1}=6^5[/tex]
For option d)
[tex]3^2.2^3 \neq 6^5\\[/tex]
Thus, expression [tex]2^5.3^5[/tex] and [tex]\frac{6^6}{6^1}[/tex] are equivalent to 6.6.6.6.6. Option B and C are correct.
Learn more about evaluation here:
brainly.com/question/12837686
#SPJ2
Find the measure of BEF
Answers
Answer:
the answer will be 140
Step-by-step explanation:
i am not sure
Answer:
B. 30
hope it helps.
and sorry, if it's wrong.
X + (x + 1) = 132
x(x + 1) = 132
2x = 132
x2 = 132
Answers
Answer:`211
123123
Step-by-step explanation:
- 1 5 x + 4 ≤ 39 Which values for x make this inequality TRUE?
Answers
Answer:
x ≥ 7/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Inequality
-15x + 4 ≤ 39
Step 2: Solve for x
Subtract 4 on both sides: -15x ≤ 35Divide -15 on both sides: x ≥ 7/3Here we see that any value x greater than or equal to 7/3 would work as a solution to the inequality.
You go out to dinner at the Olive Garden and the never ending pasta bowl gets you and your family a $62.75 total bill. What would be the amount of a 15% tip?
Answers listed:
$9.41
$10.75
$0.15
$15.00
Answers
Answer:
9.41
Step-by-step explanation:
3/6 is simplest form 12/24 1/2 1/3 Choose the pair of equivalent fractions. 1/2=2/4 3/6=15/24 1/3=3/6 Choose the pair of equivalent fractions. 6/12= 1/4 3/5=6/15 3/12=1/4 Choose the pair of equivalent fractions. 1/2= 12/18 5/3=1/3 1/2=5/10 Which is the correct mixed number for this improper fraction: 36/10 3 6/10 3 3/5 3 1/3 Which one is the correct mixed number for this improper fraction: 10/3 1 7/3 2 4/3 3 1/3 Which improper fraction matches this mixed number: 2 5/8 21/8 15/8 18/8 Which improper fraction matches this mixed number: 4 1/2 7/2 9/2 6/2
Answers
Answer:
1/2 is the simplest form of 3/6
1/2 and 2/4 are equivalent fractions
3/12 and 1/4 are equivalent fractions
1/2 and 5/10 are equivalent fractions
i am not completely sure about the improper fractions. sorry
Step-by-step explanation:
Answer:
3 5/6
Step-by-step explanation:
i took the test hope you pass
Solve the exponential equation for x 56^(3x-8)=1
Answers
Answer:
x=8 over 3
Step-by-step explanation:
Which are true?
(ANSWER QUICK)
1.All states have ways in which they are able to collect revenue. Some states collect a significant amount of revenue through sales tax, while others take in large
portions of revenue through other kinds of taxes, such as property taxes and state income taxes.
2. You will pay the same tax rate from state to state and for the same classes/types of goods.
3. 5 states do not levy a statewide sales tax: New Hampshire, Oregon, Montana, Alaska, and Delaware.
4. States, such as Pennsylvania, can impose a sales tax on goods and that tax rate can increase if local governments within the state also levarge a sales tax to
collect revenue.
Answers
Answers:
True. All states have a different approach to collecting revenue, which is money they spend on government programs. Most states have income taxes, but a state like Florida doesn't have income taxes. Instead they rely on sales taxes and property taxes. The general rule is that if one tax is missing, then chances are the other tax rates are higher to make up the lack of funds (that the missing taxes would provide).False. States vary in sales tax rates. For instance, Alabama's sales tax is 4% while Arkansas is 6.5%True. You can do an online search of "states without sales tax" to find sources to help confirm this. Keep in mind that while the state overall does not impose sales tax, this does not mean the city and/or county governments won't impose sales tax. Unfortunately it's hard to escape taxes and sales tax is just one of those inevitable things.True. As mentioned in problem 3, local governments (city and/or county) tend to impose taxes of their own on top of state sales taxes. Sales taxes fund state programs while local taxes fund local programs. Though some local government programs will use state or federal dollars.What is the slope of y=-4x-3y=−4x−3y, equals, minus, 4, x, minus, 3?
Answers
Answer:
-4
Step-by-step explanation:
Given:
[tex] y = -4x - 3 [/tex]
Required:
Slope of the line
SOLUTION:
The equation of the line, [tex] y = -4x - 3 [/tex], is given in the slope-intercept form, which is [tex] y = mx + b [/tex].
Where, m is the slope, and b is the y-intercept.
Therefore, the slope (m) of the line, [tex] y = -4x - 3 [/tex] is -4.
m = -4
Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. How many kilograms of fruit is a chef choose the best estimate
Answers
Answer: 21 1/8 kilogram
Step-by-step explanation:
From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:
= 3 3/4 + 7 1/4 + 10 1/8
Note that the Lowest Common Multiple is 8.
= 3 6/8 + 7 2/8 + 10 1/8
= 20 9/8
= 21 1/8 kilogram
(32 +1) + (5 + 7z) =
Help please
Answers
Answer: -5.428
Step-by-step explanation:
33 + 5 + 7z = 0
38 + 7z = 0
7z = -38
z = -38/7
Yo can somebody please help me with this?
Answers
2x2 + 3x - 5 = (2x + 5)(?)
please help whats the missing numbers
Answers
Answer:
(2x+5)(x-1)
Step-by-step explanation:
2x²+3x-5= 2x²+5x-2x-5=x(2x+5)-1(2x+5) = (2x+5)(x-1)
-4.32193257293 simplified?????
Answers
Answer:
-4.3
Step-by-step explanation:
:)). Have a blessed day
Only do 7. iii
I will mark you as brainliest.. I don't have time please fasttt
Answers
Answer:
Check my explanation
Step-by-step explanation:
(i) the area of the floor is 30m² (6m · 5m)
(ii) the perimeter of the floor is 22m (6m + 5m + 6m + 5m)
(iii) the area of the walls is:
24m² (for the 6m by 4m walls)
20m² (for the 5m by 4m walls)
88m² in total total
Meg and Tanner take a road trip together where they take turns driving. The ratio of the number of miles that Meg drives to the number of miles that Tanner drives is 4:3. If Meg drives 112 miles, what was the length of the trip?
Answers
Answer:
Step-by-step explanation:
[tex]\frac{Meg}{Tanner}[/tex] = [tex]\frac{4}{3}[/tex]
total dist. driven = dist. Meg drove + dist. Tanner drove
Meg = 112
Tanner = x or how far did Tanner drive?
[tex]\frac{112}{x}[/tex] = [tex]\frac{4}{3}[/tex]
[tex]\frac{3}{4}[/tex] * 112 = x
84 =x so Tanner drove 84 miles
total driven = 112 + 84
total driven = 196 :)
PLZ HURRY IM BEING TIMED ALSO WILL GIVE BRAIN
Oksana is working to solve the equation 1 3 x = −1 4 x - 10.
1. Add 1 4 x to both sides: 1 4 x + 1 3 x = −10
2. Find a common denominator: 3 12 x + 4 12 x = −10
3. Combine the terms: 7 12 x = −10
What should she do next?
Answers
Answer:
Then she has to divide by 712 into both sides
Step-by-step explanation:
Answer: hope this helps
Step-by-step explanation:
In triangle ACE, G is the centroid and BE = 18. Find BG and GE.
a BG=12, GE=6
b BG=4 1/2, GE=13 1/2
c BG=6, GE=12
d BG=9 GE=9
Answers
Answer: Choice C) BG = 6, GE = 12
=======================================================
Explanation:
The centroid G cuts the median segment BE such that BG is 1/3 of BE, and GE is 2/3 of BE.
So,
BG = (1/3)*BE = (1/3)*18 = 6
GE = (2/3)*BE = (2/3)*18 = 12
-------------
Put another way: GE is twice as long as BG
Let x = BG. This means 2x = GE
Leading to
BG+GE = BE
x+2x = 18
3x = 18
x = 18/3
x = 6 = BG
2x = 2*6 = 12 = GE