Answer:
The answer is g(x) = |x - 3|
Step-by-step explanation:
Here we have a general problem of horizontal translations, we will see that the correct option is g(x) = |x - 3|
We know that the bucket was leaking for 6 hours, and then it was filled in 3 hours.
Then in the interval [-6, 0) the bucket was leaking
In the interval [0, 3] the bucket was being filled.
Now we want a transformation that represents the last 3 hours of leaking.
Also, remember that for a general function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the translation is to the left
If N is negative, the translation is to the right.
If we want to represent the last 3 hours of leaking (which happen for negative values of x) then we need to move the whole graph to the right.
So, if we define the function as:
g(x) = f(x - 3)
when we evaluate g(x) in zero we get:
g(0) = f(-3)
So this new function, at the time zero, starts representing the last 3 hours of leaking of the bucket.
Remembering that f(x) = |x|
We can see that the correct option is:
g(x) = f(x - 3) = |x - 3|
g(x) = |x - 3|
Below you can see a graph with a comparison of f(x) and g(x), where the green one is f(x) and the blue one g(x).
If you want to learn more, you can read:
https://brainly.com/question/13435754
PLEASE HELP YOU GUYS I WILL MAKE YOU BRAINLLESS
which statement is likely to be true ?
The answer here will be [tex]A[/tex].
Answer:
The is answer is A
Step-by-step explanation:
It is A because when you look at the graph it is past ten and it is more than or equal to 75%
Hopefully this helps you :)
pls mark brainlest ;)
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 1/2 miles. How many feet is that? Elena ran __________ feet.
Answer:
13,200 feet
Step-by-step explanation:
5,280 x 2 1/2 = 13,200
Answer:
13200
Step-by-step explanation:
5280 / 2 = 2640
5280+5280+2640=13200
2640 is half of 5280, which means it is the 1/2 part.
Danielle pays $24.95 for her roller skates. After that she pays $3.95 for each visit to the roller rink. What is the greatest number of visits she can afford if the total amount she spends cannot be more than $76.30?
PLEASE HELPPPPPP I HAVE BEEN STUCK ON THIS FOR HOURSSSSSS
how do i memorize the multiplication tables?
Answer:
First, use the table above to start putting the answers into your memory. Then use the Math Trainer - Multiplication to train your memory, it is specially designed to help you memorize the tables. Use it a few times a day for about 5 minutes each, and you will learn your tables.
Answer:
Well I learned the tables when I was 5 or 6 years old.
Step-by-step explanation:
My mum checked me regularly.
I remember that green sheet with numbers...
Train your memory and tell your brain that you CAN do it...
The main thing is, don't give up!
1. Multiply 5.4(-0.42)
a. -2.268
b. 1.428
C. -0.2268
d. -1.428
please god help me
Please help!!!!
Find the x-intercepts.
y =
2x2 + 5x + 2
x2 - 4x + 3
(-0.5, [?]), ([ ], [ ])
Answer:
Step-by-step explanation:
2x² + 5x + 2=0 (roots or zeros)
(2x+1)(x+2)=0
2x+1=0 ⇒ x=-1/2 or -0.5
x+2=0 ⇒ x=-2
(-0.5,-1/2)x² - 4x + 3=0
(x-3)(x-1)=0
x-3=0 ⇒ x=3
x-1=0 ⇒ x=1
(3,1)Help! Absolute value equations
Answer:
k = -5 , k= -2m= -21 , m=5Step-by-step explanation:
4.
[tex]3=\left|2k+7\right|\\\\\mathrm{Switch\:sides}\\\left|2k+7\right|=3\\\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\2k+7=-3\quad \mathrm{or}\quad \:2k+7=3\\\\2k+7=-3\quad :\quad k=-5\\\\2k+7=3\quad :\quad k=-2\\\\\mathrm{Combine\:Solutions:}\\k=-5\quad \mathrm{or}\quad \:k=-2[/tex]
6.
[tex]3\left|m+8\right|=39\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left|m+8\right|}{3}=\frac{39}{3}\\\\Simplify\\\left|m+8\right|=13\\\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\m+8=-13\quad \mathrm{or}\quad \:m+8=13\\\\m+8=-13\quad :\quad m=-21\\m+8=13\quad :\quad m=5\\\\\mathrm{Combine\:Solutions:}\\m=-21\quad \mathrm{or}\quad \:m=5[/tex]
Answer:
4. k = -2 or k = -5
6. m = 5 or m = -21
Step-by-step explanation:
Here is the rule:
To solve an absolute value equation, get the absolute value alone on one side. Then split it into two equations separated by the word or. Each equation has what is inside the absolute value on the left side, and on the right side, one equation has the right side of the absolute value equation, and the other equation has the negative of the right side of the absolute equation.
This is a long explanation which is easier to understand with an example.
Example:
|3x + 2| = 16
Split it into two equations separated by the word "or."
3x + 2 = 16 or 3x + 2 = -16
You see that the left side of the two equations is the inside of the absolute value. The right side of the two equations is positive and negative 16 as explained int he rule.
4.
3 = |2k + 7|
Switch sides.
|2k + 7| = 3
Follow the rule above and split the equation into two equations separated by the word "or."
2k + 7 = 3 or 2k + 7 = -3
2k = -4 or 2k = -10
k = -2 or k = -5
6.
3|m + 8| = 39
We want the absolute value alone on the left side, so divide both sides by 3.
|m + 8| = 13
Now apply the rule above to split the equation into two equations.
m + 8 = 13 or m + 8 = -13
m = 5 or m = -21
Please help answer this!!!! 1/3^2
Answer:
0.11111111111
Step-by-step explanation:
0.11111111111
Answer:
1/6
Step-by-step explanation:
1/3 times 1/3 is equal to 1/3^2
1 * 1/ 3*3
1/6
consider this right triangle with given measures what is the unknown length
Answer:
b = 9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 12² = 15²
b² + 144 = 225 ( subtract 144 from both sides )
b² = 81 ( take the square root of both sides )
b = [tex]\sqrt{81}[/tex] = 9
meaning of cube root
3x^2-15x-108 need answer ASAP
Step-by-step explanation:
3 x^2 - 15x - 108 = 0
divided by 3
x^2 - 5x - 36 = 0
factorice
(x= -9)(x= 4)=0
x=9 , x= -4
Answer:
-3 (x + 5x )(x + 36
Step-by-step explanation:
What operation should you use to solve -6x = -24?
Answer:
division
Step-by-step explanation:
-6x/-6 = -24/-6
x = 4
Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $10,000. The price of car A is $130,645. a. Assuming that you do not know which model is more expensive, write an absolute value inequality that describes this situation. Use x for the price of car B. b. What are the possibilities for the price of car B?
Part a.
x = price of car B
x-130645 = difference in price from car A to car B
If x is the larger price, then x-130645 will be positive. If x is the smaller price, then x-130645 is negative.
In short,
x-130645 > 0 when x > 130645x-130645 < 0 when x < 130645Using absolute value will give us
|x-130645| = positive difference in price
The result of an absolute value is never negative
We write the |x-130645| > 10000 to indicate that the difference in price is more than 10000 dollars.
-----------
Answer: | x-130645 | > 10000
================================================
Part b.
We'll use the idea that if |x| > k, then x < -k or x > k
to get the following
|x-130645| > 10000
x-130645 < -10000 or x-130645 > 10000
x < -10000+130645 or x > 10000+130645
x < 120645 or x > 140645
-----------
Answer:
Car B has a price less than $120,645
OR
Car B has a price greater than $140,645
So basically anything that is not between 120645 and 140645. The price has to be positive of course.
How do u solve this
Yes
Answer:
yes
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
13
8
Answer:
129.1 square units
Step-by-step explanation:
First, let's find the area of the rectangle. We can use the formula below.
[tex]a=lw[/tex]
where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
The length of the rectangle is 13 and the width is 8.
[tex]l=13\\w=8[/tex]
Substitute the values into the formula.
[tex]a=13*8[/tex]
[tex]a=104[/tex]
Next, let's find the area of the semicircle. We can use the formula below.
[tex]a=\frac{1}{2} *\pi r^2[/tex]
First, find the radius. The radius is half of the diameter, and the diameter is 8.
⇒ r= d/2
⇒ r= 8/2
⇒ r= 4
[tex]a=\frac{1}{2} *\pi (4)^2[/tex]
Evaluate the exponent.
⇒ 4² = 4*4 = 16
[tex]a=\frac{1}{2} *\pi *16[/tex]
Multiply pi and 16.
[tex]a=\frac{1}{2} *50.2654825[/tex]
Multiply.
[tex]a=25.1327412[/tex]
Finally, find the area of the figure.
Add the area of the rectangle (104) and the area of the semicircle (25.1327412)
[tex]104+25.1327412[/tex]
[tex]129.132741[/tex]
Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 1 in the tenth place.
[tex]129.1[/tex]
The area of the figure is about 129.1 (square units).
Simplify 〖3m〗^8 n^3÷(〖3m〗^8 n^3 )^0
[tex]6561m^{8}n^{3}[/tex]
3. Which of the following numbers is irrational?
a.
V256
b.
V100
C.
V111
d.
?
V625
Answer:
sorry
which of the following numbers are irrational☺
Plz help me out:( :(
Answer:
Look below
Step-by-step explanation:
To figure whether a line is perpendicular or parallel check the slopes
When a line is parallel the slopes are the same
When a line is perpendicular the slopes are negative reciprocals
40. Neither (They aren't the same nor a negative reciprocal)
41. Neither (When you put y on the left it isn't a reciprocal)
42. Parallel (The slopes are both -3/2)
To do 43-44 make sure that the slopes are the same then plug in the points to to find the y-intercept (make sure you solve for b)
43. y = -4x - 1
44. y = 2x + 1
For 45-46 do the same thing, but make sure you change the slope to a negative reciprocal since its perpendicular
45. y = -3/2x-11
46. y = 1/4x+4
If total sales in the ice cream category were $4.4 billion and Breyer’s sales were $650,417,792, what would be its market share? Round your answer to the tenth decimal place.
Answer:
14.8%
Step-by-step explanation:
The formula for market share = Total sales of the company at a particular period/ Total sales of the market × 100%
Total sales of the company = Breyer's sales = $650,417,792
Total sales of the market = Total sales in the ice cream category market = $4.4 billion
= $650,417,792/ $4,400,000,000, × 100
= 14.782222545%
Therefore, approximately to the nearest tenth, Breyer's market share is 14.8 %
PLEASE HELP ASAP!!!!!!!!!!!!
Answer:
C is the answer
Step-by-step explanation:
Answer:
Its the third bubble
Step-by-step explanation:
Hope I helped you.
-5 + T = -5
A(0
B(-10
C(-5
D(10
anyone know what’s the answer to this
Answer:
0 (A)
Step-by-step explanation:
just cancel equal terms on both size
Expand and simplify 3(5x + 2) +2(x-1)
Answer:
17x+4
Step-by-step explanation:
Just Multiply the Expression:
15x+6+2x-2
17x+4
Answer: 17x+4
Step-by-step explanation:
−(32 − 12) + 4 ÷ 2 please help
Answer:
-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
You have to follow the order of operations so first off, we'd do -(32-12) which is negative twenty.
Now we're left with;
-20 + 4/2
Here we're going to do division before we add so,
4/2 is 2
All that's left would be,
-20 + 2 which equals -18
Hope that helps, and have a great day!
What is the value of 3^5 times 3^3 divided by 3^4
Answer:
3^4
Step-by-step explanation:
One of the laws of exponents is that when you are multiplying exponents with the same base, then you add their powers. So,
3^5 x 3^3 = 3^8
Another law is when dividing exponents with the same base, you can subtract the powers. So,
3^8/3^4 = 3^4
Hope this helps!
which is the value of g(-5) if g(x)=3.4x-8
which of the following expressions is equal to -20
Answer:
no expression is equal to -20
please help <3 i don’t understand this question well i do but like idk how 2 word it
Answer:
Square
Step-by-step explanation:
6 * [tex]10^{8}[/tex] = 600,000,000
I would put a decimal or dot to the right of 6 and count 8 zeros places to the right.
6. 0 0 0 0 0 0 0 0.
Which of the following describes a situation where the total distance a person traveled is 0 feet from the starting point? A. Wyatt drove 25 miles west and then 10 miles in the opposite direction B. Wyatt drove 25 miles east and then 25 in the opposite direction C. Wyatt drove 25 miles north then 20 miles in the opposite direction D. Wyatt drove 25 miles south and then 19 miles in the opposite direction
Answer:
B. Wyatt drove 25 miles East and then 25 miles in the opposite direction
Step-by-step explanation:
This is because he drove East but then drove the same distance back, so he is basically cancelling out the distance he already traveled. Therefore, the traveled 0 feet from the starting point.
Answer:
B. Wyatt drove 25 miles east and then 25 in the opposite direction
Step-by-step explanation:
if you drive x amount of miles in one direction and then the oposite you return where you statred.
write 4687.02 in standard form
Answer:
[tex]4 .68702\times 10^{ 3} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.