Answer:
Step-by-step explanation:
Hello,
We know that
[tex]|x|=\begin{cases}x & \text{if } x\geq 0 \\ -x & \text{if } x<0 \end{cases}[/tex]
So we need to take into account two cases
Case 1 - [tex]x-3\geq 0<=> x\geq 3[/tex]
Then, |x-3|=x-3
||x-3|-2|=|x-3-2|=|x-5|
Either x-5 is positive and then |x-5|=x-5 and
[tex]|x-5|\leq 1<=>x-5\leq 1<=>x\leq 6[/tex]
Or x-5 is negative and then, |x-5|=-x+5
[tex]|x-5|\leq 1<=>-x+5\leq 1<=>4\leq x[/tex]
So the solution is [4;6]
Case 2 - [tex]x-3< 0<=> x< 3[/tex]
Then, |x-3|=-x+3
||x-3|-2|=|-x+3-2|=|-x+1|
Either -x+1 is positive and then |-x+1|=-x+1 and
[tex]|-x+1|\leq 1<=>-x+1\leq 1<=>0\leq x[/tex]
Or -x+1 is negative and then, |-x+1|=x-1
[tex]|-x+1|\leq 1<=>x-1\leq 1<=>x\leq 2[/tex]
So the solution is [0;2]
Conclusion
The solution is [0;2]∪[4;6]
Thanks
What multiplication fact can help you find 7/7
Answer:
The rule of Identity. X*1=X.
Divide both sides by x, and you get
X/X = 1
Four hundred seven million eighty two thousand in numbers
Answer:
407082000
Step-by-step explanation:
hope it helps
Pls mark as brainiest...........
Answer:
407,820,000.
Step-by-step explanation:
This is how four hundred seven million eighty two thousand is written a numerical value.
The length of AB = in ?
Which equation represents a direct linear variation?
y=1x
y = x2
y = x + 2
y=12x
What are the coordinates of the image of (- 4, 5) under the translation (x,y) (x-3,y+5)
(-4-3) (5+5) = -7,10
A car rental business charges a daily fee along with a one-time fixed charge to refuel the car when it is returned. The equation the business uses to calculate the total rental cost, c is c=15d+24c = 15 d + 24, where d represents the number of rental days. What is the daily increase in the total cost of the rental?
Answer:
$15
Step-by-step explanation:
Since we are given the actual equation, which is c = 15d + 24 (it is repeated in the question twice) we can see that the independent variable would be the number of days that the car is rented. Therefore we can simply plug in a value for this to calculate c. So below we can see the total cost for 1 day rent (d = 1 ) and 2 days rented (d = 2)
c = 15(1) + 24 = 39
c = 15(2) + 24 = 54
Now we can simply subtract these two values and to see the daily increase
54-39 = 15
Therefore we can see that the total price will increase by $15 for each day that it is rented.
What is 10% of 344?
Answer:
34.4
Step-by-step explanation:
10% is the same thing as 0.1 so 344 times 0.1 is 34.4
A percent (%) is equal to 1/100 (We actually don't call that 'per''cent' for no reason)
So 10% is actually 10 times % which is:
[tex]10\% \\ 10(\frac{1}{100}) \\ \frac{10}{100} \\ \frac{1}{10}[/tex]
If you get a calculator and calculate 1/10 the calculator should give 0.1
You might be taught that to get the decimal form from percent you just move the decimal point to the left twice (like 34% -----> .34) but if you do this, you are essentially dividing by 100 or multiplying by 1/100
now you know 10% is 0.1 the next thing to do is multiply it to 344.
[tex]344(\frac{1}{10}) \\ \frac{344}{10} \\ 34.4[/tex]
Answer:
34.4
Step-by-step explanation:
344 x 1/10 = 34.4
How can i solve to find AB?
Answer:
17
Step-by-step explanation:
AB + BC = AC.
Therefore,
[tex](3x+2)+(5x+7)=49[/tex]
Remove brackets:
[tex]3x+2+5x+7=49[/tex]
Add up terms:
[tex]8x+9=49[/tex]
Subtract 9 from both sides:
[tex]8x+9-9=49-9[/tex]
[tex]8x=40[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{40}{8}[/tex]
[tex]x=5[/tex]
----------
[tex]AB=3x+2=3(5)+2=15+2=17[/tex]
可二人十
Help solve this problem
Find the midpoint of points A(-3,9) and B(0, 1) graphically.
Answer:
[tex](-\frac{3}{2} , 5)[/tex]
Step-by-step explanation:
The graph is in the image
[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2}) \\\\Simplify\\\\(-\frac{3}{2} , 5)\\[/tex]
The measure of angle
The sum of three consecutive integers is 267. What is the largest integer?
Answer:
let integers be x,2x, 3x respectively
x+2x+3x= 267
6x= 267
x=267/6= 44.5
2x= 44.5*2= 89
3x= 44.5*3= 133.5
largest integer = 133.5
hope it helps
plz mark as brainliest
Dan drove his truck 2436 miles in six months at that rate how far will he drive in 12 months
Answer:
4,872 miles
Step-by-step explanation:
Step 1:
2,436 : 6
Step 2:
2,436 : 6 = x : 12
Step 3:
6x = 29,232
Answer:
x = 4,872
Hope This Helps :)
Kirk's goal was to save $300 for a trip. In the first week, Kirk saved $16 from his allowance and $54 from his job. He spent $5 for lunch one day and another $2 on the bus. The second week, Kirk saved $62 and another $41 but spent $2 for the bus and $4 for lunch. How much money did Kirk save after 2 weeks? Choose the correct answer below and fill in the answer box to complete your choice.
Answer:
160 dollars.
Step-by-step explanation:
16+54= 70
5+2=7
70-7=63
62+41=103
2+4=6
103-6=97
97+63=160
Hope this helps! ^^
Answer:
║Ф║Hello Person!║Ф║Your answer should be:
460300+16+54-5-2+62+41-2-4= 460
Step-by-step explanation:
Δ I hope this helped you! Δ
(I would appreciate a brainliest!)
║∅║Thanks for your time!║∅║
how to solve the equation 2= -9n +22-n
Answer:
n = 2
Step-by-step explanation:
2 - 22 = -9n + 22 - n - 22
-20 = -9n - n
-20 = -10n
-20/-10 = -10/-10n
-2 = -n
n = 2
Answer:
The value of n is 2.
Step-by-step explanation:
First, you have to collect like-terms :
[tex]2 = - 9n + 22 - n[/tex]
[tex]2 = - 10n + 22[/tex]
Next, you have to subtract 22 on both sides :
[tex]2 - 22 = - 10n + 22 - 22[/tex]
[tex] - 20 = - 10n[/tex]
Lastly, have to divide -10 on both sides :
[tex] - 10n = - 20[/tex]
[tex] - 10n \div - 10 = - 20 \div - 10[/tex]
[tex]n = 2[/tex]
What is a y-intercept of the continuous function in the table?
Answer:
5=y-intercept
Step-by-step explanation:
the y intercept point is when y has a number but x is 0 so we see what is y (f(x)) and it is 5
An object is translated by (x - 2; y- 6). If one point in the pre-image has the coordinates (-3, 7), what would be the
coordinates of its image?
(-5,1)
(-1, 13)
(-1,7)
(-9,5)
Answer:
(-5,1) would be the coordinates of its image
Answer:
(5,1)
Step-by-step explanation:
hope this helps
Use completing the square to solve for x in the equation (x + 7) (x minus 9) = 25.
Answer:
x=1+/- the square root of 89
Answer:
x=1+ (square root of 89)
Step-by-step explanation:
Which is bigger 6.8" or 6.52"
Answer:
6.8 is bigger than 6.52
PLEASE HELP !! Which is the equation of a line that has a slope of 1/2 and passes through point (2,-3)
Answer:
y = 1/2x - 4
Step-by-step explanation:
You would use point slope to solve this. y-y = m(x-x) with your numbers it would look like this ---> y+3 = 1/2(x-2). (I changed it to +3 because y- -3 = y+3. Two negatives make a positive.) Next you would use the distributive property and it would look like this ---> y+3 = 1/2x - 1 -----> -3 on both sides ------->
y = 1/2x - 4. Hope this helped!!!!
Suri solved the equation x^2=49 and found that x = 7. What error did Suri make? 15 points to answer
he was at the end of the day with u and I 6so was a little bit of a joke but I 6
Step-by-step explanation:
just like that I don't think you know that I have to do that again 261and but it 1was 1is 1and 1is 1and is not 774a
Simplify: 6 (4x - 5)
Answer:
=24x−30
Step-by-step explanation:
=(6)(4x+−5)
=(6)(4x)+(6)(−5)
=24x−30
Answer:
6 (4x - 5)
24x -30
i think question is not complete
Step-by-step explanation:
In 35 divided by 5, 5 is the dividend, quotient, or divisor
Answer:
Divisor
Step-by-step explanation:
what is an interest rate
Answer:
An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed
Choose the appropriate descriptor for the term gram. mass volume length area
Answer:
Mass is the appropriate term.
Step-by-step explanation:
Name (Templatel 09.09.2020 - Assignment 004 NAME Assignment 004 - Dividing Fra Divide Fraction by Fraction Divide. Write in simplest form. 2/3÷4/5
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5
2/3 × 5/4
10/12
5/6
Simplify 6(1/4+5/2)-2
Answer:
14 1/2 or 29/2
The gestation period of humans (266 days) is what percent longer than the gestation period of pigs (115 days).
Answer:
56.8%
Step-by-step explanation:
(115/266)* 100 = 43.2%
which means 115 is 43.2% of 266
so,
The gestation period for Humans is 56.8% (100 - 43.2) longer than of pigs
I hope this is correct!
1. Four times a number increased by 3 is -89. what is the correct equation?!? PLEASE HELP ME!!!
A. 3+= 89
C. 4n+3 = -89
B. 4n-3= -89
D.4+3n = -89
xy given x=3/5 and y= -3/4
Answer:
-9/20
Step-by-step explanation:
xy
Let x=3/5 and y= -3/4
3/5 * -3/4
-9/20
Answer: -9/20
Step-by-step explanation: xy means x times y, so all you need to do is substatute 3/5 in for x and -3/4 in for y multiply numerators times numerators and denominators times denominators.