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
The length of AB = in ?
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:
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 :)
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!!!!
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
Which is bigger 6.8" or 6.52"
Answer:
6.8 is bigger than 6.52
Which equation represents a direct linear variation?
y=1x
y = x2
y = x + 2
y=12x
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
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]
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.
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
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
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!
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
In 35 divided by 5, 5 is the dividend, quotient, or divisor
Answer:
Divisor
Step-by-step explanation:
Simplify 6(1/4+5/2)-2
Answer:
14 1/2 or 29/2
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:
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]
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
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
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
The measure of angle
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 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]
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.
可二人十
Help solve this problem
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
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:
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.