On a piece of paper graph
f(x) = {-1 if -1 <= x < 0}
{ -2 if 0 <= x < 0}
{ -3 if 1 <= x < 2
Answers
In this question, a piece-wise function is asked to be graphed.
Piece-wise function:
A piece-wise function is a function that has different definitions, depending on the input.
In this question, the function has three different definitions:
For x between -1(inclusive) and 0, y takes a constant value of -1.
For x between 0(inclusive) and 1, y takes a constant value of -2.
For x between 1(inclusive) and 2, y takes a constant value of -3.
Additionally:
At the inclusive points, the interval is circled, and thus, the graphic is given at the end of this answer.
For another example of the graphic of a piece-wise function, you can check https://brainly.com/question/16855064
Answer:
Step-by-step explanation:
1. (1, 3); (2, 3)
2. (0, 0) (1, 0)
3. (-1, 1) (0,0)
Related Questions
HELP PLEASE ITS URGENT PLEASE
Answers
Answer: 17
Step-by-step explanation:
Using Pemdas, simplify the exponents, and then solve the multiplication and division inside the parentheses before subtracting. 10-9 = 1 so 1*7 =7
10 +7 is 17.
also i hope this helps and i hope this is not a test...
what is the difference between prime factors and odd numbers
Answers
Answer:
prime factors are factors of a number that are prime numbers, (meaning they can only be divided by 1 and itself), while odd numbers are numbers that are odd..
all odd numbers have prime factors but not all prime factors are odd numbers
What x value solves the equation? 3x – 5 = 1 x =
Answers
Answer:
x = 2
Step-by-step explanation:
3x - 5 = 1
Adding 5 to both sides gives us:
3x - 5 + 5 = 1 + 5
3x = 6
Dividing the equation by 3 gives us:
3x / 3 = 6 / 3
x = 2
Answer:
x = 2 Hfizfifsits96eotst9s
please help someone..
Answers
Answer:
x=(3e+2d)/(2g-ef)
Step-by-step explanation:
d=e(3+fx)/(2+gx)
or, 2d+2gx=3e+efx
or, 2gx-efx=3e+2d
or, x(2g-ef)=3e+2d
or, x=(3e+2d)/(2g-ef)
Answer:
x = (-2d + 3e) / (dg - fe)
Step-by-step explanation:
We solve it by using algebra.
1. Multiply each side by 2 + gx:
dgx + 2d = fxe + 3e
2. Subtract fxe on both sides:
dgx − fxe + 2d = 3e
3. Subtract 2d from both sides:
dgx − fxe = −2d + 3e
4. Factor out x:
x (dg − fe) = −2d + 3e
5. Divide dg - fe:
x = (-2d + 3e) / (dg - fe)
I hope this helped! :D
If I start a road trip with 10,425 miles on my auto meter and I end it with 23,840 miles showing how many miles was my trip
Answers
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
Which equation represents the line that passes through points (1, –5) and (3, –17)? y = negative 6 x + 1 y = 6 x + 1 y = negative 6 x minus 1 y = 6 x minus 1
Answers
Answer:
[see below]
Step-by-step explanation:
Finding the slope of the two points:
[tex]m=\frac{-17+5}{3-1}=\frac{-12}{2}=\boxed{-6}[/tex]
The slope is -6.
Using an incomplete slope-intercept form equation to find the y-intercept:
[tex]y=6x+b\\\\-5=6(1)+b\\\\-5=6+b\\\\-5-6=6-6+b\\\\\boxed{1=b}[/tex]
The equation for the line passing the points is [tex]y=-6x+1[/tex].
The equation in standard from would be [tex]6x+y=1[/tex].
tan(A+45°) - tan(A-45°) =2sec2A
Answers
Answer:
[tex] \tan(A + 45 \degree) - \tan(A - 45 \degree) \\ \\ = \frac{ \tan(A) + \tan(45 \degree) }{1 - \tan(A) \tan(45 \degree) } - \frac{ \tan(A) - \tan(45 \degree) }{1 + \tan(A) \tan(45 \degree) } \\ \\ [/tex]
but tan 45° is 1;
[tex] = \frac{ \tan(A) }{1 - \tan(A) } - \frac{ \tan(A) }{1 + \tan(A) } \\ \\ \frac{\tan(A) + { \tan }^{3} A + \tan(A) - { \tan}^{3} A}{1 - { \tan }^{2} A } \\ \\ = (\frac{2 \tan(A) }{1 - { \tan }^{2} A}) \\ \\ = \frac{2 \sin(A) }{ \cos(A) } \times { \sec }^{2} A \\ \\ = \frac{2}{ \cos(2A) } \\ \\ = 2 \sec(2A) [/tex]
Find the solution set of the inequality. -25 > -5(x + 2.5
Answers
Answer:
-25 > -5(x+2.5)
-25 > -5x -12.5
x > 5/2
please click thanks and mark brainliest if you like :)
Answer:
x < 2.5
Step-by-step explanation:
-25>-5(x-12.5)
-25 > -5x -12.5
add 12.5 to both sides
-25+12.5 > -5x -12.5+12.5
-12.5> -5x
divide both sides by -5
(-12.5/-5)> -5x/-5
x>2.5
since we divided by a negative,the inequality sign will flip over
x<2.5
find y.
picture attached
Answers
y = 2.97167
|-6+8| = simplify the expression
Answers
Answer:
2
Step-by-step explanation:
|-6+8|
Add/subtract the numbers: -6 + 8 = 2
= |2|
Apply the absolute value rule: |a| = a, a ≥ 0
= 2
which doesnt belong and why
Answers
Answer:
C
Step-by-step explanation:
They all have and addition and subtraction pattern in each cube, thank me later - PrObLeM OcCuReD
25 point please help I would really appreciate it :)))
Answers
Answer:
(a) 40
(b) 15% per week, to the nearest percent.
Step-by-step explanation:
Given:
old production,
P(w) = 230(1.1^w)
(a) At week 0, w=0, so
P(0) = 230(1.1^0) = 230
Difference (old - new) = 230-190 = 40
(b) about 15% per week
(c) from the 4th week on
approximate growth rate of new factory
N(w) = 190(R^w)
we know
w=0, N(0) = 190
w=7, N(7) = 505
so R=(505/190)^(1/7) = 1.1499 = 1.15 approx.
(c)
The old production tabulated:
w P(w) New
0 230 190
1 253 220
2 278 252
3 306 290
4 337 337
5 370 380
6 407 440
7 448 505
So we see that at the end of the 4th week, the two productions match, and new factory begins to exceed old production.
what are the next 3 terms in the sequence? 0.8,1,1.2,1.4,1.6....
Answers
Answer:
The next three terms are 1.8, 2.0, and 2.2.
Step-by-step explanation: We can subtract a number of the sequence minus the number right before that number. For example, 1-0.8=0.2 and 1.4-1.2=0.2. So, we have to add 0.2 from 1.6 to find the next term which is 1.8, then add 1.8+0.2 to get 2 as the number after that, then add 2+0.2=2.2 to get the final number. Som your answer is 1.8,2.0,2.2. Hope this helped.
A shipping container is in the shape of a right rectangular prism with a length of 9 feet, a width of 12 feet, and a height of 14.5 feet. The container is completely filled with contents that weigh, on average, 0.83 pounds per cubic foot. What is the weight of the contents in the container, to the nearest pound
Answers
Answer:
1,300 lb.
Step-by-step explanation:
V = 9 × 12 × 14.5 = 1566 ft³
1,566 × 0.83 = 1,299.78 ≈ 1,300 lb.
Santiago receives $179
per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is $500 more invested at 3% than at 2%. The amount invested at 4% is four times the amount invested at 3%. Find the amount invested at each rate.
Answers
9514 1404 393
Answer:
$400 at 2%$900 at 3%$3600 at 4%Step-by-step explanation:
Let x represent the amount invested at 3%. Then (x -500) is the amount invested at 2%, and 4x is the amount invested at 4%. The total interest income is ...
0.02(x -500) + 0.03x + 0.04(4x) = 179
0.21x -10 = 179 . . . . . simplify
0.21x = 189 . . . . . . . . add 10
x = 900 . . . . . . . . . . . divide by 0.21
x -500 = 400
4x = 3600
$400 is invested at 2%; $900 is invested at 3%, $3600 is invested at 4%.
Which statement is true about the solutions to x^2 - 1 = 24
A. There are two distinct irrational solutions.
B. There are two distinct rational solutions
C. There is only one rational solution
D. There is only one irrational solution
Answers
Answer:
B. There are two distinct rational solutions
Step-by-step explanation:
x^2 -1 = 24
Add 1 to each side
x^2 -1+1 = 24+1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
Answer:
B.
Step-by-step explanation:
x^2 - 1 = 24
x^2 = 25
Taking the square root of both sides:
x = -5, 5.
2 distinct rational solutions.
Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared?
Answers
Answer:
[tex]\dfrac{1}{6561}[/tex]
Step-by-step explanation:
Given the expression [tex][(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}[/tex], Using the laws of indices to simplify the expression. The following laws will be applicable;
[tex]a^m*a^n = a^{m+n}\\(a^m)^n = a^{mn}\\[/tex]
[tex]a^{-m} = 1/a^m[/tex]
Given [tex][(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}[/tex]
open the parenthesis
[tex]= (2^{-2})^{-3}(3^{4})^{-3}* (2^{-3})^2(3^2)^2\\\\= 2^{-2*-3}* 3^{4*-3} * 2^{-3*2} * 3^{2*2}\\\\= 2^6 * 3^{-12} * 2^{-6} * 3^4\\\\collecting \ like \ terms\\\\= 2^6 * 2^{-6} * 3^{-12} * 3^4\\\\= 2^{6-6} * 3^{-12+4}\\\\= 2^0 * 3^{-8}\\\\= 1 * \frac{1}{3^8}\\ \\= \frac{1}{6561}[/tex]
Can somebody please tell me if it’s right? i’ll mark u the brainliest
Answers
Answer:
Yes, you are correct.
Step-by-step explanation:
You are substituting the measure of angle x as the measure of angle a since they are congruent to each other.
1. In a right triangle, the lengths of the legs are a and b. Find the length of a hypotenuse, if: a=1, b=1; 2. In a right triangle, the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg, if: c=5, a=3;
Answers
Answer:
1. [tex]c = \sqrt{2}[/tex].
2. b = 4.
Step-by-step explanation:
To solve these two questions, keep the Pythagorean Theorem in mind: [tex]a^2 + b^2 = c^2[/tex]. Also remember that measurements cannot be negative, so we will disregard the negative answers.
1. a = 1, and b = 1. c = ?
[tex]1^2 + 1^2 = c^2[/tex]
[tex]1 + 1 = c^2\\[/tex]
[tex]c^2 = 1 + 1\\c^2 = 2\\\sqrt{c^2} = \sqrt{2}\\c = \sqrt{2}[/tex]
2. a = 3, c = 5. b = ?
[tex]3^2 + b^2 = 5^2\\9 + b^2 = 25\\b^2 = 16\\\sqrt{b^2} = \sqrt{16}\\b = 4[/tex]
Hope this helps!
Find the slope of the line that contains (-1, 9) and (9, 9).
Answers
Step-by-step explanation:
using the slope formula, we can see that the slope is 0
Which is 5.348 closer to, 5.3 or 5.4?
Answers
Answer:
5.3
Step-by-step explanation:
It is less than halfway
Answer:
5.3
Step-by-step explanation:
Of the 34 cars in a parking lot, 20 are green, 8 are gold, and the rest are black. What are
the odds against the next car leaving the lot being black?
A) 3:14
B) 3:28
C) 28:3
D) 14:3
Answers
Answer:c
Step-by-step explanation:
Sophie shares her cake with her friends. she gives Lionel a quarter and Helen half of the rest. what fraction remains for her
Answers
Answer:
one and a half quaters
Step-by-step explanation:
4/4 is a whole
The they take one 1/4
then that gives you 3/4
which is then 1.5/4 left for you
Answer:
3/8
Step-by-step explanation:
Hi! So what really helps me sometimes is to draw a circle and split it. I shaded 1/4 (Lionel's quarter) first. Now, there is 3/4 of the cake left. Helen has half of the rest, which means she has half of 3/4. 1/2 of 3/4 (which is basically 1/2 x 3/4) = 3/8. This means Helen has 3/8 of the cake. I then split my circle into eighths and shaded in 3. This left me with 3/8 of the cake left for Sophie. This means the fraction that remains for her is 3/8.
I hope this helped :)
Consider the equation 5(10)^(z/4)=32 Solve the equation for z, express the solution as a logarithm in base-10
Answers
Answer:
[tex]\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)[/tex].
Step-by-step explanation:
Multiply both sides by [tex](1/5)[/tex] and simplify:
[tex]\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32[/tex].
[tex]\displaystyle (10)^{z/4} = \frac{32}{5}[/tex].
Take the base-[tex]10[/tex] logarithm of both sides:
[tex]\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle z = \log_{10}\left(\frac{32}{5}\right)[/tex].
how do you find the area of an open cylinder... what is the Formula?? please help
Answers
Answer:
Cylinder has a formula
π×r²×h
so of it is open
π×r²×h - π×r²
Answer:
pls give brainiest
Step-by-step explanation:
A=2πr×h(r+h)
Convert 5π∕6 radians to degrees. Question 1 options: A) 25° B) 150° C) 150π° D) 1080°
Answers
Step-by-step explanation:
Hi there!
Given;
= 5(π\6)
We have;
π = 180°
Keeping value of π in the question;
= 5(180°/6)
= 5*30°
= 150°
Therefore, answer is option B.
Hope it helps!
Select the representations that do not change the location of the point (6, 170°). a. (-6, 350°) b. (-6, 190°) c. (-6, -10°) d. (6, -190°)
Answers
Answer:
b) (_6,198,) 1112334dccfsshh
Simplify.
3^2+ (9-8/2)
Answers
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------------
Answer: 14.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
First we calculate 3 to the power of 2 and get 9.
|
\/
9 + 9 - [tex]\frac{8}{2}[/tex] = 14.
Now we add 9 + 9 to get 18.
18 - [tex]\frac{8}{2}[/tex] = 14.
Then, we divide 8 by 2 to get 4.
18 - 4 = 14.
Then we subtract 4 from 18 to get.....You guessed it, 14!
Answer: 14
PEMDAS
P: Parentheses
E: Exponets
M: Multiplcaction
D: Divison
A: Addition
S: Subtraction
PEMDAS can also be known as Please Excuse My Dear Aunt Sally
P: [tex](9-8/2)[/tex]
E: [tex]3^2[/tex]
M: [tex]3*3[/tex]
D: [tex]8/2[/tex]
A: [tex]9+5[/tex]
S: [tex]9-8/2[/tex]
Multiply
E: [tex]3^2=3*3=9[/tex]
M: [tex]3*3=9[/tex]
Divide
D: [tex]8/2=4[/tex]
Subtract
S: [tex]9-4=5[/tex]
Add
A: [tex]9+5=14[/tex]
Answer: [tex]14[/tex]
The reason why we didn't use P to get our answer because it would of messed up the steps. So instead we separated it by dividing 8/2 in D and 9-4-5 for S.
A cook uses fifteen 2litter bottles of cooking oil in a week. If he decides to buy 5 litter tins of cooking oil instead how many tins of cooking oil will he use over a 10 week period if the rate at which he uses it remains unchanged.
Answers
Answer:
300 liters
Step-by-step explanation:
If he uses 15, 2 liter bottles in a week,
then 15 * 2 = 30 liters in a week.
If he uses the same rate in 10 weeks then,
10 * 30 = 300 liters
Plz helpppppp I need help fast !!!!!!!!!!
Answers
Answer:that s math
Step-by-step explanation:
Answer:
the choices for answers are technically incorrect...
the "correct" answer is [tex]m^6n^4[/tex]
the answer that matches that (which is not simplified) is:
"A": [tex]\frac{m^{7} n^{3} n}{m}[/tex]
Step-by-step explanation: