Answer:
Hi! A piecewise function is a function defined by multiple sub-functions, or pieces of different functions over different intervals. Piecewise definition is a way of expressing the function and is not actually integral to the function itself.
f(x) = |x - 2| is an absolute value function. As a piecewise function, it's written like this:
f(x) = {x - 2, x ≥ 2
{-x + 2, x < 2
Hope this helps! Have a great day.
A candy company is marketing a special assortment of caramels. The company wants to put 20 individual caramels into a rectangular box. Each caramel is a 1-inch cube. The caramel should completely fill the box.
Which arrangement of caramels requires the least cardboard?
Answer:
five by four
Step-by-step explanation:
Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x2 y² – 4x 2y 2 = 0
The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
How to determine the circle equation?The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Expand
x² + 8x + 16 + y² - 18y + 81 = 25
Collect like terms
x² + y² + 8x - 18y + 16 + 81 - 25 = 0
Evaluate
x² + y² + 8x - 18y + 72 = 0
Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
Read more about circle equations at:
https://brainly.com/question/1559324
a restaurant chains owners are trying to decide if they want to open up a franchise in your town to help them decide they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling method? Explain.
Answer:
It's biased, they are only sampling people who are eating out at the time. It leaves out those not currently at the restaurant.
Step-by-step explanation:
A box shaped like a rectangular prism has a height of 9 inches, a width of 5 inches, and a volume of 315 cubic inches. What is the length?
Answer:
7 in
Step-by-step explanation:
L * W * H = volume
L * 5 * 9 = 315
L = 315 / (5*9) = 7 in
I took picture off it
Answer:
F
Step-by-step explanation:
the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th
PLEASE HELP!!!!I’LL GIVE BRAINLIEST!
find the supplementary angle to an angle
that is 128.9º. explain your answer
Which type of data would be best displayed in a histogram?
According to the rational root theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x 20? 2x 1 2x – 1 3x 5 3x – 5
The factor of the polynomial 3x³ – 5x² – 12x + 20 is (x – 2), (x + 2), and (3x – 5). Then the correct option is D.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The polynomial is given below.
f(x) = 3x³ – 5x² – 12x + 20
Then the factor of the polynomial will be
f(x) = (x – 2)(x + 2)(3x – 5)
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer: D.) 3x-5
Step-by-step explanation:
I would know because I got it right on my unit test.
8. (8, 6); 5x - 5y = 10
7x - 14y = -28
Answer:
28
Step-by-step explanation:
because 28 is the last one
What is the inverse of f(x)=1/3x+2?
Answer:
[tex]f^{-1}[/tex] (x) = 3(x - 2)
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )
y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
3(y - 2) = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 3(x - 2)
Answer:
3(x-2)
Step-by-step explanation:
interchange value of x and y
Please help this is due in 10 minutes!!!
Answer:
3053.63 un³
Step-by-step explanation:
Hello!
The diameter is 18, so the radius is half of the diameter, or 9.
Using the volume of a sphere formula: [tex]\frac43\pi r^3[/tex]
Solve:
[tex]\frac43\pi r^3[/tex][tex]\frac43\pi *9^3[/tex][tex]\frac43*729\pi[/tex][tex]972\pi[/tex]3,053.6280592893 ≈ 3,053.63The volume is 3053.63 un³.
URGENT
Malia is solving a system of linear equations. She will multiply Equation 2 by a number so that the x terms will sum to 0 when the equations are combined. Which is Equation 2 after the multiplication?
Equation 1: 3x+2y=9
Equation 2: -x+3y=8
A) -3x+3y=8
B) -3x-9y=24
C) 3x+9y=24
D) 3x-9y=-24
The function f(t)=1900(1. 4)^t
t
represents the change in a quantity over t hours. What does the constant 1. 4 reveal about the rate of change of the quantity?
Answer:
Increasing by 40%
Step-by-step explanation:
This is a exponentional function. The format for this type of function is a(b)^x. So "a" is your initial value, and "b" is the rate. Now let's think to ourselves what times what is still equal to the same thing? That is 1. But in our question, we have 1.4. So we are increasing by 0.4, or 40%.
The radius of a semicircle is 1 meter. What is the semicircle's perimeter?
Answer:
5.1416
Step-by-step explanation:
L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]
I will give Brainlyist to the first person who replies and gets most of the answers correct.
A force of 61 N is applied to an area of 750 cm2.
Calculate the pressure in N/m2.
Give your answer to the nearest integer.
Answer:
813.33 N/m²
Step-by-step explanation:
Before finding the answer to this, let us convert 750cm² to m².
1 m ⇒ 100cm
1 m × 1 m ⇒ 100 cm × 100 cm
--------------
1 m² ⇒ 10000 cm²
x ⇒ 750 cm²
Let us use cross multiplication to find the value of x.
10000x = 750 × 1
10000x = 750
x = 750/10000
x = 0.075
∴ 750 cm² = 0.075 m²
And now let us find the pressure.
Pressure = Force ÷ Area
Pressure = 61 N ÷ 0.075 m²
Pressure = 813.33 N/ m²
how mant cubic centimeters of air would be needed to completely fill a soccer ball with a radius of 15cm?
Answer:
14137.17 cubic cm
Step-by-step explanation:
I can see that the radius here is 15cm, and when it says air, I am going to guess we are looking for the volume. We do the equation in order to get the volume, and get the answer 14137.17cm.
IMPORTANT : When it says air- you have to realize it's VOLUME.
radius= 15 cm
to find:the amount of cubic centimeters of air needed to fill the soccer ball.
solution:[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{3}{4} \times \pi \times {(15)}^{2} [/tex]
[tex]v = 14137.17 {cm}^{3} [/tex]
therefore, the soccer ball can hold 14137.17 cubic centimeters of air.
i cannot do this question and i am stuck
Answer:
-57
Step-by-step explanation:
[tex]log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57[/tex]
What is the volume, in cubic inches, of a rectangular prism with a height of 19 inches,
a width of 8 inches, and a length of 17 inches?
Answer: 2584
Step-by-step explanation: Length × height × width
A series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number? 42.5 190.0 465.0 740.0
The first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190
Sequence and seriesSeries are sum of sequences
The formula for calculating the last term of a sequence is expressed as:
Sn = n/2(a+l)
Given the following
Sn = 4185
n = 18
l = 275
Required
first term "a"
Substitute
4185 = 18/2(a + 275)
4185 = 9(a + 275)
465 = a+ 275
a = 465 - 275
a = 190
Hence the first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190
Learn more on series here; https://brainly.com/question/7882626
Will give brainlist
Identify the multiplication problem that matches the model.
4 x 3/4
4 x 1/3
4 x 3
3 x 3/4
4 x 3/4 Sure hope this helps you
If m∠2 = 80°, what is m∠4?
Answer:
80 degrees
Step-by-step explanation:
they are vertical pirs (across from each other) so they have the same measure
3 consecutive integers have a sum of 120. What is the least of these integers
Answer:
39
Step-by-step explanation:
39 + 40 + 41 = 120
39 is the least of these integers
I need help with this problem if anyone wants to help me please do
Answer:
11
Step-by-step explanation:
hope this helps loves x
Which equation of a line is parallel to y=4/5x-1?
a. y=4/5x+2
b. y= -5/4x-1
c. y= -4/5x+3
d. y=5/4x-6
Answer:
a
Step-by-step explanation:
you need to have same kx for lines to be parallel.
y=kx+l
l is where the line is going through ordinate and it doesn't matter, but the kx has to be the same
How do you calculate scale factor of the sides of figures
Verify that the figures are similar. Similar figures, or shapes, are ones in which the angles are congruent, and the side lengths are in proportion.
Find a corresponding side length on each figure. You may need to rotate or flip the figure so that the two shapes align and you can identify the ...
Set up a ratio. For each pair of similar figures, there are two scale factors: one you use when scaling up, and one you use when scaling down. If ...
Simplify the ratio. The simplified ratio, or fraction, will give you your scale factor. If you are scaling down, your scale factor will be a proper answer
Will is five years more than twice Maria's age. In five years the sum
of their ages will be sixty. How old is Will now?
Answer:
Will's Age : 35
Maria's Age : 15
Step-by-step explanation:
Will is five years more than twice Maria's age.
15 doubled is 30 plus 5 is 35.
In five years, when Will will be 40 and Maria will be 20 years, their ages will add up to 60.
2x2-11x/2-1+y/z
if x = 3, y = 7, and z = 2?
Answer:
4
Step-by-step explanation:
subsitute the value of the variable into the expression and simplify.
What is the value of the expression below?
( - 4/9 ) x (4 1/3 )
Answer:
[tex]-\frac{52}{27}[/tex]
Step-by-step explanation:
Let's first convert everything to improper fractions as it becomes easier to compute with.
[tex]4 \frac{1}{3} = \frac{4*3+1}{3} =\frac{13}{3}[/tex]
Now we can put that back into the expression:
[tex]-\frac{4}{9} * \frac{13}{3}[/tex]
Nothing cancels out so the answer we get is:
[tex]-\frac{52}{27}[/tex]
Which is the expression is equivalent to 27/125
a (3/5)3
b 3/5'3
c (3/4)2
d(3'3/5'5)
Answer:
a
Step-by-step explanation:
(3/5)^3= 27/125
So a is the correct answer
Answer:
Answer option D.
I'm assuming you meant (3/5)'3 for option A.(3/5)^3 also known as (3/5)'3 in your case.If we simplify the expression (3/5)^3 we can see that ^3 means you cube both the numerator and the denominator since 3/5 is in parenthesis.
Numerator:
3 cubed(3^3) would result in
= 9
Denominator:
5 cubed(5^3) would result in
= 125
Hence, you'll get 9/125.
So your answer is;
A, (3/5)'3