a _____ function is a function that is defined on a sequence of intervals.

Answers

Answer 1

Answer: a piecewise function is a function that is defined on a sequence of intervals.

Step-by-step explanation:

A piecewise function is a function that is "different" at different intervals.

The function may behave linearly between x = 0 and x = 10, and after that point, the function may be constant for a while, then change again.

This type of functions can be written as:

f(x) = g(x) if x1 ≤ x ≤ x2

f(x) = h(x) if x2 ≤ x ≤ x3

f(x) = k(x) if x3 ≤ x ≤ x4

and so on, where g(x), h(x) and k(x) are different functions, and those functions only act on the givenintervals: (x1, x2), (x2, x3) and (x3, x4)


Related Questions

can someone help on 3? i got 455
5(p)13
1x+30
1 • x = 1 • 5 = 5
5 + 30 = 35
35(13) = 455

Answers

Answer:

Hey there!

p(x)=x+30

p(13)=13+30

p(13)=43

5(43)=215

Let me know if this helps :)

if the volume of a cube is 27 metre cube find one of side​

Answers

All the sides are 3 since volume is L*W*H you get 3*3*3 = 9*3 = 27

6 bags cost $16.50 How much is 3 bags

Answers

Answer:

3 bags cost $8.25

Step-by-step explanation:

Proportions:

6 bags  ⇔   $16.50

3 bags   ⇔   $B

B = 16.5*3/6

B = $8.25

Answer:

Step-by-step explanation:

8.25

The volume of a cube is 27 cubic meters. What is the length of one edge of the
cube?

Answers

Answer:

3 meters

Step-by-step explanation:

Step 1: State what is known

Volume of cube is 27 cubic meters

Important formula: Volume of cube = [tex]l^{3}[/tex]

Step 2: Input value into formula and solve for "l"

[tex]27=t^{3} \\\sqrt[3]27}=\sqrt[3]{t^{3} } \\3 = t[/tex]

Therefore the length of 1 edge of the cube is  meters

Length of each edge of cube is 3 metres.

What is the volume of cube?

The volume of a cube defines the number of cubic units, occupied by the cube completely. The volume of cube is found by multiplying the value of the edge with itself three times that is a³.

It is given that volume of cube is 27 cubic metres.

a³ = 27

a = ∛27

a = 3

Hence, length of each side of cube is 3 metres.

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Approximate the value of 119√

Answers

Answer:

√119 = 10.908712114636

Francesca graphs the function f(x) = 2x - 3, George graphs the function g(x) = 4x2 – 2 – 1, and Harold graphs the function h(x) = 9(f(x)). Which function does Harold graph?
A. Oh(x) = 1622 - 50x + 38
B. Oh(x) = 8x3 - 142++3
c. Oh(x) = 8r2 - 2x - 6
D. Oh(x) = 4x2 - 12x +9

Answers

Answer: A.  [tex]h(x)=16x^2-50x+38[/tex]

Step-by-step explanation:

Given: Francesca graphs the function  [tex]f(x) =2x - 3[/tex], George graphs the function [tex]g(x) = 4x^2 -x - 1[/tex].

Harold graphs the function [tex]h(x) = g(f(x))[/tex].

i.e. [tex]h(x)=g(2x - 3)[/tex]  [put value of f(x)]

[tex]=4(2x-3)^2-(2x-3)-1\\\\= 4((2x)^2-2(2x)(3)+3^2)-2x+3-1\ \ [(a-b)^2=a^2-2ab+b^2]\\\\= 4(4x^2-12x+9)-2x+2\\\\=16x^2-48x+36-2x+2\\\\=16x^2-50x+38[/tex]

So, Harold graph [tex]h(x)=16x^2-50x+38[/tex]

Hence, the correct option is A.  [tex]h(x)=16x^2-50x+38[/tex]

Plz help ASAP WILL MARK BRAINLIEST!!

Answers

Answer:

B

Step-by-step explanation:

It is B because every number, x, you plug in 5x-3, it is y.

Answer:

B

Step-by-step explanation:

If we plug in x = 5 because every chart has x = 5 as a different answer into the equation you will find it equals 22 and only B has 22 as the answer

which two continents are entirely located in the western hemisphere ​

Answers

Answer:

south america and north america

Step-by-step explanation:

Find the midpoint between the pair of points.
(7,-2) and (-4, 2)

(1.5, 0)
(12,0)
(0, 1.5)
137

Answers

Answer:

(1.5,0)

Step-by-step explanation:

midpoint coordinate (x+x1/2  , y+y1/2)

x+x1=7-4/2=3/2=1.5

y+y1/2 = 2-2/2=0

Dalila is mixing paste. For every 1 1/3 cups of water, she uses 2 1/2 cups of flour. How much flour does Dalila need for each cup of water? Show your work.

Answers

Answer:

Flour need for 1 cup of water = [tex]1\frac{7}{8}[/tex] cups

Step-by-step explanation:

Given:

Cups of water = [tex]1\frac{1}{3}[/tex] = 4/3

Cups of flour = [tex]2\frac{1}{2}[/tex] = 5/2

Find:

Flour need for 1 cup of water

Computation:

Flour need for 1 cup of water = Cups of flour / Cups of water

Flour need for 1 cup of water = (5/2) / (4/3)

Flour need for 1 cup of water = 15/8

Flour need for 1 cup of water = [tex]1\frac{7}{8}[/tex]

simplifiy the expression -|-5.(-7)|

Answers

Answer:

-5|-7|

Step-by-step explanation:

[tex]-\left|-5\left(-7\right)\right|\\\\\mathbf{missing\:stepId}=\\\\Refine\:Abs\:Checked\:3Eq,\:\\\\|ax|=a|x|,\:a\ge 0,\:-\left|-7\right|\\=-5\left|-7\right|[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{-35}}[/tex]

Step-by-step explanation:

[tex]\Rightarrow -|-5* (-7)|[/tex]

Multiplying the terms in the absolute value.

[tex]\Rightarrow -|35|[/tex]

The absolute value of a number is the distance between that number and zero.

The absolute value of 35 is 35.

[tex]\Rightarrow -35[/tex]

Help ASAP....anyone please

Answers

Answer:

a(n)= 4*n+1

a(n+1)=5+4*n

Step-by-step explanation:

The sequence   5, 9, 13, 17 is the ariphmetic progression where a(1)=5 is the first member of the progression and the diference is d=9-5=4 (the distance between the neighboring members)

For ariphmetic progression is known that n- term is equal to

a(n)=a(1)+d*(n-1)

So for our case

a(n)=5+4(n-1)=5+4n-4=4n+1

a(n+1)= 5+4(n+1-1)= 5+4n

the radius of a sphere is 7 meters what is the circle's area

Answers

Given :

[tex]\begin{lgathered}\bullet\:\:\textsf{Radius of circle = \textbf{7 meter}}\end{lgathered}[/tex]

[tex]\rule{130}1[/tex]

Digram :

[tex]\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{7 m}}\end{picture}[/tex]

[tex]\rule{130}1[/tex]

Solution :

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]

[tex]:\implies\sf Area\:of\:circle = \pi r^2 \\\\\\:\implies\sf Area\:of\:circle = \dfrac{22}{\cancel{7}} \times \cancel{7} \times 7\\\\\\:\implies\sf Area\:of\:circle = 22 \times 7\\\\\\:\implies\sf Area\:of\:circle = 154 m^{2}[/tex]

[tex]\therefore\:\underline{\textsf{Area of circle is \textbf{154}} \:\sf{m^2}}.[/tex]

[tex]\rule{170}{2}[/tex]

evaluate the expression for the given value of x.
2x-6;x=9

Answers

Answer:

12

Step-by-step explanation:

2x - 6 = ?

x = 9

You substitute x for 9: the value of x.

2(9) - 6 = ?

2 * 9 = 18

18 - 6 = 12

So your answer is 12.

Hope it helps : )

Brainliest pleaseeee

A new firehouse is being built equidistant from three other fire stations. Positioned on a grid, the current fire stations would be located at (3, 7), (−1, −1), and (−4, 8). What are the coordinates of the location where the new firehouse should be built? (PLEASE INCLUDE AN EXPLANATION)

Answers

Answer:

[tex](-\frac{3}{22},\frac{185}{22} )[/tex]

Step-by-step explanation:

Step 1: Find out what the question is asking

Because we want the point to be equidistant to all the vertices of the triangle formed we want the circumcenter of the triangle as it is equidistant from all of the vertices, a circumcenter is made from the perpendicular bisectors of the triangle

Step 2: Give the vertices variables

A = (-4,8)

B = (-1,-1)

C = (3,7)

Step 2: Find the Circumcenter

Find the mid point of side AB

MAB

[tex]=(\frac{-4+(-1)}{2} ,\frac{8+(-1)}{2} )\\=(\frac{3}{2},\frac{7}{2} )[/tex]

Find the slope of side AB

mAB

[tex]=\frac{y2-y1}{x2-x1} \\=\frac{8-(-1)}{-4-(-1)} \\=\frac{9}{-3}\\ =-3[/tex]

Solve for 'b'

[tex](\frac{7}{2})=(-3)(\frac{3}{2} ) +b\\\frac{7}{2}=-\frac{9}{2}+b\\\frac{7}{2}+ \frac{9}{2}=b\\b = 8[/tex]

Therefore the equation for line AB is:

y = -3x + 8

Find the midpoint of side AC

MAC

[tex]=(\frac{-4+(3)}{2} ,\frac{8+(7)}{2} )\\=(-\frac{1}{2},\frac{15}{2} )[/tex]

Find slope of AC

mAC

[tex]=\frac{y2-y1}{x2-x1} \\=\frac{8-7}{-4-3} \\=\frac{1}{-7}\\ =-\frac{1}{7}[/tex]

Solve for 'b'

[tex]y=mx+b\\\frac{15}{2} =-\frac{1}{7} (-\frac{1}{2} )+b\\\frac{15}{2} =-\frac{1}{14} +b\\\frac{1}{14}+\frac{15}{2} = b\\b=\frac{53}{7}[/tex]

Therefore the equation for line AC is:

y = [tex]-\frac{1}{7}[/tex]x+[tex]\frac{53}{7}[/tex]

Step 3: Find the P.O.I of the 2 lines

Set both of the equation equal to each other

[tex]3x + 8=-\frac{1}{7} x+\frac{53}{7} \\3x +\frac{1}{7} x=\frac{53}{7}-8\\\frac{22}{7} x=-\frac{3}{7} \\x=-\frac{3}{22}[/tex]

We now know 'x' and we substitute x into any equation to find 'y'

[tex]y = -3(-\frac{3}{22} ) + 8\\y = \frac{9}{22} + 8\\y = \frac{185}{22}[/tex]

Therefore the new firehouse should be built at [tex](-\frac{3}{22},\frac{185}{22} )[/tex]

how to solve sets in mathematics ​

Answers

Answer:

Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {},

For example, A = {1,2,3,4} is a set.

The perimeter of a patio is 64 feet. The width of the patio is 12 feet and the length of the patio is ( ) x + 6 feet. What is the length of the patio?

Answers

20 feet, 12+12+L+L=64 so you simplify and it becomes 24+L+L=64. Take away 24 from 64 and you get 40. 40 divided by 2 equals 20, and you can plug 20 into the L spots and it all works.

PLEASE HELP SUPER URGENT WILLING TO GIVE EXTRA POINTS !!!!! 4-8

Answers

A trinomial has 3 terms. A monomial has 1 term. 5xy^3 has a degree of 4 because x has a degree of 1 and y has a degree of 3; you add the two to get 4. For the third question, your expression is a third degree binomial.

Subm
What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4, -6)?

Answers

Answer:

y + 6 = - 2(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y + b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 2 and (a, b) = (4, - 6) , thus

y - (- 6) = - 2(x - 4) , that is

y + 6 = - 2(x - 4)

Araceli recorded the height (in centimeters) of a pea plant over a 10-day
period for a science experiment. Which equation is the best model of the
data?
30 pints please help

Answers

Answer:B. y=0.5x+0.3

Step-by-step explanation:a. p. e. x.

The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation thus option (B) is correct.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given points,

Let's take two-point (1,1)  and (2,1.5)

The slope associated with the above points will be as,

(1.5 - 1)/(2 - 1) = 0.5

Thus, the line will be y = 0.5x + 0.3

Hence "The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation".

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Need help on 22 on what to do

Answers

Answer:

4

Step-by-step explanation:

[tex]f(x)=-x-11\\\\\frac{f(9)}{f(-6)}\\\\ f(9)= -9-11\\- 20\\\\f(-6) = -(-6)-11\\= 6-11 = -5\\\\\\\frac{f(9)}{f(-6)}\\ \\= \frac{-20}{-5}\\ \\= 4[/tex]

Answer:

4

Step-by-step explanation:

This means that where ever you see x in the function; f(x)= -x-11, you replace it with 9 for the numerator and -6 for the Denominator

=-(9)-11/-(-6)-11

=-9-11÷6-11

=-20÷-5

=4

2 (01.05)
Write the equation of the line that passes through (3,-2) and has a slope of 4 in point-slope form. (2 poin

Answers

Answer:

  y +2 = 4(x -3)

Step-by-step explanation:

Point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For m = 4 and (h, k) = (3, -2), the equation is ...

  y +2 = 4(x -3) . . . . . matches the first choice

WILL GIVE BRAINLIEST
What did they do incorrectly
40 + 70 + ? = 360
110 + ? = 360
-110 -110
? = 250

Answers

In the equation 40+70+?=360, they are trying to find the last angle.

First they would add 40 and 70, which is 110.

So 110+?=360

360-110=?

360-110=250

Well this is wrong, because every angle in a triangle adds up to 180 degrees.

If you are adding up the angles in a quadrilateral, only then it adds up to 360 degrees.

So they did everything right, but they didn't use the right "total degrees"

This is what it was supposed to look like.

40+70+?=180

110+?=180

180-110=?

180-110=70

?=70

♡ Hope this helped! ♡

♡ Also thank you so much for 31 points. ♡

✿ Brainiest is appreciated! ✿

❀ 0ranges ❀

Given the function f(x) = -5x^2 + 2x + 9 find f(1) and f(2)

Answers

Answer:

i hope it will work

Step-by-step explanation:

f(x) = -5 x^2 + 2 x + 9

f(1)=-5(1)^2 +2(1) +9 = 6

similarly

f(2)=-5(2)^2 +2(2) +9  = -7

if its help-full then hit the stars and brain-list it

thanks

Write an equation for the nth term of the arithmetic sequence. Then find a50.
1/3 , 1/2 , 2/3 , 5/6

Answers

Step-by-step explanation:

Since the sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1/3

d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6

Substitute the values into the above formula

That's

[tex]A(n) = \frac{1}{3} + (n - 1) \frac{1}{6} \\ = \frac{1}{ 3} - \frac{1}{6} + \frac{1}{6} n [/tex]

So the nth term of the sequence is

[tex]A(n) = \frac{1}{6} + \frac{1}{6}n[/tex]

For a50 since we are finding the 50th term

n = 50

So we have

[tex]A(50) = \frac{1}{6} + \frac{1}{6} (50) \\ = \frac{1}{6} + \frac{25}{3} [/tex]

We have the final answer as

[tex]A(50) = \frac{17}{2} [/tex]

Hope this helps you

PLEASE HELP!!

When was production the lowest???

Answers

Answer:

B. 1995

Step-by-step explanation:

As per the graph the lowest production was in 1995, the production figure was around 203 billion dollars

So the answer choice is B. 1995

Joe's boat rental rents paddle boats for $8.00 and hour and the paddles rent for $5.00 for the day. If David has $45, what is the least amount of hours he could rent the paddle boat?

Answers

Answer:

Least: 1 hour

Maximum: 5 hours

Step-by-step explanation:

Given

Boat hourly rate = $8.00

Paddle daily rate = $5.00

Required

Determine the least hour, David could use the boat

First, we need to represent this as an inequality.

Since David has $45, then

[tex]\$8.00 * x + \$5.00 \leq \$45.00[/tex]

Where x represents the number of hours

Collect Like Terms

[tex]\$8.00 * x \leq \$45.00 - \$5.00[/tex]

[tex]\$8.00 * x \leq \$40.00[/tex]

Divide both sides by $8.00

[tex]x \leq \frac{\$40.00}{\$8.00}[/tex]

[tex]x \leq 5[/tex]

Hence, the least number of hour is 1 hour while the maximum is 5 hours

|-3+(-1)|= simply the expression

Answers

Answer:

4

Step-by-step explanation:

First, solve in the brackets,

-3+(-1)

-3-1

-4

Since it is absolute value, take the minus sign away,

therefore the answer is 4

What is the abscissa of origin?

Answers

Answer:

abscissa of origin is 0.

Step-by-step explanation:

The abscissa of a point is the signed measure of its projection on the primary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before negative; after: positive).

If a silver alloy that costs $6.50 an ounce
is going to be mixed with 30 ounces of a
silver alloy that costs $9 an ounce to
make a mixture that costs $8 an ounce,
how many ounces of the $6.50 an ounce
alloy must be used?

Answers

6.8 ounces would be used?

Answer:

20 is the correct answer

Step-by-step explanation:

you're welcome :)

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