A phone company offers a monthly cellular
phone plan for $25. The plan includes 250
anytime minutes, and charges $0.20 per minute
above 250 min. Write a piecewise-defined
function for C(x), the cost for using x minutes in
a month.
The function will be given as C(x) = 25 + 0.2(x) here x is in minutes.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Given that:-
A phone company offers a monthly cellular phone plan for $25. The plan includes 250 anytime minutes and charges $0.20 per minute above 250 min.The cost of the 250 minutes is $25 and if the time extends from 250 minutes then the function will be expressed in the form of.
C(x) = 25 + 0.2 (x)
Here C(x) is the total cost and the x is in minutes.
Hence the function will be given as C(x) = 25 + 0.2(x) here x is in minutes.
To know more about function follow
https://brainly.com/question/2833285
#SPJ1
Point P has coordinates P(-4, 3).
What are the coordinates of the image P" after I translate point P: 1
unit to the right 7 units down and then I reflect its image across the
y-axis?
The x-coordinate of P" is:
The y-coordinate of P" is:
Help asap please I need it
Answer: 8x+70
Step-by-step explanation:
[tex]\sum^{5}_{n=2} (2x+5n)=(2x+10)+(2x+15)+(2x+20)+(2x+25)=\boxed{8x+70}[/tex]
what is slope in algebra 1?
Answer:
rise over run aka a measure of its steepness
Step-by-step explanation:
V
On March 8, 2017, one U.S. dollar was worth 66.79 Indian rupees.
(a) On that date, how many dollars was 110.66 rupees worth?
Round your answer to the nearest hundredth of a dollar.
dollars
(b) On that date, how many rupees was 125.29 dollars worth?
Round your answer to the nearest hundredth of a rupee.
I need help with this problem.
Answer:
a=1.66
b=8368.12
Step-by-step explanation:
hope it helps
can u welp me?
tnx in advance
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
Answer:
Figure Number 1.
Area of smaller square = [tex]\tt\underline{5cm}[/tex][tex]\tt{\times 5cm = }[/tex][tex]\tt\underline\green{25}[/tex] [tex]\tt{sq.cm}[/tex]
Area of bigger square = [tex]\tt{15cm \times}[/tex][tex]\tt\underline{ 15cm }[/tex][tex]\tt{=}[/tex] [tex]\tt\underline\green{225}[/tex] [tex]\tt{sq.cm}[/tex]
Total Area = [tex]\tt\underline\green{25sq.cm}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{225sq.cm}[/tex] [tex]\tt{=}[/tex] [tex]\normalsize \underline{\boxed{\tt \red{250}}}[/tex] [tex]\tt\underline{sq.cm}[/tex]
[tex]\\[/tex]
Figure Number 2.Area of square A = [tex]\tt\underline{7m}[/tex][tex]\tt{\times}[/tex][tex]\tt\underline{7m}[/tex][tex]\tt{=}[/tex][tex]\tt\green{49}[/tex] [tex]\tt{sq.m}[/tex]
Area of square B = [tex]\tt{7m}[/tex][tex]\tt{\times}[/tex][tex]\tt{7m}[/tex][tex]\tt{=}[/tex][tex]\tt\underline\green{49}[/tex] [tex]\tt{sq.m}[/tex]
Area of square B = [tex]\tt{14m}[/tex][tex]\tt{\times}[/tex][tex]\tt\underline{14m}[/tex][tex]\tt{=}[/tex][tex]\tt\green{196}[/tex] [tex]\tt{sq.m}[/tex]
Total Area = [tex]\tt\underline\green{49m}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{49m}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{196}[/tex] [tex]\tt{=}[/tex][tex] \normalsize \underline{\boxed{\tt \red{294}}}[/tex][tex]\tt{sq.m}[/tex]
====================================
To find the area of square use this formula [tex]\large\tt{A = s \times s}[/tex]. Means side of the square multiply to the same side of the square
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
#CarryOnLearning
૮₍´˶• . • ⑅ ₎ა
Out of 2,000 high school seniors, 191 were enrolled into Honor Society.What percentage of the entire group of 2,000 seniors were in Honor Society?PLEASE EXPLAIN
A.0.955%
B.1.91%
C.9.55%
D.19.1%
Divide number in honor society by total students:
191/2000 = 0.0955
Multiply by 100 to get percent:
0.0955 x 100 = 9.55%
Answer is C. 9.55%
Given a function described by the table below, what is y when x is 5?
XY
26
48
59
612
Answer:
y = x + 4
when x is 5, y is 9
Step-by-step explanation:
the pattern from the table is that the y value is 4 more than the x value, so the equation would be y = x + 4.
if you plug in x = 5, then this would be y = 5 + 4 = 9
!!WILL GIVE BRAINLIES PLS HELP!!!
Which inequality in vertex form represents the region less than or equal to the quadratic function with vertex (-6,
12) and includes the point (-9, 15) on the boundary?
Answer:
is B
Step-by-step explanation:
this is the best possible answer
The Research Triangle in North Carolina is formed by Raleigh, Durham, and Chapel Hill. Is this triangle a right triangle? Explain.
The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.
Is the triangle a right triangle?
In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where a = length
b = base
c = hypotenuse
12 ² + 24²
= 144 + 576 = 720
29² = 841
To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
#SPJ1
Need the answer for number 3 please!!!!
Answer:
Perimeter = 2(l + b)
= 2(x + 5x³ + 4 - x²)
= 2x + 10x³ + 8 - 2x²
= 10x³ - 2x² + 2x + 8
Hence, ur answer is the first option.
Answer:
A.
Step-by-step explanation:
L = x
W = 5x³ + 4 - x²
P = 2L + 2W
P(x) = 2x + 2(5x³ + 4 - x²) = 2x + 10x³ + 8 - 2x²
P(x) 10x³ - 2x² + 2x + 8
L = x
W = 5x³ + 4 - x²
P= 2L + 2W
P(x) = 2x + 2(5x³ + 4 - x²) = 2x + 10x³ + 8 - 2x²
= P(x) 10x³ - 2x² + 2x + 8
What is the slope of the line y = 3? O A. 3 O B. 1 O C. O O D. Undefined
Answer:
C
Step-by-step explanation:
The slope of a horizontal line, such as that of y= 3, is equal to 0.
This can be proved using the slope formula.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Let's choose 2 points on the line y= 3:
(0, 3) and (2, 3)
Slope
[tex] = \frac{3 - 3}{2 - 0} [/tex]
[tex] = \frac{0}{2} [/tex]
= 0
Thus, the line has a slope of zero.
On the other hand, vertical lines have an undefined slope.
Additional:
To learn more about horizontal lines and their slopes, do check out the following!
https://brainly.com/question/12528289The base of a triangle is 5 cm greater than the
height. The area is 33 cm². Find the height and
the length of the base.
Answer:
height= 13.2 cm
Step-by-step explanation:
h = 2 × A/b
h = 2 × 33 /5
= 13.2
8. Mrs. Reyes has 4 mangoes, 5 guavas, and 2 bananas in her basket. What is the probability that one can pick a guava?
A. 2 out of 11 or 2/11
B. 5 out of 11 or 5/11
C. 4 out of 11 or 4/11
9. What is the probability of choosing a blue paper if there are 3 red papers and 4 blue papers in the box?
A. 4 out of 7 or 4/7
B. 3 out of 7 or 3/7
C. 0 out of 7 or zero probability
10. In the numbers 2,2,2,5,5,2,3 What is the probability of getting 2?
A. 2/7
B. 3/7
C. 4/7
8) 5 + 4 + 2 = 11
Since there are 5 guavas, the correct answer is B. 5/11
9) 3 + 4 = 7
Since there are 4 blue papers, the correct answer is A. 4/7
10) Count all of the numbers and add them. There are 4 twos, 2 fives, and 1 three:
4 + 2 + 1 = 7
Since there are 4 twos, the correct answer is C. 4/7
The frequency table shows the results of a survey asking people how many
hours they spend online per week. On a piece of paper, draw a histogram to
represent the data. Then determine which answer choice matches the
histogram you drew.
Hours online Frequency
5
8
10
9
7
0-3
4-7
8-11
12-15
16-19
Based on the frequency table given, The option that closely matches the histogram I drew is option C but the last one suppose to be 7 and not 6.
What is the histogram about?Hours online Frequency
5 0-3
8 4-7
10 8-11
9 12-15
7 16-19
Note that in the image attached, you can see how the Hours online were said to be matched with the Frequency.
So since option A and B was not shown to see which matches the option, i can say option c is closest but if look at my own image, you can use it to find the right one.
Learn more about frequency from
https://brainly.com/question/254161
#SPJ1
I need help question 4
Answer:
-51
Step-by-step explanation:
If the limits are reversed, then place a negative sign in front of the integral.
[tex]\int\limits^a_bf ({x}) \, dx =-\int\limits^b_a f({x}) \, dx[/tex]
[tex]\int\limits^a_3 f({x}) \, dx = 51\\[/tex] where [tex]\alpha =10\\[/tex]
[tex]\int\limits^3_\alpha f( {x}) \, dx =-51[/tex] where[tex]\alpha =10[/tex]
I need helpppppp asap
Answer:
graph A
Step-by-step explanation:
When looking at a graph, there are two different axes. The vertical values--marked by the center up/down line--are "y-values"; and this is called the "y-axis"
The horizontal values--marked by the left/right line--are "x-values"; and this is called the "x-axis"
For the x-axis, values to the left side of the origin (the place where the y-axis and x-axis intercept) are smaller than 0--they are all negative values.
Values to the right side of the origin are positive--greater than 0.
For the y-axis, positive numbers are on the top half [once again, the midpoint / 0 is where the two lines are both = to 0; the origin] and negative numbers are on the bottom half.
Ordered pairs (points) are written as (x,y)
(x-value, y-value)
We are looking for a graph that decreases (along the y-axis), hits a point below the origin, and goes flat/stays constant.
When a graph is decreasing (note: we read graphs from left to right), the line of the graph is slanted downwards (it looks like a line going down).
So, if we look at the graphs, we can see Graph A descending, crossing the y-axis {crossing the middle line /vertical line / y-axis} at a value of -7, and then staying constant (it is no longer increasing or decreasing because the y-values stay the same)
hope this helps!!
A graph displays point A (5, 3, 4) and point B (−4, 2, 6). Calculate the approximate distance each point is from the origin. Round to the nearest tenth. Which point is farther from the origin, and by how much?
Distance from the origin to the points ≈ 0.41.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
Point A (5, 3, 4) and point B (−4, 2, 6) are located away from the origin (0,0,0), and the points from the origin to this points are expressed as OB - OA where;
Let OB is the distance from the origin to the point B
Let OA is the distance from the origin to the point A
Using the formula for calculating the distance between two points;
OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²
OA = √(4-0)²+(3-0)²+(5-0)²
OA = √(16)+(9)+(25)
OA = √50
OA = 7.071
Similarly;
OB = √(6-0)²+(2-0)²+(-4-0)²
OB = √(6)²+(2)²+(-4)²
OB = √36+4+16
OB = √56
OB = 7.4833
Distance from the origin to the points = 7.4833 - 7.071= 0.4123
Distance from the origin to the points ≈ 0.41
Learn more about distance between two points here:
brainly.com/question/16410393
#SPJ1
Which of the following could represent the
interval (5, 100]? Select two that apply.
Answer:
5 < x ≤ 100
(this is inequality form)
{x| 5 < x ≤ 100}
(this is set notation form)
(options B and C)
Step-by-step explanation:
In interval notation,
( or ) : does not include value
[ or ] : does include value
{and remember:
< or > : does not include value
≤ or ≥ : does include value}
when we write something in interval notation, the range of values is from (lowest value, highest value)
for this equation, we know that we are looking for : (5, 100]
which means that the range of numbers goes from
5 (does not include 5) to 100 [does include 100]
so, x > 5 (not equal to); x ≤ 100
we can combine these two concepts: 5 < x ≤ 100
(inequality form)
{when {x | ...} is present, it means the same thing as without it, so
{x| 5 < x ≤ 100} is also correct
(set notation)
hope this helps!!
Answer:
B and C
Step-by-step explanation:
from interval notation we are including 100 but not 5,
x > 5 and x ≤ 100
so B and C are correct
Suppose that the number of a certain type of computer that can be sold when its price is P (in dollars) is given by a linear function N(P).
(a) Determine N(P) if N(1000) = 10000 and N(1700) = 6500. (Use symbolic notation and fractions where needed.)
N(P) =?
(b) Select the statement that gives the slope of the graph of N(P), including units and describes what the slope represents.
●5 computers per dollar
● -1/5computers per dollar
● -5 computers per dollar
● -5 dollars per computer
(c) What is the change N in the number of computers sold if the price is increased by AP = 110 dollars? (Give your answer as a whole number.)
AN = ?
Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line?a rise of 6 and a run of 8a rise of 8 and a run of 6a rise of 6 and a run of 5a rise of 5 and a run of 6
Step-by-step explanation:
if someone could please help that would be great!
Please graph it!!!
The graph is attached with the answer.
What are Piecewise Function ?When function has different behaviour at different intervals , then it is called a piecewise function.
It is given that
f(x) = - 3x -5 at x ≤ -1
f(x) = -2x +3 at -1 <x<4
f(x) = 2 at x ≥ 4
All the piecewise Function are a straight line.
The table for functions is
f(x) = 3x -5
-1 -8
-2 -11
-3 -14
f(x) = -2x +3
0 3
1 1
2 -1
3 -3
f(x) = 2
4 2
5 2
6 2
7 2
The graph is attached with the answer.
To know more about Piecewise Function
https://brainly.com/question/12561612
#SPJ1
I will give lots of points please help
Step-by-step explanation:
PART 1:
on the graph you can make a triangle at any point and with any angle measures.
i recommend a smaller right triangle to be easiest.
i recommend the points (0,3) A (3,0) B and (0,0) C
∆ABC angle measurements:
m∠CAB=45°
m∠ABC=45°
m∠ACB=90°
PART 2:
(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right
m∠FDE=45°
m∠DEF=45°
to find the missing value of the angle EFD we will use subtraction and addition
180-(45+45)
180-90
90
therefore, the m∠EFD=90°
PART 3:
both the angle measures and the shapes of the triangles are the same
PART 4:
i used a 1:1 ratio
sorry for the wait :)
There are 250 students in a school and there are 120 more boys than girls. What percentage
of the students are boys?
What is true of an equilateral triangle? Two of its side lengths are equal. All its side lengths are equal. None of its side lengths are equal. None of its interior angles are equal. What is true of an equilateral triangle ? Two of its side lengths are equal . All its side lengths are equal . None of its side lengths are equal . None of its interior angles are equal .
Answer:
All its side lengths are equal
(and all the agle of 60°)
Step-by-step explanation:
What is true of an equilateral triangle? Two of its side lengths are equal. All its side lengths are equal. None of its side lengths are equal. None of its interior angles are equal. What is true of an equilateral triangle ? Two of its side lengths are equal . All its side lengths are equal . None of its side lengths are equal . None of its interior angles are equal .
100 points (08 03)Consider the following set of equations: Equation A: y = 2x + 4 Equation B: y = 3x + 1 Which of the following is a step that can be used to find the solution to the set of equations? 08 03 ) Consider the following set of equations : Equation A : y = 2x + 4 Equation B : y = 3x + 1 Which of the following is a step that can be used to find the solution to the set of equations ?
Answer:the equations are
y = x + 4 and y = 3x + 6
Now we can use substitution method to solve the system
So we can substitute value of y from one equation into other
So we get
x+4 = 3x+6
So Option B is correct
Step-by-step explanation:
Answer:
2x + 4 = 3x + 1
Explanation:
Equation A: y = 2x + 4
Equation B: y = 3x + 1
Simultaneously solving :
⇒ y = y
⇒ 2x + 4 = 3x + 1
⇒ 2x - 3x = 1 - 4
⇒ -x = -3
⇒ x = 3
Solve for y :
⇒ y = 2x + 4
⇒ y = 2(3) + 4
⇒ y = 10
Determine whether it is a function
Answer:
Relation 1: FunctionRelation 2: FunctionStep-by-step explanation:
A function is defined so that for each input, there is no more than one output.
Question
Find the distance between the points (-5, 8) and (-3,0).
To calculate the distance between two points we use this formula:
[tex] \boxed{ \boxed{{d \: = \: \sqrt{(x_2 \: - \: x_1)^{2} \: + \: (y_2 \: - \: y_1)^{2} } }}}[/tex]
______________________We organize the values:x₁ = -5 x₂ = -3 y₁ = 8 y₂ = 0______________________
We apply the values already obtained to the formula to get the distance:
[tex]d \: = \: \sqrt{( - 3 \: - \:( - 5))^{2} \: + \: (0 \: - \: 8)^{2} }[/tex]
[tex]d \: = \: \sqrt{( - 3 \: - \: ( - 5))^{2} \: + \: ( - 8)^{2} }[/tex]
[tex]d \: = \: \sqrt{( - 3 \: + \: 5) ^{2} \: + \: 64 } [/tex]
[tex]d \: = \: \sqrt{ {2}^{2} \: + \: 64 } [/tex]
[tex]d \: = \: \sqrt{4 \: + \: 64} [/tex]
[tex]d \: = \: \sqrt{68} [/tex]
[tex]d \: = \boxed{ \bold{ \: 2 \sqrt{17} \: units}}[/tex]
Answer:[tex] \huge{\boxed{ \bold{2 \sqrt{17} \: units }}}[/tex]
MissSpanishPLS HELP ME WITH THIS PROBLEM
[tex]y=200(0.5)^2^t[/tex] is Decay
[tex]y=\frac{1}{2}(2.5)^\frac{t}{6}[/tex] is Growth
[tex]y=(0.65)^\frac{t}{4}[/tex] is Decay
A rake is priced at $28.49. Tax is $1.85. What is
the total cost of the rake?
Question 1 Fill in the missing (yellow) interior angle with (4x)° to solve for x. Diagram may not be to scale.
Please help!
Answer:
x=100/7
Step-by-step explanation:
The interior angles will sum to 360 so 72+89+99+7x=360
260+7x=360
7x=100
x=100/7