Using linear functions, we have that:
Carrier B has the lower initial fee.They will have the same amount after 10 months.What is the missing information?The table for Carrier A is missing and has two points (3,500) and (6,650).
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For Carrier B, the function is:
yB(x) = 55x + 300.
For Carrier A, when in 3 months, the price increases by $150, hence the slope is:
m = 150/3 = 50.
Hence:
yA = 50x + b.
When x = 3, y = 500, hence we use it to find b as follows.
500 = 50(3) + b
b = 350.
Then:
yA = 50x + 350.
Due to the lower intercept, we have that:
Carrier B has the lower initial fee.
They will have the same amount when:
yA = yB.
Hence:
50x + 350 = 55x + 300
5x = 50
x = 10 months.
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50 POINTS HELP PLEASE
Graph the system of inequalities. Show at least two points for each inequality. (Lesson 1.08)
Answer:
54fhuuyfghhhrfbifgifd
How is the product of a complex number and a real number represented on the complex plane?
Consider the product of 2−4i and 3.
The product of a complex number and a real number represented on the complex plane is 6 - 12i
Complex numberComplex number is a number expressed in the form a + ib
where
a is the real part
b is the imaginary part
Given the complex and real number as shown;
3(2−4i)
Using the distributive law;
3(2) - 3(4i)
6 - 12i
Hence the product of a complex number and a real number represented on the complex plane is 6 - 12i
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the digit 8 in which number represents 0.08
Answer:
c
Step-by-step explanation:
2 spaces after the decimal
please i need help with this
1. Finding the first five numbers in each sequence is as follows:
Sequence 1: 0 2 4 6 8 10Sequence 2: 0 4 8 12 16 20.2. The ordered pairs with the corresponding terms of the sequences are (0, 0), (2, 4), (4, 8), (6, 12), (8, 10), and (10, 20).
3. For the graph, I cannot draw one for you, but Sequence 1 will be on the Y-axis, starting with zero, and Sequence 2 on the X-axis.
The line intercepts will subsequently meet at (2, 4), (4, 8), (6, 12), (8, 10), and (10, 20).
What is a sequence?A sequence is an ordered pattern of numbers or objects.
The length of a sequence describes the number of elements.
Data and Calculations:Pattern rule for Sequence 1: Start with zero and add 2
Pattern rule for Sequence 2: Start with zero and add 4
Sequence 1: 0 2 (0 + 2) 4 (2 + 2) 6 (4 + 2) 8 (6 + 2) 10 (8 + 2)
Sequence 2: 0 4 (0 + 4) 8 (4 + 4) 12 (8 + 4) 16 (12 + 4) 20 (16 + 4)
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TJ invested $4000 in a bond at a yearly rate of 2%. He earned $200 in interest. How long was the money invested
I need solution to this question tutor
Answer:
x=3 and y=
Step-by-step explanation:
Answer:
x=5 and y any number
Step-by-step explanation:
Translate the English phrase into an algebraic expression: the quotient of the sum of a and b and the product of a and b.
The algebraic expression from the given statement is (a+b)/ab.
Given the statement is the quotient of the sum of a and b and the product of a and b.
In mathematics, an expression is defined as a set of numbers, variables, and operations that are formed according to context-dependent rules.
In the given statement the sum of a and b means a+b.
And the product of a and b means ab.
Now, as it is given in the statement that the quotient of the sum of a and b and the product of a and b can be written as
(a+b)/ab.
Hence, the algebraic expression from the given statement "the quotient of the sum of a and b and the product of a and b" is (a+b)/ab.
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The graph to the right uses cylinders to
represent barrels of oil consumed by two
countries. Does the graph distort the data or
does it depict the data fairly? Why or why not?
If the graph distorts the data, construct a
graph that depicts the data fairly.
Does the graph distort the data? Why? Or Why not?
A. Yes, because 3D objects always distort the data in graphs.
B. Yes, because the graph incorrectly uses objects of volume to represent the data.
C. No, because the graph is technically correct.
D. No, because the proportions are accurate.
The correct option regarding whether the graph distorts the data is:
B. Yes, because the graph incorrectly uses objects of volume to represent the data.
What is the correct graph for the amounts in the problem?When we are showing absolute amounts of two or more data-sets, the correct representation should be of graphs like histograms or bar graphs.
For this problem, the objective is to show the daily oil consumption in two countries, and they are shown as the volumes of a cylinder, which gives the idea that the amount in country A is considerable more than 4 times country B, that is, distorting the data.
Conversely, a bar graph or a histogram would show the right ratio between these two amounts.
Hence the correct option is:
B. Yes, because the graph incorrectly uses objects of volume to represent the data.
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The number line below is correctly represented by which of the following intervals?
The intervals that represent the number line is c) {[tex]x|-8\leq x < 3[/tex]}
Which intervals are included in the number line?
It is a means of expressing subsets of the real number line. The numbers between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all other integers between 0 and 5 is the set of values x satisfying [tex]0\leq x\leq 5[/tex].
Numbers from [tex]x=-8[/tex] (inclusive because the circle is closed) to [tex]x=3[/tex](exclusive because the circle is closed) make up the painted range.
Hence,{ [tex]x|-8\leq x < 3[/tex]}
Therefore, the intervals that represent the number line is
c){[tex]x|-8\leq x < 3[/tex]}
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What is 36 divided by 3/4 in simplest form?
Answer:
48
Step-by-step explanation:
3/4 becomes 0.75 in decimal form
36/0.75=48
The solution of 36 divided by 3/4 in simplest form is,
⇒ 48
We have to given that,
To simplify 36 divided by 3/4 in simplest form.
It can be written as,
⇒ 36 ÷ (3/4)
⇒ 36 × 4/3
⇒ 12 × 4
⇒ 48
Therefore, The solution of 36 divided by 3/4 in simplest form is,
⇒ 48
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Sixty-five students voted for Jessica. Two times
many students voted for Sierra. How many
students voted
students voted= 195
Solution :
a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.
Jessica = 65 student
Sierra = 2 (Sixty-five students voted for Jessica.) = 2(65) = 130
Total number of students = NO of students voted for Jessica +NO of students voted for Sierra
= 65+130
= 195
students voted= 195
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Bill’s spelling list is 3 words long at the start of the school year. Each month, his teacher adds 8 words to the list.
Let m represent the number of months since school began and w represent the total number of spelling words.
This relationship can also be shown in a table. Complete the equation that represents between m and w.
Based on the fact that m represents the number of months and w is the total number of spelling words, the equation that represents the relationship between m and w is w = 8m + 3
How to find the equation?The first thing to find is the slope of the relationship. This can be found as:
= ( 51 - 43) / (6 - 5)
= 8 / 1
= 8
The y-intercept is:
w = 8m + c
43 = 8(5) + c
c = 43 - 40
c = 3
The equation to represent the relationship between m and w is:
w = 8m + 3
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how do i solve this?
What is the quotient of (−56) ÷ (−4) ÷ 7?What is the quotient of (−56) ÷ (−4) ÷ 7?
Answer:
98
Step-by-step explanation:
What is 27x45 and can you explain it
Answer:
1215
Step-by-step explanation:
You have to multiply the smallest number with the largest number; then add the zero along with the numbers being multiplied; then add each number until you get the right answer
Find the students mistake then find the correct x-intercepts for the graph of the function.
The value of the given equation the value of x : (3 , -10)
What is a quadratic equation in mathematics?Definitions: A quadratic equation is a second-order polynomial equation in some kind of a single variable x ax2+bx+c=0. Because it is a second-order polynomial problem, the fundamental theorem of fundamental algebra guarantees therefore it has at least one solution.
Briefing:the student haven't solved the equation properly he has not expanded the equation:
According to the given data:
The given equation is f(x) = (x - 3)² - 10
(x - 3)² - 10 = 0
this could be expand and write as:
x² + 9 -6x - 10 = 0
x² -6x -1 = 0
The vertex of an up-down facing parabola of the form y=ax^2+bx+c is Xv.
The parabola params are:
a=1, b=-6, c=-1
[tex]\:x_v=-\frac{b}{2a}[/tex]
[tex]x_v=-\frac{(-6)}{2 \cdot 1}[/tex]
Xv = 3
Putting x = 3 to get the value of y
we get:
y = -10
(3 , -10)
The value of the given equation the value of x : (3 , -10)
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Match the following. Given D = {x | x is a whole number} E = {x | x is a perfect square < 100} F = {x | x is an even number between 10 and 20} 1. D ∩ (E ∪ F) {1, 4, 9, 16, 25, 36, 49, 64, 81, 12, 14, 18} 2. D ∩ E {1, 4, 9, 16, 25, 36, 49, 64, 81} 3. D ∪ (E ∩ F) {12, 14, 16, 18} 4. D ∩ (E ∩ F) {all whole numbers} 5. D ∩ F {16}
The values of the set functions after the matching are:
D∩F = FD∩E = EDU(E∩F) = DD∩(E∩F) = {16}D∩(EUF) = {1,,4,9,12.14,16,18,35,36,47,64,81}What do we mean by different types of sets' functions?The intersection of two sets is represented by ∩.This refers to shared values between the sets under consideration.U represents the union of two sets.This includes all values from all sets considered.So, we have D = {x | x is a whole number}.
Then: D = {0,1,2,3,4,5,6,7,8,.........}Similiarly, E = {x | x is a perfect square < 100}.
So: E = {1,,4,9,16,35,36,47,64,81}Similarly, F = {x | x is an even number between 10 and 20}.
Then: F = {12,14,16,18}Now, D∩E = The common values from sets D and E.
Here we have: = E (all perfect square < 100 )D∩F = F
Where: This means all even numbers between 10 and 20}Now, D∩(E∩F) = {16}.
Then: E∩F = {16}Hence, The only value common to both set D and E∩F is 16.DU(E∩F) = D ( This means all whole numbers)
Then we can say: E∩F = {16}D∩(EUF) = {1,,4,9,12.14,16,18,35,36,47,64,81}
We obtain: EUF = {1,,4,9,12.14,16,18,35,36,47,64,81}Therefore, the values after the matching are:
D∩F = FD∩E = EDU(E∩F) = DD∩(E∩F) = {16}D∩(EUF) = {1,,4,9,12.14,16,18,35,36,47,64,81}Know more about sets functions here:
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A person who wants to get in shape goes to a local gym that advertises 62 training sessions for $1109. Find the cost of 94 training sessions.
The cost of 94 training sessions is $1681.3.
A unit means one thing. A unit rate means the rate of something. Write this as a ratio with a denominator of 1. For example, if you ran 70 meters in 10 seconds, you ran an average of 7 meters in 1 second. A ratio of 70 yards in 10 seconds and 7 yards in 1 second are both rates, but 7 yards in 1 second is a unit rate. The unitary method is a method of finding the value of one unit and then finding the value of the required number of units.Suppose you go to the market to buy six apples. The shopkeeper told you that he sells 10 apples for 100 rupees. In this case, the apple is the unit and the apple price is the value.
62 training sessions for $1109
1 session = 1109/62
94 sessions = (1109/62) * 94
= $1681 .3
The cost of 94 training sessions is $1681.3.
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If p percent of q is r what percent of r is q
Answer:
10000/p.
Step-by-step explanation:
r = pq/100
pq = 100r
q = 100r/p
As a percentage of r:
we have P = q * 100/r
P = 100r/p * 100/r
= 10,000r / rp
= 10000/p
ON A HIGHWAY GOING TO YOUR PROVINCE YOU, NOTICE THAT THERE IS A BILLBOARD LOCATED EVERY 1 1/2 KILOMETERS. THERE ARE 14 BILLBOARDS IN THAT HIGHWAY. HOW LONG IS HIGHWAY
Answer:
The highway is 21 km long.
Step-by-step explanation:
[tex]\frac{1 billboard}{1.5 km} =\frac{14 billboard}{x}[/tex]
x = 21 km
Choose an equivalent expression for two thirds to the fourth power times two thirds raised to the third power comma all raised to the second power.
A. four ninths raised to the fourteenth power
B. four ninths raised to the twenty fourth power
C. two thirds raised to the fourteenth power
D. two thirds raised to the twenty fourth power
Answer:
C. two-thirds raised to the fourteenth
Step-by-step explanation:
You start at (5, -4). You move up 6 units and down 1 unit. Where do you end?
Answer:
(5, 1)
Step-by-step explanation:
-4+6-1=1.
The sum of 8 and three times a number is 41
Answer:
x=11
Step-by-step explanation:
let number =x
(8+3x)=41
group like terms
3x=41-8
3x=33
divide both side by the coefficient of x
3x/3=33/3
x=11
2x+y+2z=2
2x-7y-8z=-2
-2x+4y+3z=8
Answer:
0
Step-by-step explanation:
forgotten sorry
Find the following values for the function
Answer:
a. -5; b. 4; c. -2.
Step-by-step explanation:
a) f(-3)=3*(-3)+4=-5;
b) f(3)=2*3-2=4;
c) f(0)=2*0-2=-2.
-4 + 8 - 5
Please help.
I'm on a knowledge check on ALEKS and my teacher won't help.
Please I've been doing this for almost the whole period.
Answer:
-1
Step-by-step explanation:
read warriors
by eren hunter.
5/6 divided by 3/5 =
A. 18/25
B. -25/18
C. 25/18
D. -18/25
Answer: 25/18 ==> C
Step-by-step explanation:
5/6 divided by 3/5=
5/6 / 3/5 =
5/6 * 5/3 = ==> dividing by a number is the same as multiplying by its reciprocal
5*5/(6*3)=25/18 ==> C
help me find the measures
c=26
d=31
You can church my answer by substituting them in and finding the inner two missing angles. per triangle all three angles should add up to 180.
Dylan wants to buy a book for 16.95 and a magazine for 4.50
Dylan needs $ 21.45 for the purchase of both books and the magazine.
Addition refers to the basic operation of mathematics where we find the sum of two or moe numbers.
We are given that:
Dylan wants to buy two things:
1. she wants to buy a book for $ 16.95
2. she wants to buy a magazine for $ 4.50
So, the total money that she needs will be calculated by adding the prices of both the products.
So, by using addition, we get the total money required by Dylan as:
Total money = $ 16.95 + $ 4.50
Total money = $ 21.45
Therefore, we get that, Dylan needs $ 21.45 for the purchase of both books and the magazine.
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Mr. Richmond wants to purchase notebooks for his students. Each notebook costs $1.60. Mr. Richmond has
$60. What is the most amount of notebooks Mr. Richmond can purchase?
Answer: 37 Notebooks
Step-by-step explanation:
Set up and inequality equation where x is the unknown amount of notebooks Mr. Richmond can purchase.
1.60x less than or equal to $60.
Inverse Operations 60/1.60 = 37.5
But, round down, since you can't buy half a notebook so;
Mr. Richmond can purchase 37 notebooks.