The shoot would last eight hours, and the cost would be $699 whether the photographer hires Craig or Kaya.
Explanation:This question can be solved using algebra, particularly the concept of system of equations, where we set two linear cost equations equal to each other to find out when they cost the same. Given: Craig's cost is $195 + $63p, and Kaya's cost is $171 + $66p, we form an equation $195 + $63p = $171 + $66p. Subtracting $171 and $63p from both sides leaves us with $24 = $3p. So, dividing both sides by $3, we get p = 8.
This means the photo shoot would last 8 hours, and the cost would be either Craig's or Kaya's cost for 8 hours, which is $195 + $63*8 = $699 or $171 + $66*8 = $699.
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The cost for the photo shoot would be $699, and the duration of the shoot would be 8 hours.
Let's denote:
- [tex]\( C_C \)[/tex]: Total cost if the photographer hires Craig.
- [tex]\( C_K \)[/tex]: Total cost if the photographer hires Kaya.
- [tex]\( h \)[/tex]: Number of hours of the photo shoot.
Given the charges:
- Craig charges $195 for showing up, plus $63 per hour.
- Kaya charges $171 for showing up, plus $66 per hour.
The equations for the total cost [tex]\( C_C \)[/tex] and [tex]\( C_K \)[/tex] are:
[tex]\[ C_C = 195 + 63h \][/tex]
[tex]\[ C_K = 171 + 66h \][/tex]
The photographer realizes that the costs are the same, so:
[tex]\[ C_C = C_K \][/tex]
Substitute the expressions:
[tex]\[ 195 + 63h = 171 + 66h \][/tex]
Now, solve for [tex]\( h \)[/tex]:
[tex]\[ 195 - 171 = 66h - 63h \][/tex]
[tex]\[ 24 = 3h \][/tex]
[tex]\[ h = \frac{24}{3} \][/tex]
[tex]\[ h = 8 \][/tex]
So, the duration of the photo shoot is 8 hours.
Now, substitute [tex]\( h = 8 \)[/tex] back into either equation to find the cost:
Using [tex]\( C_C \)[/tex]:
[tex]\[ C_C = 195 + 63 \cdot 8 \][/tex]
[tex]\[ C_C = 195 + 504 \][/tex]
[tex]\[ C_C = 699 \][/tex]
Using [tex]\( C_K \)[/tex]:
[tex]\[ C_K = 171 + 66 \cdot 8 \][/tex]
[tex]\[ C_K = 171 + 528 \][/tex]
[tex]\[ C_K = 699 \][/tex]
capacity measures how much a liquid weighs
Answer: Im assuming this is a true or false question anyways the answer would be false if it is
Step-by-step explanation:
1/3(y - 2) -5/6 (y + 1) =3/4 (y - 3) - 2
Answer:
[tex]y=\frac{11}{5}[/tex]
Step-by-step explanation:
Given expression
[tex]\frac{1}{3}(y-2)-\frac{5}{6}(y+1)=\frac{3}{4}(y-3)-2[/tex]
To solve for [tex]y[/tex] for the given expression.
Solution:
We multiply each term with the least common multiple of the denominators of the fraction in order to remove fractions.
The multiples of the denominators are:
3 = 3,6,9,12,15
6 = 6,12
4 = 4,8,12
The least common multiple = 12.
Multiplying each term with 12.
[tex]12.\frac{1}{3}(y-2)-12.\frac{5}{6}(y+1)=12.\frac{3}{4}(y-3)-2(12)[/tex]
[tex]4(y-2)-10(y+1)=9(y-3)-24[/tex]
Using distribution.
[tex]4y-8-10y-10=9y-27-24[/tex]
Simplifying.
[tex]-6y-18=9y-51[/tex]
Adding [tex]6y[/tex] both sides.
[tex]-6y+6y-18=9y+6y-51[/tex]
[tex]-18=15y-51[/tex]
Adding 51 both sides.
[tex]-18+51=15y-51+51[/tex]
[tex]33=15y[/tex]
Dividing both sides by 15.
[tex]\frac{33}{15}=\frac{15y}{15}[/tex]
[tex]\frac{33}{15}=y[/tex]
Simplifying fractions.
[tex]\frac{11}{5}=y[/tex]
∴ [tex]y=\frac{11}{5}[/tex] (Answer)
ABCD is a parallelogram if side ab=4x+7 and bc=8x-12 and side cd=7x-14 find the value of x
Answer:
Therefore the value of 'x' is 7.
Step-by-step explanation:
Given:
[] ABCD is a Parallelogram
AB = 4x+ 7
BC = 8x - 12
CD = 7x - 14
To Find:
x = ?
Solution:
[] ABCD is a Parallelogram ..............Given:
Opposite sides of a Parallelogram are Equal
side AB and CD are the opposite sides of the parallelogram.
∴ AB = CD
On substituting the values we get
[tex]4x+7=7x-14\\\\7x-4x=7+14\\\\3x=21\\\\x=\dfrac{21}{3} =7\\\\\therefore x =7[/tex]
Therefore the value of 'x' is 7.
If Tian has 56 paper clips. He gives 3/4 of them to joe. Joe gives 2/7 of what he receives to Rahul. How many paper clips does Rahul get?
Rahul gets 12 paper clips.
Step-by-step explanation:
Given,
Paper clips Tian have = 56
He gives 3/4 of them to joe.
Joe gets = [tex]\frac{3}{4}*56=\frac{168}{4}[/tex]
Joe gets = 42 paper clips
He given 2/7 of received to Rahul.
Rahul gets = [tex]\frac{2}{7}*42=\frac{84}{7}[/tex]
Rahul gets = 12 paper clips
Rahul gets 12 paper clips.
Keywords: fraction, division
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if a rectangular swimming pool is 10 meters wide and 15 meters long what is the perimeter
Answer:
50m
Step-by-step explanation:
Information from the question:
The length is 15m
The width is 10m
Length is represented by "l"
Width is represented by "w"
The perimeter is the total of its side lengths. A rectangle has four sides that are two lengths and two widths.
Use the formula for perimeter:
P = 2(l + w) Put in the length and width measurements
P = 2(15m + 10m) Add inside the brackets
P = 2(25m) Multiply
P = 50m Answer
Therefore the perimeter of the rectangular swimming pool is 50 meters.
1. Dan Elliott uses online banking. He pays the basic monthly
charge, 9 bills, and requests a printed statement. He also has
ATM transactions that include 2 out-of-network transactions
and a cash advance of $200.00. What are his total fees for
the month?
Pidni
The items are classified as M1, M2, or neither based on their liquidity and spendability. A line of credit and traveler's checks are neither M1 nor M2 as they are not actual money. Physical currency and money in a checking account are classified as M1, while money in a money market account is classified as M2.
Explanation:M1 refers to the narrowest definition of the money supply, which includes only the most liquid forms of money that can be easily spent. M2 is a broader measure of the money supply and includes M1 as well as other less liquid forms of money. Neither refers to items that do not fit into either M1 or M2.
a. Your $5,000 line of credit on your Bank of America card is neither in M1 nor M2 as it is not actual money but a credit limit.
b. $50 dollars' worth of traveler's checks you have not used yet is neither in M1 nor M2 as they need to be exchanged for cash before they can be spent.
c. $1 in quarters in your pocket is in M1 as it is physical currency that can be spent.
d. $1200 in your checking account is in M1 as it is a liquid form of money that can be spent.
e. $2000 you have in a money market account is in M2 as it is a less liquid form of money that can be accessed but may have restrictions or penalties for withdrawal.
Which graph represents y=^3 square x+2?
Answer:
File is given in attachements .
Step-by-step explanation:
[tex]y = \sqrt[3]{x} + 2[/tex] will pass through (0,2) and (-8,0) . Its shape will be as shown in the graph.
Answer:
Graph C
Step-by-step explanation:
9x + 2(3x + 7) = -31
x=-3
Step-by-step explanation:Solve:9x+2(3x+7)= -31
multiply the "3x" and the "7" by two (distributive property)
[="6x" and "7"]
add the "9x" and the "6x" [="15x"]
subtract "14" from"-31" [= "-45"]
divide "15x" from "-45"
="-3"
Check:put the "-3" in for "x"
multiply 9(-3) [=-27]
multiply 3(-3) [=-9]
distribute the 2 to the "-9" and the "7" [="-18" and "14"]
add the "-18" and "14" [=-4]
add the "-27" and the "-4"
=-31 ✓
What it looks like:Solve:9x+2(3x)+2(7)= -31
9x+6x+14= -31
15x+14= -31
-14 -14
15x= -45
/15= /15
x= -3
Check:9x+2(3x+7)= -31
9(-3)+2(3(-3)+7= -31
-27+2(-9+7)= -31
-27+(2(-9)+2(7))= -31
-27+(-18+14)= -31
-27+ (-4)= -31
-31= -31✓
Write the equation of the line 3x - 4y = 20 in slope-intercept form.
Answer:
y=3/4x-5
Step-by-step explanation:
3x-4y=20
4y=3x-20
y=3/4x-20/4
y=3/4x-5
Raji has 5/7 as many CDs as Megan. If Raji gives 1/10 of her CDs to Megan, what will be the ratio of the number of Raji’s CDs to Megan’s
Answer:
3:5
Step-by-step explanation:
Please see attached picture for full solution. ( Unit method)
This table gives a few (x,y) pairs of a line in the coordinate plane.(34, -52), (51,-65), (68, -78).What is the y-intercept of the line?
Answer:
(0,-26)
Step-by-step explanation:
Write the equation of the line in the slope-intercept form:
1. The slope of the line is
[tex]\dfrac{-65-(-52)}{51-34}=-\dfrac{13}{17}[/tex]
2. The equation of the line is
[tex]y-(-52)=-\dfrac{13}{17}(x-34)\\ \\y+52=-\dfrac{13}{17}x+26\\ \\y=-\dfrac{13}{17}x-26[/tex]
Now, find the y-intercept, substitute x = 0:
[tex]y=-\dfrac{13}{17}\cdot 0-26\\ \\y=-26[/tex]
Write the explicit formula for the arithmetic sequence.
3, -3, -9, -15, -21, ...
A) an = 7 - 4n
B) an = 6 - 3n
C) an = 9 - 6n
D) an = 18 - 15n
Option C
The explicit formula for the arithmetic sequence is [tex]a_n = 9 - 6n[/tex]
Solution:
Given that the arithmetic sequence is:
3, -3, -9, -15, -21, ...
To find: Explicit formula for the arithmetic sequence
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Where [tex]a_n[/tex] is nth term of sequence
n is the term's location
[tex]a_1[/tex] is the first term of sequence
d is the common difference between terms
In an arithmetic sequence, the difference between successive terms is constant. This means that we can move from any term to the next one by adding a constant value.
In the given sequence:
3, -3, -9, -15, -21, ...
[tex]a_1 = \text{ first term } = 3[/tex]
d = difference between any two terms in sequence
[tex]d = a_2 - a_1[/tex]
d = -3 - (3) = -6
Substituting the values in above formula,
[tex]a_n = 3 + (n - 1)(-6)\\\\a_n = 3 -6n + 6\\\\a_n = 9 - 6n[/tex]
Thus the explicit formula to find any term in sequence is found
Can anybody answer this for me please?
Answer:
1. f(2) = 6
2. Slope, m = [tex]$ \frac{7}{2} $[/tex]
Step-by-step explanation:
Problem 1:
Given f(x) = |3x|
To find f(2), substitute x = 2.
⇒ f(2) = |3(2)|
= |6|
= 6
Problem 2:
The given equation is: 2y = 7x + 8
The general equation of the line is: y = mx + c, where m is the slope of the line.
Therefore, we reduce the given equation to the general form of the line.
Dividing the given equation by 2, we get:
y = [tex]$ \frac{7}{2}x + \frac{8}{2} $[/tex]
[tex]$ \implies y = \frac{7}{2}x + 4 $[/tex]
Thus, slope, m = [tex]$ \frac{7}{2} $[/tex] which is the answer.
Problem 3:
Given with 14 gallons of gas, we can drive 392 miles.
The capacity of the tank if 14 gallons.
If 14 gallons can take us 392 miles, then 1 gallon of gas should take us: [tex]$ \frac{392}{14} $[/tex] miles.
= 28 miles/gallon of gas
Therefore, with 3.7 gallons of gas, we can travel 3.7 X 28 miles
= 103. 6 miles
Tamara has 14 red gel pens and 16 snap bracelets for goodie bags
Answer:
ok??? whats the question?
Step-by-step explanation:
Answer:
question???
Step-by-step explanation:
Question 4: 20 pts
Rhonda has 335 stamps in her collection. She wants to collect at least 575 stamps. Write and solve
an inequality to determine how many more stamps Rhonda must collect to reach her goal. Let d
represent the number of stamps Rhonda must collect to reach her goal.
Rhonda must collect at least 240 stamps in order to reach her goal.
Step-by-step explanation:
Given,
Stamps Rhonda wants to collect = 575
Stamps already in collection = 335
Let,
d represents the number of stamps Rhonda needs to collect to achieve her goal.
Stamps to collect + Stamps already in collection ≥ 575
[tex]d+335\geq 575\\d\geq 575-335\\d\geq 240[/tex]
Rhonda must collect at least 240 stamps in order to reach her goal.
Keywords: inequality, addition
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Find the product for 2(2n + 3)
To find the product for 2(2n + 3), use the distributive property to multiply 2 with each term inside the parentheses, resulting in 4n + 6.
Explanation:The question asks to find the product for 2(2n + 3). To solve this, we need to use the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Applying this rule to the given expression, we multiply 2 with each term inside the parentheses.
First, multiply 2 by 2n to get 4n. Next, multiply 2 by 3 to get 6. Therefore, the expression simplifies to 4n + 6.
We have successfully used the distributive property to find that the product of 2(2n + 3) is 4n + 6.
the difference of 2 2/3 and a number n divided by -2 1/5 equal to -13 / 33 find the value of n.
The value of n is [tex]1\frac{4}{5}[/tex].
Step-by-step explanation:
Given,
[tex](2\frac{2}{3}-n)/-2\frac{1}{5}=\frac{-13}{33}[/tex]
Writing the fractions in simplified form;
[tex](\frac{8}{3}-n)/\frac{-11}{5}=\frac{-13}{33}[/tex]
Taking LCM on left hand side;
[tex](\frac{8-3n}{3})/\frac{-11}{5}=\frac{-13}{33}\\[/tex]
[tex]\frac{8-3n}{3}*\frac{-5}{11}=\frac{-13}{33}\\\\\frac{-40+15n}{33}=\frac{-13}{33}\\\\[/tex]
Multiplying both sides by 33
[tex]33*(\frac{-40+15n}{33})=\frac{-13}{33}*33\\-40+15n=-13\\15n=-13+40\\15n=27[/tex]
Dividing both sides by 15
[tex]\frac{15n}{15}=\frac{27}{15}\\n=\frac{9}{5}\\n=1\frac{4}{5}[/tex]
The value of n is [tex]1\frac{4}{5}[/tex].
Keywords: fraction, division
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Please help!
Car A travels 120 miles in the same time that car B travels 150 miles. If car B averages 10 mph faster than car A, what is the speed of each car?
Answer:
Car A: 40 mph
Car B: 50 mph
Step-by-step explanation:
For the same travel time, the ratio of speeds is the same as the ratio of distances:
(speed B)/(speed A) = 150/120 = 5/4
The difference in the (reduced) ratio units is 1, so 1 ratio unit corresponds to 10 mph. Multiplying the reduced ratio by 10 mph, we get ...
Speed B is 50 mph; speed A is 40 mph.
2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How many pencils did he buy?
This is due this Wednesday it’s needs to be done ASAP!! It needs to be shown full work help me!!!
Answer:
13 pencils.
Step-by-step explanation:
Let x be the pens and y be the pencils
Given:
Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.
Total pens and pencils is 22
So, [tex]x+y=22[/tex]----------------(1)
And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.
[tex]0.75x+0.40y=11.95[/tex]------------(2)
solve equation 1 and equation 2 for x and y.
From equation 1.
[tex]x+y=22[/tex]
[tex]y=22-x[/tex]----------------(3)
put y value in equation 2.
[tex]0.75x+0.4(22-x)=11.95[/tex]
[tex]0.75x+0.4\times 22-0.4x=11.95[/tex]
[tex]0.75x+8.8-0.4x=11.95[/tex]
[tex]0.75x-0.4x=11.95-8.8[/tex]
[tex]0.35x=3.15[/tex]
[tex]x=\frac{3.15}{0.35}[/tex]
[tex]x=9[/tex]
Now substitute x value in equation 3.
[tex]y=22-9[/tex]
[tex]y=13[/tex]
So, he buy 13 pencils.
An arithmetic sequence has a first term of 3 and a fifth term of 31 what is it’s second term
Answer:10
Step-by-step explanation:
Adds 7 each time
31 - 3 = 28
Going from first term to fifth term is 4 increases.
28 ÷ 4 = 7
This means we have a common difference of 7.
Sequence is 3, 10, 17, 24, 31
help me thx!!!!!!!!!
Answer:
125
Step-by-step explanation:
Ivan buys candy that costs $7 per pound. He will buy at most 9 pounds of candy. What are the possible amounts he will spend on candy?
Use c for the amount (in dollars) Ivan will spend on candy.
Write your answer as an inequality solved for c.
Answer: 7c ≤ 63
Ivan will buy at most 9 pounds of candy, which means that multiplying 9 by 7, the cost of the candy, will get your answer: 63. Plug these values into an inequality with a less than or equal to sign (≤) facing away from 63 and you're done!
The possible amounts Ivan will spend on candy can be represented as c ≤ 7.
Explanation:Let's denote the amount Ivan will spend on candy as c. The cost of candy is $7 per pound, and Ivan will buy at most 9 pounds of candy. Therefore, the maximum amount he could spend on candy is 9 pounds multiplied by $7 per pound, which is 9c ≤ 63.
Since we are looking for possible amounts, we can rewrite this inequality as c ≤ 63/9, which simplifies to c ≤ 7.
So, the possible amounts Ivan will spend on candy are values less than or equal to $7.
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What is the maximum value of 4(x + 7)(2 - x), over all real numbers x?
Answer:
The maximum value of function is 81 .
Step-by-step explanation:
Given function as :
y = 4 (x + 7) (2 - x)
Now, The function can be written as
y = 4 (2 x - x² + 14 - 7 x)
y = 4 ( - x² - 5 x + 14)
y = - 4 x² - 20 x + 56
Now, For maximum value of function , differentiation of y with respect to x
[tex]\frac{\partial y}{\partial x}[/tex] = 0
Or, [tex]\frac{\partial ( - 4x^{2} - 20 x +56)}{\partial x}[/tex] = 0
Or, - 8 x - 20 = 0
Or, - 8 x = 20
∴ x = [tex]\dfrac{-20}{8}[/tex]
i.e x = [tex]\dfrac{-5}{2}[/tex]
Now, Putting the value of x in the given equation
y = - 4 ( [tex]\dfrac{-5}{2}[/tex])² - 20 ( [tex]\dfrac{-5}{2}[/tex]) + 56
Or, y = - 4 ([tex]\dfrac{25}{4}[/tex]) + 50 + 56
Or, y = - 25 + 50 + 56
∴ y = 81
So, The maximum value of function is 81
Hence,The maximum value of function is 81 . Answer
2/7 with an exponent of 3
Answer:
Step-by-step explanation:
(2/7)^3=8/343
Answer:
(2/7)^3
8/343
Step-by-step explanation:
(2/7)^3=2^3/7^3
=8/343
A cooler contains fifteen bottles of sports drink: eight lemon-lime flavored and seven orange flavored
Answer:
Mutually exclusive,
[tex]P(\text{Lemon-lime or orange})=\frac{2}{3}[/tex]
Step-by-step explanation:
Please consider the complete question:
Determine if the scenario involves mutually exclusive or overlapping events. Then find the probability.
A cooler contains twelve bottles of sports drink: four lemon-lime flavored, four orange flavored, and four fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or an orange.
Let us find probability of finding one lemon lime drink.
[tex]P(\text{Lemon-lime})=\frac{\text{Number of lemon lime drinks}}{\text{Total drinks}}[/tex]
[tex]P(\text{Lemon-lime})=\frac{4}{12}[/tex]
[tex]P(\text{Lemon-lime})=\frac{1}{3}[/tex]
Let us find probability of finding one orange drink.
[tex]P(\text{Orange})=\frac{\text{Number of orange drinks}}{\text{Total drinks}}[/tex]
[tex]P(\text{Orange})=\frac{4}{12}[/tex]
[tex]P(\text{Orange})=\frac{1}{3}[/tex]
Since probability of choosing a lemon lime doesn't effect probability of choosing orange drink, therefore, both events are mutually exclusive.
We know that probability of two mutually exclusive events is equal to the sum of both probabilities.
[tex]P(\text{Lemon-lime or orange})=P(\text{Lemon-lime})+P(\text{Orange})[/tex]
[tex]P(\text{Lemon-lime or orange})=\frac{1}{3}+\frac{1}{3}[/tex]
[tex]P(\text{Lemon-lime or orange})=\frac{1+1}{3}[/tex]
[tex]P(\text{Lemon-lime or orange})=\frac{2}{3}[/tex]
Therefore, the probability of choosing a lemon lime or orange is [tex]\frac{2}{3}[/tex].
plz help me fast thanks
Answer:
E
Step-by-step explanation:
There are 48 cards numbered from 1 to 48.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
Multiples of 8: 8, 16, 24, 32, 40, 48
Multiples of 6 and 8: 24, 48.
Hence,
Total number of cards = 48,
Number of cards which are multiples of 6 and 8 = 2
The probability that the number card is a multiple of both 6 and 8 is
[tex]P=\dfrac{2}{48}=\dfrac{1}{24}[/tex]
4(n+2=2 (n+10) ayudaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
n=6
Step-by-step explanation:
4(n+2)=2(n+10)
4n+8=2n+20
4n-2n+8=20
2n+8=20
2n=20-8
2n=12
n=12/2
n=6
Space provided.
1. Find the equation of the line that is modeled by the values in the table shown below.
Part I: Determine the slope of the line. Show the work you did to find the slope. (6 points)
Answer:
1) The slope of the line is [tex]m=\frac{5}{2}[/tex] or [tex]m=2.5[/tex]
2) The equation of the line is [tex]y=2.5x-4[/tex]
Step-by-step explanation:
step 1
Find the slope
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
take any two points from the values in the table
(2,1) and (4,6)
substitute the values in the formula
[tex]m=\frac{6-1}{4-2}[/tex]
[tex]m=\frac{5}{2}[/tex]
[tex]m=2.5[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=2.5[/tex]
[tex]point\ (2,1)[/tex]
substitute
[tex]y-1=2.5(x-2)[/tex]
Convert to slope intercept form
isolate the variable y
[tex]y-1=2.5x-5[/tex]
[tex]y=2.5x-5+1[/tex]
[tex]y=2.5x-4[/tex]
Read the question and answer it below the question
Answer:
G
Step-by-step explanation:
G = -2
-2 is greater than -4, yet, less than 0
In ordered pair a solution [tex]y\geq x-5?[/tex]
Answer:
The graph is plotted below.
One ordered pair as solution is (0, 0).
Step-by-step explanation:
Given:
The inequality is given as:
[tex]y\geq x-5[/tex]
In order to plot it, we first replace '≥' by '=' sign. This gives,
[tex]y = x-5[/tex]
Now, we plot the above line. For that, we need the x and y intercepts.
At x-intercept, y = 0. So,
[tex]0=x-5\\x=5[/tex]
The point is (5, 0)
At y-intercept, x = 0. So,
[tex]y=0-5\\y=-5[/tex]
The point is (0, -5)
Now, plot these two points and draw a line passing through these two points. The graph is shown below.
Now, replace '=' by '≥' sign. Since, 'y' is greater than equal to 'x - 5'. So, the solution region is above the given including the values on the line.
Therefore, any ordered pair in the solution region is a solution of the given inequality. From the graph, one such ordered pair is (0, 0).
This can be verified from the inequality also.
[tex]0\geq 0-5\\0\geq -5(True)[/tex]
So, one ordered pair is (0, 0).