The addition is one of the four fundamental mathematical operations. Jenny can have dinner at 7 pm and 7.5 mins.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
The time can be calculated as,
Time taken for preparation = 30 minTime is taken to travel to airport = 25 minsShe will wait for 10 mins before the flight arrive = 10 minFlight lands at 4 pm
She will leave 15 mins after the flight lands = 15 minsIt takes 25 mins to travel back home ⇒ 15 + 25 minsShe will start cooking after 5 mins ⇒ 15+25+5 minJenny has bought a 2.4kg chicken. It takes 35-45 minutes per kg plus an additional 30 minutes to cook the chicken. Time needed for cooking the chicken = (2.5×45 + 30) = 142.5 min
⇒ 15+25+5+142.5 min
Thus, the total time it takes for Jenny to cook the food starting when the flight lands are ⇒ 187.5 mins = 3 hours 7.5 mins
Since the flight lands at 4 pm
⇒ 4 pm + 3 hours 7.5 mins
⇒ 7 pm and 7.5 mins
Hence, Jenny can have dinner at 7 pm and 7.5 mins.
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Type an integer or decimal rounded to the nearest tenth f(80)=1000(0.5)80/30
The value of the function is 157.5
How to evaluate the function?The function is given as:
f(80)=1000(0.5)^(80/30)
Evaluate the quotient
f(80)=1000(0.5)^(8/3)
Evaluate the exponent
f(80)=1000 * 0.15749013123
Evaluate the product
f(80) = 157.49013123
Approximate
f(80) = 157.5
Hence, the value of the function is 157.5
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Find the sum of the measures of the interior angles of the figure.
Answer:
[tex]\huge\boxed{\sf 900}[/tex]
Step-by-step explanation:
Sides of the figure = n = 7
Formula for measuring the interior angles of a polygon:(n - 2)×180
Where n is the number of sides in the polygon
So,
Measure of interior angles in the figure:= (n - 2) × 180
= (7 - 2) × 180
= 5 × 180
= 900
[tex]\rule[225]{225}{2}[/tex]
Answer: 720°
Step-by-step explanation:
- Assuming this is a regular hexagon, all the sides are equal and all the angles are equal
- One of the properties of a regular hexagon is that the sum of all the interior angles is 720°
- Since the sum of all the interior angles is 720°, this means each interior angle is 120°
hope this helps :)
According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, 62% of graduates from public universities had student loans.
We randomly select 50 students at a time.
What is the mean of the distribution of sampling proportions? Do not round, and enter your answer as a proportion (decimal number) not a percentage.
The mean of the distribution sample is 0.62 and the standard error of the distribution sample is 0.069
What is Mean ?Mean is the study of central tendency of a data set. The average value of the data points is the mean.
It is given that
The probability that the students have the student loan is = 62% = 0.62
The probability that the students do not have student loan is
1 - p
= 1 - 0.62
= 0.38
Total number of students is
n = 50
1) [tex]\rm \mu \;\hat p[/tex] = p = 0.62
2) [tex]\rm \sigma\hat p[/tex] = [tex]\rm \sqrt {p ( 1 - p ) / n}[/tex]
= [tex]\rm \sqrt {(0.62 * 0.38) / 50}[/tex]
= 0.069
Therefore the mean of the distribution sample is 0.62 and the standard error of the distribution sample is 0.069.
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If xm/x5=x7 and (x)=x¹2, then the value of m-r= A. 3 B. 4 C. 8 D. 12 If xm / x5 = x7 and ( x ) = x¹2 , then the value of m - r = A. 3 B. 4 C. 8 D. 12
The difference between m and r from the given expressions is 8
Indices and exponentsGiven the following exponents
x^m/x^5=x^7
x^m = x^5 * x^7
x^m = x^12
Equate the powers
m = 12
For the expression
(x^r)³ = x^12
x^3r = x^12
3r = 12
r = 4
Take the difference
m - r = 12 - 4
m - r = 8
Hence the difference between m and r is 8
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PLESE HELP ME ASAP!!!
Answer:
Square Root of 7 = 7^1/2 = 2.646
Cubed Root of 7 = 7^1/3 = 1.913
Square Root of 7^3 = 7^3/2 = 3.659
Choose the most convenient method to graph the line x=−3.
Select the correct answer below:
Recognize the equation as that of a vertical line passing through the x-axis at −3
Recognize the equation as that of a horizontal line passing through the y-axis at −3
Identify the slope and y-intercept and then graph
Find the x- and y-intercepts and then graph
Answer: Recognize the equation as that of a vertical line passing through the x-axis at −3
The age of undergraduate students at the U of A has a mean (µ) of 20.66 and a population standard deviation (s) of 2.4. What percentage of students are 21 or older and thus old enough to legally order alcohol at Griff's?
Using the normal distribution, it is found that 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 20.66, \sigma = 2.4[/tex]
The proportion of students that are 21 or older is one subtracted by the p-value of Z when X = 21, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20.66}{2.4}[/tex]
Z = 0.14
Z = 0.14 has a p-value of 0.5557.
1 - 0.5557 = 0.4443 = 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.
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i cannot log in edge
only me?
In Washington county , 850 homes were sold in 2017 . How many homes was sold in the southwest region.
The number of homes sold in the Southwest region in 2017was B. 102.
What are Regional Sales?Regional sales refer to the sales recorded by marketing and sales regions through which an organization distributes its products and services.
Recording sales by region helps management to determine regional managers' performances and contributions to the sales efforts.
Data and CalculationsSales in Washington county:
Southeast = 48%
Southwest = 12%
Northwest = 25%
Northeast = 15%
Sales of homes in the Southwest region = 102 (850 x 12%)
Question Completion with Answer Options:A. 1,020
B. 102
C. 588
D. 1,231
Thus, the homes sold in the Southwest region in 2017 were B. 102.
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hello please help with my question, I will give brainlyest!
No, John is incorrect.
Correct work shown:
[tex]\sf x^2 - 6x - 7 = 0[/tex]
[tex]\sf x^2 - 6x = 7[/tex]
[tex]\sf x^2 - 6x + 9= 7 + 9[/tex]
[tex]\sf (x-3)^2= 16[/tex]
[tex]\sf x-3=\pm \sqrt{16}[/tex]
[tex]\sf x-3= \pm 4[/tex]
[tex]\sf x= + 4 + 3 \quad or \quad x = -4 + 3[/tex]
[tex]\sf x= 7 \quad or \quad x = -1[/tex]
The correct answer should be x = 7 or x = -1
A square has a perimeter of 12x+25 units. Which expression represents the side length of a square and units
Answer:
3x+13 units
Step-by-step explanation:
square perimeter of 12x +52 units
perimeter= 12x +52
12x + 52= 4(sides)
divide both sides by 4 = 12x/4 + 52/4= 3x+13
which give you 3x +13 units
how to find compound rate from given values, 10 years after, and initial
The formula that calculates the compound rate from the given values is [tex]r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})[/tex]
How to determine the compound interest rate?The compound interest formula is:
[tex]I = P(1 + \frac rn)^{nt} - P[/tex]
Where:
P represents the principal amountr represents the compound interest raten represents the number of times the interest is compoundedt represents the time in yearsI represents the interestWe start by adding P to both sides
[tex]P + I = P(1 + \frac rn)^{nt}[/tex]
Divide through by P
[tex]\frac{P + I}{P} = (1 + \frac rn)^{nt}[/tex]
Take the nt-th root of both sides
[tex]\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn[/tex]
Subtract 1 from both sides
[tex]-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn[/tex]
Multiply through by n
[tex]r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})[/tex]
In this case, t = 10
So, we have:
[tex]r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})[/tex]
Hence, the formula that calculates the compound rate is [tex]r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})[/tex]
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A number line going from negative 3 to positive 5. A closed circle is at negative 1.5. Everything to the left of the circle is shaded. Which inequalities have the solution set graphed on the number line? Check all that apply. x Greater-than-or-equal-to -1.5 x Less-than-or-equal-to -1.5 -1.5 Less-than-or-equal-to x -1.5 Greater-than-or-equal-to x x Less-than-or-equal-to -2.5 x Greater-than-or-equal-to -2.5 -2.5 Greater-than-or-equal-to x
the inequality in the number-line is:
x ≤ -1.5
Which inequality is represented?We know that we have a closed circle at -1.5, this means that the value is a solution of the inequality.
Then we have a line that goes to the left of that circle, so the inequality will have solutions that are less than or equal to -1.5
Then the inequality is:
x ≤ -1.5
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Answer:c
Step-by-step explanation:
trust me
gary cycled a total of 8 kilometers by making 4 trips to work. How many trips will gary have to make to cycle a total of 10 kilometers?
Answer:
5
Step-by-step explanation:
Each trip adds up to 8/4 = 2 km
According to this, to travel 10 km is required:
10/2 = 5 trips
Hope this helps
Be sure that you show all of your work to reach your answer. Each step must be on a separate line. Your method to reach your answer must be clear and include explanations.
Be sure to only round at the last step for your final answer.
You plan to purchase a house for $525,000 and you will make a 20% down payment. You are evaluating two mortgages a 30-year fixed mortgage at 2.72% and a 15-year fixed mortgage at 2.25%. Your goal is to have a monthly payment that fits within your budget.
a. Which mortgage will give you the lowest monthly payment? What will that payment be? How much less will this be than the other monthly mortgage payment?
b. Assuming you take the full term of the mortgage, which mortgage will result in you paying the most interest? What will that interest be? How much more will this be than the interest on the other mortgage?
R= regular monthly payment
p= amount financed, or principal
r= rate written as a decimal
n= number of payments per year
t= number of years
Needs to be easy to read.
The mortgage that will give the lowest monthly payment is EMI1 which translates to $ 1,708.16; and method one will require payment of the highest interest.
What is mortgage?A mortgage is an arrangement between you and a lender that provides the lender the right to repossess your property if you fail to repay the loan plus interest.
Mortgage loans are used to purchase a property or to borrow money against the value of an existing home.
What is the calculation for the above?Given that:
Total amount = $525,000
Down payment = 20% = 0.2
Method 1: Time is 30 years and rate is 2.72%
Method 2: Time is 15 years and the rate is 2.25%
Loan amount = total amount less down-payment
= 525,000 - (0.2 * 525,000)
= $420, 000
Using Method 1Given that t = 30 year or 360 months
r = 2.72% or 0.0272
EMI1 = [ 420, 000 * (0.0272/12) * ( 1 + (0.0272/12)³⁶⁰]/ [( 1 + (0.0272/12)³⁶⁰ -1]
= [952 * 2.259]/1.259
EMI1 = $ 1,708.16
Using Method 2
t = 15 years or 180 months
Rate = 2.25% or 0.0225
EMI2 = [420,000 * (0.0225/12) * ( 1 + (0.0225/12)¹⁸⁰]/ [( 1 + (0.0225/12)¹⁸⁰ --1]
= [787.5 * 1.401]/0.401
EMI2 = $2,751.34
Assuming you take the full term of the mortgage, which mortgage will result in you paying the most interest?
Method 1
Interest = EMI1 x total months - loan amount
= 1,708.16 x 360 - 420,000
= $194, 937.6
Method 2
Interest = EMI2 x total months - loan amount
2,751.34 x 180 - 420,000
= $75,241.2
From the above method 1 requires the highest interest.
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Different types of angels
Step-by-step explanation:
assuming you are looking for angles and not angels:
Zero Angle (0° in Measure)
Acute Angle (0 to 90° in Measure)
Right Angle (90° in Measure)
Obtuse Angle (90 to 180° in Measure)
Straight Angle (180° in Measure)
Reflex Angle (180 to 360° in Measure)
Complete Angle (360° in Measure)
Which choice is equivalent to the quotient shown here for acceptable values of X?
√7x² ÷ √3x
A x(√7x/3)
B √21x³
C (√7x/3)
D (√7x³/3)
The choice that is equivalent to the quotient values of X in √7x² ÷ √3x is Option C : (√7x/3).
What is the quotient about?Since the expression is √7x² ÷ √3x
So, one need to rationalize the denominator and thus:
√7x² ÷ √3x x √3x ÷ √3x
or write as √7x² x√3x ÷ √3x
or write as√(21x³)/3x
or write as √3*7*x³/3x
or write as √3*7*x/3
= √7x/√3
Therefore, The choice that is equivalent to the quotient values of X in √7x² ÷ √3x is Option C : (√7x/3).
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Suppose that you and a friend are playing cards and you decide to make a friendly wager. the bet is that you will dr6aw two cards without replacement from a standard deck. if both cards are hearts, your friend will pay you $16. otherwise, you have to pay your friend $3. suppose that you and a friend are playing cards and you decide to make a friendly wager. the bet is that you will draw two cards without replacement from a standard deck. if both cards are hearts, your friend will pay you $16. otherwise, you have to pay your friend $3. step 2 of 2 : if this same bet is made 762 times, how much would you expect to win or lose? round your answer to two decimal places. losses must be expressed as negative values. round your answer to two decimal places. losses must be expressed as negative values.
If the bet is done 762 times then expected value is that we may have a loss of $1562.1if the bet is that is heart comes we will get $16 and lose $3 if not comes.
Given We will get $16 if hearts come and lose $3 when not comes and bet is made 762 times. We have to calculate the expected win after 762 times.
We know that there are 13 hearts in the standard deck of cards.
Probability is the chance of happening an event among all the events possible. The formula of calculating probability is as under:
Probability= number of items/ total number of items.
When two cards are chosen at random without replacement then the probability of getting two hearts is 13/52*12/51
=156/2652
=0.05
When two cards are chosen at random without replacement then the probability of not getting two hearts is 1-0.05
=0.95
When bet is made only 1 time expected value will be 0.05*16-0.95*3
=0.8-2.85
=-2.05 means we are expecting to lose $2.05.
When bet is made 762 times then the expected value will be -2.05*762=-1562.1.
Hence the expected value when bet is made 762 times is that we will lose $1562.1 .
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How much would we pay per barrel of crude oil if the price goes up to US$ 75 and the US$ exchange rate stays the same?
If the price of a barrel of crude oil went up to $75, the amount that would be paid per barrel is $75.
What currency is oil denominated in?The U.S. dollar is the main currency for trade around the world which includes the trade of crude oil.
This means barrels of crude oil are denominated in dollars. An increase of crude oil to $75 per barrel means that Americans would be $75 because they already use the currency that the oil is denominated in.
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Set up an algebraic equation and then solve.
An integer is 17 more than 4 times another. If the product of the two integers is - 18,
then find the two integers.
Answer:
Step-by-step explanation:
let the numbers be x& y
y=4x+17
xy=-18
x(4x+17)=-18
4x²+17x+18=0
4x²+8x+9x+18=0
4x(x+2)+9(x+2)=0
(x+2)(4x+9)=0
x=-2
x=-9/4 (rejected as it is not an integer.)
y=4×(-2)+17=-8+17=9
so numbers are -2,9
What is the order of rotational symmetry for the figure?
•A. 2
B. 1
C. 4 or more
D. 3
C is the right answer.
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Na bakla na yswa!
cting Polynomials: Practice
Question 1 of 5
Select the correct answer.
Let p(x) be a polynomial as shown below, and let b be an integer.
p(=) = a₁ + a₁ + a₂=² + ... + an In
Which of the following is true regarding the sum and difference of p(x) and b?
O
The sum-and difference of p(x) and b are integers.
The sum and difference of p(x) and b are polynomials.
The sum of p(x) and b is a polynomial, and the difference is an integer.
The sum of plx) and b is an integer, and the difference is a polynomial.
Submit
Reset
The option that's true regarding the sum and difference of the polynomial p(x) and b is B. The sum and difference of p(x) and b are polynomials.
How to illustrate the information?From the information given, it was stated that p(x) is a polynomial and is given as p(=) = a₁ + a₁ + a₂=² + ... + an.
In this case, it should be noted that the sum and difference of p(x) and b are polynomials.
They can't be integers as the function given is represented as a polynomial.
In conclusion, the correct option is B.
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Question 3 (Essay Worth 10 points) (05.07 MC) The scatter plot shows the number of strawberries that have been picked on the farm during the month of February: A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Strawberries and the x axis is labeled Days in February Part A: Using computer software, a correlation coefficient of r = 0.01 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points) Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm. (5 points)
It's not an accurate value for the data based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means practically no correlation, while the points on the graph are moderately correlated
How to illustrate the information?1. Part A:
Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.
The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to 1.
Here, r = - 1 is a perfect negative correlation as the points will adjust perfectly to a line with negative slope.
r = + 1 is a perfect positive correlation: the points will ajdust perfectly to a line with positive slope.
r = 0 means that the variables are not correlated at all.
Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.
Therefore, the calculated value of r = 0.01 is not accurate for this scatter plot.
2. Part B.
A causal relationship means that the explanatory variable (the independent variable) is the cause of the dependent variable.
Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.
Thus, the scenario could be:
Amout of rainfall in mm (x) Number of strawberries picked (y)
100 20
50 40
25 80
12.5 160
6.25 320
The amount of rainfall is the cause of the number of strawberries picked, and you could find a model that relates both variables.
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Consider the relationship 3r+8t=3
The function r =f(t) is f(t) = 1 - 8t/3
How to evaluate the function?The function is given as:
3r + 8t = 3
Make r the subject
3r = 3 - 8t
Divide by 3
r = 1 - 8t/3
This means that:
f(t) = 1 - 8t/3
To calculate f(-3), we have:
f(3) = 1 - 8 * 3/3
Evaluate
f(3) = -7
Also, we have:
1 - 8t/3 = 2
Add 2 to both sides
-8t/3 = 3
Solve for t
t = -9/8
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Complete question
Consider the relationship 3r+8t=3
Write the relationship as a function r = f(t)
Evalute f(-3)
Solve for f(t) = 2
Find the quotient: 40 ÷ 7
Answer:
5.71428571429
Step-by-step explanation:
Which of the numbers below are some potential roots of p(x) = x3 6x2 − 7x − 60 according to the rational root theorem?
The potential roots of the function p(x)=[tex]x^{3}+6x^{2} -7x-60[/tex] are -10,-5,3,15.
Given function p(x)=[tex]x^{3}+6x^{2} -7x-60[/tex]
We have to find the potential roots of the function according to rational root theorem.
Root is the solution of an equation usually expressed as a number or an algebraic formula.
The rational root theorem is used to find the potential roots of function.
For a polynomial function:
p(x)=p[tex]x^{n}[/tex]+..............................+q
The potential roots are:
Roots =±factors of q/factors of p
Th factors of 60 are =±1,±2,±3,±4,±5,±6,±10,±12.
The factors of 1 is ±1.
So we have factors are:±1,±2,±3,±4,±5,±6,±10,±12,±15,±20/±1
The roots are =±1,±2,±3,±4,±5,±6,±0.
Factors:-10,-5,3,15.
Hence the potential roots are -10,-5,3,15.
Question is incomplete as it should includes options :-10,-7,-5,3,15,24
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An item is regularly priced at $60. Jane bought it at a discount of 30% off the regular price. How much did Jane pay?
$
X
5
Answer:
$72
Step-by-step explanation:
100%-$60
1%-$0.60
100%-30%=70%
70%-$0.60x70=$42
The fine schedule for overdue books at the county library is modeled by the values in the table.
Library Fines for Overdue Books
Days overdue
Amount of fine
0
0 ¢
2
5 ¢
4
10 ¢
6
15 ¢
8
20 ¢
10
25 ¢
Which equation best models the fine schedule for overdue books?
Thus, the required equation is given by Y = 5/2X.
Given data can tabulate is
Days overdue(x) = 0 2 4 6 8 10
Amount of fine(y) = 0 5 10 15 20 25
What is equation?equation is the relationship between variable and represented as is example of polynomial equation.
Since, the as for every value of x, y grows linerely.
Equation can be given as for every 2 step of x, y increase 5 steps
therefore, y = 5/2x
Thus, The required equation is given by y = 5/2x
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XTI
1
7 ft. =
.
.
in.
3
.
13. Calculate using the table below: 2
" . 1
5
.
Calculations
Use chapters 8 and 9 of your textbook to solve the next set of problems. Show your wor
. 1
.
Equivalences of Units in Length in the U.S. Customary System
12 inches (in.) = 1 foot (ft)
3 ft = 1 yard (yd)
5280 ft = 1 mile (mi
I
f td d,ts#=#=sr#=rs$/,% gu gu hijkojibgu yf ,tdts$_, %_g g hu
Choose the most convenient method to graph the line x=8.
Select the correct answer below:
Recognize the equation as that of a vertical line passing through the x-axis at 8
Recognize the equation as that of a horizontal line passing through the y-axis at 8
Identify the slope and y-intercept and then graph
Find the x- and y-intercepts and then graph
Answer:
Recognize the equation as that of a vertical line passing through the x-axis at 8
Answer:
the first option : vertical line passing through the x-axis at 8.
Step-by-step explanation:
x = 8
is a special case of a line equation.
it means that it contains all points for which x = 8.
so, e.g.
(8, -26), (8, - 7), (8, 0), (8, 3), (8, 57), ...
in other words, any y value is possible, but x is constant 8.
therefore, it is one vertical line going through 8 on the x-axis.
the is therefore no y-intercept.
this line equation maps all y values from -infinty to +infinity to the x value of 8. and FYI - it is therefore not a function (where each x value has exactly one assigned y value).
the slope of such a line is infinite or even more accurate undefined.
as the slope is y difference / x difference, x difference is always 0. something divided by 0 is officially undefined and often considered as infinite.
the opposite extreme is something like
y = 8
this is now the line that contains all points with y = 8.
any x-value is possible, but y is always 8.
that is a horizontal line that goes through the y-axis at 8.
and in fact, this is a function, as every x value has exactly one assigned y value (they are all 8, but that does not matter).
there is no x-intercept, of course.
and the slope is 0, as the slope is y difference / x difference, and the y difference is always 0. 0 divided by something is 0.