Give the slope and the y-intercept of the line
y= −x+8
. Make sure the y-intercept is written as an ordered pair.
Slope:
Y-intercept:
Answers
Related Questions
What is the difference in unit price between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95?
Answers
Answer: $2.46
Step-by-step explanation:
First, let's find the unit price for both buckets!
A 1 gallon bucket of paint is $21.95. But how much will a 1 gallon bucket of paint cost if it had origianlly been 97.45 for 5 gallons of paint?
We need to divide 97.45 by 5, and the answer will be the unit price.
97.45 ÷ 5 = 19.49.
A 1 gallon bucket of paint that was originally priced as $97.45 for 5 gallons of paint si now $19.49 per bucket.
But we're not done! We still need to find the difference in unit prince between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95.
21.95 - 19.49 = 2.46.
Therefore, the difference in unit price between a 5 gallon bucket of paint for $97.45 and a 1 gallon bucket of paint for $21.95 is $2.46.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
After reading more about self-employment taxes, Dynasti realizes she can de the cost of the ingredients she used to bake the cakes before she determines much tax she owes! If ingredients for those 7 cakes cost a total of $82, how m does Dynasti actually owe for SECA?
Answers
The amount that Dynasti actually owes for SECA, given the cost of the cake ingredients, is $ 100.74
How to find the amount owed for SECA ?The Self-Employed Contributions Act (SECA) that a person owes, can be found by the formula :
= (Net earnings x 92 .35 % ) x 15.3%
Dynasti's net earnings are:
= Collection from customers - cost of cake
= 795 - 82
= $ 713
Dynasti's Self-Employed Contributions Act (SECA) tax is :
= ( 713 x 92. 35% ) x 15 .3 %
= $ 100.74
In conclusion, Dynasti's SECA Tax is $100.74
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The first part of the question is:
In June, one of her busiest months,Dynasti sells 7 cakes , collecting a total of $795 from her customers.
Sandro would like to retire at age 60 with an income of $1500 per month from his
retirement savings. If he is to receive these payments until he is 90 years old, what
amount would he need in his retirement savings account at age 60, if the account
earns 4.5% compounded monthly?
Answers
The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.
How the present value is computed:The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.
End of withdrawal period = 90 years old
Beginning of withdrawal period = 60 years old
The number of years between 60 and 90 = 30 years
N (# of periods) = 360 months (30 years x 12)
I/Y (Interest per year) = 4.5%
PMT (Periodic Payment) = $-1,500
FV (Future Value) = $0
Results:
Present Value (PV) = $296,041.74
Sum of all periodic payments = $540,000 ($1,500 x 360 months)
Total Interest = $243,958.26
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I need some help with this! Will give brainliest!
Answers
Answer:
see below
Step-by-step explanation:
center of circle = (2,-1)
r = 6 -2 = 4
We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.
so the equation will be:
( x - 2 )^2 + ( y +1 )^2 =16
suppose you are35 years old and would like to retire at age65 . Furthermore, you would like to have a retirement fund from which you can draw an income of $150000 per yearforever! How much would you need to deposit each month to do this? Assume a constant APR of8 % and that the compounding and payment periods are the same.
Answers
Answer:
$1258.09
Step-by-step explanation:
You want the monthly annuity payment that will let you withdraw $150,000 per year forever from an account earning 8% after 30 years.
Account balanceIn order to withdraw an amount "forever," the withdrawal amount must be equal to the interest earned by the account.
I = Prt
150,000 = P(0.08)(1)
P = 150,000/0.08 = 1,875,000
Annuity paymentThe value of an ordinary annuity is given by the formula ...
A = P(12/r)((1 +r/12)^(12t) -1) . . . . . where P is the monthly payment, and r is the annual interest rate earned over a period of t years.
Using the values we know, we can find P:
1875000 = P(12/0.08)((1 +0.08/12)^(12·30) -1) = 1490.359449P
P ≈ 1258.09
You would need to deposit $1258.09 each month.
__
Additional comment
The formulas used here assume that the deposits and withdrawals occur at the end of the month.
keep it simple and explain your answer plss and thank you
Answers
Answer:
y=-1/3+4
Step-by-step explanation:
y=mx+b
mx=slope
b=y intercept
Fill in the table and find the coefficient of K
Answers
x | - 8 | - 4 | 2 | 1 | 1/2 | - 1/4 | 0
------------------------------------------------------
y | - 16/3 | - 8/3 | 4/3 | 2/3 | 1/3 | -1/6 | 0
K = 2/3
A spinner has five equal parts labeled from 1 to 5. The spinner is spun twice. what is the probability of getting 4 twice in a row?
Answers
Answer:
1/25
Step-by-step explanation:
Since there are 5 parts, and one is the number 4, the chance of getting 4 is 1/5.
To find the probability of getting 4 twice in a row, multiply 1/5 by itself again, since it will happen twice:
1/5 x 1/5
= 1/25
So, the probability is 1/25
Don’t worry about 1and 2 but please help
Answers
We are told that every 1 apple pie requires 6 cups of apples, so every time we make a pie, we add 6 cups of apples.
For 1 pie, we need 6 cups.
For 2 pies, we need 12 cups (6 + 6).
For 3 pies, we need 18 cups (12 + 6).
And for 4 pies, we need 24 cups (18 + 6).
Solve the Inequality and graph the solution set.
-8-8(2x-4)>-5(4x-5)-21
Answers
Answer:
x > -5
Make a number line. Put a circle on the number line at -5 and then darken an arrow on the number line going to the right of -5
Step-by-step explanation:
-8-8(2x-4) > -5(4x -5) -21 Distribute the -8 and -5
-8 - 16x + 32 > -20x +25 -21 Combine like terms
-16x + 24 > -20x +4 Add 20x to both sides
4x + 24 > 4 Subtract 24 from both sides
4x > -20 Divide both sides by 4
x > -5
8 1/2 X 3 1/3 plz I need help for class
Answers
Answer:
use a calculator
Step-by-step explanation:
also if this is easier change 1/2 and 1/3 to 0.5 and 0.3 where it would be 8.5 x 3.3
The American Population is living longer. Along with the longevity of life comes additional challenges with both medical and Psychiatric problems. Your patient is about to be discharged from a short-tern rehab center. You overhear the daughter confiding in the nursing student that she cannot handle her mother and will be looking for a Memory care unit to put her mother in. You also hear the student nurse who was raised in a foreign country state, " I would NEVER put my mother in a home. I would take care of her woth my two sisters junti she dies.
what considerations might you make withthis students. Address the cultural differneces in elder care and adress the conself od "Role Strain" in caring for special populations.
Answers
Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.
What is the cultural Strain?Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.
Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.
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At the local Theatre of the Arts, tickets cost $4 for children and $5 for adults. In the opening Saturday night of a play, the theater made $540. The second day was a matinee and the prices were lower for children at $3 and the same price as Saturday for adults. They made $440 at the matinee.
A) Write a system of equations in standard form that represents the prices at the Theatre on Saturday and the second day.
B) Rewrite the system of equations in slope-intercept form. What are the y-intercepts of both equations?
Answers
A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.
B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.
A) Let's define the variables:
Let x represent the number of children attending.
Let y represent the number of adults attending.
On Saturday night:
The equation for the revenue generated on Saturday night is:
4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).
Matinee on the second day:
The equation for the revenue generated at the matinee is:
3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).
Therefore, the system of equations in standard form is:
4x + 5y = 540
3x + 5y = 440
B) Let's rewrite the system of equations in slope-intercept form:
On Saturday night:
4x + 5y = 540
Rearranging the equation, we get:
5y = -4x + 540
Dividing both sides by 5, we get:
y = (-4/5)x + 108
The y-intercept of this equation is 108.
Matinee on the second day:
3x + 5y = 440
Rearranging the equation, we get:
5y = -3x + 440
Dividing both sides by 5, we get:
y = (-3/5)x + 88
The y-intercept of this equation is 88.
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solve the system of equations y = 2x - 5; y = -2x + 3
Answers
Answer:
Solving gives us the result, x = 2, y = -1
Step-by-step explanation:
The system of equations is,
y = 2x-5
y=-2x+3
equating the two equations, we get,
(since y = y)
\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)
and then since y = 2x-5
\(y=2(2)-5\\y=-1\)
so, x =2, y = -1
I am lost please help thank you all
Answers
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
What is the solution to the equation below?
Answers
Answer:
X=4
Step-by-step explanation:
The solution is in the file
Explanation: Determine the defined range. Write the number in exponential form with the base of 2. Use log a y (a^x) = x/y to simplify the expression.
Add fractions. Divide by both sides by 3. Convert the logarithm into exponential form.
el producto de dos números pares positivos es cuatro veces el menor, más 48 ¿ cual es el producto?
Answers
Answer:
El número más pequeño es
6
Step-by-step explanation:
Deje que el número más pequeño sea
s
(
→
el número mayor es
s
+
2
)
s
⋅
(
s
+
2
)
=
48
→
s
2
+
2
s
-
48
=
0
→
(
s
-
6
)
(
s
+
8
)
=
0
→
s
=
6
o
s
=
-
8
(+3
+(+2)
help me with directed numbers pls
Answers
Answer:
5
Step-by-step explanation:
(+3 + (+2))
Remove the brackets.
3 + (+2)
3 + 2
Add the numbers.
= 5
Answer:
+5 or 5
Step-by-step explanation:
(+3)+(+2)
=> According to the rule, ( + )( + ) = ( + )
So,
=> +3+2
=> +5
Find the solution to the system of equations.
3x + y + z = 6
3x - y + 2z=9
y+ Z=3
O A. x = 2, y=-1, z = 5
O B. x = 1, y = 0, z = 3
O C. x = 5, y = -2, z = 6
O D. x = 2, y = 1, z = 4
Answers
Answer:
B. x = 1, y = 0, z = 3
Step-by-step explanation:
Systems of linear equations are readily solved by a suitable calculator or spreadsheet. The attached calculator display shows the solution to be ...
x = 1, y = 0, z = 3
__
There are several ways a calculator can solve these equations. The method shown here is to input the equations as an augmented matrix of their coefficients, and reduce it to row-echelon form. The right-most column of the reduced matrix is the set of variable values in the same order as the coefficients.
A graphing calculator can also be used to graph the equations. You may have to write one variable in terms of the others. (Here, it is convenient to let z=3-y.) The second attachment shows the solution (x, y) = (1, 0). This is sufficient to choose the correct answer. Or, you can finish the solution by substituting into the expression for z: z = 3 -y = 3 -0 = 3.
Many calculators will solve the system of equations after you enter it as presented in the problem statement.
A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs (to 2 decimals)? In an actual experiment, consumers were asked to pick the design they preferred. The following data were obtained. Do the data confirm the belief that one design is just as likely to be selected as another?
Design Number of Times Preferred
1 5
2 15
3 30
4 40
5 10
Answers
Answer:
20%
Step-by-step explanation:
p(outcomes)=#of favourable outcomes/#of possible outcomes
=1/5
=0.2
=20%
Which measurement is most accurate to describe the weight of an apple
Answers
Answer: (BRAINLIEST PLEASE)
120 g.
Step-by-step explanation:
Answer:
1/4 of a pound
Step-by-step explanation:
Х 8 А 3 D 4
PLEASE HELP
Answers
Answer:
X=4
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answers
Answer:
0,8,5
Step-by-step explanation:
x+22 <32
Subtract 22 from each side
x+22-22 <32-22
x <10
The choices that fit
0,8,5
Answer:
Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.
Step-by-step explanation:
x + 22 < 32
This problem is fairly simple! All we need to do is substitute each number given for x and compute to find out if the equation will be true! First what we need to do is plug in each number given into our variable x. Our numbers are: 0, 10, 8, 71, 15, and 5
x = 0
0 + 22 < 32
22 < 32
Is 22 less than 32? It is! So it belongs to the solution set.
x = 10
10 + 22 < 32
32 < 32
32 is equal to 32, not less than 32. A number cannot be itself and less than itself, thus x = 10 does not belong to the solution set.
x = 8
8 + 22 < 32
30 < 32
Is 30 less than 32? Yes! Since the inequality is true (that's what these kinds of equations are called) it belongs to the solution set.
x = 71
71 + 22 < 32
94 < 32
Is 94 less than 32? No. 71 does not belong to this solution set.
x = 15
15 + 22 < 32
37 < 32
37 is not less than 32. Therefore it doesn't belong to the solution set.
x = 5
5 + 22 < 32
27 < 32
Is 27 less than 32? Yes. Therefore, it belongs to the solution set.
Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.
Which sports location had the largest increase in the attendance in month 1 to the attendance in month 7?
Answers
For this problem, we are given the attendance graph of three sports centers in the span of 7 months. We need to identify which of the three centers had the largest increase in attendance during this time.
To solve the problem, we need to compare the attendance of each sports center in month 7 with their attendance in month 1.
The Coors field seems to have a growth in attendance of 2.5 horizontal bars, the Petco Park seems to have a growth in attendance of 4.8 bars and the Turner field seems to have a growth in attendance of 3.9 bars. With thi,s we conclude that Petco Park saw the highest growth in attendance.
The answer is Petco Park.
Biometric measures evaluate: Question 17 options: data about a person's heartbeat, perspiration levels, respiration, and body movements. data about a person's attitudinal changes. changes in sales after exposure to an emotional advertisement. increases in verbal responses to questions posed in focus groups.
Answers
Answer:
data about a person's heartbeat, perspiration levels, respiration, and body movements.
Step-by-step explanation:
the answer to the question is that
biometric measures are useful for evaluating data like that of heartbeat, perspiration levels, respiration, body movements of a person.
Biometrics is useful for the evaluation of the physical characteristics of a person. such a measure is for authentication and security identification. the system gives allowance for certain features of a person to be recognized using biometric data and also algorithm.
On average, a car will depreciate by about 21% of its value each year. If anew car costs $20,000, which equation can be used to find theapproximate number of years, n, the car takes to reach a value of $7,790?
Answers
The formula for the final value of an object after n years with decrease in cost at rate of r% per year is,
\(FV=IV(1-\frac{r}{100})^n\)Determine the relation between initial value and final value of car.
\(\begin{gathered} 7,790=20,000(1-\frac{21}{100})^n \\ 7,790=20,000(0.79)^n \end{gathered}\)Last option is correct.
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
Answers
Answer:
A) Mr. Simpson's class; it has a larger median value 14.5 pencils.
Step-by-step explanation:
A box plot is a visual display of the five-number summary:
Minimum value = The value at the end of the left whisker.Lower quartile (Q₁) = The left side of the box.Median (Q₂) = The vertical line inside the box.Upper quartile (Q₃) = The right side of the boxMaximum = The value at the end of the right whisker.From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:
Mr Johnson's class:
Median = 11IQR = Q₃ - Q₁ = 14 - 8 = 6Range = max - min = 45 - 7 = 38Mr Simpson's class:
Median = 14.5IQR = Q₃ - Q₁ = 21 - 12 = 9Range = max - min = 50 - 0 = 50In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.
The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.
The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).
As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.
In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.
Use the GCF to factor 28x + 42.
HELLP PLS
Answers
Answer:
The GCF will be 14 and the factored answer will be 14(2x+3)
Step-by-step explanation:
I got u homie. BTW trust me.
The factor of 28x + 42 using GCF is 14 (2x + 3) and GCF is 14.
What is GCF?The largest positive integer that divides each of the integers is known as the greatest common divisor of two or more non-zero integers. The greatest common divisor of two numbers x and y is represented by the symbol.
Given expression:
28x + 42,
Take common 14 as the GFC of 28 and 42 is 14,
14 (2x + 3)
Therefore, the factor of 28x + 42 using GCF is 14 (2x + 3) and GCF is 14.
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Find the equation of the line through the point (10,-6) that is perpendicular to the line with equation -11x-18y=-2070
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Find the equation of the line through the point (10,-6) that is perpendicular to the line with equation
-11x-18y=-2070
Step 2:
The details of the solution are as follows:
\(\begin{gathered} Given\text{ that:} \\ -11x\text{ - 18y = -2070} \\ We\text{ have that:} \\ -18y\text{ = 11x - 2070} \\ Divide\text{ both sides by -18, we have that:} \\ y\text{ = }\frac{11\text{ x}}{-18}\text{ }\frac{-2070}{-18} \\ Then,\text{ we have that:} \\ y\text{ = }\frac{-11\text{ x}}{18}\text{ + 115} \\ comparing\text{ this with:} \\ y\text{ = mx + c , then m = }\frac{-11}{18} \end{gathered}\)\(\begin{gathered} For\text{ perpendicular lines, we have that:} \\ m_1m_2=\text{ -1} \\ Then,\text{ we have that:} \\ m_2=\text{ -1 x }\frac{18}{-11}=\text{ }\frac{18}{11} \\ Hence,\text{ m}_2=\frac{18}{11} \end{gathered}\)\(\begin{gathered} We\text{ have the point:} \\ (\text{ 10 , - 6 \rparen} \\ Using\text{ the formulae:} \\ y\text{ - y}_1=\text{ m}_2\text{ \lparen x - x}_1) \end{gathered}\)\(\begin{gathered} We\text{ have that:} \\ y\text{ - \lparen-6\rparen =}\frac{18}{11}\text{ \lparen x - 10 \rparen} \\ Multiply\text{ through by 11, we have that:} \\ 11y\text{ + 66 = 18x - 180} \\ Rearranging,\text{ we have that:} \\ 11y\text{ = 18x -180 - 66} \\ 11y\text{ = 18 x -246} \end{gathered}\)CONCLUSION:
The final answer is:
\(11\text{ y = 18 x - 246}\)