Find the x - and y -intercepts of the graph of the function f(x)=−4|x+3|+8
Answers
The x- and y-intercepts of the graph of the function f(x) = −4|x + 3| + 8 are as follows;
x-intercepts = -5 and -1.
y-intercept = -4.
What is the x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
What is y-intercept?In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
In this exercise, we would use an online graphing calculator to plot the linear function in order to determine the x-intercepts and y-intercepts as shown in the image attached below.
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Related Questions
Classify the following as Discreet or Continuous and justify your choice. 4.1.1 I am fifty years old. 4.1.2 I can drink 400,5ml of juice in a minute. 4.1.3 I have 2 brothers and 1 sister. PL (3) (3) (3)
Answers
Answer:
Step-by-step explanation:
4.1.1 "I am fifty years old" is an example of a discrete variable, as age is typically measured in whole numbers, not fractions or decimals.
4.1.2 "I can drink 400.5 ml of juice in a minute" is an example of a continuous variable, as the amount of juice consumed can be any value along a continuous range of possible values, including fractional amounts.
4.1.3 "I have 2 brothers and 1 sister" is an example of a discrete variable, as the number of siblings is typically measured in whole numbers.
In summary, 4.1.1 is a discrete variable, 4.1.2 is a continuous variable, and 4.1.3 is a discrete variable.
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depe
Determine whether 318 is divisible by 2, 3, 4, or 6.
O2, 3, 4, and 6
O3 and 6 only
O2, 3, and 6 only
O2 and 3 only
Submit
Pass
Answers
To check if it is divisible by 3, we can sum its digits (3 + 1 + 8 = 12), and since 12 is divisible by 3, 318 is divisible by 3.
To check if it is divisible by 4, we need to see if its last two digits, 18, are divisible by 4. Since 18 is not divisible by 4, 318 is not divisible by 4.
Finally, to check if it is divisible by 6, we need to see if it is both even and divisible by 3. Since 318 is both even and divisible by 3, it is divisible by 6.
Therefore, the answer is "2, 3, and 6 only".
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A two-digit number is formed using the digits 1, 2 and 3. Repetition of digits is allowed. (a) List the sample space. (b) Find the probability that the two-digit number formed is (i) divisible by 3, (ii) a perfect square, (iii) a prime number, (iv) a composite number.
Answers
Answer:
two plus two equals five
Step-by-step explanation:
kevin and sam are having a competition on their bikes to see who can ride at a faster rate. kevin rides 600 meters in 45 seconds while same rides 800 meters in 55 seconds which choice best describes who is the faster rider?
A. kevin he rides 10 second faster than sam
B.kevin he rides 13.33 meters per second
C.Sam he rides 800 meters total which is 200 more than Kevin
D.Sam he rides 14.5 meters per second which is over a meter per second faster than kevin
Answers
Answer:
D.Sam he rides 14.5 meters per second which is over a meter per second faster than kevin
Step-by-step explanation:
Kevin:
Distance = 600m
Time = 45s
Speed = Distance/time = 600/45 = 13.33m/s
Sam:
Distance = 800m
Time = 55s
Speed = 800/55 = 14.54m/s
Therefore option D will be the answer
Find the volume of the figure.
Answers
Answer:
see below
Step-by-step explanation:
memorize the following formula:
V = 1/3 * lenght * width * height = 1/3 * 3*6*4 =24
Calculate the Social Security and Medicare deductions for the following employee (assume a tax rate of 6.2% on $128,400 for Social
Security and 1.45% for Medicare): (Round your answers to the nearest cent.)
Employee
Rouche
$
Cumulative earnings
before this pay period
Pay amount this
period
122,300 $
Social
Security
Medicare
Answers
Answer:
Social Security: $7582.60Medicare: $1773.35Step-by-step explanation:
You want to know the Social Security and Medicare taxes on an annual income of $122,300, given the respective tax rates are 6.2% and 1.45%.
TaxThe income is less than the Social Security maximum of 128,400, so the 6.2% tax applies to the full amount. Each tax amount is found by multiplying the income by the tax rate:
SS: $122,300 × 0.062 = $7582.60 . . . . Social Security tax
Med: $122,300 × 0.0145 = $1773.35 . . .Medicare tax
covert the given amount go the given unit
3 qt ; liters
Answers
Answer:
Below
Step-by-step explanation:
1 qt = .9463529 L
3 Qt * .9463529 L/Qt = 2.84 Liters
man bought a second hand car for $8 500, spent $1 500 on repairs and then sold it for $12 000. what was his percentage profit?
Answers
Answer:
20%
Step-by-step explanation:
He spent (8500+ 1500) = 10 000 then sold it for 2000 MORE
Profit = 2000 / 10 000 * 100% = 20%
y=4 over x + square x + 0.2 - 5x
Answers
Answer: The expression Y = 4 / (x + sqrt(x) + 0.2) - 5x represents a mathematical function that maps values of x to values of Y. The input x represents the independent variable and Y represents the dependent variable. For any given value of x, the expression calculates the value of Y.
Step-by-step explanation:
Suppose 2.5 liters of water come out of a faucet each minute. For how many minutes was the faucet on if 38.5 liters of water came out?
Answers
Answer:
15.4 min
Step-by-step explanation:
rate = liters/min = 2.5 l/min
time = liters/rate = 38.5 l / (2.5 l/min) = 15.4 min
9
She wants to find the distance from barn B to the north end of pipe 2. The distance from the barn
to the south end of pipe 1 is 111 ft, the distance from there to the south end of pipe 2 is 23 ft, and
the distance from the barn to the north end of pipe 1 is 127 ft. How far is barn B from the north
end of pipe 27 Round your answer to the nearest foot. The map is not drawn to scale. M
Answers
The distance of barn B from the north end of pipe 27 is 258 ft to the nearest foot.
How to calculate distance?Let's call the distance from Barn B to the north end of pipe 2 as "d".
The distance from the barn to the south end of pipe 1 is 111 ft, the distance from there to the south end of pipe 2 is 23 ft, and the distance from the barn to the north end of pipe 1 is 127 ft.
So the total distance from barn B to the south end of pipe 2 is 111 + 23 = 134 ft.
Since the distance from barn B to the north end of pipe 1 is 127 ft, then the distance from the north end of pipe 1 to the north end of pipe 2 is d - 127 ft.
Since the distance from barn B to the south end of pipe 2 is 134 ft, then the distance from the south end of pipe 2 to the south end of pipe 1 is 134 - d ft.
Now, two right triangles with legs (d - 127) ft and (134 - d) ft.
By the Pythagorean Theorem, we have: (d - 127)² + (134 - d)² = 25²
Expanding and simplifying the equation gives us:
d² - 260d + 17296 = 625
d² - 260d + 16671 = 0
Using the quadratic formula:
d = (260 ± √(260² - 4 x 16671)) / 2
d = (260 ± √(677600 - 66768)) / 2
d = (260 ± √(61032)) / 2
d = (260 ± 246.9) / 2
d = 258 ± 123.5
So, the distance from barn B to the north end of pipe 2 is 258 ft or 381 ft.
Since the question asks to round the answer to the nearest foot, we can conclude that the answer is 258 ft.
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Mary draws the number line below to represent the solution set of the inequality 50-8f<90. What mistake did Mary make? Use the drop-down menus to explain your answer.
-8 -6 -4 -2
Mary divided both sides of the inequality by a
Choose...
value, so she needed to Choose...
inequality symbol.
Answers
The solution to the inequality 50 - 8f < 90 is f > -5
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
Inequality is an expression that is used to show the non equal comparison of numbers and variables
Given the equation:
50 - 8f < 90
subtract 50 from both sides:
50 - 8f - 50 < 90 - 50
-8f < 40
Divide both sides by -8:
-8f / -8 < 40 / -8
f > -5
The solution to the inequality is f > -5
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A postman delivers mail daily starting on Day 1. The conditional probability that he is bitten by a dog onDay n, given that he has not been bitten on any of the preceding days, equals qn. Let X be the number ofdays until the postman sustains his first bite (i.e., the first bite occurs on Day X).(a) Write an expression for P(X > n) in terms of qi’s.(b) Write an expression for P(X = n) in terms of qi’s.For the remainder of the problem, let qn = α for all n, where 0 < α < 1.(c) What is the probability that the postman is never bitten by a dog? Justify your answer.
Answers
The probability that the postman is never bitten by a dog is equal to the product of all qi's from i=1 to infinity, which is equal to (1-α)^∞. This is equal to 0 since α is a positive number.
The probability that the postman is never bitten by a dog is given by P(X > n), where X is the number of days until the postman sustains his first bite. This probability can be expressed as the product of all of the qi's from i=1 to n, which is equal to (1-α)^n, where qn = α for all n, and 0 < α < 1. The probability that the postman is never bitten by a dog is equal to the product of all qi's from i=1 to infinity, which is equal to (1-α)^∞. Since 0 < α < 1, (1-α)^∞ is equal to 0, meaning that the probability that the postman is never bitten by a dog is 0. This is because as n increases, the probability that the postman is not bitten by a dog on Day n decreases, and as n approaches infinity, it approaches 0.
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The graph of the function g(x) = a |x| includes the point (1, 16). What is another point on the graph of the function? What is the value of a?
Answers
The graph of the function g(x) = a |x| includes the point (1, 16). (-1, 16) is another point on the graph of the function.
What is function?Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and co-domain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.
Given that,
g(x) = a |x|
In a absolute value graph the value of y is the same in -x and x.
Then if the coordinates (x,y) one point is (1, 16), the graph have another point in (- 1, 16).
To find the value of a you use one of the points (x,y) in the general form of absolute value:
( 1 , 16) x = 1 f(x) = y = 16
16 = a | 1 |
As, |±a| = a
we get:
16 = a . 1
then, a = 16
The equation for the graph with points (1 , 16) and ( -1, 16) is:
g(x) = 16 |x|
a = 16
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a survey of 155 155 students asked which of the following three beverages they liked: sodas, coffee, or bottled water. the results are given in the following table.
Answers
The price of caviar crashed from $24 an ounce in January 2012 to a bit less than $10 an ounce in November 2018. China has become a big producer and from 2012 to 2017, U.S. imports of Chinese caviar increased fivefold.
Source: CNN Money, May 20, 2015
Use the demand and supply model to explain why the quantity of caviar consumed has increased and the price of caviar has fallen.
What most likely happened to the demand for caviar and the quantity of caviar demanded?
Part 2
Draw a graph to illustrate your explanation.
The graph shows the market for caviar.
Draw and label a curve that shows the effect of China becoming a big producer of caviar. Show that the equilibrium price falls to $10 an ounce.
Draw a point to show the new equilibrium price and equilibrium quantity of caviar.
Answers
The real interest rate is the interest rate that has been adjusted for inflation.
what is interest ?By reducing the principal by both the interest rate, by duration of time, and other factors, simple interest is derived. Simple return = principal plus interest plus hours is really the concept used in marketing. The easiest way to compute tax is by using this procedure. The most typical method of calculating income is as a portion of the outstanding sum. For illustration, if he borrows $100 from a buddy and pledges to pay back the loan at 5% interest, he will just pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you should pay interest, and you must collect interest when they lend it. Typically, interest is computed as a percentage of the loan total. The loan's interest is the name given to this percentage.
given
The interest rate charged on a loan expressed in dollars is called the nominal interest rate. The interest rate after accounting for inflation is known as the real interest rate. The nominal interest rate less the inflation rate equals the real interest rate.
The price of the candy bar increased sixfold while the total price level doubled, resulting in a threefold increase in the candy bar's real price (price adjusted for inflation).
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Write an expression for the product (√6)(‾‾‾√15)without a perfect square factor in the radicand.
A. 3‾√5
B. 3‾‾√10
C. 9‾√5
D. 9‾‾‾√10
pls answer quick
Answers
An expression for the product (√6)(‾‾‾√15)without a perfect square factor in the radicand is -3√10. Option A
How to determine the expressionIt is important to note that surds are expressions that includes a square root, cube root or any other root symbol.
They are used to write irrational numbers because the decimals of irrational numbers do not recur, they cannot be written in decimal form.
From the information given, we have the surds;
(√6)(‾‾‾√15)
expand the bracket, we get;
-√90
Find the square root of the value and allow others in radical forms, we get;
- √9 × √10
Find the perfect square, we get;
-3√10
Hence, the value is -3√10
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The arrow on the spinner below is spun once
What is the probability the arrow on the spinner does not stop on a number DIVISIBLE by 3? pls help ty
A. 1/8
B. 1/4
C. 3/4
D. 1/8
Answers
If the arrow on spinner is spun once, then the probability that the arrow do not stop on number which is divisible by 3 is (c) 3/4.
We know that the spinner contains 8 numbers and each number is equally likely to be selected. Out of the 8 numbers, the numbers which are divisible by 3 are {3, 6}.
So, the numbers which are not-divisible by 3 are {1, 2, 4, 5, 7, 8},
We select one of the 6 numbers that are not divisible by 3 out of the total 8 numbers. so, the probability is :
⇒ Probability = (Number of favorable outcomes)/(Total number of outcomes),
⇒ Probability = 6/8,
⇒ Probability = 3/4,
Therefore, the correct option is (c).
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Zachary purchased a computer for $1,800 on a payment plan. Three months after he purchased the computer, his balance was $1,440. Six months after he purchased the computer, his balance was $1,080. What is an equation that models the balance y after × months?
The equation __________ models the balance y after x months.
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Do not include the $ symbol in your answer.)
Answers
Answer:
Equation: y = 1800 - 120x
Step-by-step explanation:
y = 1800 - mx Where x = months after purchase of computer
y = balance remaining
1800 = y-intercept because this is your initial balance remaining as it is the actual price of the computer.
The coefficient of ‘m’ will be negative for this equation because the value of y decreases as x increases. (NOTE: y is NOT indirectly proportional to x as the line of the equation does not pass through the origin)
Next step is to determine 'm’:
m = slope of equation
Two sets of x and y values have been provided:
[tex](x_{2}, y_{2}) = (3, 1440)[/tex]
[tex](x_{3} ,y_{3})= (6, 1080)[/tex]
Use any set and substitute in the slope-intercept equation to determine the value of m:
1080 = 1800 - 6m
All the like terms are brought together and m needs to be isolated:
6m = 1800 - 1080
6m = 720
m = [tex]\frac{720}{6}[/tex]
m = 120
Therefore:
y = 1800 - 120x
please answer the screenshot question
Answers
Answer:
sin(H) = 4/5cos(H) = 3/5tan(H) = 4/3Step-by-step explanation:
You want the primary trig functions of angle H in right triangle FGH with sides FG=12, GH=9, FH=15.
Trig ratiosThe mnemonic SOH CAH TOA is intended to help you with problems like this. Its purpose is to remind you that ...
Sin = Opposite/HypotenuseCos = Adjacent/HypotenuseTan = Opposite/AdjacentWith respect to angle H, the sides are ...
Opposite = 12Adjacent = 9Hypotenuse = 15Then the values you want are ...
sin(H) = 12/15 = 4/5
cos(H) = 9/15 = 3/5
tan(H) = 12/9 = 4/3
The ratio of boys to girls in a class is 3:1. There are 36 students in the class. How
many more boys than girls are there?
Answers
Answer:
There are 18 more boys than girls.
Step-by-step explanation:
Let's think of the ratio 3 : 1 as 3x : x
If 3 : 1 added up is the total students in the class (36) then 4x = 36
Now we just divide 36 by 4
36/4 = 9
so x = 9
The number of boys is 3 * 9 = 27
The number of girls is 9
27 - 9 = 18.
There are 18 more boys than girls.
Answer:
There are 18 more bots than girls.
Step-by-step explanation:
total units=3+1
=4
4 units=36
1 unit=36÷4
=9
difference in units=3-1
=2
2 units=2×9
=18
which represents the solution for the inequality 2x-5>7
a.x>2
b.x>4
c.x>6
d.>10
Answers
Answer: C. x>6
Step-by-step explanation:
2x-5 >7 (Move the constant to the right)
2x >7+5 (Calculate)
2x >12 (Divide both sides by 2)
x> 6 Answer
To solve the inequality 2x - 5 > 7, we can first add 5 to both sides:
2x - 5 + 5 > 7 + 5
Simplifying, we get:
2x > 12
Then, we can divide both sides by 2:
2x/2 > 12/2
Simplifying, we get:
x > 6
Therefore, the solution for the inequality 2x - 5 > 7 is x > 6, which is option c.
Perform the given operation. Round to 4 decimal places if needed.
1.942 ÷ 9.53
Answers
Answer:
0.2060
What is a fraction?A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.
First, multiply both the numerator and the denominator by 1000.
[tex]\frac{1.942}{9.43}[/tex] × 1000 = [tex]\frac{1942}{9430}[/tex]
Now, reduce the fraction to lowest terms. (Extract and cancel out 2.)
[tex]\frac{971}{4715}[/tex]
Convert to decimal.
[tex]\frac{971}{4715}[/tex] ≈ 0.205938494
Round to 4 decimal places.
0.2060
Therefore, 1.942 ÷ 9.53 = 0.2060
Use these graphics to answer the question.
A lobbyist for road safety collects data about accident trends for men and women. Assuming both graphics represent data in the same country, about how many women were involved in accidents while riding in a two wheeler in 2010?
about 50
about 250
about 1,000
about 5,000
Answers
Therefore , the solution of the given problem of graph comes out to be about 5,000 .
What is a graph?To rationally chart or graphically portray events or quantities, academics use graphs. A chart point is a typical tool for showing how various variables interact. Nodes, also known as vertices and lines, make up the non-linear storage arrangement known as a graph. The borders, also referred to as nodes, should be joined together using glue. (4.5) Visualizations, such as flowcharts, graphs, and bar graphs, that graphically depict explosive development within data.
Here,
Based on the graph,
it appears that in 2010, about 5,000 women were involved in accidents while riding in a two-wheeler.
Therefore , the solution of the given problem of graph comes out to be about 5,000 .
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Jaelyn had $150 in the school account and sold tickets for the fundraiser at a cost of
58 per ticket. Erik had $480 in his school account and sold tickets for $6 per ticket. How many tickets had to be sold before both accounts had the same amount of money?
Answers
Answer:
Let x be the number of tickets sold.
Jaelyn's account balance after selling tickets: 150 + 58x
Erik's account balance after selling tickets: 480 + 6x
For both accounts to have the same amount, we set their balance equal to each other and solve for x:
150 + 58x = 480 + 6x
52x = 330
x = 330/52 = 6.25
So 6.25 tickets had to be sold before both accounts had the same amount of money.
What number should go in the space?
Multiplying by 1.19 is the same as increasing by _____%.
Answers
Answer:
19%
Please mark it the brainiest.
Explanation
Multiplying by 1.19 % is the same as multiplying a number by 19% and adding that to your original number.
The “1” in 1.19% gives you the value of original number and “.19” increases it.
Select all the true equations
Answers
B, C, E
--5 + 0 does not equal zero
--any value tomes zero equals zero
--1.4 + 2.7 => 1.0 + 2.0 + 1.1 => 4.1
--2/3(5/9) = 10/27 not 7/12
--4(2/3) = 4.66666 and 5 - 1/3 = 4.66666
Answer:
B, C, and E
Step-by-step explanation:
A is incorrect because any number plus zero results in that number, not 0.
In equation form: [tex]x + 0 = x[/tex]
B is correct because any number multiplied by zero results in 0.
In equation form: [tex]0(x) = 0[/tex]
C is correct. We can split the added numbers into their decimal place values and add the values separately to get 4.1.
[tex]1.4 + 2.7 = (1 + 2) + (0.4 + 0.7) = 3 + 1.1 = 4.1[/tex]
D is incorrect because when multiplying fractions, you simply multiply the numerator and denominator; however, this is not done here.
E is correct because 4 2/3 is one third less than 5; we can show this using improper fractions:
[tex]4 \dfrac{2}{3} = \dfrac{(4 \times 3) + 2}{3} = \dfrac{14}{3}[/tex] [tex]5 = \dfrac{5 \times 3}{3} = \dfrac{15}{3}[/tex]
[tex]\dfrac{15}{3} - \dfrac{14}{3} = \dfrac{1}{3}[/tex]
HELP ME PLEASE I WILL GIVE BRAINLIEST QUICK
Answers
Answer:
27 and 13
Step-by-step explanation:
let the second number be x then the first number is x - 14
sum the 2 numbers and equate to 40
x - 14 + x = 40
2x - 14 = 40 ( add 14 to both sides )
2x = 54 ( divide both sides by 2 )
x = 27
x - 14 = 27 - 14 = 13
the first number is 27 and the second number is 13
HELP PLEASE DUE IN AN HOUR
Answers
Answer:
1; can't say for certain
2: well, the chances of getting a yellow starburst are 1/8th but those are immediately increased depending on how many packs you buy though I can't say for certain how much because I do not know the variable of how many you may possibly buy.
3; the chance of getting 2 yellows in a pack are 1/8ths or 1/16ths as for there's a 1/8th chance of getting one yellow in a pack.
4,5,6;well, considering orange seems most abundant there would be at least a 3/4ths chance of getting orange a 2/4ths chance of getting pink and for the other colors a 1/4th chance of getting yellow or red
Step-by-step explanation:
2.
A new pipeline is being constructed to re-route its oil flow around the exterior of a
national wildlife preserve. The plan showing the old pipeline and the new route is
shown below.
PIPELINE
60 miles
NEW
OLD PIPELINE
32 miles
About how many extra miles will the oil flow once the
new route is established?
101 101
Answers
The new route will require the oil to travel 28 extra miles, for a total of 60 miles.
What is miles?Miles is unit of distance that is commonly used in mega the distance between 2.1 map of the link of that is divided for the letting word measurements. It is sometimes also referred to as as statute mile.
This is because the old route was 32 miles long and the new route is 60 miles long. This means that the extra distance traveled is 28 miles. The extra distance is necessary to ensure that the pipeline does not interfere with the wildlife preserve.
How do you compute miles?One can determine distance in miles assuming that you already understand the speed and the time it takes to travel a specific distance. Easily calculate the time by the speed. For example - A automobile travelling at 64 miles per hour for two hours will have driven 130 miles.
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