Step-by-step explanation
x=-1
x=4
f(x)= x^3+5x^2
Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Car: 20 000 (2. 16500) 15 000 (G, 10900) Which vehicle will lose all of its value first? Value ($) 10.000 5000 6 8 If the truck's rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first? Years Truck: Years: x Value ($) y 21,000 3 17,700 6 14.400
Answer:
Use the graph and table to answer the questions.
Which vehicle loses the most value each year?
Car
Which vehicle will lose all of its value first?
Car
If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?
Truck
Step-by-step explanation:
Answer:
car car truck
Step-by-step explanation:
How do you write 1.8 x 10 to the power of 2 in standard form.
Answer:
It already is in standard form
1.8*10^2
Answer:
1.8 x 10²(Standard form) = 180 (Real Number)
How to write in standard form?
The rules when writing a number in standard form is that first, you write down a number between 1 and 10, then you write × 10(to the power of a number)
How do you write 1.8 × 10² in standard form?
Write the first number 1.Add a decimal point after it: 1.Now count the number of digits after 1. There are 2 digits.So, in standard form: 180 is 1.8 × 10²Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place
1 = PRT;1 = 5040, P = 24,000, R=0.07 (Simple interest formula)
Answer:
T = Time = 3 years
Step-by-step explanation:
1 = PRT;
1 = Simple Interest = 5040
P = Principal = 24,000
R = Rate = 0.07
T = Time (years) = ? Unknown variable
Making T subject of the formula
T = 1/PR
T = 5040/24,000 × 0.07
T = 5040/1680
T = 3 years
Someone please answer this it’s due today I need help
Answer:
x = 8
Step-by-step explanation:
3x - 5 = 2.5x + 3 - (x - 4)
open parentheis
3x - 5 = 2.5x + 3 - x + 4
3x - 5 = 1.5x + 7
subtract 1.5x from both sides of the equation
3x - 1.5x - 5 = 7
1.5x - 5 = 7
add 5 to both sides of the equation
1.5x = 7 + 5
1.5x = 12
divide both sides of the equation by 1.5
1.5x/1.5 = 12/1.5
x = 12/1.5
x = 8
.
***
9. The game of euchre uses only the 9s, 10s, it is
jacks, queens, kings, and aces from a standard
deck of cards. How many five-card hands have
a) all red cards?
b) at least two red cards?
c) at most two red cards?
Answer
a) From those information we know that have 24 card
In those cards it have 12 red.
12C5=792
B)
at least 2 red card=No restriction- without red card- at least one red card
= 24C5-(12C0*12C5)-(12C1*12C4)
=35772
C) at most 2 red card
24C5-(12C0*12C5)-(12C1*12C4)-(12C2*12C3)
=21252
A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability of at most 2 red cards is 0.5.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Using the given information the number of cards is 24 out of which 12 are red. Therefore, the probability of getting a red card is 0.5.
A) All red cards.
P(X=5) = ⁵C₅ (0.5⁵) (0.5⁰)
= 0.03125
B.) at least two red cards.
P(X≥2) = 1 - ⁵C₀ (0.5⁰) (0.5⁵) - ⁵C₁ (0.5¹) (0.5⁴)
= 0.8125
C.) At most 2 red cards.
P(X≤2) = ⁵C₀ (0.5⁰) (0.5⁵) + ⁵C₁ (0.5¹) (0.5⁴) + ⁵C₂ (0.5²) (0.5³)
= 0.5
Learn more about Binomial Distribution:
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Katie ran 4 miles at a rate of 1.1 miles slower than jasmine hiw many minutes did katie run if jasmine ran 5 miles at 8.4 minutes per mile
Answer:
Katie spent 29.2 minutes
Step-by-step explanation:
Given
Jasmine:
[tex]Distance = 5\ miles[/tex]
[tex]Rate = 8.4\ mins/mile[/tex]
Katie:
[tex]Distance = 4\ miles[/tex]
Rate = 1.1 mins/mile slower than Jasmine
Time spent by Jasmine:
[tex]Time = Distance * Rate[/tex]
[tex]Time = 5\ miles* 8.4mins/mile[/tex]
[tex]Time = 5* 8.4mins[/tex]
[tex]Time = 42\ mins[/tex]
Time spent by Katie:
[tex]Time = Distance * Rate[/tex]
We have that:
Rate = 1.1 mins/mile slower than Jasmine
So,
[tex]Rate = 8.4 - 1.1[/tex]
[tex]Rate = 7.3[/tex]
[tex]Time = 4 * 7.3[/tex]
[tex]Time = 29.2 \ mins[/tex]
A tire shop counted 80 invoices at the end of the month. They charge $325 for a set of new tires and $50 for a set of used tires. The total dollar amount of the invoices was $6,750. Let x represent the number of sets of new tires and y represent the number of sets of used tires. Which system of equations represents the situation?
a. x+y=80
325z=50y + 6,750
b. z+y=80
325x=-50y+6750
c. x+y=80
325x=-50y-6750
d. x+y=80 -325z=-50y + 6,750
Answer:
[tex]x+y = 80\\325x+50y = 6, 750[/tex]
Step-by-step explanation:
Le x represents the set of new tires
Let y be the set of used tires
If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:
[tex]x+y = 80 ............ 1[/tex]
If they charge $325 for a set of new tires, the total amount charged for new tires will be:
[tex]325 \times x \\325x[/tex]
If they charge $50 for a set of used tires, the total amount charged for used tires will be:
[tex]50 \times y\\50y[/tex]
If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:
[tex]325x+50y = 6,750 .............. 2[/tex]
Hence the system of equations represents the situation is:
[tex]x+y = 80\\325x+50y = 6, 750[/tex]
Answer:
x + y = 80
325x = -50y + 6,750
Step-by-step explanation:
The amount of W water used varies directly with the population N of people. City A has a population of 468,000 people and used 37.6 billion gallons of water we would expect City B to use if we know that it's population is 180,000.
Answer:
the anser is 36.6 gallos of weeding in the w
Step-by-step explanation:
3.
During bad weather, you should travel
the posted speed limit.
A. above
B. below
C. at exactly
D. around
Answer:
Below
Step-by-step explanation:
The reason why "lower than" would be the correct answer is because the DMV (Department of Motor Vehicles) requires that all drivers drive lower than the posted speed limit when the weather is not god.
The reason why you should travel lower than the posted speed limit is because it will keep you and others safe of the road. Bad weather can lead to things like less traction, less vision on the road, and etc.
When you drive slower than the posted speed limit during based weather, you're allowing your self more time to react if something happens, less likely to lose grip, and keeps you and others safe from any accidents.
Like they always say, you should never travel at a speed that's dangerous for the current road conditions.
if c= 2m + d ,Wich equation represents m
Answer:
m= (c-d)/2
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
do the math
x + 5 > 7
it’s inequalities
Answer:
X>2
Step-by-step explanation:
X+5>7
X>2
×= 7+5=12
×=12
always add the the numbers and the letter is always the answer of what u have gotten.
4+ (-2) + 3(5) simplify
Answer:
Step-by-step explanation:
when there is a + in front of an expression in parentheses, the expression remains the same.
multiply the numbers. 4-2+15
calculate the sum
and u get 17!
A rectangular room measuresn 11 feet by 6 feet. find the cost of installing a strip of wallpaper around the room if the wallpaper costs $0.98 foot
Total cost=$
Answer:
The answer is it will cost $64.68.
Step-by-step explanation:
It is (11 x 6)$0.98
g A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 6% margin of error at a 95% confidence level, what size of sample is needed
Answer:
Sample size required is 267 people
Step-by-step explanation:
The explanation is given in the attachment below
function rule y=3x-3
Answer:
-15, -9, -3, 3
Step-by-step explanation:
First One:
y =3(-4)-3 is -15
Second:
y= 3(-2)-3 is -9
Third:
y= 3(0)-3 is -3
Last One:
y= 3(2)-3 is 3
Most new buildings are required to have a ramp for the handicapped that has a maximum vertical rise of 11 feet for every 132 feet of horizontal distance.
Answer:
11/132 = 1/12
Step-by-step explanation:
just put the rise over the run and simplify
Which of the following pairs of numbers have a greatest common factor of 6?
Select all that apply.
A 6 and 3
B 30 and 36
C 24 and 48
D 60 and 88
E 18 and 66
F 72 and 84
9514 1404 393
Answer:
B, E
Step-by-step explanation:
The greatest common factor can be found a number of ways. Easiest is to make use of your knowledge of multiplication tables and divisibility rules.
Here, the GCFs are ...
A 6 and 3 --- 3
B 30 and 36 --- 6
C 24 and 48 --- 24
D 60 and 88 --- 4
E 18 and 66 --- 6
F 72 and 84 --- 12
_____
Additional detail on finding the GCF
You can factor numbers to see which factors are common:
60 = 2^2 × 3 × 5
88 = 2^3 × 11 . . . . . . . so 2^2 = 4 is the GCF of 60 and 88
You can use the Euclidean algorithm:
Divide the larger by the smaller and keep the remainder; Replace the larger with the remainder and repeat. If the remainder is zero, the divisor is the GCF.
84/72 = 1 r 12
72/12 = 6 r 0 . . . . 12 is the GCF of 72 and 84
what is -1 8/9 divided by 1/3?
thanks!
(pls answer this quickly)
Answer: -17/27
Step-by-step explanation:
LOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOL PT 5 LAST ONE
Answer:
tnbrverwerbtnymu
Step-by-step explanation:
Answer:
THANK YOU SO MUCH !!!!
Keep an eye out for major points! The questions require you to think logically, and are really fun. Correct answers get brainlest! I am just earning more points then i will post.
i’ll mark brainlest! pls help :(
Answer:
square root: [tex]\sqrt{61}[/tex]
decimal: 7.81
Step-by-step explanation:
5) h(n) = -2n^2+ 4; Find h(4)
Answer:
h(4) = -28
General Formulas and Concepts:
Substituting into functionsOrder of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
h(n) = -2n² + 4
h(4) is n = 4
Step 2: Solve
Substitute: h(4) = -2(4)² + 4Exponents: h(4) = -2(16) + 4Multiply: h(4) = -32 + 4Add: h(4) = -284(x + 1) = 4x + 4
The equation has infinite solutions.
A value of x that makes the equation true is
which when substituted into the
equation and simplified makes the equation turn into
Another value of a that makes the equation true is
which when substituted
into the equation and simplified makes the equation turn into
Answer:
the 4 can change to any nummber
Step-by-step explanation:
What is 25% of $40? Explain.
Answer:
10
Step-by-step explanation:
25% of $40 = [tex]\frac{25}{100}[/tex] × [tex]\frac{40}{1}[/tex] [tex]\frac{25}{100}[/tex] × [tex]\frac{40}{1} = \frac{1000}{100}[/tex] [tex]\frac{1000}{100} = \frac{10}{1} = 10[/tex]I hope this helps!
Translate the sentence into a
Twice the difference of a number and 8 is 2.
Use the variable c for the unknown number.
Answer: 16 - C
Step-by-step explanation:
So basicly, what it is asking is to solve this problem. I would like to call it a puzzle because there is a missing part that we have to find. Let's get this started!
Here is the equaiton: 2 x (8 - C)
First, we will multiply 8 by 2.
8 x 2 = 16
Now the equation is: 16 - C
We don't know what C is, so this equation is as done as we can do it.
what is the sum of 2/5 and 3/6?
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5} +\frac{3}{6}[/tex]
[tex]\frac{12}{30} +\frac{15}{30}[/tex]
[tex]\frac{27}{30}[/tex]
[tex]\frac{9}{10}[/tex]
The set A = {1, 3, 5}. What is a larger set this might be a subset of?
Answer:
Step-by-step explanation:
A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.
For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.
Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET
So, the number of maximum subsets we can create from the given set is 8.
Subsets:The subsets of any set consists of all possible sets including its elements and the null set. Let us understand with the help of an example.
Example: Find all the subsets of set A = {1,2,3,4}
Solution: Given, A = {1,2,3,4}
Subsets =
The subsets of any set consisting of all possible sets including its elements and the null set. Let us understand with the help of an example.
Example: Find all the subsets of set A = {1,2,3,4}
{}
{1}, {2}, {3}, {4},
{1,2}, {1,3}, {1,4}, {2,3},{2,4}, {3,4},
{1,2,3}, {2,3,4}, {1,3,4}, {1,2,4}
{1,2,3,4}
So, the formula is [tex]2^n[/tex].
The given set is,
[tex]A = \{1, 3, 5\}[/tex]
Here the number of an element is 3.
So, the maximum number of subsets we can create is,
[tex]2^n=2^3=8[/tex]
Learn more about the topic Subsets:
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If x= 12 and y=3, what is the value of x-y²?
Answer:
3
Step-by-step explanation:
X=12 Y=3^2
Y^2=3x3 Which equals 9 therefore it is 12-9 which equals 3
Answer:
I believe the answer would be 3.
Step-by-step explanation:
I hope this helps
The following data points represent the number of slices of pizza that each person at Thorton's birthday
party ate.
Sort the data from least to greatest.
7
9
3
2
4
3
1
Find the median number of slices.
slices
Least Greatest
1, 2, 3, 3, 4, 7, 9
Median: 3
Which equation demonstrates appropriate use of the distributive property?
A. 9 (x + 2y) = 9x + 2y
B. 9 (x + 2y) = 9x + 18y
C.9 (xy) (9x) (9y)
D. 9 (x + 0) - 9x + 9
Answer:
B
Step-by-step explanation:
(I’m sorry for the horrible quality but please help ASAP) which proportion can be used to show that the slope of PR Is equal to the slope of rt?
Answer:
Correct option: F.
Step-by-step explanation:
The slope of a line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.
For PR, use P=(-7,7) R=(-4,3). Now calculate the slope
[tex]\displaystyle m=\frac{3-7}{-4-(-7)}[/tex]
For RT, use R=(-4,3) (2,-5). Calculate the second slope:
[tex]\displaystyle m=\frac{-5-3}{2-(-4)}[/tex]
If both slopes are equal, then:
[tex]\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}[/tex]
Correct option: F.
