I have no idea what that x is doing, so imma take it out.
2+x-5≤0
-3+x≤0
+3 +3
x≤3
---
hope it helps
A line contains the points (6,-4) and (0,-2). What is the equation of the line?
Answer:
The equation of the line is:
[tex]y = -\frac{1}{3}x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept, that is, the value of y when x = 0.
(0,-2)
This means that the y-intercept is -2, that is, [tex]b = -2[/tex]. So
[tex]y = mx - 2[/tex]
Finding the slope:
When we have two points, the slope is given by the change in y divided by the change in x.
We have points (6,-4) and (0,-2).
Change in y: -2 - (-4) = -2 + 4 = 2
Change in x: 0 - 6 = -6
Slope: [tex]m = \frac{2}{-6} = -\frac{1}{3}[/tex]
So the equation of the line is:
[tex]y = -\frac{1}{3}x - 2[/tex]
Find the cost to pave the parking spot.
Answer:
$800
Step-by-step explanation:
A = h × w
h = [tex]6\frac{2}{3}[/tex] m
w = 3 m
A = [tex]6\frac{2}{3}[/tex] m × 3 m
A = 20 m
each square meter costs $40
20 m × $40 = 800
answer: $800
type the missing number that makes these fractions equal
12/18 = ?/6
Answer:
12/18 = 4/6
Step-by-step explanation:
Maurice's teacher asked him to compare the mean and median of the data distribution explain and correct Maurice's error in comparing the mean and the median
The first part where he mentions "The distribution is skewed right" is correct. The tail on the right hand side is pulled longer than it should be, or longer compared to the left tail. "Right skew" or "skewed right" is the same as "positively skewed". They all mean the same thing.
The portion where Maurice says "This implies that the mean is less than the median" is incorrect. This is where his error is located. The reason for the error is because it should be "The mean is greater than the median" when we have right-skewed data like this.
Here's one example to see why this is the case. Consider the distribution {1,2,3,4,5}. We can see that the median is 3 since it's directly in the center. The mean is also 3 since we add up all the values and divide by 5. Symmetric data has mean = median. Now, we'll replace the '5' with something much larger to get a large outlier. Let's say we have the set {1,2,3,4,55}. The median is still 3. The outlier doesn't pull on the median. However, the mean has changed and it is (1+2+3+4+55)/5 = 65/5 = 13. The mean went from 3 to 13. Therefore, mean > median here. The mean is affected by outliers. Think of it like the outlier is pulling on the mean in a sort of magnetic way. This outlier makes the mean larger than it should be. If the outlier is extreme enough, then it sometimes makes sense to consider the trimmed mean as opposed to the regular arithmetic mean. The trimmed mean is the mean of the main cluster of values ignoring the outlier(s).
-----------------------
To recap:
If we have right skewed data, then mean > median
As you can probably guess, if we had left-skewed data, then mean < median. In symmetric data, mean = median.
Yessir my ultimate goal has been achieved lol
Step-by-step explanation:
congratulations happy for you
Miguel is making trail mix. He uses 5 1/3 ounces of nuts and 2 3/4 ounces of raisins. Which
of these is a reasonable estimate for how much more nuts Miguel uses than raisins?
HELP FAST
PLEASE HELP ASAP
I have $70 how much do i need to get to $140.34?
Answer:
$70.34
Step-by-step explanation:
Answer:
you need 70.34
someone help, please this is due today, and its delta math if someone can help me
Answer:
52.48x ≤ 288.64
x≤5.5, x=5
Step-by-step explanation:
First off, we must find out how much money he has available after buying the bike, reflectors and gloves:
Total spent = (price of bike)+3(price of reflectors)+(price of gloves)
=233.09+3(16.38)+29.13
=311.36
600-311.36=288.64, so he has $288.64 left to spend on outfits.
The cost of x amount of outfits is found by multiplying the amount of outfits, x, by the cost per outfit, 52.48: 52.48x. Since he can only spend up to $288.64, 52.48x must be less than or equal 288.64:
52.48x ≤ 288.64
To solve, divide both sides by 52.48:
x≤5.5
(Since he cant buy half of a product, x's maximum value is 5)
Miguel already knows that he will have $550,000 when he retires. If he sets up a payout annuity for 22 years in an account paying 4% interest, how much could the annuity provide each month? Round your answer to the nearest dollar.
Answer:
Monthly withdraw= $3,124.19
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $550,000
Number of periods (n)= 22*12= 264 months
Interest rate (i)= 0.04/12= 0.0033
To calculate the monthly withdrawal, we need to use the following formula:
Monthly withdraw= (PV*i) / [1 - (1+i)^(-n)]
Monthly withdraw= (550,000*0.0033) / [1 - (1.0033^-264)]
Monthly withdraw= $3,124.19
Compound area figuring out this problem . Thank you for those who are able to help with this .
Answer:
Finding the bottom area:
12 + 2 = 14 x 2 = 28
Triangle Area: 4 + 2 = 6 x 4 = 24 divided by 2 is 12
Top left figure area is:
2 x 8 = 16
Add all of it together: 28 + 12 + 16 = 56
Order the angles from smallest to largest, I need help with it
Answer: <F, <D, <E
Step-by-step explanation:
The smallest angle is determined by looking at the shortest side, and then going across from it. Then medium, 5, across. And so on.
Olivia goes to Egypt and saw a model of triangle shaped pyramid. She enlarging using a scale factor of 1.2. What will be the perimeter and area of the new triangle pyramid?
Help in these two! See these questions below.
Answer:
16. y = 7x
17. y = x + 6
Determine which of the four levels of measurement (nominal ordinal, interval ratio) is most appropriate for the data below.
Class times measured in minutes
Answer:
Ratio
Step-by-step explanation:
The measurement of time is measured in ratio scale
An animal shelter has 34 dogs and 62 cats. Find the ratio of dogs to cats
Answer:
17 : 31
Step-by-step explanation:
[tex]\frac{34}{62} =\frac{17}{31}[/tex]
Answer:
17:31
Step-by-step explanation:
We can simplify the ratio 34 : 62 by dividing both terms by the greatest common factor (GCF).
The GCF of 34 and 62 is 2.
Divide both terms by 2.
34 ÷ 2 = 17
62 ÷ 2 = 31
Therefore:
34 : 62 = 17 : 31
How can I prepare for the math sat as someone who really struggles to understand math.. videos aren’t really helping
Answer:
i could tutor you
Step-by-step explanation:
Answer:
Khan Academy. Just do some work on different topics you have learned. Brush up on it. They have practice problems, assessments, and assignments. If you need help they have hints and videos.
I'm terrified of the SAT but i have to take the Pre SAT soon and i haven't been learning anything with online school.
Step-by-step explanation:
Solve k-73 0.Graph the solution
The solution is
The data set below gives the prices (in dollars) of cordless phones at an electronics store. 35, 50, 60, 60, 75, 65, 80
This data set of cordless phone prices at an electronics store shows a range of values from a low of 35 dollars to a high of 80 dollars.
What is data?Data in mathematics is information that is used for analysis. It is typically presented in a structure format such as a table or graph and can be used to draw conclusions in make predictions. Data can come from a variety sources including service experiment observation and stimulation. Data can be quantitative or quantitative and can be used to describe relationship between variables or to compare different setup data.
The prices appear to be fairly evenly distributed, with the median price being 60 dollars and the mode being 60 dollars as well.
No two prices are the same, indicating that the store offers a variety of models and prices.
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Apply the following rule to the point (-5,6):
(x,y)-->(y,-x
(-5,-6)
(5,-6)
(6,5)
(-6,5))
Answer:
(5,−6)
Step-by-step explanation:
on edge
Jason made the following calculations. Explain the errors Jason made. Give the correct answers.
a. 1/3 + 3/5 = 4/8
b. 11/12 - 5/6 = 6/6 = 1
Answer:
a. 14/15
b. 1/12
Step-by-step explanation:
a) 1/3 + 3/5
so find the lowest common multiple for the denominators which is 15
then say 15 ÷ 3 = 5
then 15 ÷ 4 = 3 (you are dividing by the denominators)
say 5 × 1 (multiple by the numerators now)
= 5
= 5/15
now say 3 × 3 = 9
= 9/ 15
now it's 5/15 + 9/15
= 14/15
Jason made an error that he just added the denominators without applying any formula.
b. 11/12 - 5/6
find the lcm
= 12
11/ 12 × 1/1 = 11/12
5/6 × 2/2 = 10/12
11-10
= 1
= 1/12
Jason made a mistake that he said 12-6 instead of finding the LCD them multiplying that fractions
The errors Jason made that he did not take LCM of denominators.
What are denominators?In math, a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into.
Given are some calculations done by Jason,
We know that, to add two fractions, we take LCM of denominators and then divide the numerator by LCM and the add,
a) 1/3 + 3/5 = 4/8
Here, Jason have not taken LCM of denominators
Correction =
[tex]\frac{15(\frac{1}{3} )+15(\frac{3}{5}) }{15} \\= \frac{5+9}{15} \\=\frac{14}{15}[/tex]
b) 11/12 - 5/6 = 6/6 = 1
Again, the error is the same.
LCM(6, 12) = 12
Correction =
[tex]\frac{12(\frac{11}{12})+12(\frac{5}{6)} }{12} \\= \frac{11-10}{12} \\= \frac{1}{12}[/tex]
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The state of Rhode Island covers an area of approximately 3 x 10^9square meters. The state of Alaska covers an area of approximately
2 x 10^12square meters.
About how many times larger is the area of the state of Alaska than the area of the state of Rhode Island?
O A. 150 times larger
B. 670 times larger
O c. 1500 times larger
D. 6700 times larger
Answer:
its like 430 times larger, probably A or B
Step-by-step explanation:
Evaluate 12.3p+11.9r when p=7 and r=8.
what is 20+(5 X 2/5 )+ 3
Answer: 2x+ 23
Step-by-step explanation:
You can only simplify
Can someone help me? I'll reward points and brainalist
Answer: I think it D for number 2 and b for number 3
Step-by-step explanation:
Answer:
1) B. 2) A.
Step-by-step explanation:
For number 1, put 30 into the equation. (3•30-5). When solved, your answer is 85, the same as the top. They are vertical angles which makes the two equal.
For number 2, I tried to draw the triangles on paper and the one that wasn't possible was A. The side 6 would be too long to connect to 4 or 3.
Employees at the ACME paper bag corporation have two fast food restaurant chains located next to the corporate parking lot: Carl's Jr. and Wendy's. Due to time restrictions the ACME employees eat their lunches either at Carl's Jr. or Wendy's and nowhere else. If today an employee eats lunch at Wendy's, then tomorrow the probability they'll eat lunch at Wendy's is 10% otherwise they'll eat lunch at Carl's Jr. If today an employee eats lunch at Carl's Jr., then tomorrow the probability they'll eat lunch at Carl's Jr. is 40% otherwise they'll eat lunch at Wendy's. If on Monday an employee eats lunch at Carl's Jr. what is the probability they'll eat lunch at Carl's Jr. Wednesday?
Answer:
0.7 = 70% probability they'll eat lunch at Carl's Jr. Wednesday.
Step-by-step explanation:
We have that:
Carl's Jr on Monday.
On Tuesday:
40% probability of Carl's Junior.
100 - 40 = 60% probability of Wendy's.
On Wednesday:
If on Tuesday it was on Carl's Junior, 40% probability of Carl's Junior on Wednesday.
In on Tuesday it was on Wendy's, 100 - 10 = 90% probability of Carl's Junior on Wednesday.
What is the probability they'll eat lunch at Carl's Jr. Wednesday?
[tex]p = 0.4*0.4 + 0.6*0.9 = 0.7[/tex]
0.7 = 70% probability they'll eat lunch at Carl's Jr. Wednesday.
1. If 4r – 10 = 18, what is the value of 2r + 9?
Answer:
23
Step-by-step explanation:
4r-10=18
4r=28
4r/4=28/4
r=7
2(7)+9=23
What is the factorization of the polynomial below?
-X^2-15x - 56
Answer:
[tex]-\left(x+7\right)\left(x+8\right)[/tex]
Step-by-step explanation:
[tex]-X^2-15x - 56\\\\\mathrm{Factor\:out\:common\:term\:}-1\\\\=-\left(x^2+15x+56\right)\\\\=-\left(x+7\right)\left(x+8\right)[/tex]
Answer:
[tex]-(x+7) (x+8)[/tex]
Step-by-step explanation:
[tex]-x^{2} - 15x-56[/tex]
Write - 15x as a difference
[tex]-x^{2} -7x-8x-56[/tex]
Factor out - x from the expression
[tex]-x(x+7)-8x-56[/tex]
Factor out - 8 from the expression
[tex]-x (x+7)-8(x+7)[/tex]
Factor out - (x + 7) from the expression
[tex]-(x+7)x(x+8)[/tex]
The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x – 4), find BD.
A1
B3
C6
D9
Answer: c6
Step-by-step explanation:
The measure of the diagonal BD is 15 units.
What is a square?A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.
Given that, the diagonals of square ABCD intersect at point E.
Here, BE = 2x + 1, and AC = 3(6x-4)
Now, AC=BD
BD=2BE
So, 3(6x-4)=2(2x+1)
18x-12=4x+2
18x-4x=2+12
14x=14
x=1
So, BD=3(6x-1)=15
Therefore, the measure of the diagonal BD is 15 units.
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Please someone help me with the question
Answer:
[tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]
[tex]\displaystyle \frac{d}{dx}[e^{3x}] = 3e^{3x}[/tex]
General Formulas and Concepts:
Algebra I
Terms/CoefficientsExponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Calculus
Derivatives
Derivative Notation
eˣ Derivative: [tex]\displaystyle \frac{d}{dx}[e^x] = e^x[/tex]
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{d}{dx}[e^{2x}] = \frac{d}{dx}[e^x \cdot e^x][/tex]
[tex]\displaystyle \frac{d}{dx}[e^{3x}] = \frac{d}{dx}[e^x \cdot e^{2x}][/tex]
Step 2: Differentiate
[tex]\displaystyle \frac{d}{dx}[e^{2x}][/tex]
[Derivative] Product Rule: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = \frac{d}{dx}[e^x]e^x + e^x\frac{d}{dx}[e^x][/tex][Derivative] eˣ Derivative: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = e^x \cdot e^x + e^x \cdot e^x[/tex][Derivative] Multiply [Exponential Rule - Multiplying]: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = e^{2x} + e^{2x}[/tex][Derivative] Combine like terms [Addition]: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex][tex]\displaystyle \frac{d}{dx}[e^{3x}][/tex]
[Derivative] Product Rule: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = \frac{d}{dx}[e^x]e^{2x} + e^x\frac{d}{dx}[e^{2x}][/tex][Derivative] eˣ Derivatives: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = e^x(e^{2x}) + e^x(2e^{2x})[/tex][Derivative] Multiply [Exponential Rule - Multiplying]: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = e^{3x} + 2e^{3x}[/tex][Derivative] Combine like terms [Addition]: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = 3e^{3x}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Please help!! PLEASE!!!
Answer:
30%
Step-by-step explanation:
subtract the post-discount price from the pre-discount price
64.99 - 45.49 = 19.50
divide the answer by the original price
[tex]\frac{19.50}{64.99}[/tex] = 0.30
multiply the answer by 100
0.30 x 100 = 30%
to check:
take the original number and multiply it by the decimal form of the percentgae:
64.99 x 30% (0.30) = 19.50
take the answer and subtract it from the orginal answer
64.99 - 19.50 = 45.49
