Answer:
System 1 : {3,0}; System 2 : {6,-2}
Step-by-step explanation:
2x + 3y = 6
-2x - y = -6
2y = 0
y = 0
-2x = -6
x = 3
system 2
2x + 3y = 6
2x + 2y = 8
y = -2
2x -4 = 8
2x = 12
x = 6
Que sucede cuando dividimos un numero entre si mismo
Answer:
no pasa nada
Step-by-step explanation:
espero que eso te ayude:)
Answer:
Cualquier número dividido entre si mismo da como resultado 1
PLssssssssssssssssssssss help.
What is the equation of a line that passes through (-2, 4) and has a slope of 3?
Equation,
[tex]y - y1 = m(x - x1)[/tex]
Plugging in our values,
[tex]x1 = - 2, \: y1 = 4, \: m = 3[/tex]
[tex]y - 4 = 3(x - ( - 2))[/tex]
[tex]y - 4 = 3(x + 2)[/tex]
So the equation is,
[tex]y - 4 = 3(x + 2)[/tex]
50 POINTS !!
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Answer:
16 yd
Step-by-step explanation:
If a is missing, then use the square root of c^2-b^2. In this case that means you find the square root of 20^2-12^2. 20^2 is 400, and 12^2 is 144. When you subtract 144 from 400 you get 256. The square root of 256 is 16. I hope this helps :)
Answer:
16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Leg a = a
Leg b = 12
Hypotenuse c = 20
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 12² = 20²Evaluate exponents: a² + 144 = 400[Subtraction Property of Equality] Isolate a term: a² = 256[Equality Property] Square root both sides: a = 16What is the product?
StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction
StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
StartFraction x (x minus 1) Over 2 EndFraction
StartFraction (x + 4) (x minus 4) Over 2 x (x minus 1) EndFraction
StartFraction (x minus 4) (x minus 1) Over 2 x (x + 4) EndFraction
Answer:
A
Step-by-step explanation:
The product of the expression [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex] is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]
What is an expression?An expression is an algebraic term used for a mathematical statement that include variables and mathematical operations
Below is how to calculate the product
The product expression is given as:
[tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]
Express x^2 - 16 as a difference of two squares
[tex]\frac{(x - 4)(x + 4)}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]
Divide the expression
[tex]\frac{x - 4}{2} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]
Factorize the other fraction
[tex]\frac{x - 4}{2} * \frac{x(x^2 - 2x + 1)}{(x -1)(x + 4)}[/tex]
Further factorize
[tex]\frac{x - 4}{2} * \frac{x(x- 1)(x - 1)}{(x -1)(x + 4)}[/tex]
Divide
[tex]\frac{x - 4}{2} * \frac{x(x- 1)}{x + 4}[/tex]
Multiply the fractions
[tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]
Hence, the product of [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex] is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]
Read more about algebraic expressions at:
https://brainly.com/question/4344214
Which of the following equations have the same solution as 3x - 5 = 5x + 11
Answer:
x = -8 Hope that helps bye!
Step-by-step explanation:
1. Subtract 3x from both side -5=5x+11-3x
2. Simplify 5x+11-3x= 2x+11
3. Subtract 11 from both sides -5-11=2x
4. Simplify -5-11= -16=2x
5. Divide both sides by 2 -16/2=x
4. Simplify 16/2 = -8 = x
5. Switch sides x= -8 would be your answer and if you want to check it just do 3x-5=5x+11 let x=-8 1. 3×-8-5=5×-8+11
2. 3×-8= -24 do -24-5=5×-8+11
3. Simplify 5×-8= -40 do -24-5=-40+11
4. Simplify -24-5= -29 do -29= -40+11=-29
-29=-29 this shows that x= -8 is your answer if you want to see if I'm right.
PLEASE HELPPP NEED THIS ANSWER BY TONIGHT!!
Answer:
(8, -1)
Step-by-step explanation:
The midpoint given two points (x1, y1) and (x2, y2) is:
([x1 + x2] / 2, [y1 + y2] / 2)
We have the point (x1, y1) as (-8, -7) and the midpoint as (0, -4). We can plug them in and create two equations, one to find x2, and another for y2.
0= [-8 + x2] / 2
0 = -8 + x2
x2 = 8
-4 = [-7 + y2] / 2
-8 = -7 + y2
y2 = -1
Therefore, point B is (8, -1)
Find the surface area of the rectangular prism
What is the value of
(4.1 x 103) (2.0 x 103)
expressed in scientific notation?
Option A is the answer of this question.
Plssss help I’ll mark u brainliest!!!
Answer:
The answer to the question is C
Name the three labeled segments that are parallel to EF
Answer:
Answer D
Step-by-step explanation:
The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.
Calculate the total amount paid for a stock if you purchased 350 shares of the stock at $21.50 per share
the broker's commission is $40 + $0.20/ share
O $7595
O $7635
0 $7525
O $7000
Answer:
7635
Step-by-step explanation:
350(.2+21.5)+40=7635
Answer:
7525
Step-by-step explanation:
you have to multiply
A bag contains 5 red marbles, 6 blue marbles and 9 yellow marbles.
What is the probability of picking out a red marble, putting in back in the bag, and then picking out a yellow marble?
What is the probability of picking out a blue marble, putting it in your pocket, and picking out another blue marble?
Answer:
Step-by-step explanation:
The total number of marbles is 20
Question A
P(Red) = 4/20 = 1/5
P(yellow) = 9/20
P(Red then Yellow) = 1/5 * 9/20 = 9 / 100
Question B
P(B) = 6/20
P(B again) = 5/19 because you have 1 less total plus 1 less blue.
P(B and B) = 6/20 * 5/19
P(B and B) = 30/ 380 = 3/38
HELP PLEASE
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 121212 mm.
What is the volume of each lollipop?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answer:
[tex]V=7.45\times 10^{15}\ mm^3[/tex]
Step-by-step explanation:
The radius of each lollipop is 121212 mm
We need to find the volume of each lollipop. The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Put all the values,
[tex]V=\dfrac{4}{3}\times 3.14\times (121212 )^3\\\\V=7.45\times 10^{15}\ mm^3[/tex]
So, the volume of each lollipop is equal to [tex]7.45\times 10^{15}\ mm^3[/tex].
Evaluate each expression for n= -5.
5. n-6
6.-15-n
7. n-(-12)
8. 1-n
Answer:
Hello!
5: -11
6: -10
7: 7
8: 6
Hope that helps!
Which of the following represents the opposite of -|-8|?
Answer:8
Step-by-step explanation:
If I remember correctly, if the numbers are inside the lines like these || that means absolute value. So the negative sign would cancel out and the one on the outside would carry over, making it a -8. The opposite of -8 is 8.
love yall again thx for the help
Answer :
Cost of running shoes = $92
Cost of total expenditure = $122
It is given that the four pairs of socks cost the same so if we let the cost of one pair of socks as s then 4 pairs of socks will cost us $ 4s
Thus the equation formed will be ,
4s + 92 = 122Option D is the correct answer
Kadence took a random sample of students at her school and asked them how much they typically slept on a school night versus a weekend night. She noticed a positive linear relationship between the times. Here is computer output from a least-squares regression analysis on her sample:
Regression: weekend vs school night
Predictor Coef SE Coef
Constant 3.182 2.319
School night 0.789 0.237
S= 1.75 R-Sq= 20.9%
Required:
What is an appropriate test statistic for testing the null hypothesis that the population slope in this setting is 000?
Answer:
The answer is "3.329".
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\text{test statistic t} = \frac{slope}{standard \ error}[/tex]
[tex]=\frac{0.789}{0.237}\\\\=3.329[/tex]
how many cubic units are there in one layer
Answer:
24 cubic units
Step-by-step explanation:
In the figures above it has 24 cubic units in one layer and it has 8 layers. If you are going to count the total number of cubic units the figure it has 192 cubic units which represent the volume of this figure. If you can still remember that volume of rectangular prism is the productvof its length width and height.
mark me as brainlest
The recommended adequate intake (RAI) of calcium for adults is 1000 mg. per day. To investigate the calcium intake of people living below the poverty level, a researcher obtained a random sample of 18 adults below the poverty level and found a mean daily calcium intake of 947.4 mg.
Required:
a. Determine the margin of error
b. Find 95% confidence interval fo rthe population mean
c. Interpret the confidence inteval. ( explain what it tells us about the estimated mean daily camlium intake for the population).
Answer:
93.50
(853.90 ; 1040.90)
Step-by-step explanation:
Mean, xbar = 947.4 mg
Sample size, n = 18
σ = 188
Margin of Error :
Tcritical * σ/√n
TCritical at 95% , df = n - 1 = 17 = 2.11
Margin of Error = 2.11 * 188/√18 = 93.50
The 95%, confidence interval :
Xbar ±Margin of error
Lower boundary = Xbar - margin of error
Lower boundary = 947.4 - 93.50 = 853.90
Upper boundary = Xbar + margin of error
Lower boundary = 947.4 + 93.50 = 1040.90
(853.90 ; 1040.90)
Assuming the population is normally distributed, find the probability P(x>4.5) given the mean is 6 and the standard deviation is 0.7
Answer:
[tex]P(x > 4.5)= 0.983943[/tex]
Step-by-step explanation:
Given
[tex]\mu = 6[/tex]
[tex]\sigma = 0.7[/tex]
Required
[tex]P(x > 4.5)[/tex]
Start by calculating the z score
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So:
[tex]z = \frac{4.5 - 6}{0.7}[/tex]
[tex]z = \frac{-1.5}{0.7}[/tex]
[tex]z = -2.143[/tex]
So, we have:
[tex]P(x > 4.5)= 1 - P(x < 4.5)[/tex]
This gives:
[tex]P(x > 4.5)= 1 - P(x < z)[/tex]
[tex]P(x > 4.5)= 1 - P(x < -2.143)[/tex]
Using the z score probability table, we have:
[tex]P(x > 4.5)= 1 - 0.016057[/tex]
[tex]P(x > 4.5)= 0.983943[/tex]
Can anybody help me out on this? Thanks.
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Given
[tex]y = -2x^2 + 12x +7[/tex]
Required
The x coordinate of the vertex
Using the general form:
[tex]y = ax^2 +bx +c[/tex]
The x coordinate is:
[tex]x = -\frac{b}{2a}[/tex]
In [tex]y = -2x^2 + 12x +7[/tex]
[tex]a = -2[/tex]
[tex]b = 12[/tex]
[tex]c = 7[/tex]
So, we have:
[tex]x = -\frac{b}{2a}[/tex]
[tex]x = -\frac{12}{2*-2}[/tex]
[tex]x = -\frac{12}{-4}[/tex]
[tex]x = \frac{12}{4}[/tex]
[tex]x = 3[/tex]
Help please
2) The table below represents a linear function.
Find the missing value.
A) 4.2
B) 4.4
C) 4.6
D) 4.8
E) 5.0
Answer:
C. 4.6
Step-by-step explanation:
If you subtract 3.0 from 1.4 you get 1.6, which is the can be added to 3.0 to find the missing value.
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail. A 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Required:
Construct a 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.
Answer:
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.
This means that [tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
According to hypotenuse
39²+b²=65²
b²=65²-39²
b²=4225-1521
b=√2,704
b=52 km
Write the expression 53.7124 x 10 x 3 as a single number.
Answer:
The aswer is buy a rabbit
Step-by-step explanation:
Answer:
1611.372
Step-by-step explanation:
What is the slope of the graph shown below?
A. -2
B. 2
C. -5
D. 5
plz help 5th grade work
Answer:
I don't see where the question is...
Step-by-step explanation:
Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
(one-half, seven-quarters)
(one-half, three-halves)
(1, 1)
(1, 3)
Answer:
[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 - x +2[/tex]
Required
The vertex
We have:
[tex]f(x) = x^2 - x +2[/tex]
First, we express the equation as:
[tex]f(x) = a(x - h)^2 +k[/tex]
Where
[tex]Vertex = (h,k)[/tex]
So, we have:
[tex]f(x) = x^2 - x +2[/tex]
--------------------------------------------
Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
--------------------------------------------
[tex]f(x) = x^2 - x +2[/tex]
[tex]f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2[/tex]
[tex]f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}[/tex]
Expand
[tex]f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}[/tex]
Factorize
[tex]f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]
Factor out x - 1/2
[tex]f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}[/tex]
[tex]f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}[/tex]
Compare to: [tex]f(x) = a(x - h)^2 +k[/tex]
[tex]h = \frac{1}{2}[/tex]
[tex]k = \frac{7}{4}[/tex]
Hence:
[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]
Question: Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
Answer: A or 1/2 , 7/4
Step-by-step explanation:
did it on an assignment on EDGE
Find the circumference of a circle with a radius of 13.5 mm.
Answer:
84.82
Step-by-step explanation:
Answer: 84.82
Step-by-step explanation: