8 = 2/3(x - 4)^2
Take the sqrt of both sides
Sqrt(8) = 2/3(x - 4)
Divide each side by 2/3
(3 * sqrt(2)) = x - 4
Add 4 to both sides
(3 * sqrt(2)) + 4 = x
What is 5(2+x+3) Simplified ?
Answer:
25+5x
Step-by-step explanation:
Answer:
5x + 25
Explanation:
5(2 + x + 3)
2 + 3 = 5
5(x + 5)
Apply Distributive Property:
5(x) = 5x
5(5) = 25
Add
= 5x + 25
Write the augmented matrix for each system of equations.
7x-9y+ 3z = 6
- 2x - 6y + 10z = 3
-3x - 5y + 5z = -1
Answer:
The answer is 100% B
Step-by-step explanation:
I took the test
Solve each equation.
5x-4=4x
Steps to solve:
5x - 4 = 4x
~Subtract 5x to both sides
-4 = -x
~Divide -1 to both sides
4 = x
Best of Luck!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5x - 4 = 4x}[/tex]
Move 4x to left hand side and change it's sign
Similarly, move 4 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{5x - 4x = 4}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{x = 4}}[/tex]
Hope I helped!
Best regards! :D
Find the equation of a line with the given points. (2,- 7) (-2,9)
answers are: y=4x-17, y=2x-5, or y=-4x+1
Answer: y=-4x+1
Step-by-step explanation: the slope of the 2 points is -4 and in the answers -4x represents the slope.
Answer:
y= -4x +1
Step-by-step explanation:
Please see the attached picture for full solution.
Find the overall score for the student with the following weighted system and average
scores. Round to the tenth.
Weight Grade
Tests
55% 78.5
Homework
25% 80
Take home quizzes
15% 72
Participation
5% 50
Answer: 76.475
Step-by-step explanation:
___________weight(%) ___Grade
Tests _______55% ______78.5
Homework __25% ______ 80
Th quizzes__15% _______72
Participation_5% _______50
Overall score = Σ (weight% × grade)
Hence,
(55% * 78.5) + (25% * 80) + ( 15% * 72) + (5% * 50)
43. 175 + 20 + 10.8 + 2.5
= 76.475
Hence, overall score = 76.475
3x - 5 =35 what is x ?
Answer:
x=403
Step-by-step explanation:
Let's solve your equation
Hey there! I'm happy to help!
We want to get x all by itself on one side to find out what it is equal to.
We add 5 to both sides.
3x=40
And we divide both sides by 3.
x=13 1/3
Have a wonderful day! :D
How to solve equations
the exchange rate of US dollars to Bolivianos is $1 to 6.91 Bolivianos. if an item in the Bolivian market costs 482 bolivianos, how many US dollars does it cost?
Answer:
77.9
Step-by-step explanation:
$1=B6.19
therefore; B6.19=$1
B1=$1\6.19
B482=$1\6.19×482
B482=482÷6.19
B482=77.8675283
B482=77.9
the midpoint of GH is M(4,-3) One endpoint is G(2,-2) find the coordinates of endpoint H
please help
Answer:
(6,-4)
Step-by-step explanation:
Midpoint = (x1+x2)÷2 , (y1+y2)÷ 2
Sub the values in,
(4,-3) = (2+X)÷2 , (-2+Y)÷2
Therefore cordinates of H is (6,-4)
Solve the system by graphing.
y = 3x - 4
y= - 2x + 1
For the function f(x) = x^2+ 3, what are the outputs for the inputs -3, 2, 0, and 5?
please help i have a learning disability with math and this is due tonight im literally having so many breakdowns
Answer:
F(-3)=12
F(2)=7
F(0)=3
F(5)=28
Step-by-step explanation:
Patrick is collecting data on shoe size. What type of data is this?
a. qualitative data
b. discrete quantitative data
c. continuous quantitative data
d. none of the above
The data that Patrick is collecting on shoe size is discrete quantitative data. Hence, option B is the right choice.
What is qualitative data?Qualitative data is information that cannot be counted, quantified, or stated numerically. It is derived from text, voice, and images and is disseminated via data visualization techniques such as word clouds, concept maps, graph databases, timelines, and infographics.
What is quantitative data?Quantitative data are numerical measurements of values or counts. Quantitative data are numerical variables (e.g. how many; how much; or how often).
These are of two types:
Discrete quantitative data: A discrete quantitative variable can only take particular numeric values (rather than any value in an interval), but those precise numeric values have a clear quantitative interpretation.Continuous quantitative data: A continuous quantitative data set is a data set that represents a measuring scale that can include numbers other than whole numbers, such as decimals and fractions.How to solve the question?In the question, we are informed that Patrick is collecting data on shoe size.
We are asked what type of data this will be.
As shoe sizes are given in numeric values, it is quantitative data.
And as these numbers are whole numbers, it is discrete quantitative data.
Thus, the data that Patrick is collecting on shoe size is discrete quantitative data. Hence, option B is the right choice.
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An automated call machine can handle
8.86 minutes of calls before it sends a
report. How many reports would ft send
for 53.16 minutes of calls?
A. 0.06 report
C. 6 reports
D. 60 reports
B. 0.6 report
Need ASAP
An investment earns 11% simple interest. What amount of principal is needed to have $4500 after 6 years? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
Formula =P×R×T=I
P×11/100×6=4500
66/100p=4500
100/66×66/100=4500×100/66
P=6818.1818.......
=6818.18
1. The speed of light is 3 x 10^8 meters per second. The sun is approximately 230,000,000,000 meters from Mars. How many seconds does it take for sunlight to reach Mars?
2.If the sun is approximately 1.5 x 10^11 meters from Earth, what is the approximate distance from Earth to Mars? (Note: Use 230,000,000,000 from previous question, which was the sun's distance from Mars.)
Answer:
1. About 760 seconds.
Step-by-step explanation:
Using a calculator, I figured 3 x 10^8 and got 300,000,000. Then, I divided 230,000,000,000 by 300,000,000 to get 759.9 seconds.
Answer:
2. About 80,000,000,000 kilometers. (80 billion.)
Step-by-step explanation:
Again using a calculator, I figured 1.5 x 10^11 and got 150,000,000,000. Then, I subtracted 150,000,000,000 from 230,000,000,000 (230,000,000,000 - 150,000,000,000.) And got an answer of 80 billion.
Answer:
1. 7.6*10^2
2. 8*10^10
Step-by-step explanation:
1. (2.3*10^11)/(3*10^8)
0.76*10^3
The answer above isn’t in boundaries of 1-10 but smaller than 10 so you move it a 10th to the right and now you have to take one exponent away because you did that so you end up with:
7.6*10^2 0r 760 secs
2. (2.3*10^11)-(1.5*10^11)
(2.3-1.5) *10^11
0.8 *10^11
The ‘0.8’ isn’t in boundaries of 1-10 but less than 10 so you move it a 10th to the right which will be 8. Now you gotta do the exponent thing (explained earlier). You should end up with:
8*10^10 or 80 billion
True or False A-B = B-A
Answer:
False
Step-by-step explanation:
Let's say A is 1 and B is 12.
For the first part 1 - 12= -11 and the second part 12 - 1 = 11.
-11 and 11 are not equal.
Hopefully that helps and have a great day!
What would the answer be and why?
Answer:
Solution: First option
Step-by-step explanation:
An increase in demand and a decrease in supply will cause an increase in the equilibrium price, but the effect on quantity is unclear.
Reasoning: For any quantity, the 'buyers' places a higher value on the goods, so the 'manufactures' must place higher values in order to distribute the good. Thus the price increases, but the output depends on the size of the two factors and which dominates, (1) pricing, (2) goods.
What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form. A. Show your work. B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7? Explain your answer.
Answer:
A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.
6x³ - 5x² - 39x + 35 = 0
B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?
No it is not.
Step-by-step explanation:
A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.
(2x - 5) (3x² + 5x - 7)
= 2x(3x² + 5x - 7) -5(3x² + 5x - 7)
= 6x³ + 10x² - 14x -15x² - 25x +35
Collecting like terms
= 6x³ +10x² - 15x² - 14x - 25x +35
= 6x³ - 5x² - 39x + 35
In standard form
6x³ - 5x² - 39x + 35 = 0
B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?
First we find the product of
5x - 2 and 3x² + 5x - 7?
(5x - 2) (3x² + 5x - 7)
5x(3x² + 5x - 7) -2(3x² + 5x - 7)
15x³ + 25x² - 35x - 6x² -10x + 14
Collect like terms
15x³+ 25x² - 6x² -35x - 10x + 14
15x³ + 19x² - 45x + 14 = 0
Hence, the product of 5x - 2 and 3x^2 + 5x - 7
= 15x³ + 19x² - 45x + 14 = 0
The product of 2x -5 and 3x^2 + 5x -7 = 6x³ - 5x² - 39x + 35 = 0
Comparing both products, we can see that
The product of 2x -5 and 3x^2 + 5x -7 ≠ the product of 5x - 2 and 3x^2 + 5x - 7
PLEASE HELP ITS TIMED!!!!!!
Answer:
C. -1
Step-by-step explanation:
f(x) = x^2 - 3x - 4g(x) = | x +3 | -2--------
f(x) = g(x)1. For x+3 ≥ 0 ⇒ x ≥ -3, g(x) = x + 3 - 2
x^2 - 3x - 4 = x + 3 - 2x^2 - 4x - 5 = 0(x- 5)(x + 1) = 0x = 5, x = -1x = -1 is one of the options2. For x + 3 < 0 ⇒ x < -3, g(x) = - (x +3) - 2
x^2 - 3x - 4 = -(x + 3) - 2x^2 - 3x -2 = -x - 3x^2 -2x + 1 = 0(x - 1)^2 = 0x = 1 > -3, so no solutionsI can't figure out how to do this problem.
Have you tried multiplying 5(3)+2(2)+1?
15 + 4 + 1 = 20 ?
Im sorry I'm not real good with math.
Answer:
20
Step-by-step explanation:
x=3
y=2
5x +2y +1
5 ×3 +2×2 +1
15 +4 +1
20
Which graph represents a proportional relationship?
Answer:
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
Step-by-step explanation:
Option D is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. Each point (x, y) on the graph, is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
Therefore, option D is the correct answer.
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f(x)=(x^(2))/(\sqrt(x))+|x-8| whats f(4)
Answer: I think the answer is 20
Answer:
20
20
20
20
Step-by-step explanation:
Please help please please please
Answer:
10/12
Step-by-step explanation:
All other answers can be simplified to 3/5.
21 - 6x > 34
What’s the answer
Answer:
Step-by-step explanation:
21 - 6x > 34
-6x > 13
x < -13/6
what is 1.667 as a fraction
Step-by-step explanation:
hoped this helped have a nice day
The simplified fraction for 1.667 is 10/6.
To express 1.667 as a fraction, we can follow these steps:
Step 1: Rewrite the decimal as a fraction without the decimal point.
1.667 → 1667
Step 2: Determine the denominator by counting the number of decimal places.
In this case, the decimal has three places, so the denominator will be 1000.
Step 3: Simplify the fraction, if possible.
In this case, the fraction 1667/1000 is already in its simplest form.
Therefore, the simplified fraction for 1.667 is 1667/1000.
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What is the minimum value of the graph of y = cos(x)?
Answer:-1
Step-by-step explanation:
C
Answer:
C. -1
Step-by-step explanation:
Edge 2020
g(x)=3x^2-5x-9 find g(x+2)
Pls help ASAPPP I mark BRAINIEST
Answer:
The missing number is 5
Step-by-step explanation:
Let x be the number
Plug x in: [tex]\frac{5}{7} = \frac{1}{7}x[/tex] Divide each side by 1/7 to cancel out the 1/7 next to x. It should now look like this: 5 = xI hope this helps!
Determine the value of x in the figure.
Question 20 options:
A)
x = 9
B)
x = 3
C)
x = 6
D)
x = 4.5
In Test A, suppose you make 100 experimental measurements of some quantity and then calculate mean, standard deviation, and standard error of the numbers you obtain. In Test B, suppose you make 1000 experimental measurements of the same quantity and you again calculate mean, standard deviation, and standard error. How would you expect the mean, standard deviation, and standard errors found in Test A and Test B to compare?
Answer:
D. I would expect the means and standard deviations in the two tests to be about the same, but the standard error in Test B should be smaller than in Test A.
Step-by-step explanation:
Options Includes "A.) I would expect the means, the standard deviations, and the standard errors in Test A and Test B to be about the same.
B.) I would expect the means of the two tests to be about the same, but both the standard deviation and the standard error in Test B should be smaller than in Test A .
C.) I would expect the means of the two tests to be about the same, but both the standard deviation and the standard error in Test B should be bigger than in Test A .
D.) I would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be smaller than in Test A.
E.) would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be larger than in Test A.
Reason:
Since we are measuring the same quantity 100 times and 1000 times respectively in both the tests, we would expect the means and standard deviations to not be significantly different from each other. The standard errors would differ, though, since the formula is = Standard deviation/square root of sample size. Since the sample sizes of both the tests are so significantly different, the corresponding standard errors will also be significantly different. More specifically, the standard error of Test B will be smaller than that of Test A.
This question is based on standard deviation.Therefore, the correct option is D i.e. I would expect the means and standard deviations in the two test to be about the same, but the standard error in test B should be smaller than in test A.
Given:
In Test A,make 100 experimental measurements of some quantity. In Test B, suppose you make 1000 experimental measurements of the same quantity.
Options are include here.
Here, we are measuring the same quantity 100 times and 1000 times respectively in both the tests, we would expect the means and standard deviations to not be significantly different from each other.
The standard errors would differ, though, since the formula is
[tex]= \bold{\dfrac{Standard \;deviation}{Square \;root\; of\; sample \;size}}[/tex]
Hence,the sample sizes of both the tests are so significantly different, the corresponding standard errors will also be significantly different. More specifically, the standard error of Test B will be smaller than that of Test A.
Therefore, the correct option is D i.e. I would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be smaller than in Test A.
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