Answer:
x = -3 + i√6 and x = -3 - i√6
Step-by-step explanation:
Let's apply the "completing the square" method to find the roots of this equation.
Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x. Then subtract the same quantity:
x^2 + 6x + 15 becomes
x^2 + 6x + 3^2 - 3^2 + 15 = 0
Rewriting the first three terms as the square of a binomial, we ge:
(x + 3)^2 - 9 + 15 = 0, which simplifies to:
(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6
Taking the square root of both sides:
x + 3 = ±i√6
Then the two roots are complex:
x = -3 + i√6 and x = -3 - i√6
What is the slope?
What is the y intercept?
What is the equation of the line written in slope-intercept from?
Answer:
Step-by-step explanation:
As we move along the graph from x = 2 to x = 3 (a change of 1), y decreases from y = 100 to y = 0 (a change of -100). Thus, the slope of this line is
m = rise / run = -100/1 = -100.
The y-intercept is the point where the graph crosses the y-axis, and is (0, 200).
The equation of this line in slope-intercept form is y = -100x + 200
At a sale, dresses were sold for $142 each. If the dresses originally cost $200 each, what percentage of its original price was a dress sold for?
Answer:
71%
Step-by-step explanation:
All you have to do is divide 142 by 200 to get the percent, which is 70.
What is the perimeter of this polygon?
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15 PTS!!!!!!!!!!!!
What is the product of -2/7 and -3/7?
Answer:
6/49
Step-by-step explanation:
-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.
What is the domain of the relation shown?
will mark as branliest
Answer:
2 or 4
Step-by-step explanation:
162 divided by 4.1 estimate
Answer:
40
Step-by-step explanation:
162/4.1= 39.51 round to 40
The solution of the equation after dividing would be 40.
Used the concept of the divide that states,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
162 divided by 4.1
Now divide the numbers,
162 divided by 4.1
It can be written as,
162 ÷ 4.1
162 / 4.1
1620/41
This gives,
39.512
Rounded to whole numbers,
40
Therefore, the solution is 40.
To learn more about the divide visit:
brainly.com/question/28119824
#SPJ6
Is the equation 2x + 5 = 1 true, false, or open? Explain.
Answer:
open
Step-by-step explanation:
beacause
2x+5=1
2x=1-5
2x=-4
x=-4/2
x-2 so its open
An open statement is a statement that has an unknown variable
[tex]2x + 5 = 1[/tex] is an open statement
The equation is given as:
[tex]2x + 5 = 1[/tex]
From the equation, we have the following observations.
2, 5 and 1 are constants
x is a variable
Because the equation has a variable (i.e. x), then it is an open statement
Hence, [tex]2x + 5 = 1[/tex] is an open statement
Read more about open statements at:
https://brainly.com/question/11151728
8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?
Answer:
iacbsc kakwc s s k kd sdidv d lm vdfj
Step-by-step explanation:
The new owners of Bluegrass Natural Foods, Inc., have hired you to help them diagnose and cure problems that the company has had in maintaining adequate liquidity. As a first step, you perform a liquidity analysis. You then do an analysis of the company’s short-term activity ratios. 3
Your calculations and appropriate industry norms are listed.
Current ratio bluegrass 4.5 industry norms 4.0
Quick ratio bluegrass 2 industry norms 3.1
Inventory turnover bluegrass 6 industry norms 10.4
Average collection period bluegrass 73 days industry norms 52 days
Average payment period bluegrass 31 days industry norms 40 days
a. What recommendations relative to the amount and the handling of inventory could you make
to the new owners?
b. What recommendations relative to the amount and the handling of accounts receivable could
you make to the new owners?
c. What recommendations relative to the amount and the handling of accounts payable could you
make to the new owners?
Answer:
I don't understand make is more simplify
PLZZZZZ HELP MEEEEEEEE
Answer:
i am confused
Step-by-step explanation:
the bits on it is not that good to look at
Choices would be
x = -0.4
x = 10
x = 2
X = -10
Answer:
The first one is
The second one is -
The third one is -.
The last one is
Step-by-step explanation:
ALSO I would really appreciate if you could check out our math channel. It is called Evimero Academy
Thank you so much and have a good day
85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given parameters
Percentage of all teachers the works in summer = 85%
Number of teachers sampled = 6 teachers
Unknown:
The probability that they all work in summer = ?
Solution:
Now, to solve this problem, let us find the number of teachers that works in summer from the given size;
Number of teachers = 85% x 6 = 5.1;
Since it is not possible to have 5.1 people, the number of teachers will be 5
The probability = [tex]\frac{5}{6}[/tex]
please help me i’m so confused
Which fraction and decimal forms match the long division problem? A. B. C. D.
Answer:
C 4/15 and 0.266 repeating
Step-by-step explanation:
I used a calculator
An adult seal at a marine park consumes 2,400 kilograms of food in one year. If it consumes the same amount of food every month, how many kilograms of food does the seal consume per month?
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is
proportional, how many calories are there in 180 crackers?
x х
12
15
y
60
75
36 calories
108 calories
720 calories
900 calories
PLEASE HELP QUICK!!
Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make
Answer:
6
Step-by-step explanation:
hehdhrhrhrhrbrhhffh
How would you describe the difference between the graphs of f(x) =2/3x^3 and g(x)=2/3(-x)^3
A. g(x) is a reflection of f(x) over the line y = x.
B. g(x) is a reflection of f(x) over the y-axis.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the line y = 1.
Which situation describes a real-life rate?
Your uncle buys 2 gallons of milk and uses
of the milk to bake a cake.
O The computer has been on for 1.5 hours.
O A basketball player runs 10 feet down the court in 2 seconds.
O You run 2 miles on Monday, 3 miles on Tuesday, and 2 miles on Thursday.
Answer:
The computer has been on for 1.5 hours
100 points! hard problem!
Answer:never gonna give you up
Step-by-step explanation:by rick astley
"you wouldnt get this from any other guy and i just wanna ask you how your feeling, gotta make you underatnd, never gonna give you up, never gonna let you down."
nEvEr gOnnA giVe U uP
A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the slope of the regression line?
A:For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
B;For each increase in number of procrastination days by 1, the predicted grade decreases by 96.5 points.
C;For each increase in grade by 1 point, the predicted number of procrastination days decreases by 96.5 days.
D:For each increase in grade by 1 point, the predicted number of procrastination days decreases by 3.64 days.
Answer:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Step-by-step explanation:
The slope of a Regression Line
A straight line can be represented in the slope-intercept form:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope describes how fast and in what direction the graph goes when x changes values.
If m is positive, increments in x imply increments in y.
If m is negative, increments in x imply decrements in y.
The regression line is:
ŷ = –3.64x + 96.5
Where:
x = the number of procrastination days
ŷ = the predicted grade
We can say the slope is m=-3.64. This means that:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Pretty sure the guy above me is right, although I have not checked on edge.
(A) For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
kinda sucks how theres nothing for stats on here but i hope to help a little =================================
if you're looking for "What is the predicted grade of a student who procrastinated for 2 days?" as-well, the answer for that seperate question is (C) 89.22 .
=================================
ED2021
Find the arc length of a 80° slice of a large 15 in. radius pizza.
Answer:
20.93 inStep-by-step explanation:
Arc length formula:
s = 2 π r (θ/360°)Substitute values:
s = 2*3.14*15(80/360) = 20.93 inEC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?
Answer: 6, 21, 3
Step-by-step explanation:
2:7:1
Also, 2x 7x and 1x or just x
2x+7x+x = 30
10x = 30
x=3
So the three numbers: 2(3):7(3):1(3) OR 6:21:3
Which of the following inequalities is correct?
Answer:
B
Step-by-step explanation:
What is the slope of the graph of
4x + 3y = 15?
Answer:
-4/3
Step-by-step explanation:
y=mx+b
3y=-4x+15
y= -4/3 x +5
m is slope b is y intercept
If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *
Answer:
48,410$ in 2021
Step-by-step explanation:
3% of 47,000 is 1,410
add the 3% increase to 47,000 to get 48,410$
Answer:
[tex]48[/tex],[tex]410[/tex]
Step-by-step explanation:
__________________________________________________________
[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]
[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]
__________________________________________________________
[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]
[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]
__________________________________________________________
Hope this helps! <3
__________________________________________________________
"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]
[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]
Please Help These Are All My Points.
Hunter earns $16 per hour tutoring students after school. If Hunter tutored for 12 hours this month, how much money did he earn this month?
Answer:
Step-by-step 4explanation:
What is the distance between the points M (-21,-7) and N (-5,-7)?
A.28 units
B.16 units
C.26 units
D.14 Units
