What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? Please help
Answers
Answer:
[tex] {( \bold {\purple{ \boxed{ x + 7}}})}^{2} = \: \bold {\purple{ \boxed{ 9}}}[/tex]
Step-by-step explanation:
[tex] - 2 {x}^{2} - 28x = 80 \\ \\ - 2( {x}^{2} + 14x) = 80 \\ \\ {x}^{2} + 14x = - 40 \\ \\ {x}^{2} + 2.x. \bold{ \red{7 }}+ 49 = - 40 + 49 \\ (add \: square \: of \: 7 \: both \: sides)\\ \\ {x}^{2} + 14x + {7}^{2} = 9 \\ \\ {( \bold {\purple{ \boxed{ x + 7}}})}^{2} = \: \bold {\purple{ \boxed{ 9}}}[/tex]
Related Questions
On each request the ith of n possible books is the one chosen with probability pi. To make it quicker to find the book the next time, the librarian moves the book to the left end of the shelf. Define the state at any time to be the sequence of books we see as we examine the shelf from left to right. Since all the books are distinct this list is a permutation of the set
{1, 2,... n}, i.e., each number is listed exactly once. Show that Ï(i1,... in)= pi1. pi^2/1-pi_1 . pi^3/1-pi_1- pi_2 ........ pi^n/1-pi_1- pi_2.....pi_n is a stationary distribution.
Answers
Answer:
attached below
Step-by-step explanation:
loops have permutations , steps to show that the given set of permutations is a stationary distribution is attached below
⚠️HELP DUE TODAY⚠️
The area of a rectangular garden is x^2- 5x - 24. Factor the trinomial to find the dimensions of the rectangular garden in terms of x
Answers
Answer: (why is it 5 points?) Thats ok.
5 times what X is - 24 meaning whatever X is also by sry i don't make a lot of sense but i'm smart and know the answer. I will change it later after i find out which shouldn't take too long.
Step-by-step explanation:
Thanks, stay safe, have a great life! Byes! Brainliest then i will give answer! ;) :) :P XD :3 (: hehe :)
Simplify (-9p+7)-(-9p+3)
Answers
[tex]\tt{}( - 9p + 7) - (9p + 3)[/tex]
[tex]\tt{} - 9p - 7 + 9p + 3[/tex]
[tex]\tt{}7 - 3[/tex]
[tex]\tt{}4[/tex]
Pleasseeeeeeeeee help[pppppppppp i will answer any of your questionsssss pleaseeeeeeeeeeee
Answers
Answer:
The dependent variable is c and the independent variable is s
Step-by-step explanation:
S does not rely on anything. C relies on the answer to the equation.
this is my last question
Answers
Answer: B
Step-by-step explanation:because my teacher said she having trouble
this question is confusing me
Answers
a paper popcorn cone measures 4 inches in a diameter and is 9 inches high?
Answers
Explanation is in the file
tinyurl.com/wtjfavyw
Answer:
A
Step-by-step explanation:
Bc I said
What's the variable of x?
Answers
Step-by-step explanation:
in right angled triangle ;
hypotenuse² =( side 1)² +(side 2)²
(65)²=(25)² +(x)²
4225 = 625 + (x)²
4225 - 625 = x²
3580 = x²
59.83 = x
Help me please I really need help whoever answers this question first gets a thanks and that’s worth five points
Answers
Answer:
5 in.
Step-by-step explanation:
What is the area of the rectangle above?
A.
72 square units
B.
66 square units
C.
17 square units
D.
34 square units
Answers
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
solve using elimination x-2y=12 and 5x+3y=-44 *
(4,8)
(-4,8)
(4,-8)
(-4,-8)
Answers
Step-by-step explanation:
( x-2y=12)5
5x-10y=60
- 5x+3y=-44
____________
13y=-104
y=-104/13
Work out the difference between 77.5 and 2.27.
Answers
Answer:
75.23 is the answer for 77.5-2.27
Can someone give me the answer and explain it to me? Pls, I’ll mark brainiest.
Answers
you need to find the percentage of the store's profit. So the store has 10 jeans = $ 180. That means each jeans cost 18, but it sells for 24.30. So you find the profit percentage
Solve the equation.
n+75=105
Answers
Answer:
n = 30....................
Answer:
30
Step-by-step explanation:
n+75=105
We move all terms to the left:
n+75-(105)=0
We add all the numbers together, and all the variables
n-30=0
We move all terms containing n to the left, all other terms to the right
n=30
What is the image of the point (-2,7) after a rotation of 180° counterclockwise
about the origin?
Answers
180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.
Given a point let's say A(-2,7)
If we rotate any point on coordinate geometry by 180 degrees about the origin then the horizontal and vertical distinctions will remain the same but the sign will change as shown below.
A(-2,7) ← Second quadrent
A'(2,-7) → Fourth quadrant
Hence "180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7)".
For more about coordinates,
brainly.com/question/7869125
#SPJ5
Can y’all help me on question 19?!
Answers
Answer:
Its D
Step-by-step explanation:
Just my multiplying the 2 five times and since it asks you in exponential form you do 2^5 so D will be you’re answer
Please help I urgently need it, I’ll give brainliest to whoever answers and 20 points!
Answers
Answer:
92.3
Step-by-step explanation:
Home to gas station: (0,0) to (6,2) = 6.3
Gas station to friends house: (6,2) to (4,-7) = 9.2
Freinds house to movie theatre: (4,-7) to (-7,-3) = 11.7
Movie theatre to ice cream: (-7,-3) to (-8,2) = 5.1
Ice cream to park: (-8,2) to (7,7) = 15.8
Park to friends house: (7,7) to (4,-7) = 14.3
Friends house to grocery store: (4,-7) to (-4,8) = 17
Grocery store to home: (-4,8) to (0,0) = 8.9
Add them together =
helpppppppppppppppppp
Answers
Answer:
19 units, left
Step-by-step explanation:
You can use a graphing tool or create a graph to show how these lines relate to one another. Then, count the units that have been translated and where the translation occurred.
An agricultural company is trying to decide which type of fertilizer to use on its crops. The company concerned with the average yield on its crops as well as the variance of their yields. In a sample of 41 different fields with using fertilizer A, the average crop yield per acre is 185 tons with a standard deviation of 35 tons. In a separate sample of 61 different fields using fertilizer B, the average crop yield is 175 tons with a standard deviation of 28 tons. When testing the hypothesis that there is no difference between the average yields using the different fertilizers, if the test statistic is 1.53 and the critical value is 2.57 then what is your conclusion concerning the null hypothesis?
Answers
Answer:
We do not reject the null
Step-by-step explanation:
Given that :
Sample size, n = 41
Test statistic ; Zstatistic ;= 1.53
Critical value ; Zcritical ; = 2.57
The null hypothesis H0 ;
H0: μ1 - μ2 = 0
Alternative hypothesis, H1 ;
H1: μ1 ≠ μ2
Decision region :
Reject Null ; if |Zstatistic ≥ Zcritical|
Zstatistic > Zcritical
Result :
1.53 < 2.57
Zstatistic < Zcritical
Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.
Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administration believes that the new class of freshmen have a different mean exam score. A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.
Calculate a 99% confidence interval. List the lower bound (rounded to 2 decimal places) and the upper bound (rounded to 2 decimal places).
Answers
Answer:
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.
This means that [tex]n = 65, \pi = 0.76[/tex]
99% confidence level
So [tex]\alpha = 0.005[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.005}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964[/tex]
0.6236*100 = 62.36%
0.8964*100 = 89.64%
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
Two angles are supplementary. One angle measures (3x+8) and the other measures (6x+64) what is the value of X?
Answers
9x+72=180 (Simplify)
9x=108 (Subtraction property of equality)
x=12
A random sample of students were surveyed as to how much non-school screen time
they had each week (for purposes of the survey, screen time was defined as: time
spent online, on social media, watching TV, or playing video games) and if their grade
average was above or below 80.
Screen Time
above below
8
8
less than 4 hours
18
16
4-8 hours
20
16
8-12 hours
11
17
more than 12 hours
What percent of the students who spend 4-8 hours a week on screens reported a
grade average above 802 Round your answer to the nearest tenth of a percent.
Answers
Answer:
the answer is 25 .
Step-by-step explanation:
4x + 8y= -8
X= -2y + 1
Answers
Answer:
Step-by-step explanation:
Which graph shows the line y = 4x - 2?
Answers
Answer:
Line A
Step-by-step explanation:
Line A is the blue line with the y-intercept of (0,-2) and positive slope of 4.
$17.99
with an
11.25% tax
Answers
Answer:
your final price is 19.02
your ta rate is 5.75
Step-by-step explanation:
your
In ASTU, S = 360 cm, t = 110 cm and u=450 cm. Find the measure of ZU to the
nearest 10th of a degree.
Answers
Answer:140.1
Step-by-step explanation:
Answer:
140.1
Step-by-step explanation:
FOR THE SMART MATH PEOPLE
WILL GIVE BRAINLIEST
Answers
This figure shown is NOT a square because a square has all angles are 90º.
It is a rhombus and a parallelogram because they both have a parallel sides(At least 2). NOW GIVE ME BRAINLIEST!!!!
Harley invested $6,300 into an account that earns 3.5% simple interest. What is the total balance of the account after 5 years
Answers
Answer:
$7402.50 I think
Step-by-step explanation:
3.5(5)= 17.5 percent
175/1000* 6300= 17.5*63= 1102.5
6300+ 1102.5= 7402.5
if my answer helps please mark as brainliest.
Write the log equation as an exponential equation. You do not need to solve for x.
In (4x + 8) = 2 + 5
HELP
Answers
Compare the original trapezoid and the enlarged trapezoid.
Trapezoid A B C D has side lengths 4 centimeters, 2 centimeters, 5 centimeters, 2 centimeters. Trapezoid W X Y Z has side lengths 10 centimeters, 5 centimeters, 12.5 centimeters, 5 centimeters.
What is the perimeter of trapezoid ABCD?
What is the perimeter of trapezoid WXYZ?
What is the scale factor for this enlargement?
Answers
Answer:
13, 32.5, 2.5
Step-by-step explanation:
Answer:
The answer is in the photo
Step-by-step explanation: