Given:
The quadratic equation is:
[tex]x^2-32x+54=0[/tex]
It can be written as [tex]-p=202[/tex].
To find:
The value of p in the rewritten equation.
Solution:
We have,
[tex]x^2-32x+54=0[/tex]
Isolate the constant term.
We need to make 202 on the right side. So, add 256 on both sides.
[tex]x^2-32x+256=-54+256[/tex]
[tex]x^2-32x+256=202[/tex]
[tex]-(-x^2+32x-256)=202[/tex]
Let [tex]-x^2+32x-256=p[/tex], then
[tex]-p=202[/tex]
Therefore, the value of p is [tex]-x^2+32x-256[/tex].
The given equation can be written as:
[tex]54=-x^2+32x[/tex]
Adding 148 on both sides, we get
[tex]54+148=-x^2+32x+148[/tex]
[tex]202=-(x^2-32x-148)[/tex]
Let [tex]x^2-32x-148=p[/tex], then
[tex]202=-p[/tex]
Therefore, the another possible value of p is [tex]x^2-32x-148[/tex].
4.Complete each of the following BRAINIEST and 50 points its just Trigeometry
Answer:
#1:
cos a = opp/hyp = cb/ca
tan a = opp/ajd = cb/ab
sin c = adj/hyp = ab/ca
cos c = opp/hyp = ab/ca
tan c = opp/adj = ab/cb
2: *i dont have the square root symbol*
sin 60 = 3/2
cos 60 = x/2
tan 60 = 3/x
sin 30 = x/2
cos 30 = 3/2
tan 30 = x/3
3: *i dont have the square root symbol*
sin 45 = 2/x
cos 45 = x/2
tan 45 or 48 = x/y
Michael is writing an article for the school newspaper. He wants to know which subject (math, reading, science, history, or physical education)
is most liked. He is trying to decide who to survey.
Which population sample does NOT produce a biased result?
A. He asks the school’s teachers
B. He asks his friends after school
C. He asks the students in his math class
D. He asks students he meets in the hallways
E. He asks every fifth student arriving at school
Answer: E is the answer
Step-by-step explanation:
The population sample that does not produce a biased result is when he asks every fifth student arriving at school. The correct option is E.
What is a survey?Surveys can be used to determine how representative each person's opinions and experiences are.
When conducted properly, surveys offer precise data about people's beliefs and actions that can be utilized to inform significant decisions.
A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities.
This guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.
Survey bias is when a question is worded or presented in a way that encourages individuals to select one response over another.
The same holds true if your queries are challenging for customers to comprehend and honestly answer.
As, when he asks every fifth student arriving at school, it can lead to an unbiased result.
Thus, the correct option is E.
For more details regarding survey, visit:
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A trapezoid has a height of 12 feet,
and base measurements of 15 feet and
10 feet. What is the area?
[?] square feet
Hint: The formula for the area of a traxzod is to
▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Given :→ Base = 15 and 10
→ Height = 12
To Find :→ Area of trapezoid
Solution :→ Area of Trapezoid = (a + b)/2 × h
= (15 + 10)/2 × 12
= 150 ft²
∴ The area of Trapezoid is 150 ft²
▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Help please I might fail…
Answer:
9 /4 which equals 2 and 1/4
Step-by-step explanation:
plugged into the calculator!
Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.
Answer:
coupon A
Step-by-step explanation:
coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer: the answer is d
Step-by-step explanation:
solve for x. Leave your answer in the simplest radical form.
Answer:
x = 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2
use Pythagorean Theorem to find 'x':
2² + 4² = x²
4 + 16 = x²
x² = 20
x = [tex]\sqrt{20}[/tex]
x = [tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex]
x = 2[tex]\sqrt{5}[/tex]
please find the missing side of this triangle
3
What is the difference of
21
?
4
Answer:
The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.
Step-by-step explanation:
If the purchase price for a house is $309,900, what is the monthly payment if you put 20% down for a 30 year loan with a fixed rate of 6%? A. $729.98 b. $912.48 c. $1,486.41 d. $1,858.01 Please select the best answer from the choices provided A B C D
Answer:
The correct answer is A. $729.98.
Step-by-step explanation:
Given that the purchase price for a house is $ 309,900, to determine what is the monthly payment if you put 20% down for a 30 year loan with a fixed rate of 6%, the following calculation must be performed:
100 - 20 = 80
(309,900 x 0.80) x 1.06 / (30x12) = X
247,920 x 1.06 / 360 = X
262,795.2 / 360 = X
729.98 = X
Therefore, the monthly payments will be $ 729.98.
Answer:
Monthly Payment = 1,486.41
Step-by-step explanation:
e d g e
A doctor compiles a numbered list of all his 350 patients. He selects every 25th patient to receive a survey after
choosing to randomly start with the seventh name on the list. Which statement correctly identifies and justifies
whether the scenario represents an SRS?
O This represents an SRS because the sample was selected with a chance process.
O This represents an SRS because there were no restrictions placed on the sample group.
This does not represent an SRS because each individual chosen does not have an equally likely chance of being
chosen.
O This does not represent an SRS because each group of patients chosen does not have an equally likely chance
of being chosen.
Answer: This does not represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen.
Answer:
the answer is D. This does no represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen
Step-by-step explanation:
10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x - 3)2 C. Difference of squares: (x + 5)(x - 5)
Answer:
A
Step-by-step explanation:
A because when you find the product you need to add
please please please help!
AD = ___ units
Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108.
The question is incomplete. Kindly see the correct question below
Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108 Write an inequality that represents this
Answer:
9D +6C < 108
Step-by-step explanation:
Let the price of Dvd be D
Let the price of CDs be C
Hence the inequality can be represented as follows
9D + 6C < 108
1. last question. please help me out thank you. ill mark you brainlist
Answer:
-7
Step-by-step explanation:
Answer:
x = -7
Step-by-step explanation:
3x + 6 = x - 8
-x -x
(subtract x from both sides)
2x + 6= −8
-6 -6
(subtract 6 from both sides)
2x = -14
/2 /2
(divide 2 by both sides)
x = -7
hope this helped!
Solve for b.
- 28 – 6b= 8
Answer:
-6
Step-by-step explanation:
- 28 – 6b= 8
step 1 add 28 to each side
-28 + 28 cancels out
28 + 8 = 36
we now have -6b = 36
step 2 divide each side by -6
-6b / -6 = b
36 / -6 = -6
we're left with b = -6
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]b=-6[/tex]
»»————- ★ ————-««
Here’s why:
We will have to preform inverse operations to solve for 'b'.
[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
quadratic equation: I NEED HELP- ignore the answer I pressed it's wrong
Use the relationships between the angles to find the value of . 75° 40 X 15 degrees
Answer:
x = 65
Step-by-step explanation:
All angles in the triangle equal 180
Set up your formula as
180 = x+75+40
180-75-40=x
65=x
Someone help me with this pls
Answer:
y^6 or y^13/y^7
Step-by-step explanation:
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
B
Step-by-step explanation:
Amanda does start with 30 homework questions
She does complete 3 questions every 2 minutes
After 10 minutes she has completed half of her questions
But she does not finish 2 questions every 3 minutes
hope this helps <3
a, b, and c are all vectors that have the same direction.
a + b = c
The magnitude of a = 6 and the magnitude of b = 8.
Find the magnitude of c.
Answer:
14 = c
Step-by-step explanation:
it is just like u said;
a + b = c
6 + 8 = c = 14
(it could also be 8-6 = c = 2)
In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.46. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.
Answer:
The original price was $7.21
Step-by-step explanation:
8.46-1.25= 7.21
What is the probability of rolling a 6 and then a 7 on a number cube?
NO LINKS PLEASE!
Answer:
the probability of rolling 6 is 16 or 16.7%.
the probability of rolling 7 is 0.
Step-by-step explanation:
7 is 0 because its impossible to roll a 7 on one number cube.
Find the slope of the line below:
Answer:
Step-by-step explanation:
3
21 3/5 is what percent of 40?
Answer:
21.6 is 54% of 40.
Step-by-step explanation:
HOPE THIS HELPS!!!
Have a great day!
- Hailey: )
I need this please help mee
Answer:
A, 120.
Step-by-step explanation:
x-15+75=180
x+60=180
x=120.
what is the mean of 3 6 11 7 4
Here is a rectangular prism. 2.4 in 1.5 in 8 in
1. What is the volume of the prism?
Hello!
The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.
Can someone help me out my grads are bad
Answer:
50 m^2
Step-by-step explanation:
3cm = 5 m
6 cm = 10 m
5 x 10 = 50 m^2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
50 [tex]m^{2}[/tex]
Step-by-step explanation:
3cm = 5m
6cm = 10m
5x10 = 50
Question 8 of 25
If a sample mean is 96, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (76, 108)
O B. (82, 114)
O C. (78, 110)
O D. (80, 112)
The correct range is (80, 112).
The correct option is (D).
What is mean?Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.
As per the given data:
We are given the mean of the sample.
The mean of the sample = 96
In each option, a range is given.
We have to find out which is the correct range for the given mean.
For a range (a, b) the mean is given by:
mean = (a + b)/2
By using the above definition and checking all the options:
For (76, 108)
mean = (76 + 108)/2 = 92, Not the correct range
For (82, 114)
mean = (82 + 114)/2 = 98, Not the correct range
For (78, 110)
mean = (78 + 110)/2 = 94, Not the correct range
For (80, 112)
mean = (80 + 112)/2 = 96, The correct range
The correct range is (80, 112).
Hence, the correct range is (80, 112).
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