Answers
Answer:
[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]
Related Questions
Is this relationship proportional or non proportional
Answers
what is the equation of the following graph in vertex form
Answers
Answer:
y=(x-4)²-4
Step-by-step explanation:
Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:
(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]
x²-8x+12=0 (Standard Form)
x²-8x+12+4=0+4 (Completing the square)
x²-8x+16=4
(x-4)²=4
(x-4)²-4=0
Therefore, our equation for the graph in vertex form is y=(x-4)²-4
Problem 3.1
Jaleel wrote a book. He wants to print some copies for his
friends and family. The printing company charges a one-
time fee of $200, plus $2 for each printed book.
Is Jaleel's total cost a function of the number of books he
prints?
Answers
Answer:
C(n) = 200 + 2n
Step-by-step explanation:
Given:
Fixed cost state by printing company = $200
Variable charges per book print = $2
Find:
Cost function of number of books print
Computation:
Assume:
Number of books printed = n
Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]
C(n) = 200 + 2n
Where n = number of book
C = Total cost
Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex] (in dollars)
How to form mathematical equations from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.
For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.
Let we have:
n = number of books Jaleel gets printed.c = total cost Jaleel has to pay for printing those booksThen, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200
Thus, we get total cost as:
c = Cost for n books + Fixed one-time cost.
Cost for n books = 2 + 2 + ... + 2 (n times ) (in dollars) = [tex]2n[/tex](we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Fixed one-time cost = $200Thus, total cost is written as:
c = Cost for n books + Fixed one-time cost.
c = 2n + 200 (in dollars)
Learn more about forming equations here:
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A rectangle garden is 30 feet wide if its area is 2700 ft.² what is the length of the garden?
Answers
Answer:
The answer is 90
Step-by-step explanation:
A= L*W
so when you are given the are and the width you need to divide the area by the width to find the length
56,316 divided by 6 need step by step instructions
Answers
Answer:
9,386
Step-by-step explanation:
56,316 ÷ 6 = 9,386
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
ZABD and ZDBC are supplementary angles,
What is the measure of x?
X = [?]°
7D
110%
AK
B
>C
Angles are not drawn to scale.
Finter
Answers
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
Simplify 1/4^-2 x 1/4^-7
Answers
Solve each of these equations. Explain or show your reasoning.
2(x+5)=3x+1
3y−4=6−2y
3(n+2)=9(6−n)
Answers
2(x+5)=3x+1 = 9
Subtract
2
x
2x from both sides then Subtract
1
1 from both sides.
50 POIINTS!!!
A coin is flipped 20 times. The results are 12 heads and 8 tails. Determine the theoretical probability of getting heads.
60%
40%
20%
50%
SOMEONE PLEASE PUT STEPS TO SOLUTION.
Answers
Answer:
What we have here is experimental probability: 12 heads out of 20 tosses. The fraction 12/20 reduces to 6/10, or 0.60, which corresponds to 60%.
Complete the sentences to compare the functions.
The range of f1(00) is
The domain of f(x) is
The minimum of f(x) is equal to the
Answers
3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3
Answers
Answer:
D. -3
Step-by-step explanation:
Sana nakatulong
A culture of bacteria has an initial population of 470 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Answers
Answer:
Step-by-step explanation:
The population of bacteria in the culture after 7 hours is approximately 883.
What is an exponential function?Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.
Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:
Since the initial population is 470, we have P₀ = 470.
The doubling time is 8 hours, so we have d = 8.
Substituting these values into the formula, we get:
[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]
P₇≈ 882.77
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HELPPP!!!! Due today
The volume of a prism is 18 cubic inches. What is the
volume of a pyramid with the same base and height?
Answers
Answer:
1944
Step-by-step explanation:
I used the pyramid formula and used 18 as the bases and heights since it’s a perfect triangular pyramid.
Aria recorded her daily lemonade stand profit during one week. Which data representation would you use to show her profit over the week? Explain how you would draw it and what you would expect to see
Answers
Answer:
Step-by-step explanation:
a line graph would show the data over time.I would plot the days along the horizontal axis and each daily profit at points on the vertical axis.I would connect the points with lines.If her profit increasing each day, I would expect the line height to increase over time.
Answer:
There is already another answer:
line graph or bar graph because it shows you what day of the week you sell more lemonade.
Step-by-step explanation:
Which statements are true about trapezoid ABCD and
its translated image, ABCD? Select two options
3
2
The role for the translation can be written as I
1
3
The rule for the translation can be written as
The rule for the translation can be written as
The rule for the translation can be written as
Trapezoid ABC has been translated 3 units to the
night and 1 on Up
farandi
Answers
Answer:
The rule for the translations can be written as T -3,1(x,y).
The rule for translations can be written as (x,y)➡️(x-3,y+1).
Step-by-step explanation:
Answer:
A, and D
Step-by-step explanation:
Took Unit test edge 2022
Find the surface area of the prism.
15mm 10mm 8mm
A. 320 mm2
B. 400 mm2
C. 494.2 mm2
D. 502 mm2
Answers
Carmen surveys a random sample of 35 students from her school. Of these students, 2 are chess club members. If there are 550 students at her school, how many of them are likely to be chess club members?
Answers
Answer:
31
Step-by-step explanation:
2 out of 35 are chess club members.
The fraction of chess club members in the survey is 2/35.
Now we find 2/35 of 550.
2/35 * 550 = 1100/35 = 31.43
Answer: 31
If there are 550 students at her school, then there are 31 chess club members in the entire school.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
If Carmen surveyed a random sample of 35 students and found that 2 are chess club members.
We can set up a proportion to solve for this:
2/35 = x/550
where x is the number of chess club members in the entire school.
To solve for x, we can cross-multiply and simplify:
2 × 550 = 35 × x
1100 = 35x
Divide both sides by 35.
x = 1100/35
x ≈ 31.43
Therefore, we can estimate that there are approximately 31 chess club members in the entire school.
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7a +5+2b
Select all of the true statements below.
- 2b and 5 are like terms.
- 5 is a constant.
- 2 is a coefficient.
- 7a+5+2b is written as a product of three factors.
- 7a +5+2b is written as a sum of three terms.
- None of these are true.
Answers
Answer:
5 is a constant
2 is a coefficient
7a + 5 + 2b is written as a sum of three terms
How do I Solve 6=18x
Answers
Answer:
1/3
Step-by-step explanation:
6=18x
for x
x=6/18
x=1/3
A coffee shop sells their coffee beans by the pound. The table below shows the cost, in dollars, for a pound of two different types of coffee. How much more is the cost for 1 1/3 pounds of Jimmy jitters beans than the cost for 1 1/3 pounds of Harry's Himalayan Beans?
Answers
Answer:
1 1/3 x 1/3 =234/6
Step-by-step explanation:
your mama
Mark and Doug work at the mall. Last week,
Mark worked five less than three times the
number of hours that Doug worked. If their total
number of combined hours was 13 more hours
than Mark worked, how many hours did they
work in total?
Answers
If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.
How to find the hours worked?Let x represent the time Doug worked
let 3x - 5 represent the number of hours Mark worked
Hence,
x + 3x - 5 = 3x -5 +13
4x-5=3x-5+13
4x-5=3x+8
Add 5 to both side
4x-5+5 =3x+8+5
simplify
4x =3x +13
subtract 3x from both side
4x -3x = 3x + 13 =3x
1x = 13
x =13/1
x =13 (Doug)
Hence,
3x -5 where x = 13
3 (13) -5
= 39 -5
= 34 hours (Mark)
Total hours
(Doug + Mark)
= 13 hours + 34 hours
= 47 hours
Therefore the total hours is 47 hours.
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If each small cube has a volume of 1 cm,
what is the volume of this rectangular prism? HELP A.S.A.P. ILL GIVE BRAINLIST
Answers
Answer:
The answer is 40 Centimeters.
Step-by-step explanation:
This answer is correct since there are 4 rows of 10, creating the Rectangular prism. i hope this helped!
How many solutions exist for the system of equations below?
Answer Choices:
none
one
two
infinitely many
Answers
Answer:
None
Step-by-step explanation:
No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.
State whether each situation has independent or paired (dependent) samples. a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 women, and measures their hand–eye coordination. b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without
Answers
Answer:
a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 women, and measures their hand–eye coordination = paired samples
b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without tenure. = independent samples
Explanation:
Paired-samples t tests compare scores on two different variables but for the same group of cases; independent-samples t tests compare scores on the same variable but for two different groups of cases.
Find the surface area of the cylinder and round to the nearest tenth.
Answers
http.///bitily8288292
Order the following numbers from least to greatest: 2.74, 1/9, 4^2, -2^3, 32.5%,-6
Answers
Answer:
−
2
3
,
−
6
,
1
9
,
32.5
%
,
2.74
,
4
2
Step-by-step explanation:
-9,7 with a rotation of 180°
Answers
Answer:
(9,-7)
Step-by-step explanation:
Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.
I just need the q1 med and q3
Answers
Answer:
Q1 = 6
Med = 12
Q2 = 15
Step-by-step explanation:
I WILL MARK BRAINLIEST IF CORRECT! Look at the image below.
Answers
Answer:
C 1/10 × 33
D 0.1 × 33
Hope that helps
find the value of x.
Answers
Answer:
5
Step-by-step explanation:
5y+155=180
5y=180-155=25
y=5
5y+13x=90
13x=90-25=65
x=5°