Answer:
The values of p and q such that 2·x² - 4·x + 3 = 2·(x - p)² + q, are;
p = 1, q = 1
Step-by-step explanation:
The given equation are;
2·x² - 4·x + 3 = 2·(x - p)² + q
By expanding the right hand side of the equation, we have;
2·x² - 4·x + 3 = 2·(x - p)² + q = 2·x² - 4·p·x + 2·p² + q
2·x² - 4·x + 3 = 2·x² - 4·p·x + 2·p² + q
Comparing the coefficient of x in both equations, gives;
2·x² + (- 4)·x + 3 = 2·x² + (- 4·p)·x + 2·p² + q
-4 = -4·p
∴ p = -4/(-4) = 1
p = 1
Comparing only the constant terms (terms not multiplied by "x" or "x²"), we get;
3 = 2·p² + q
Substituting the value for "p" obtained above (p = 1 ) in the previous equation, we get;
3 = 2 × 1² + q = 2 + q
∴ q = 3 - 2 = 1
q = 1.
(Dont answer if you dont want alot of notifs)
If Logx (1 / 8) = - 3 / 2, then x is equal to
A. - 4
B. 4
C. 1 / 4
D. 10
Answer:
According to my problem solving, the answer should be B. 4
Step-by-step explanation: it might be wrong but worth a shot
Which expression is equivalent to 5/6c + 76c, if c+ 0?
Answer:
0
Step-by-step explanation:
If c=0
that expression also equals 0
What is the equation of a line that passes through the points (–3, 4) and (2, 8)?
Answer:
[tex] \frac{y - 4}{x - ( - 3)} = \frac{8 - 4}{2 - (- 3)} \\ \frac{y - 4}{x + 3} = \frac{4}{5} \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\ \boxed{4x - 5y + 32 = 0}[/tex]
4x-5y+32=0 is the right answer.covert 12/5 into a mixed number in simplest form
Answer:
2 2/5
Step-by-step explanation:
3/5 pint of juice is poured equally into 6 glasses. How much juice is in each glass? Answer in a complete sentence.
Answer:
3/30
Step-by-step explanation:
Answer:
1/10
Step-by-step explanation:
you divide by 3/5 by 6
2. Lorena is trying to choose between two different savings accounts at H-Town Bank. She will deposit $3,500 dollars and will leave the money in the account for 12 years. There will be no additional money deposited or withdrawn from the account.
Answer:
First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.
Choice 1 = X = Final Amount after 12 years = $5600
Choice 2 = Y = Final Amount after 12 years = $6285.50
Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.
Step-by-step explanation:
First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.
Initial Deposit Amount = $3500
Time period = 12 years
Let's Suppose Lorena has two X and Y choices of accounts at H-town Bank.
X = simple interest of 5% over the initial amount for 12 years.
Y = Compound interest 5% over the initial amount for 12 years.
Solution:
Let's calculate the profit for choice 1 = X
Simple interest = 5%
Initial amount = $3500
Time period = 12 years
Formula = A = P (1 + rt)
where, A = Final amount after 12 years
t = time period in years = 12
P = initial amount to be deposited = $3500
r = annual interest rate = 5%
Plug in the values to get the total amount.
A = 3500(1+0.05x12)
A = $5600 = final amount Lorena will get after 12 years.
Let's calculate the profit for choice 2 = Y
Compound interest = 5%
Initial amount = $3500
Time period = 12 years
Formula = A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]
where,
A = Final amount after 12 years
t = time period in years = 12
P = initial amount to be deposited = $3500
r = annual interest rate = 5%
n = number of times interest rate is applied or compounded. = 12
Plug in the values to get the total amount.
A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]
A = $6285.50
Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.
Draw an ordered stem and leaf diagram to show this information.
245, 250, 251, 253, 258, 264, 267, 269, 273, 276
Key:
2415 means
Answer:
24|5
25|0;1;3;8
26|4;7;9
27|3;6
Step-by-step explanation:
key in the bottom right:
24|5means 245
Хеллльпппппп please ......
Answer:
B
Step-by-step explanation:
Identify the constant of proportionality
What is the value of X?
The answer is x = 11/36
lt is 100% right
Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.
Answer:
8 hours
Step-by-step explanation:
We are given that
Casi traveled distance in 3 hours=135 miles
We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .
Let time taken by Casi to drive 360 miles=x
We know that
Speed=[tex]\frac{Distance}{time}[/tex]
Using proportion
[tex]\frac{a}{b}=\frac{c}{d}[/tex]
[tex]\frac{135}{3}=\frac{36}{x}[/tex]
[tex]x=\frac{360\times 3}{135}[/tex]
[tex]x=8[/tex]
Hence, the time taken by Casi to drive 360 miles=8 hours
The area of Tyrone's square bedroom is 144 square feet. He wants to paint the walls of his room. How much paint would he need to paint all four sides?
I'll give brainliest
Answer:
Each side is 12 feet.
A stack of books is 5 feet 5 inches high. How high is it in inches?
Well first, you have to know that there are 12 inches in a foot so, that's 12 / 3 = 4, so that means that for every foot, there are 4 books. The books are 5 feet tall so 4 x 5 = 20. Your answer is: 20 books are in a stack.
Answer:
Step-by-step explanation: I would do 5x12 because there are 12 inches in one foot so 5x12 is 60 so there is 60 inches
Please PLEASE HELPPP!!!!!!
Answer:
5/2
Step-by-step explanation:
10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.
Make
x
the subject of the formula
x
−
p
=
t
Answer:
x = t + p
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
x - p = t
Step 2: Solve for x
Add p to both sides: x = t + pAnyone know the answer ?
Answer:
74 is the answer
Step-by-step explanation:
64+42=106
180-106=74
hope this helped!
Answer: 74°
42+64=106
180-106=74
I hope this helps :
The function can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after
Answer: 0.09 mg
Step-by-step explanation:
To find out the milligrams in the blood after 10 hours you just need to replace the 'h' in the equation to 10.
= 5e⁻⁰°⁴ˣ¹⁰
= 5e⁻⁴
= 0.09157819444
= 0.09 mg
Plz help me I need tu turn this is by midnight!!
Answer:
The last answer.
Step-by-step explanation:
It looks to be the correct answer because for the one above you can't simplify 27 by 5.
Write an explicit formula of an , the nth term of the sequence 22,20,18
Answer:
an =24−2n
Step-by-step explanation:
can someone help simplify the following expression. 7t -3t + 4
A 4t + 4
B 7t - 1
D 10t + 4
C10 + 4
Teresa is going with her family to watch
professional barrel racers. Her family
buys 6 tickets. They have a coupon for
$1.50 off each ticket. They pay $52.50
altogether for their tickets. Write an
equation that you could use to represent
the situation. What is the price of a ticket
before using the coupon?
Answer:
6 * (x - 1.50) = 52.50 ; 10.25
Step-by-step explanation:
Given that :
Number of tickets purchased = 6
Coupon off per ticket = 1.50
Total Amount paid for tickets = $52.50
Let x = initial price of ticket :
Number of tickets purchased * (Initial ticket price - coupon) = total amount paid
6 * (x - 1.50) = 52.50
6x - 9 = 52.50
6x = 52.50 + 9
6x = 61.50
x = 61.50 / 6
x = 10.25
Hence, initial price of ticket = $10.25
please help super confused
Answer:
∠ EHK
Step-by-step explanation:
Adjacent angles are positioned next to each other on a straight line and are supplementary.
∠ IHK is next to ∠ EHK on the line DI and are adjacent
CAN SOMEONE HELP ME ??? This is areas and volumes of similar solids!!!!!! It’s urgent!!
Answer:
Step-by-step explanation:
let x be the unknown volume
5/7=50/x
x=70
Answer:
137.2 m³
Step-by-step explanation:
Given the ratio of sides a : b , then
ratio of volumes = a³ : b³
Here ratio of sides = 5 : 7 , then
ratio of volumes = 5³ : 7³ = 125 : 343
let x be the volume of the larger prism then by proportion
[tex]\frac{50}{125}[/tex] = [tex]\frac{x}{343}[/tex] ( cross- multiply )
125x = 17150 ( divide both sides by 125 )
x = 137.2
That is volume of larger prism is 137.2 m³
please help!
what is 2/7 x 1/3
Answer:2/21
Step-by-step explanation:
2 x 1 2
——- =. -
7 x 3. 21
The difference of two numbers is 18. Their sum is 66. What are the numbers? List the numbers from least to greatest.
The trainers at Atlantis Aquarium perform shows about sea life. Yesterday, they performed 4 shows in 2 hours. Today, they will perform 6 shows. If they perform shows at the same rate, how many hours will the trainers spend performing shows today?
Answer:
3 hours
Step-by-step explanation:
Number of shows : Time taken
= 4 : 2
Today, they will perform 6 shows.
Number of shows : Time taken
= 6 : x
Equate both ratios to find x
4 : 2 = 6 : x
4/2 = 6/x
Cross product
4 * x = 2 * 6
4x = 12
x = 12/4
x = 3 hours
The trainers will spend 3 hours performing shows today
Answer:
3 hours
Step-by-step explanation:
A restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. How many eggs does each 5-layer rack hold?
Answer:
The answer is 125 eggs.
The total number of eggs required will be 125.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that a restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. The number of eggs will be calculated as:-
Number of eggs = 5 x 5 x 5
Number of eggs = 125
Therefore, the total number of eggs required will be 125.
To know more about an expression follow
https://brainly.com/question/3188652
#SPJ2
4 thousandths times 3 (like this plz 0.004x3)
Answer:
0.012
Step-by-step explanation:
0.004 * 3 = 0.012
i need help on this question
Answer:
5
Step-by-step explanation:
9+6=15
15/3=5
Step-by-step explanation:
[tex] \frac{a + b}{c} = \frac{9 + 6}{3} = \frac{15}{3} = 5 \: ans[/tex]
A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?
Answer:
31.25 kg of flour is needed to make 50 cakes
Step-by-step explanation:
A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?
We can find it by using unitary method i.e first find quantity of flour needed for 1 cake and then we can find quantity of flour needed for 50 cakes.
Flour needed to make 4 cakes = 2.5 kg
Flour needed to make 1 cake = [tex]\frac{2.5}{4}[/tex] kg
Flour needed to make 50 cakes = [tex]\frac{2.5}{4}\times 50[/tex]
= 31.25 kg
So, 31.25 kg of flour is needed to make 50 cakes