Answers
Answer:
y² - 2y - 4x + 9 = 0 (*)
a = 1 b = -2 c = -4x + 9
Δ = b² - 4ac = 4 - 4(9 - 4x) = 4 - 36 + 16x = 16x - 32
if (*) have the solutions => Δ ≥ 0
⇔ 16x - 32 ≥ 0 ⇔ x ≥ 2
with x ≥ 2 => y = [tex]\frac{2+\sqrt{16x-32} }{2}=\frac{2+4\sqrt{x-2} }{2}=1+2\sqrt{x-2}[/tex]
or y = [tex]1-2\sqrt{x-2}[/tex]
Step-by-step explanation:
Related Questions
All 40 turkeys are in a pen. 1/4 are sleeping. 1/8 are eating, and 5/8 of them are hiding from the butcher. How many are sleeping How many are eating How many are hiding
Answers
Answer:
[tex]Sleeping = 10[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding =25[/tex]
Step-by-step explanation:
Given
[tex]Turkey = 40[/tex]
[tex]Sleeping = \frac{1}{4}[/tex]
[tex]Eating = \frac{1}{8}[/tex]
[tex]Hiding = \frac{5}{8}[/tex]
Required
Determine the number in each category
To solve this, we simply multiply each fraction by the total number of turkey:
[tex]Sleeping = \frac{1}{4} * 40[/tex]
[tex]Sleeping = \frac{40}{4}[/tex]
[tex]Sleeping = 10[/tex]
[tex]Eating = \frac{1}{8} * 40[/tex]
[tex]Eating = \frac{40}{8}[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding = \frac{5}{8} * 40[/tex]
[tex]Hiding = \frac{200}{8}[/tex]
[tex]Hiding =25[/tex]
When Jack started his job working for an industrial manufacturing company, he contributed $100
at the end of each month into a savings account that earned 1.2 % interest compounded monthly
for 8 years. At the end of the 8
th year, Jack was laid off. To help meet family expenses, Jack
withdrew $285 from the savings account at the end of each month for 2 years. At the end of the
second year of being unemployed, Jack found another job and started contributing $138 back into
the savings account at the end of each month for the next six years. How much money would he
have in the account at the end of the six years (after returning to work)?
Answers
Answer:
Problem 4 If the point (2, 2) is in the feasible set and the vertices of the feasible sct are (0,0), (0, 12). (6,18). (14, 16), and (18, 0), then determine the system of linear inequalities that created the feasible set. Show all the work that led you to you answer. (10 points) Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the year, Jack was laid off. To help mect family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years (after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)
Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the 8th year, Jack was laid off. To help meet family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)
4+ -1 2/3 please help
Answers
The sum would end us as: 2.33333333
Answer:
Step-by-step explanation:
step 1: 4+ -1 2/3
Step 2: 4-1 2/3
Step 3 12/3- 5/3 common denominator required during addition or subtraction
Step 4: 7/3 or 2 1/3 simplify
Please help!!
Write the equation of the line passing through (2,3) and perpendicular to y = 2/3 x + 7.
Answers
Answer:
y = 2/3x
Step-by-step explanation:
So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.
3 = 2/3(2) + b
we multiply the denominator 3 by 2, then divide that by the numerator 2.
3 = 3 + b
subtract 3 from itself and from the opposite side of the equal side 3.
0 = b
in the end, there is no b for this equation. Our answer is
y = 2/3x
The regular price of a baseball hat is $14.45. If Carlos buys the baseball hat on sale for 20% off the regular price, how much change will he receive after paying with $20?
$_____
PLEASE HELP
Answers
14.45 - 2.89 = $11.56 after sale
$20 - $11.56 = $8.44 in change
How many isosceles triangles are in a rectangle
Answers
Answer
i'm not sure 2?'??????????
josh earned $30,000 last year if the tax rate was 15%,how much money can he keep after taxes
Answers
Answer:
25500
Step-by-step explanation:
15% of 30000 is (multiply 30000 by .15 to get this) 4500
Subtract 4500 from 30000 and you got the answer
To make homemade whipped cream the recipe calls for 1 ½ C of heavy cream, 1 ¼ t of vanilla, and 1 t. of sugar. This amount of whipped cream would be enough to cover one pie. If K makes 6 pies and covers them with whipped cream, how many teaspoons of vanilla will he need?
Answers
Answer:
7 1/2 teaspoons of vanilla
Step-by-step explanation:
From the above question,
The whipped cream for 1 pie contains
1 1/4 teaspoon of vanilla
Hence:
1 pie = 1 1/4 teaspoon of vanilla
6 pies = x
Cross Multiply
x = 6 × 1 1/4
x = 6 × 5/4
x = 30/4
x = 7 2/4
x = 7 1/2 teaspoons of vanilla
Hence: If K makes 6 pies and covers them with whipped cream, he would be needing 7 1/2 teaspoons of vanilla
magdalena creates the drawing shown of a rectangular field . (length : 7.2 cm and height : 3 cm)
she increases all the sides by a scale factor of 4 1/2. what is the area of the new figure?
Answers
Answer:56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Last year, Pinwheel Industries introduced a new toy. It cost $ 4 , 300 to develop the toy and $ 25 to manufacture each toy. Fill in the blanks below as appropriate. A.) Write a linear equation in the form C = m n + b that gives the total cost, C , to produce n of these toys:
Answers
Answer:
C=25n+4300
Step-by-step explanation:
Given that,
Last year, Pinwheel Industries introduced a new toy. It cost $4 ,300 to develop the toy and $25 to manufacture each toy.
We need to write a linear equation in the form C=mn+b that gives the total cost, C, to produce n of these toys.
Here, m will be cost for each toy and b is the cost to develop each toy. So,
C=25n+4300
Hence, this is the required solution.
Joseph has 48 comic books. He sold one-fourth of his collection to his friend. He brought twice the number of comic books as he has now.how many comic books does he have now?
Answers
Answer:
108
Step-by-step explanation:
Given that Joseph has 48 comic books.
As he sold 1/4 of his collection to his friend, so
The number of books, Josef sold = 1/4 x 48 = 12.
The number of remaining books, Josef has = 48 - 12 = 36.
As he brought twice the number of comic books as he has now, so,
the number of comic books, Josef brought = 2 x 36 = 72.
Now, total number of comic books, Josef has = 36 + 72 = 108.
Which table represents a linear function?
Answers
Answer:
The third graph
Step-by-step explanation:
When using slope, all of them need to be constant. TO be linear.
Si dividimos una pizza el cuarto partes iguales y dividimos una de estas partes en dos partes iguales¿Cuál es la fracción que representa una de estas partes más pequeñas?
Answers
Answer:
[tex]\frac{0.5}{4}[/tex]
Step-by-step explanation:
An entire pizza would be represented by the percentage of 100% or the fraction [tex]\frac{100}{100}[/tex]. If we divide this pizza into 4 equal parts that would make one slice a fraction represented as [tex]\frac{25}{100}[/tex] or simplified to [tex]\frac{1}{4}[/tex]. If we now divide this one slice into two equal parts we would divide that fraction by 2 which would give us a new fraction, which would be [tex]\frac{0.5}{4}[/tex]. Represented as a percentage this would mean that this slice is 12.5% of the entire pizza.
HELPP
Lacey was looking at some data on World Cup soccer matches. She noticed a negative linear relationship
between the number of fans attending a match and the number of total goals scored in that match. Here is
computer output from a least-squares regression analysis for using attendance (in thousands of fans) to predict
the total number of goals scored:
Predictor
Coef
SE Coef
T
P
Constant
3.260
0.145
22.535
0.000
Attendance (thousands)
-0.009
0.003
-3.330
0.001
Use this model to predict the total number of goals scored in a match with 90 thousand fans in attendance.
You may round your answer to the nearest whole number of goals.
goals
Answers
Answer:
the answer is 2
Step-by-step explanation:
this was a question on my test on khan academy :D
Consider 8x2 - 48x = -104.
Write the equation so that
a = 1: x2 + x =
Answers
x= 6+√-16/2
or
x= 6-√-16/2
Answer:
-6 and -13
Step-by-step explanation:
Divide both sides by 8
-48/8
and
-104/8
Amie works 6 hours each Saturday and 4 hours each Monday. She also makes $20 a week as a dog walker. She makes a total of $130 each week. If h represents Amie’s hourly rate, which equation can be used to find Amie’s hourly rate?
6 h + 20 = 130
(6 + 4) h = 130
(6 + 4) h + 20 = 130
4 h + 20 = 130
Answers
Answer:
C
Step-by-step explanation:
Answer:
(6 + 4) h + 20 = 130
Step-by-step explanation:
i got it right on my test hope this helps! <3
Rico represents the inequality Negative 3 (StartFraction 8 over x minus 5 EndFraction greater-than negative 16) with the sentence "The product of –3 and the quotient of 8 and the difference of a number and 5 is at least –16." Which describes Rico's error?
Answers
Answer:
B
Step-by-step explanation:
Answer:
the option for ur question is b
The cost of planting a garden can be calculated by using the linear function 100=5v+4h, where v represents the number of vegetables and h represents the number of herbs. If the gardener chooses 5 herbs how many vegetables can they choose?
Answers
Answer:
Step-by-step explanation:
v
=
−
4
h
5
+
20
Andrew spent $45.45 on two shirts that were the same price and a pair of pants. If the pants were $16.99, how much was each shirt?
Answers
Answer:
22.72
Step-by-step explanation:
45.45 divided by 2 is 22.725
Answer:
$14.23
Step-by-step explanation:
$45.45 - $16.99 ( pants ) = $28.46
$28.46 / 2 (since 2 shirts)
$14.23 for both shirts!
What is the slope of у= 3х — 9
Answers
Answer:
3
Step-by-step explanation:
We can recognize this equation as a linear equation, which is given by the following formula:
[tex]y=mx-b[/tex], where m is the slope and b is the y-intercept.
Thus, we see that 3 is the slope, and 9 is the y-intercept.
please help me on this i am struggling
Answers
Answer:
1. 128=x
2.37=x
3. 55=x
4. 15=x
5. 76=x
Step-by-step explanation:
2. 55 (the sum of the angles has to be 90 degrees because is perpendicular 55+35=90)
3. 2x+1=75
-1 -1
2x=74
2 2
X=37
(Vertical lines equal to each other that’s why I did this 2x+1=75)
5. 76 (because perpendicular and has to add 90 degrees 76+14=90)
6. 63 ( because a straight line = 180 degrees
117+63=180)
7. 21 ( because is perpendicular and has to add 90 degrees 69+21=90)
8. 49 (because is perpendicular and has to add 90 degrees 49+41=90)
9. 5x+110=180
-110 -110
5x=70
5 5
X=14
(Because straight line has to add to 180 degrees that’s why I did this 5x+110=180)
10. 53 (because straight line has to add to 180 degrees 127+53=180)
Hope that helps and you understand now :)
How can you use the distributive property to rewrite a quadratic expression in order to reveal its factors and zeros
Answers
Answer:
(x-rooot1)(x-root2)
Step-by-step explanation:
a quadratic ax²+bx+c=0 can be factor as those 2 pharanthesis
(x-rooot1) (x-root2)=0
and you can find the roots by making each parenthesis equal to 0 because of the zero product rule
x-root1 = 0, x=root1
x-root2 =0, x=root2
Solve the equation. If the equation is an identity or if it has no solution, write identity or no solution.
1) 7n + 5 − 9n = 8 − 2n − 3
2) 4(t + 2) = 10
3) 4y+2=−13(8−12y)
Answers
2) 1/2
3) 53/76
PLEASEEEEE HELPPPPPP ASAPPPPP
Answers
The correct answer is 9 or option D:)
bro this is eazy if i get it right give me brainliest
Answer: 9
The notebook shows the money Lisa earned and spent on her first day selling kale at the
Farmers' Market. A positive number represents money earned. A negative number represents
money spent. Lisa wants to find her profit for the first day.
Answers
Answer:
Step-by-step explanation:
7 + (-5)= 2
2(7z + 4) im confused abt this nothing hard
Answers
Answer:
[tex]14z+8[/tex]
Step-by-step explanation:
[tex]2(7z+4)\\\\\boxed{14z+8}\\\\\left \{ {{2*7z=14z} \atop {2*4=8}} \right.[/tex]
Hope this helps.
Given the relation y = –4x2 – 8, if the input is 2, what is the output?
Answers
Answer:
y = -24
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
y = -4x² - 8
x = 2
Step 2: Solve
Substitute: y = -4(2)² - 8Evaluate: y = -4(4) - 8Multiply: y = -16 - 8Subtract: y = -24Answer:
Given, input (x) is 2,
[tex]y = -4x^2 - 8\\y = -4(2)^2 - 8\\y = -4(4) - 8\\y = -16 - 8\\y = -24[/tex]
Output (y) is 24
100 points: Sketch a graph of y = 1x| Then sketch a graph of y = -x + 4 on the same coordinate plane. If you can change colors of your graph, make this one red. In the box below, describe the transformation that took place from y=[xl to y = -1x + 4|
Answers
Answer:
i cant like give you the answer off the top of my head but when i did this the video helped me a lot
Step-by-step explanation:
its How to Graph the line y = x by Cowan Academy
What is the rectangular form of 17(cos(315°) + isin(315°))?
Answers
The value of the expression 17[cos(315°) + isin(315°)] will be (17√2 / 2) – (17√2 / 2)i. Then the correct option is A.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The rectangular form of 17(cos(315°) + isin(315°)).
We know that the value of cos 315° and sin 315°.
[tex]\sin 315^o = \dfrac{-1}{\sqrt2}\\\cos 315^o = \dfrac{1}{\sqrt2}[/tex]
Then the value of the expression will be
⇒ 17[(1/√2) – (1/√2)i]
⇒ (17√2 / 2) – (17√2 / 2)i
Then the correct option is A.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
Answer:
A
Step-by-step explanation:
A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a
pair of shoes that has a wholesale cost of $67?
Answers
Answer:
$93.8
Step-by-step explanation:
(*markup is an increase in price)
67 + ( 40% × 67 )
= 67 + ( 40/100 × 67/1 )
= 67 + 26.8
= 93.8
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