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
4. What is the slope of a line that is parallel to the line described by 3x + 2y = 8?
a.
m = 3
b.
m= 3/2
c.
m= -3/2
d.
m= 2
Answers
B. M=3/2
Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. If the side lengths are all the same, what is the length of each side of the box?
Answers
Answer:
1080
Step-by-step explanation:
What is the difference between the sum of the measures of the interior angles of a regular hexagon and the sum of the measures of the exterior angles of a regular pentagon
Answers
Answer:
180 degrees
Step-by-step explanation:
8x + 7y = 2
8x + 3y = 10
Answers
Answer:
what do you want from this question?
Step-by-step explanation:
A circuit overloads at 1800 watts of electricity you plug in a toaster that uses 800 watts of electricity write and solve an inequality that represents how many watts you can add to the circuit without overloading it.
Answers
Answer:
x ≤ 1000 W
Step-by-step explanation:
Since the circuit becomes overloaded when the load exceeds 1800W and the toaster uses 800 W.
Let the additional watts be x
Therefore;
800 + x ≤ 1800
x ≤ 1800 -800
x ≤ 1000 W
What is the volume of the square pyramid? Round to the nearest hundredth, if needed.
5 in.
9 in.
9 in
0405 in 3
135 in. 3
675 in 3
75 in. 3
Answers
Answer:
The answer is 135 in 3.
Step-by-step explanation:
To find the volume of a square pyramid, first you need to find the base and height. In this case,
a = 9
h = 5
Now we use the formula (1/3 a^2 h) To find the volume.
I will use )( To show numbers being multiplied, example: 3)(4 = 12
=1/3)(9 cm^2)(5 cm
=1/3)(81 cm)( 5 cm
= 135 in. 3
Triangle has side lengths 2, 3, and 4.
Triangle has side lengths 4, 5, and 6.
Is Triangle similar to Triangle?
Answers
Answer:
I think no
Step-by-step explanation:
I would say no because they would all have to be the same. 2/4= 1/2 so all the side lengths would have to divide into one half, and they don't
Roxanne has already jarred 10 liters of jam and will jar an additional 3 liters of jam every
day. How many days does Roxanne need to spend making jam if she wants to jar 16 liters
of jam in all?
Explain please and how to do the equation
Answers
Answer:
3
My logic:
so she jars 10 on the first day (that is 1 day) and she wants to jar 16. so if you subtract 10 from 16 you get 6. Now we know she wants to jar 6 more, and if she does 3 every day then you would divide 6 by 3 and get 2. 2+1 is 3, so 3 days. (if you cant chose 3 chose 2 because your teacher might not want yo to count the first day)
Hope this helped!
Need help ASAP! If IN=2x+10 and AT=26, find x.
A.) 12
B.) 10
C.) 6
D.) 8
Answers
Answer:
X=8
The three lines means that IN and AT are equal so IN must equal 26. 2(8)=16 and 16+10=26
The first four terms of a sequence are shown below:
9,5, 1, -3
Which of the following functions best defines this sequence?
Answers
Answer:
-4
Step-by-step explanation:
Write the equation of the line when m = 4 and the point (3, 15) lies on the line.
Answers
Answer:
y=4x+3
Step-by-step explanation:
y=mx+b
15=4(3)+b
15=12+b
-12 -12
3=b
y=4x+3
What shape is generated when AABC is rotated around the vertical line
through B and C?
Answers
The solution is, The shape that is generated is a Cone, when AABC is rotated around the vertical line through B and C.
What is a cone?A cone is a solid which tapers from a circular base to a point. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.
here, we have,
given that,
triangle ABC is rotated around the vertical line through B and C.
now, we have to find shape that is generated .
we know that,
A triangle, when rotated about one of it's side will generate a solid in a form of a Cone.
again, we have,
The cone could be a hollow one or a solid filled one, depending on the properties of the triangle being rotated.
Hence, The solution is, The shape that is generated is a Cone, when triangle ABC is rotated around the vertical line through B and C.
To get more about cone visit:
brainly.com/question/1082469
#SPJ7
Need answer ASAP will give brainliest check out the picture
Answers
Answer:
i think... x=6
Step-by-step explanation:
3x+9=x+21
3x−x=12
2x=12
x=6
Help me solve this problem please
Answers
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
I dont have an explanation, sorry
4. A student buys a movie to watch on her phone, but she's worried about the
amount of storage space downloading it will take up. She starts the download and
notices it will download at a constant rate. After 3 minutes, she checks her phone
and sees that she has 2,345 MB of space available. She checks her phone after 7
minutes and notices that she now has 2,105 MB of space available.
(a) How many MB of available storage are being filled by the movie per minute?
Answers
Answer:
240
Step-by-step explanation:
by minusing the both values it'll be 240
The rate at which the storage space of the mobile gets filled by the movie is - 60 MB per minute.
Given that,
A student buys a movie to watch on her phone
it will download at a constant rate.
After 3 minutes, she checks her phone and sees that she has 2,345 MB of space available.
She checks her phone after 7 minutes and notices that she now has 2,105 MB of space available.
The rate of change is defined as the change in value with the rest of the time is called rate of change.
Here,
Rate = (storage available after 3 minutes) - (storage available after 7 min)]
---------------------------------------------------------------------------------------------
Time interval
Rate = (2,345 - 2105 ) / (3 - 7)
Rate = - 240 / - 4
Rate = - 60
Where negative sign shows that the amount of storage getting reduced.
Thus, the rate at which the storage space of the mobile gets filled by the movie is - 60 MB per minute.
Learn more about the rate of change here: https://brainly.com/question/13103052
#SPJ2
Which equation is not true?
Answers
Answer:
the answer is B
Will give brainliest if correct.
Answers
Answer:
The equation is y = 3x + 15.
The second equation is y = 3 * 50 + 15
If you have a value of 50 berries picked, you would make 165 dollars.
8 What value of x makes the equation 5(7x-3) - x=-4x – (-9- 2x)
true?
Answers
1. What is the value of x in this equation? 5x – 2(2x - 1) = 6 *
A.3
B.4
C.7
D.8
Answers
Answer:
Answer B. 4
Step-by-step explanation:
Equations
Solve the equation:
5x - 2( 2x - 1 ) = 6
Operate the parentheses:
5x - 4x + 2 = 6
Collect like terms:
x + 2 = 6
Subtract 2:
x = 6 - 2
x = 4
The value of x is 4
Answer B. 4
A store sells rope by the meter. The equation p = .8 L represents the price: p (in dollars) of a piece of nylon rope that is L meters long.
How long is a piece of nylon rope that is $2.80?
Answers
Answer:
3.5 meters
Step-by-step explanation:
Equation: p = 0.8L
Given: p = 2.80
To find the length of a piece of nylon rope that costs $2.80, input the given value of p(2.80) into the equation and solve for L:
p = 0.8L
2.8 = 0.8L
Divide both sides by .8 to isolate L:
[tex]\frac{2.8}{0.8} =\frac{0.8L}{0.8}[/tex]
3.5 = L
The length of a piece of nylon rope that costs $2.80 is 3.5 meters long.
Each day, a local dog shelter spends an average of $2.40 on food per dog. The manager estimates the shelter's daily expenses, assuming there is at least one dog in the shelter, using the function E(x)= 30+2.40x . Which statements regarding the function are correct? *
Answers
I know... It's hard to study for quiz, test, and more right? In the end there is a * meaning that it is a question on google forms. I'll help you out though. DO NOT do this next time okay? :)
Step-by-step explanation:
x + 16 = 9z
Help please
Answers
Answer:x=9z + 16
z= x/9 + 16/9
Step-by-step explanation: dont know if i solve for x or z so i did both subtract 16 from both sides for x
Isolate the variable by dividing each side by factors that don't contain the variable. for z let me know if u need help
Answer:
Hallooooooo
Step-by-step explanation:
Which function has a graph with a y-intercept of -4?
A. 2x – 4y = 8
B. 2x – 8y = -4
C. 4x – 2y = -8
D. 4x - 2y = 8
Answers
Answer:
D
slope is 2 and y-intercept is (0, -4)
Step-by-step explanation:
4x-2y= 8 move variable x to the right (change signs)
- 2y= -8 + 4x Divide both sides by 2
y= -4 + 2x reorder terms using communitive property
y = 2x -4
y= mx + b
Now first tell me whts 9.6- 26.8
but I already kno!
Answers
Please help !!! I don't understand
Answers
Answer:
P=160+6x
Q=x+40
H=4x-5
P+Q+H=180...P=61.82
The figures below are similar. Find the length of the missing side.
90
10
7
Х
36
4
14
126
X=
Answers
Answer:
63
Step-by-step explanation:
multiply the side by 9
At a football game, 69 out of 92 students were wearing the color red to support the home team. What percent of the students were wearing red?
A.
69%
B.
88%
C.
65%
D.
75%
Answers
Answer c
Step-by-step explanation:
Answer:
D. 75%
Step-by-step explanation:
Divide 69 by 92 and you will get 0.75, move the decimal to the right two times. and there is your answer.
if you answer this right I will give you Brainliest
What is 2+2
Answers
Answer:
fish
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Sierra plays a hockey video game. She earns 5 stars for
every goal she scores and loses star every time she
misses the goal. She scores 4 goals and misses
Answers
Answer:
the answer is 16
Step-by-step explanation:
5. Two-fifths of a number is -26. Find the number.
Answers
Answer:
x = -65
Step-by-step explanation:
To start off, we can create our equation. We know that "of" is just another word for multiply. We will then end up with [tex]\frac{2}{5}[/tex] * x = -26. To solve this equation, we will find [tex]\frac{2}{5}[/tex] of -26. To make things less confusing, lets take away the negative for now. 26 x 5 = 130 and 130 ÷ 2 is 65. We then add our negative back on and x = -65.