Answer: IF YOU ARE ON KHAN ACADEMY THE ANSWER IS NOT -1
THE CORRECT ANSWER ON KHAN IS -9/4
For equation 3 + 2y = √(-y) the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
When Lea squares both sides of the equation 3 + 2y = √(-y), she gets:
(3 + 2y)² = (-y)
Expanding the left side, we get:
9 + 12y + 4y² = -y
Bringing all the terms to one side, we get a quadratic equation:
4y² + 13y + 9 = 0
We can solve this quadratic equation using the quadratic formula:
y = (-b ± √(b² - 4ac)) / 2a
Substituting the coefficients a = 4, b = 13, and c = 9, we get:
y = (-13 ± √(13² - 4(4)(9))) / 2(4)
y = (-13 ± √97) / 8
So the solutions are:
y = (-13 + √97) / 8 or y = (-13 - √97) / 8
Hence, the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8
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Lisa takes a night walk after dinner every night. She walks 1/4 mile in 2 minutes. How how does she walk in 10 minutes?
Answer:
Step-by-step explanation:
.25 mile in 2 mins
.25(5) miles in 10 min
1.25 mins in 10 mins
There is 5-2 mins in 10 mins. So times by the 5.
Answer:
Its 1.25
Step-by-step explanation:
PLEASE HELP ASAP!!!!! i’ll mark brainlest
Answer:
It would be hundreds
Step-by-step explanation:
I hope it is right :I
WILL GIVE BRAINLY TO THE CORRECT ANSWER Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.
A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4
Answer:
B
Step-by-step explanation:
Hopes this helps
Answer:
The farthest temperature from zero during the week is 5 °F because it's absolute value, 5, is the highest out of all the other numbers. So its answer B!
Step-by-step explanation:
Use a geometric model to factor x2 - 9 by following these steps:
Step 1: Model x2 - 9 by placing tiles in the product section. (Do not try and form a rectangle.)
Answer:(x-3) (x+3)
Step-by-step explanation:
The equation x^2 - 9 is modeled by placing tiles. The image is attached below.
What is tile modeling?It is the kind of modeling in which tiles are used to represent products. It provides a visual representation of the multiplication.
How can we make a model of multiplication?To make a model, first, we must factorize the expression.
The given expression is x^2 - 9.
This can be factored as shown below:
x^2 - 9 = (x - 3)(x + 3)
We must now make a horizontal row containing x, -1, -1, and -1.
Similarly, we must make a vertical column containing x, 1, 1, and 1.
Now we must multiply each row and columnn to together and add them together as shown below:
x^2 - x - x - x + x + x + x - 9 = x^2 -9
This is the same as the given expression.
Thus, we have modeled the given expression by placing tiles in the product section.
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Can you please help me
Answer:
6
Step-by-step explanation:
You must multiply both sides by a common multiple of all denominators. Usually, the least common multiple, LCM, is used since it is the smallest common multiple and makes calculations easier.
The LCM of 2, 3, and 6 is 6.
Answer: 6
Lucas bought 3 iPads for a total of $360. At this rate, what is the cost of 2 iPads?
Answer:
240
Step-by-step explanation:
360 divided by 3 is 120 so 2 times 120 is 240
Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Yolanda used?
n + q = 28
0.05n + 0.25q = 4
n + q = 4
5n + 25q = 28
n + q = 28
5n + 25q = 4
n + q = 4
0.05n + 0.25q = 28
Answer:
n + q = 28 0.05n + 0.25q = 4
Answer:
The answer is A :>
What is the slope of a line parallel to the line whose equation is 6x-2y=32
Answer:
Write this:
y= -3x + 1
Step-by-step explanation:
Solve the equation:
6x -2y = 32
Subtract 6x from both sides
-2y = -6x +32
divide by negative to on both sides
y = -3x -16
ANSWER:
y = -3x (any number ,negative or positive, except 16)
The slope of the line will be 3.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of parallel line is,
⇒ 6x - 2y = 32
Now,
The slope of two parallel lines are always same.
So, We find the slope of the parallel line.
Since, The standard form of equation line is,
⇒ y = mx + c
Where, m is slope of the line.
So, We can change the equation of parallel line in the standard form.
The equation of parallel line is,
⇒ 6x - 2y = 32
Add 2y both side,
⇒ 6x - 2y + 2y = 32 + 2y
⇒ 6x = 32 + 2y
Subtract 32 both side,
⇒ 6x - 32 = 2y
⇒ 2y = 6x - 32
Divide by 2, we get;
⇒ y = 3x - 16
Compare with y = mx + c, we get;
The slope of the line (m) = 3
Thus, The slope of the line will be 3.
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Use the discriminant to determine all values of k which would result in the graph of
the equation y = x2 + 20x + k not intersecting the x-axis.
Answer:
k > 100
Step-by-step explanation:
y= x²+20x+k
if the graph doesn't intersect the x-axis it means it has no real roots so the discriminat has to be negative so will have imaginary roots
discriminant is
b²-4ac = 20²-4*1*k = 400-4k for this to be negative k has to be more then 100 so will have 400 - a number bigger then 400
k > 100 is the solution
5(x - 6) + 2 = 7x - 8
what is x
Answer:
x = -10
General Formulas and Concepts:
Order of Operations: BPEMDAS
Properties
DistributiveStep-by-step explanation:
Step 1: Define equation
5(x - 6) + 2 = 7x - 8
Step 2: Solve for x
Distribute 5: 5x - 30 + 2 = 7x - 8Subtract 5x on both sides: -30 + 2 = 2x - 8Add: -28 = 2x - 8Add 8 on both sides: -20 = 2xDivide 2 on both sides: -10 = xRewrite: x = -10Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-10 - 6) + 2 = 7(-10) - 8Subtract: 5(-16) + 2 = 7(-10) - 8Multiply: -80 + 2 = -70 - 8Add/Subtract: -78 = -78Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
Answer:
$15.75
Step-by-step explanation:
30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75
Multiply. Write your answer in scientific notation.
(3 * 1010)(2 x 1010)
Answer:
6,120,600
Step-by-step explanation:
For the function f(x) = (x – 9)7, find f-1(x).
Answer:
Let y=x,
y=(x-9)7
(y+9) ÷7=x
f-1(x)=(y+9)÷7
5) The perimeter of the given square is 56cm. Construct an equation and hnd
the side of the square.
2x
Answer:
side = 14 cm
Step-by-step explanation:
Let 'x' be the side of the square.
Perimeter = 4 * side
= 4*x
= 4x
4x = 56
Solution:
4x = 56
Divide both sides by 4
x = 56/4
x = 14 cm
what is the Symmetric property
Answer:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
Step-by-step explanation: you couldnt have looked it up on ggle?...haha -_-'
Find the missing side lengths.
Answer:
Sides are 3√2
Step-by-step explanation:
45-45-90 triangle shortcut, both sides are the same but needs to make multiply the √2 to make it the hypotenuse.
THIS IS 30PTS. help fast
Answer:
1. x>-1 D
2. x<-8 A
3. A
4. C
5.A
Step-by-step explanation:
1. -2x+5<7
-2x<2
x>-1
2. 3-(2x-5)<-4(x+2)
3-2x+5<-4x-8
8-2x<-4x-8
16-2x<-4x
16<-2x
(because youre dividing by a negative, the sign flips. this is not a typo)
-8>x
x<-8
3. A
4. C
5. A
What is the best estimate for the value of the expression?
(34/8-16/3)-14/9
Answer:
The best estimate is -2.64
Step-by-step explanation:
To get the estimate value we are rounding all values to the nearest hundredth
You use BOMDAS/PEMDAS to do this expression
(34/8 - 16/3) - 14/9
= 4.25 - 5.33 - 14/9
= 4.25 - 5.33 - 1.56
= -1.08 - 1.56
= -2.64
What is the solution for x in the equation?
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Reset
BRAINLEST Please solve this question copy and paste the link! For 5 hours nobody has answered my question so please answer! Link: https://brainly.com/question/19457951
Answer:
As the ratio is 5:3, it totals 8 parts. I would do 480 divided by 8 to get the number of pages per part, then multiply that number into the ratio.
480 / 8 = 60
The value of each part being 60 put into the ratio 5:3 = 60x5 : 60x3
Which gives your answer.
THIS IS 30PTS. help hi
Answer:
The first one.The first one.The first one The first one too (not 100 percent sure, though) And once again, the first one.Step-by-step explanation:
The sign should change (flip) when dividing by a negative number.
I hope all is correct. Good luck
Answer:
x>1
Step-by-step explanation:
2x+5<7
subtract 5 from both sides
-2x<2
divide by negative 2 and flip the sign
x>1
HTH :)
I NEED HELP FAST PLEASE
Answer:
The second and fourth option
Step-by-step explanation:
In order for two lines to be perpendicular they must intercept each other and their slope must be the opposite inverse; ex: [tex]\frac{-1}{4}[/tex] the negative inverse is 4 (multiplying by -1 and flipping the fraction)
PLZ HELP IM HAVING TROUBLE ON MY RSM!
Answer:
=
64 / 7x -2
Step-by-step explanation:
You multiply 16 and 4/7 than you take away 2 I think im bad at this-
Someone please help me with this! Thanks :)
Answer:
[tex]y=2x+7[/tex]
Step-by-step explanation:
Given the equation
[tex]y=-\frac{1}{2}x[/tex]
comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is -1/2
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
the slope of the perpendicular line will be: 2
Therefore, the point-slope form of the equation of the perpendicular line that goes through (-2, 3) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 2 and the point (-2, 3)
[tex]y-3=2\left(x-\left(-2\right)\right)[/tex]
[tex]y-3=2\left(x+2\right)[/tex]
Add 3 to both sides
[tex]y-3+3=2\left(x+2\right)+3[/tex]
[tex]y=2x+7[/tex]
Find f(2) if f(x) = (x + 1)2
5
6
9
Answer:
it's actually 9
Step-by-step explanation:
I tried 6 and it said it was wrong but when I tried 9 it said it was correct
I WILL GIVE BRAINLIEST ANSWER TO FIRST PERSON. Which fraction is equivalent to 2/6 ?
Answer:
1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30
Step-by-step explanation:
Find the next two numbers and state a rule describing each pattern
44. 0,7,14,21, ... 45. 1,3,9,27, ... 46. 1,4,9,16, ...
Answer: Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.”
Step-by-step explanation:
So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
If I charged 30$ a hair cut the whole year how many times would each customer have to come in to get 17,510$
Pleas evelp im scared i fail
Answer:
z=4
y=6
q=13
a=36
r=21
m=15
Step-by-step explanation:
hopefully this helps :)
The tree in Debra's backyard is 6 meters high. How high is it in centimeters?
Be sure to include the correct unit in your answer.
Answer:
600 centimeters. 1 meter is equal to 100 centimeters