Consider this equation.

X-1-5=x-8

The equation has blank and blank. A valid solution for x is blank

Answers

Answer 1

The equation √( x - 1 ) - 5 = x - 8 has 2 valid and no extraneous solution , a valid solution is x = 2 or 5.

Equation is equal to,

√( x - 1 ) - 5 = x - 8

Add 5 on both the side of the equation we get,

⇒ √( x - 1 ) - 5 + 5 = x - 8 + 5

⇒ √( x - 1 ) = x - 3

Squaring both the sides of the equation we get,

⇒ ( √x - 1 )² = ( x - 3 )²

⇒ x - 1 = x² - 6x + 9

⇒ x² - 6x - x +  9 + 1 = 0

⇒ x² -7x + 10 =0

Factorize it using splitting method to get the solution,

⇒ x² - 2x - 5x + 10 =0

⇒ x( x -2 ) - 5 ( x - 2 ) =0

⇒ ( x - 2 ) ( x - 5 ) = 0

⇒  x = 2 or x = 5

Therefore, equation has 2 valid solution and no extraneous solution.

valid solution for x = 2 or 5.

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The above question is incomplete, the complete question is :

Consider this equation.

√( x - 1 ) - 5 = x - 8

The equation has blank and blank. A valid solution for x is blank.


Related Questions

Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.

Answers

Detail: 37









Answer: 69


Gummi


Blick: 55

HELLPPP!! GIVING BRAINLIST TO WHOEVER ANSWERS QUESTION CORRECTLY AND DESCRIBES THE WAY THEY FOUND THE ANSWER

HELLPPP!! GIVING BRAINLIST TO WHOEVER ANSWERS QUESTION CORRECTLY AND DESCRIBES THE WAY THEY FOUND THE

Answers

Answer:

C

Step-by-step explanation:

465 base 8 can be written as 5(8^0)+ 6(5^1)+4(8^2) = 309(this is base 10)

then base ten can be written into base 5 by dividing and writing down the remainder. 309/5 = 61 r 4.... which is equal tp 2214. since there is only 1 answer that ends with 4, it is C. Hopefully this is right!

Order these numbers from the least to the greatest. 7.618, 7.681, 7.6801, 7.0681

Answers

Answer:

7.0681, 7.618, 7.6801, 7.681

Step-by-step explanation:

from the least (smallest) to the greatest (largest)

7.0681, 7.618, 7.6801, 7.681

Order these numbers from the least to the greatest. 7.618, 7.681, 7.6801, 7.0681

100 POINTS!!!! Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n
ITS NOT n^9

Answers

Answer: Must be n13 the 13 would be like smaller but i dont know how to do that

Step-by-step explanation:

Answer:

n^13

Step-by-step explanation:

i dont know if this is right? is n6 = n to the square root of 6


If the area of a square plot of
land is 9 miles squared, what is
the perimeter of this land?

Answers

Answer:

\( \huge{ \fbox{ \sf{12 \: miles}}}\)

Step-by-step explanation:

Given,

Area of a square plot = 9 miles

First, finding the length of the land

\( \boxed{ \sf{Area \: of \: a \: square \: = \: {length}^{2} }}\)

\( \mapsto{ \sf{9 = {length}^{2} }}\)

\( \mapsto{ \sf{ {length}^{2} = 9}}\)

\( \mapsto{ \sf{ \sqrt{ {(length)}^{2} }} = \sqrt{9} } \)

\( \mapsto{ \sf{length = 3 \: miles}}\)

Now , finding the perimeter of the land :

\( \boxed{ \sf{perimeter \: of \: a \: square = 4 \: * length}}\)

\( \mapsto{ \sf{perimeter \: = \: 4 \:  * \: 3}}\)

\( \mapsto{ \sf{perimeter \: = 12 \: miles}}\)

The perimeter of the land = 12 miles

Hope I helped!

Best regards! :D

~\( \text{TheAnimeGirl}\)

Joe measures a bug and finds out it is 3.5 centimeters long.

How many millimeters long is the bug?

1 cm = 10 mm


0.035 mm

0.35 mm

35 mm

350 mm

Answers

Answer:

35 mm

Step-by-step explanation:

Formula:multiply the length value by 10

Joe measures a bug and finds out it is 3.5 centimeters long.How many millimeters long is the bug?1 cm

Answer:

0.35

Step-by-step explanation:

3.5÷10=0.35

Helloooo please give the right answer :)

Helloooo please give the right answer :)

Answers

Answer:

9 feet

Step-by-step explanation:

3X3=9 feet therefore 3 yards is equal to 9 feet

Draw a graph that illustrates the given situation: You ride your bike to your friend's house. You leave your house, which is at sea level and first go up a big hill for about a mile, then you ride on a flat surface for 2 miles. Next you hit a slight downhill for a mile, followed by another steep uphill for a half mile. You end your ride on the last half mile going downhill.
Use the x axis as your time and your y axis as vertical height above seal level. Label these on axis.

Answers

Answer:

Please find attached the required drawing that illustrates the given situation

Step-by-step explanation:

With a driving speed of 0.003 miles per second, which is approximately 4.83 meters per second, we have the drawing of the graph that represent the given situation which is create with Microsoft Excel and attached alongside here

The total time for the travel is approximately 2,244 second with a total distance of approximately 6.732 miles, using angles, 60° for a steep slope and 30° for a gentle slope

Draw a graph that illustrates the given situation: You ride your bike to your friend's house. You leave

find the largest four-digit value of ${}t$ such that \[\sqrt{t-\sqrt{t-\sqrt{t-\sqrt{t-\cdots}}}}\]is an integer.

Answers

To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.

Let's denote the given expression as x:

x = √(t - √(t - √(t - √(t - ...)))

To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:

x = √(t - x)

Squaring both sides to eliminate the square root:

x^2 = t - x

Rearranging the equation:

x^2 + x - t = 0

To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.

By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.

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I’m trying to figure out this question but can’t need help asap

Im trying to figure out this question but cant need help asap

Answers

Answer:

bottom right rectangle: 5x − y

bottom circle: 6x

Step-by-step explanation:

First, solve for the bottom right rectangle by finding the difference between the top right rectangle and the middle right circle:

(9x + 4y) − (4x + 5y)

= (9x − 4x) + (4y − 5y)

= 5x − y

Next, to find the bottom circle, add the bottom left rectangle with the bottom right rectangle (the one we just solved for):

(x + y) + (5x − y)

= (x + 5x) + (y − y)

= 6x

X
1
y=ax²+bx+c 1.75
B
2
6
3
11.75
4
19
5
27.75

Answers

Answer:

ydiyetd5dtd7rowo47do7tso47syjfzj4tsuryusu6eaitddtsie6i64so7rso6ro6zoyds7orsoslu4sp

A baker's bread recipe calls for 3
cups of flour. She plans to make 2 loaves of
bread
If the baker's measuring scoop holds cup, how many scoops of
flour will she need in all?

Answers

answer: 6 cups
explanation: she has 1 cup measuring cup and has to fill it 3 times for each loaf 3*2=6

Adelaide wants to buy a new refrigerator. The refrigerator costs $1750. Adelalde decides to finance the refrigerator for 36 months at an APRO


12. 5 %. Determine Adelaide's monthly payment. Round your answer to the nearest cent, if necessary.

Answers

Adelaide's monthly payment for financing the refrigerator over 36 months at an APR of 12.5% is approximately $55.33

This calculation is based on the formula for calculating the monthly payment on a loan, taking into account the principal amount, the monthly interest rate, and the number of months.

In the first paragraph, we determine the principal amount as $1750, which represents the cost of the refrigerator. The annual percentage rate (APR) of 12.5% is converted to a monthly interest rate (r) by dividing it by 12 and then by 100. The number of months (n) is given as 36.

In the second paragraph, we substitute the values into the monthly payment formula and perform the necessary calculations. The formula incorporates the principal, the monthly interest rate, and the number of months to determine the monthly payment amount. After evaluating the expression, we find that Adelaide's monthly payment is approximately $55.33.

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WILL GIVE BRAINLIEST IMMEDIATELY!!! EXPLANATION+CORRECT ANSWER FOR BRAINLIEST!!!

Consider the diagram below where mSelect all of the statements that are true.

Statements and the diagram are shown in the photos.

IF YOU PUT A RANDOM ANSWER OR A LINK I WILL REPORT YOU AND EMAIL BRAINLY.

WILL GIVE BRAINLIEST IMMEDIATELY!!! EXPLANATION+CORRECT ANSWER FOR BRAINLIEST!!!Consider the diagram
WILL GIVE BRAINLIEST IMMEDIATELY!!! EXPLANATION+CORRECT ANSWER FOR BRAINLIEST!!!Consider the diagram

Answers

Answer:

Angle EDF= 53

Step-by-step explanation:

Supplementary angle: Angle EDC and angle EDF

which means angle EDC+ Angle EDF=180

Angle EDC show in the graph 127 degree

Angle EDG= 180-127=53Degree

Can anyone help me with this answer please!?

Can anyone help me with this answer please!?

Answers

Hey there!

If r = 2 then substitute it for where r is in your given equation

New equation:

\(\dfrac{7(2)}{2}\)

\(\bf{7(2) = 14}\)

\(\dfrac{14}{2} = 7\)

\(\bf{Answer: 7}\) ☑️

Good luck on your assignment and enjoy your day!

\(\frak{LoveYourselfFirst:)}\)

Evaluate the expression 5c-2 for c=5.
help

Answers

Answer:

= 23

Step-by-step explanation:

(5) (5) - 2 ( multiply )

= 5 * 5 = 25

( subtract ) 25 - 2 = 23

BRAINLIEST TO CORRECT ANSWER!!

BRAINLIEST TO CORRECT ANSWER!!

Answers

120/1500=x/100, x=8

So, you make 8% commision, meaning you now have to do this:

x/1300=8/100, so x=$104

It is a because it you do the the step

HELP PLEASE GIVING BRIANLIEST

HELP PLEASE GIVING BRIANLIEST

Answers

1)x=3

2)m=1 4/5

3)M= - 11

4)X=7 1  1/2

5) i dont  know this one sorry

i hope this is enough it took long and i skipped half of my class <3

quadrilateral math has vertices m = (1,3), A= (-4,6|), T= (-2,7), and H=(5,9). Quadrilateral M'A'T'H' is the image after dilating MATH by scale factor of 3 about the origin. What are the coordinates of A'? A. (-4,18) B. (-12,6) C.(-12,18) D(-64,216)

Answers

The coordinates of A' is (-12,18) which is option c so option c is correct.

Given that:

Quadrilateral math has vertices m = (1,3), A= (-4,6|), T= (-2,7), and H=(5,9). Quadrilateral M'A'T'H' is the image after dilating MATH by scale factor of 3 about the origin.

Let take x and y coordinates

scale factor = 3

(x ,y) = (3x,3y)

So A(-4,6) = A'(3*(-4),3*(6)

=A'(-12,18)

Therefore option c (-12,18) is correct.

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out of 8 marbles, 3 were green. what percentage were green?

Answers

Answer:

37.5%

Step-by-step explanation:

to get a percentage you take the fraction 3/8 then times 100

Answer:

37.5%

Step-by-step explanation:

3/8 equals to .375 then multiply .375 by 100 to get the percentage, which is 37.5

If someone walks along the outside of the garden from point A to point B, what percent of the garden’s border would they have walked around?

If someone walks along the outside of the garden from point A to point B, what percent of the gardens

Answers

To solve for the length of arc AB, we need to know the measurement of the central angle that subtends it.

We know the following property:

Solving for x, we get:

\(\begin{gathered} 70=\frac{1}{2}(50+x) \\ \\ 140=50+x \\ \\ 90=x \end{gathered}\)

So we now know that arc DC meaures 90 degrees.

But arc DC is equal to m∠DYC, and m∠DYC = m∠EYB because they are vertical angles. m∠EYB = arc EB. Therefore arc EB measures 90 degrees.

arc EB = arc EA + arc AB

90 = 50 + arc AB

So arc AB = 90 degrees

We can now use this to solve the length of the arc.

\(\begin{gathered} Arclength=2\pi r(\frac{\theta}{360}) \\ \\ AB=100\pi(\frac{90}{360}) \\ \\ AB=78.54 \end{gathered}\)

People would have to walk 78.54 units to move from point A to point B along the outside of the garden.

If someone walks along the outside of the garden from point A to point B, what percent of the gardens

a car is driving northwest at mph across a sloping plain whose height, in feet above sea level, at a point miles north and miles east of a city is given by (a) at what rate is the height above sea level changing with respect to distance in the direction the car is driving?

Answers

The height above sea level changing with respect to distance in the direction the car is driving is 0.98 feet per mile.

To find this rate of change, we need to use the concept of partial derivatives. We're given a function that describes the height of the plain above sea level at any given point, which is given by:

h(x,y) = 1000 + 0.01x² + 0.02xy + 0.01y²

Here, x represents the number of miles east of a city, and y represents the number of miles north of the same city. The constant 1000 represents the initial height of the plain at the city itself.

This can be done using the Pythagorean theorem, since the car is moving northwest at a constant speed:

d² = x² + y²

Taking the derivative of both sides with respect to time (which we'll call t) gives us:

2dd/dt = 2x(dx/dt) + 2y(dy/dt)

Specifically, we know that:

dx/dt = -dy/dt

Substituting this relationship into our earlier equation gives us:

dd/dt = (-x/y)dx/dt

Now, we can use the chain rule to find the partial derivative of the height function with respect to d:

∂h/∂d = ∂h/∂x x ∂x/∂d + ∂h/∂y x ∂y/∂d

Using the chain rule and the fact that d² = x² + y², we can simplify this expression as follows:

∂h/∂d = (2xdx/dt + 2ydy/dt) x (∂h/∂x x x/d + ∂h/∂y x y/d)

Plugging in the expressions we derived earlier for dx/dt and dy/dt, we get:

∂h/∂d = (-2xy/y)dx/dt x (0.01x + 0.01y + 0.02xy/y) + (2xy/x)dy/dt x (0.01

Now, we need to plug in the expressions for ∂h/∂x and ∂h/∂y. These are given by:

∂h/∂x = 0.02x + 0.02y

∂h/∂y = 0.02x + 0.02y

Substituting these expressions into our earlier equation, we get:

∂h/∂d = -0.02xdx/dt - 0.02ydy/dt + 0.01x(0.02x + 0.02y) + 0.02y(0.02x + 0.02y) + 0.01y(0.02x + 0.02y) + 0.02x(0.02x + 0.02y)

Simplifying this expression, we get:

∂h/∂d = -0.02xdx/dt - 0.02ydy/dt + 0.04xy + 0.02x² + 0.03xy + 0.02y²

Collecting like terms, we get:

∂h/∂d = -0.02xdx/dt - 0.02ydy/dt + 0.07xy + 0.02(x² + y²)

Now, we can substitute in our expression for dx/dt in terms of dy/dt:

dx/dt = -dy/dt

This gives us:

∂h/∂d = 0.02ydy/dt - 0.02xdx/dt + 0.07xy + 0.02(x² + y²)

Finally, we can substitute in the values of x, y, and d that we're given in the problem (namely, x = 3 and y = 4 and d = 5):

∂h/∂d = 0.02(4)dy/dt - 0.02(3)(-dy/dt) + 0.07(3)(4) + 0.02(3² + 4²)

Simplifying this expression, we get:

∂h/∂d = 0.1dy/dt + 0.98

So the rate at which the height above sea level is changing with respect to distance in the direction the car is driving is given by 0.1 times the rate at which y (the number of miles north of the city) is changing with respect to time, plus a constant term of 0.98 feet per mile.

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Y=5x
A proportional relationship

Answers

Yes, the equation y = 5x represents a proportional relationship

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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3(x + 6) = 48 pls help me

3(x + 6) = 48 pls help me

Answers

I think the answer is 10

What value of n makes the statement true?
6xn· 4x2 = 24x6

Answers

Answer:

4

Step-by-step explanation: This one is easy if you have 6 groups of ones then times it by 4 and you will get 24.

Answer:

N= 4

C=5

T=22

K=1

Step-by-step explanation:

Edge 2021

A. x = 80 degrees
B. x = 60 degrees
C. Cannot be determined
D. x = 30 degrees

A. x = 80 degrees B. x = 60 degrees C. Cannot be determined D. x = 30 degrees

Answers

The measure of the angle is 60 degrees. Option B

How to determine the value of the variable

It is important to value of the angle, we have to take note of the following;

The sum of angles on a straight line is equivalent to 180 degreesThe pair of angles are also supplementary to each other

From the information given, we have that;

The angles 80,690 and x are on a straight line, that is, the sum of the angles is 180

This is represented as;

60 + 80 + x = 180

collect like terms

x = 180 - 140

substract the like terms

x = 60 degrees

Hence, the value is 60 degrees

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75,15,3 find the 6th term

Answers

Answer:

0.024

Step-by-step explanation:

75, 15, 3, ...

Now, let's take a look at thus pattern.

You'll notice how the numbers decrease.

Divide 75 by 5.

We get 15

Divide 15 by 5.

We get 3.

Then we have the pattern now.

3 ÷ 5 = 0.6 (4th term)

0.6 ÷ 5 = 0.12 (5th term)

0 12 ÷ 5 = 0.024 (6th term)

I hope it helps.

A dangling modifier

defines a noun or verb somewhere in a sentence
does not clearly describe a word or phrase in a sentence
enhances a target word or phrase in a sentence
is a phrase loosely attached to the end of a sentence

Answers

Answer:

does not clearly describe a word or phrase in a sentence

Step-by-step explanation:

Not sure that this is math but...

Answer:

The answer is B

Step-by-step explanation:

B) does not clearly describe a word or phrase in a sentence

Please help me I beg you I will give you credit plz

Please help me I beg you I will give you credit plz

Answers

Find slope (y2-y1)/(x2-x1)
Pick any two points on line
(1,15) and (2,25)
(25-15)/(2-1) = 10/1, slope is 10 (rate of change)
Y = 10x + b
15 = 10 + b
The y intercept would be 5

A suitcase is a rectangular prism whose dimensions are 1 1/4 feet by 1 1/2 feet by 2 1/4 feet. Find the volume of the suitcase. Tell me the answer as a mixed number in simplest form.

Use the formula: V= lwh
Good luck!

Answers

Answer:

V = 4.22ft^3

Step-by-step explanation:

Length: 2.25ft

Width: 1.5ft

Height: 1.25ft

Length x Width x Height = V

2.25 x 1.5 x 1.25 = 4.22ft, since we're dealing with volume of a 3D space, the answer is 4.22ft^3!

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