Can someone help me solve please
[tex]x + 2 \sqrt{x} - 3 = 0[/tex]

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

Given

x + 2[tex]\sqrt{x}[/tex] - 3 = 0 ( subtract x - 3 from both sides )

2[tex]\sqrt{x}[/tex] = 3 - x ( square both sides )

4x = (3 - x)² ← expand using FOIL

4x = 9 - 6x + x² ( subtract 4x from both sides )

0 = x² - 10x + 9 ← in standard form

0 = (x - 1)(x - 9) ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 9 = 0 ⇒ x = 9

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are solutions.

x = 1 : 1 + 2[tex]\sqrt{1}[/tex] - 3 = 1 + 2 - 3 = 0 → x = 1 is a solution

x = 9 : 9 + 2[tex]\sqrt{9}[/tex] - 3 = 9 + 6 - 3 = 12 ≠ 0

x = 9 is an extraneous solution while x = 1 is a solution


Related Questions

URGENT, WILL GIVE BRAINLIEST IF CORRECT.
8 and 13
11.5 and 23.6
22 and 15

Answers

Answer:

5 < x < 21

Step-by-step explanation:

I did this bfore.

A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The expression below represents the area of the floor of the building in square meters: (3x + 5)(5x − 1) Which of the following simplified expressions represents the area of the floor of the library building in square meters? (5 points)

Answers

Answer:

(16x + 8)m²

Step-by-step explanation:

area of a rectangle = 2length + 2width

=2(3x + 5) + 2(5x-1)

=6x + 10 + 10x - 2

=(16x + 8)m²

Which property is illustrated by the equation 3 (m n) = (3 m) n?

Answers

Answer:

The property illustrated by the equation 3(mn) = (3m)n is associative property of multiplication. This answer has been confirmed as correct and helpful.

Answer:

associative

Step-by-step explanation:

helphelphelphelphelphelphelp

Answers

Answer:

P = 1,-10

Q=1,-1

R=7,-1

S=7,-10

a=3x + 2y/3x - 2y. If y =4, x=6 find the value of a.​

Answers

Answer:

a = [tex]\frac{13}{5}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{3x+2y}{3x-2y}[/tex]  , substitute y = 4 , x = 6

a = [tex]\frac{3(6)+2(4)}{3(6)-2(4)}[/tex] = [tex]\frac{18+8}{18-8}[/tex] = [tex]\frac{26}{10}[/tex] = [tex]\frac{13}{5}[/tex]

multiple choice
a. 12 pie cm
b. 21 pie cm
c. 35 pie cm

Answers

Answer:

The correct option is;

a. 12 pie cm

Step-by-step explanation:

Cavalieri's principle states that if the cross-sectional area of two or more figures of the same altitude are the same at each level of the figures, then the volumes of the figures are also the same;

Given that the base area of the square based prism and the cylinder are the same, and that the square based prism and the cylinder have equal height of 4 cm, then by Cavalieri's principle, their volumes are the same

The volume of the square based prism = 452 cm³

Therefore, the volume of the cylinder (of equal base area) = 452 cm³

The formula for the volume of square based prism = Area of base × Height

∴ The volume of square based prism, 452 cm³ = Area of base × 4 cm

Which gives;

Area of the base of the square based prism  = 452/4 = 113 cm²

The area of the base of the cylinder [tex]A_c[/tex]  = The area of the base of the square based prism = 113 cm²

The area of the base of the cylinder,[tex]A_c[/tex]  is given by the following equation;

[tex]A_c[/tex] = π×r² = 113 cm²

r = √(113/π) = √35.97 ≈ √36  = 6 cm

The circumference of the base of the cylinder,[tex]C_c[/tex]  is given by the following equation

[tex]C_c[/tex] = 2×π×r ≈ 2×π×6 = 12×π cm

The correct option is 12 pie cm.

I need help i tried to do this but can't get it.

Answers

Answer: x=5, y=-1

Hope this helps

I need help with this question. PLZZ HELP!!!

Answers

Answer: The solution of these inequalities are similar because they begin at two, however they are different because in the first inequality two cannot be an answer hence the open circle ⭕️, but the second inequality can have two as a solution hence the closed circle.

Step-by-step explanation:

1. Which is an example of an algebraic expression? (2 point) A.4(3+8) B.18² C.3-a D.21×4​

Answers

Answer:

C

Step-by-step explanation:

The answer is C cz it contains the letter a

Use the diagram below to answer the questions. Line q contains points J, K, and M. Point P is above line q between points K and M. A line connects points M and P. Another line connects points P and K. Point L is above point J. A line starts at point K and extends through point L. Which are shown on the diagram? Check all that apply. Line segment J L Ray K M Line J K Ray P K AngleLJK Ray M J

Answers

Answer:

2nd 3rd last one

Step-by-step explanation:

Angles, lines, rays, and segments can be found in a plane. The terms shown on the diagram are: Ray KM, Line JK, and Ray MJ

What are lines, rays, and segments?

A line is an unending, straight path that has no endpoints and travels in both directions along a plane. A line segment is a finitely long portion of a line with two endpoints. A line segment that goes on forever in one direction is known as a ray.

To identify the terms shown on the diagram, we need to note the following: A ray has no endpoint; it is represented with an arrow on one side line segment has two endpoints.

It is represented with dots on both sides. An angle is a space between intersecting lines, line segments, or rays. There is no connection between J and L. So, JL is not a line segment

Ray KM

KM has a dot at point K and an arrow that points in the direction of M. So, KM is a ray.

Line JK

JK has dots on both ends (at J and K). So, JK is a line.

Ray PK

PK has dots on both sides (at P and K). So, PK is a line; not a ray.

Angle LJK

There is no connection between points L, J, and K. Hence, LJK is not an angle.

Ray MJ

MJ has a dot at point M and an arrow that points in the direction of J. So, MJ is a ray.

The diagram is attached with the answer below.

Read more about lines, points, and rays at:

brainly.com/question/13486760

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Given that A is directly proportional to B and that A = 5/3 when B = 5/6, find A when B=1/3 and B when A =15/2.

Answers

Step-by-step explanation:

A is directly proportional to B is written as

A = kB

where k is the constant of proportionality

First we must find the relationship between the two variables

when

A = 5/3

B = 5/6

Substitute the values into the formula to find k

[tex] \frac{5}{3} = k \frac{5}{6} [/tex]

Multiply through by the LCM which is 6

That's

[tex]5 \times 2 = 5k[/tex]

5k = 10

Divide both sides by 5

k = 2

So the formula for the variation is

A = 2B

when B = 1/3

[tex]A = 2 \times \frac{1}{3} [/tex]

[tex]A = \frac{2}{3} [/tex]

When A = 15/2

[tex] \frac{15}{2} = 2B[/tex]

Multiply through by 2

[tex]4B = 15[/tex]

Divide both sides by 4

[tex]B = \frac{15}{4} [/tex]

Hope this helps you

draw a figure for the triangle with ab

Answers

Step-by-step explanation:

figure for the triangle with ab

55÷11[120÷2{4+(10+5-7)}]​

Answers

Answer:

3600

Step-by-step explanation:

First, solve the innermost brackets first.

=> 55/11 [120 /2{4 + (10 + 5 - 7)}]

=> 55/11 [120 /2{4 + (8)}]

=> 55/11 [120 /2{4+8}]

=> 55/11 [120 /2{12}]

=> 55/11[ 60 x 12]

=> 55/11 [720]

=> 5 [720]

=> 3600

3600

Hope it helps ❄️

PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

140°

Step-by-step explanation:

[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\

\therefore m\widehat{BG} = 360\degree - 300\degree \\

\therefore m\widehat{BG} = 60\degree \\

\because m\widehat{BGD} = m\widehat{BG}

+m\widehat{GD}\\

\therefore m\widehat{BGD} = 80\degree+60\degree\\

\therefore m\widehat{BGD} = 140\degree\\

\because m\angle BAD = m\widehat{BGD} \\

\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]

Jack picks 3 liters of berries in 8 minutes. Jill picks 4 liters of berries in 10 minutes. Working together, how many berries can they pick in 1 minute?

Answers

Answer:

they can pick 27 berry's

Step-by-step explanation:

I think-

They can pick 1.29 liters of berries in 1 minute working together.

--------------------------------------------

The together rate is the sum of each separate rate. In this question:

We want to find the together rate.Jack's rate is [tex]\frac{3}{8}[/tex]Jill's rate is [tex]\frac{4}{10}[/tex]

--------------------------------------------

Together, they can pick x liters, and the rate is: [tex]\frac{1}{x}[/tex]

Then

[tex]\frac{1}{x} = \frac{3}{8} + \frac{4}{10}[/tex]

[tex]\frac{1}{x} = \frac{15 + 16}{40}[/tex]

[tex]\frac{1}{x} = \frac{31}{40}[/tex]

Applying cross multiplication:

[tex]31x = 40[/tex]

[tex]x = \frac{40}{31}[/tex]

[tex]x = 1.29[/tex]

They can pick 1.29 liters of berries in 1 minute working together.

A similar question is given at https://brainly.com/question/23323624

plllllzzzzzzzz hellllllllpppp again...lol

Answers

Answer:

34

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

71 = z+37

Subtract 37 from each side

71 -37 =z

34 =z

Step-by-step explanation:

[tex]thank \: you[/tex]

PLEASE help me solve this question! No nonsense answers please!

Answers

Answer:

$6,291.70

Step-by-step explanation:

You're given the equation and you're given an x-value; 75,834. Just plug it in to get m = 2500 + 0.05(75,834) = 2500 + 3791.70 = 6,291.70.

Answer:

$6,291.70

Step 1:

To find the monthly salary for somebody who sells $75,834 in cars, we need to first multiply that by 0.05, or 5%, since 0.05 has to get multiplied by s (sales) in the equation they provide us. We don't do anything with $2,500 (yet).

[tex]75,834*0.05=3791.70[/tex]

One of the options for our answer shows 3,791.7, but we are not finished with solving this problem, so 3,791.7 is not our answer.

Step 2:

After completing step 1, Superb Auto already provides new salespeople with $2,500. This means that whatever they sell (or don't sell), they would still get that $2,500. In step 1, we found out that our first number that replaces 0.05s is 3791.7, so we just have to add that to 2,500 to get our final answer.

[tex]3791.7+2500=6291.7[/tex]

Our final answer is $6,291.70, and that is the third option on our list of choices.

solve 7 + x - 15=-2 2/3

Answers

Answer:

16/3 or 5 1/3

Step-by-step explanation:

7 + x - 15 = -2 2/3

x - 8 = -2 2/3

x = 16/3

Answer:

Let's solve your equation step-by-step.7+x−15=223

Step 1: Simplify both sides of the equation.

x−8=8/3

Step 2: Add 8 to both sides

.x−8+8=8/3+8x=32/3

Answer:x=10 2/3

i just answered this question on an algebra quiz and it was multiple choice, i hope this helps!

Bob says that he can find the area of the triangle below using the formula: A = [tex]\frac{1}{2}[/tex] * 8 *18 * sin (120°). Is he correct? Explain why or why not.

Answers

Answer:

No.

Step-by-step explanation:

No, Bob is not correct.

The formula he's using is the following:

[tex]A=\frac{1}{2} ab\sin(C)[/tex]

The important thing here is that the angle is between the two sides.

In the given triangle, 120 is not between 8 and 18. Therefore, using this formula will not be valid.

Either Bob needs to find the other side first or find the angle between 8 and 18.

A basketball is shot into the air. Its height is represented by the polynomial equation h(t) = –16t2 + 35t + 5, where h is the height of the basketball at t seconds. What's the height of the basketball at 1.5 seconds?
Question 4 options:

20.2 feet


18.8 feet


21.5 feet


16.7 feet

Answers

Answer:

height = 21.5 ft

Step-by-step explanation:

Substitute t = 1.5 into h(t) and evaluate

h(1.5) = - 16(1.5)² + 35(1.5) + 5

        = - 16(2.25) + 52.5 + 5

       = - 36 + 57.5

      = 21.5 ft

Answer:

21.5 feet.

Step-by-step explanation:

Let t = 1.5

[tex]h(1.5)=-16(1.5)^2+35(1.5)+5\\h(1.5)=-36+52.5+5\\h(1.5)=21.5[/tex]

Therefore, at 1.5 seconds, the basketball is 21.5 feet in the air.

A coin is tossed 7 times. What is the probability that the number of heads obtained will be between 2 and 7 inclusive? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

0.9375

Step-by-step explanation:

Given the following :

Number of coin tosses = 7

Probability that number of heads obtained will be between 2 and 7 inclusive?

x = 2,3,4,5,6,7

Probability (P) = number of required outcomes / total possible outcomes

For a coin toss = 1 Head (H), 1 tail (T)

P(H) = 1 / 2

P(X) = C(7,x) * (1/2)^7

P(X) = C(7, x) / 0.5^-7

P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128

P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128

P(X) = 120 / 128

P(X) = 0.9375

By increasing the list price of a book by ₹10 a person can buy a 10 books less for ₹1200 Find the original list price of the book. ( form Quadratic equation for the question) ​

Answers

Answer:

cwbmwl2h2h2jl2bcek2k3cgwkel

whats a square + b square I don't know thats why I am asking u dude

Answers

Answer:

.............................

after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount ans80

Answers

Answer:

The discount was rs 80.

Step-by-step explanation:

The item started at an original undiscounted price of x.

Then a 5% discount was applied. The price is now 0.95x.

Then a 10% VAT was applied. The price is now 1.1(0.95x).

The price is now rs 1672.

1.1(0.95x) = 1672

Divide both sides by 1.1 and by 0.95.

x = 1600

The original price was rs 1600.

5% of rs 1600 = 0.05 * rs 1600 = rs 80

The discount was rs 80.

NEED HELP ASAP solve for x : 3/5 = x-1/8
a.5 b.29/5 c.23/5 d.19/5

Answers

Answer:

[tex] \boxed{ \sf{ \bold{ \huge{ \boxed{ \frac{29}{5} }}}}}[/tex]

Option B is the correct option.

Step-by-step explanation:

[tex] \sf{ \frac{3}{5} = \frac{x - 1}{8} }[/tex]

Apply cross product property

⇒[tex] \sf{ 5(x - 1) = 3 \times 8}[/tex]

Distribute 5 through the parentheses

⇒[tex] \sf{5x - 5 = 3 \times 8}[/tex]

Multiply the numbers

⇒[tex] \sf{5x - 5 = 24}[/tex]

Move 5 to right hand side and change it's sign

⇒[tex] \sf{5x = 24 + 5}[/tex]

Add the numbers

⇒[tex] \sf{5x = 29}[/tex]

Divide both sides of the equation by 5

⇒[tex] \sf{ \frac{5x}{5} = \frac{29}{5} }[/tex]

⇒[tex] \sf{x = \frac{29}{5} }[/tex]

Hope I helped!

Best regards!!

16x^2 - 49 when factored is ?

Answers

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

This is called the Difference of Two Squares (DOTS).

These are the conditions that must be met for DOTS to work:

•There must be 2 terms.

•They must be separated by a negative sign.

•Each term must be a perfect square.

First, you have to find 2 square numbers that times together to make 16.

4×4=16

As we want 16x², you just need to make the 4 become 4x:

4x times 4x equals 16x²

Then, find 2 squares that times together to make 49.

7×7=49

You can put the two squares into a bracket with the x variable first, then the number:

(4x-7)(4x+7)

In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.

You can double check your answer by expanding it back out again using FOIL:

F-First

O-Outer

I-Inner

L-Last

Times the First two in the two brackets:

4x times 4x equals 16x²

Times the Outer two:

4x times 7 equals 28x

Times the Inner two:

-7 times 4x equals -28x

Times the Last two:

-7 times 7 equals -49

Form an equation:

16x²+28x-28x-49

The 28x cancel out to leave:

16x²-49

Hope this helps :)

Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comma, minus, 7, comma, minus, 3, comma, point, point, point.

Answers

Answer:

c(1) = -15

c(n) = c(n - 1) + 4

Step-by-step explanation:

Given arithmetic sequence is,

-15, -11, -7, -3...........

Common difference between each successive and previous term is,

d = -11 - (-15)

  = -11 + 15

  = 4

Since recursive formula of the arithmetic sequence is represented by,

a₁ = First term of the sequence

a(n) = a(n - 1) + d

where a(n) is the nth term and a(n-1) is the previous term of the nth term.

Form the given sequence,

c₁ = -15

c(n) = c(n - 1) + 4

Examine the graph. What is the domain and range of the function represented by the graph? Select two answers: one for the domain and one for the range.

domain: (−∞,∞)
range: [−9,∞)
domain: (−2,4)
range: (−∞,∞)
range: (−2,4)
domain: [−9,∞)

Answers

Answers:

domain: (−∞,∞)

range: [−9,∞)

=========================================

Explanation:

The graph extends forever to the left and right. This means any x value can be plugged into the function to get some y value output. The domain is the set of all real numbers in which we write (−∞,∞)  when using interval notation. This is the interval from negative infinity to positive infinity. We exclude both endpoints as we cannot reach infinity.

The smallest y value possible is y = -9 as shown by the vertex point (1, -9) being the lowest point on the parabola. The range is the set of y values such that [tex]y \ge -9[/tex] so we say [−9,∞) in interval notation. This is the interval from -9 to infinity. The square bracket says to include -9 as part of the interval.

Answer: It is A, I did this question many times before.

(−∞,∞)

Step-by-step explanation:

Gavin is selling water bottles at a baseball game to help raise money for new uniforms.
Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of
the bottles for $1.25 each. How much profit does Gavin make?

Answers

The profit made by Gavin at the end of the game is $0.87 per bottle.

How to calculate profit?

The profit can be calculated by taking the difference of selling price and the cost price.

Given that,

The number of bottles bought for $18.50 is 48 and sold for $1.25 each.

Then, the cost for one bottle is 18.50/48 = $0.38.

As per the question the profit made can be calculated as the difference of selling price and cost price as,

Profit = Selling price - Cost Price

         =  1.25 - 0.38

         = $0.87

Hence, the profit earned by Gavin is given as $0.87 for each bottle.

To know more about profit click on,

https://brainly.com/question/7544724

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GIVE ME A REAL ANSWER PLEASE! IT IS DUE NOW! Factor completely 3x^2 + 5x + 1.
(3x + 1)(x + 1)
(3x + 5)(x + 1)
(3x − 5)(x + 1)
Prime

Answers

Answer:

prime

Step-by-step explanation:

3x^2 + 5x + 1

it can't be factorizes with rational numbers

Answer:

Prime

Step-by-step explanation:

3x^2 + 5x + 1

3x^2  factors in to 3x and x

1 factors into 1 and 1

( 3x   + 1) ( x+1)

We need to verify the middle is 5

3x+1x = 4x

so this is not true

We cannot factor this so it is prime

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