square root of x plus 8 end root minus 6 equals x

Answers

Answer 1

Answer:

Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.

Step-by-step explanation:

The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.

[√(x + 8)]² = (x + 6)²

x + 8 = x² + 12x + 36

x² + 11x + 28 = 0

x² + 7x + 4x + 28 = 0

(x + 7)(x + 4) = 0

x = -7 and x = -4

The possible values of x are -7 and -4.

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Related Questions

The average daily high temperature in [tex] ^{\circ}C[/tex] in Karachi, Pakistan, on the [tex]t^{\text{th}}[/tex] day of the year is approximately

[tex]\qquad T(t) = 29 - 5\cos\left(\dfrac{2\pi (t- 12)}{365}\right)[/tex]

What are the highest and lowest average daily highs in Karachi? Give exact answers.

[tex]\rule{250pt}{2pt}[/tex]

Please explain it "thoroughly" in 'sentences' and with mathematical expression how exactly you'd figure out the answer. I know the answer. I need an elaborate explanation of the method. It's an imperative part of the question to explain your answer otherwise your answer would be considered incomplete

Giving 25 points, thanks (both in your answer and profile)!5 stars and of course brainliest!!!

Answers

Given expression

[tex]\\ \rm\Rrightarrow T(t)=29-5cos\left(\cfrac{2\pi (t-12)}{365}\right)[/tex]

Now

We know according to property of cosine function

It has range of [-1,1] for all intervals .

This property is enough for our calculations

Let's check

As t represents no of days hence it can't be negative

t must be a whole number set member

So

for positive interval

We shall use the cosine interval [0,π]

We know that

cosπ is -1cos0=1

Hence it's enough for our range [-1,1]

Now

In the expression

29 is the vertical shift

Let

[tex]\sf cos\left(\cfrac{2\pi(t-12)}{365}\right)=n[/tex]

Substitute n for lowest and highest value of range

When n=-1

[tex]\\ \rm\Rrightarrow T(\pi)=29-5(-1)=29+5=34°C[/tex]

When n=1

[tex]\\ \rm\Rrightarrow T(0)=29-5(1)=29-5=24°C[/tex]

Highest average daily high=34°Clowest average daily high=24°C

Answer:

Highest temperature: 34°C

Lowest temperature: 24°C

Explanation:

In a Normal Trigonometry Function: y = A + B sin(x) or y = A + B cos(x)

Maximum value: A + |B|

Minimum value: A - |B|

In this trigonometric function, A = 29, B = -5

Hence find minimum/maximum:

Maximum value: A + |B| = 29 + |-5| = 34

Minimum value: A - |B| = 29 - |-5| = 24

Hence, the maximum/highest temperature is 34°C and minimum/lowest temperature is 24°C in Karachi, Pakistan.

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This question is based on the box plot below: How is the data distributed?

Answers

The distribution is right skewed.

What is the data distribution?

A box plot is graph that is used to display data. The box plot is made up of two whiskers that are on either sides of a box. The first line on the box is the first quartile, the second line is the median and the third line is the third quartile.

When the median is closer to the bottom of the box, and if the whisker is shorter on the lower end of the box, the data is right skewed.

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Need help with this math question (pic included)

Answers

Answer:

8

Step-by-step explanation:

If the only zero for this function is at x = - 4 it looks like this:

f(x)  = (x+4)(x+4)        =    x^2 +8x + 16         so j = 8

Answer:

Step-by-step explanation:

x² +jx +k = 0

If there is only one root ( - 4 ), then (x + 4)² = 0

or

x² + 8x + 16 = 0

j = 8 and k = 16

Work out the surface area of this cylinder...
Give your answer in terms of л.

Answers

Answer:

Step-by-step explanation:

What is the answer? i need help so bad....

Answers

the answer is 18 option D

Answer:

18

Step-by-step explanation:

 (6 * 3 )  - (8 * 0)  = 18

Hi I need help
1) -15+4r=-9
2)5-y/3=-1
3)42=5x-8
That's all, you don't have to show work, but I'd appreciate it:) asap pls

Answers

Equation #1:

-15+4r=-9

We move all terms to the left:

-15+4r-(-9)=0

We add all the numbers together, and all the variables

4r-6=0

We move all terms containing r to the left, all other terms to the right

4r=6

r=6/4

r=1+1/2

Equation #2:

5-y/3=-1

We move all terms to the left:

5-y/3-(-1)=0

We add all the numbers together, and all the variables

-y/3+6=0

We multiply all the terms by the denominator

-y+6*3=0

We add all the numbers together, and all the variables

-1y+18=0

We move all terms containing y to the left, all other terms to the right

-y=-18

y=-18/-1

y=+18

Equation #3:

Simplifying

42 = 5x + -8

Reorder the terms:

42 = -8 + 5x

Solving

42 = -8 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

42 + -5x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0

42 + -5x = -8 + 0

42 + -5x = -8

Add '-42' to each side of the equation.

42 + -42 + -5x = -8 + -42

Combine like terms: 42 + -42 = 0

0 + -5x = -8 + -42

-5x = -8 + -42

Combine like terms: -8 + -42 = -50

-5x = -50

Divide each side by '-5'.

x = 10

Simplifying

x = 10

Step-by-step explanation:

hope it's beneficial.

Draw my attention for further explanations.✨✨

Which expression is not a polynomial?

x² - 2x
x³ +1
12x

Answers

Answer:

12x

Step-by-step explanation:

It has no exponent so it is not a polynomial

Solve the following system of equations. What is one x-value of a solution? f(x)=x^(2)+7x-24 g(x)=-3x-40

Answers

One x- value of the solution is : -2 or -8

What is an equation?

An Equation is an algebraic statement that shows that two quantities are equal.

Analysis:

for one x-value of a solution, f(x) = g(x)

[tex]x^{2}[/tex] + 7x -24 = -3x - 40

[tex]x^{2}[/tex] +7x +3x -24 +40 = 0

[tex]x^{2}[/tex] + 10x +16 = 0

[tex]x^{2}[/tex] +8x +2x +16 = 0

x(x+8) +2(x+8) = 0

(x+2)(x+8) = 0

x = -2 or -8

In conclusion, the values of x are -2 or -8

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6 less than a number is less than the quotient of the number and 3.

Answers

Answer:

x<9

Step-by-step explanation:

x-6<x/3

3(x-6)<x

3x-18<x

3x-x<18

2x<18

X<18/2

X<9

Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes. theta = pi / 5

Answers

The shape of the graph = rose

The domain = all real numbers

Range = [-2,2]

Maximum r-value = Symmetric about the x-axis

The graph is continuous = Yes

Is it bounded = Yes

Any asymptotes = No

This is further explained below.

What is a graph?

Generally, the graph is simply defined as a graph is a graphical representation of a relationship, usually between two variables, where each variable is shown along with one of two orthogonal axes.

In conclusion, there is no break in the graph, and it has finite limits.

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Dan went on a drive. He modeled the relationship between the distance he drives D (in kilometers) and the remaining fuel in his tank C (in liters) as C=40-0.1D. He wanted to graph the relationship for the entire distance of his drive, which was 100 kilometers. What mistakes did Dan make when drawing the graph?

Answers

Answer:

B

Step-by-step explanation:

the entire distance was 100 km, but the other 200 km on the x axis is unnecessary

Answer:

A

Step-by-step explanation:

khan acadamy

Progress
Solve for x. Round to the nearest tenth, if necessary

Answers

Answer:

x ≈ 1.1

Step-by-step explanation:

using the cosine ratio in the right triangle

cos41° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{0.8}{x}[/tex] ( multiply both sides by x )

x × cos41° = 0.8 ( divide both sides by cos41° )

x = [tex]\frac{0.8}{cos41}[/tex] ≈ 1.1 ( to the nearest tenth )

One forth of one third of two fifths of a number is 15. What is the number?

Answers

A fourth of a third of two fifths is a thirtieth.

(1 x 1 x 2) / (4 x 3 x 5) = 2 / 60 = 1 / 30

A thirtieth of a number () is fifteen, the number is four hundred and fifty.

= 15 / (1 / 30) = 15 x 30 = 450

forty percent of four hundred and fifty is one hundred and eighty.

(450 / 100) x 40 = 180

Answer:

The number is 450

Step-by-step explanation:

One fourth is 1/4,

One third is 1/3

and two fifths is 2/5

let the number be x.

So,

One fourth of one third of two fifths of x is 15.

that is,

1/4 * 1/3 * 2/5 * x = 15

2/4*3*5* x = 15

2/60 * x = 15

1/30 * x = 15

1 * x = 15*30

x = 450

Therefore the number is 450

Write an equation for a circle with center (-2, 8) and radius 9.

Answers

The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

Write an equation for a circle with a center (-2, 8) and a radius of 9.

Then the equation will be

(x + 2)² + (y − 8)² = 9²

(x + 2)² + (y − 8)² = 81

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Please help me with my math

Answers

[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve for x and z ~

[tex]\qquad \sf  \dashrightarrow \: z + 68 = 180[/tex]

[ they form co - exterior angle pair ]

[tex]\qquad \sf  \dashrightarrow \: z = 180 - 68[/tex]

[tex]\qquad \sf  \dashrightarrow \: z = 112 \degree[/tex]

now, it's time for x :

First angle z is equal to its vertical opposite angle, and then that angle forms co - interior angle pair with (3x - 28)

[tex]\qquad \sf  \dashrightarrow \: 3x - 28 + 112 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x + 84 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x = 180 - 84[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x = 96[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 96 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 32 \degree[/tex]

That's all... let me know if you have questions ~

An adult male cheetah runs at a speed of 26 mph. That is 30% faster than his average last month. How fast did the male cheetah run last month?
Sadie makes 1.5 liters of iced tea. She pours of a liter into a pitcher to take to her neighbor. Her sister drinks of the remaining iced tea. How much tea does Sadie’s sister drink?

Answers

Answer:

20 mph

Step-by-step explanation:

First problem:

The new speed is 26 mph.

The old speed was x.

The new speed is 30% higher than the old speed.

1.3x = 26

x = 20

Answer: 20 mph

Second problem:

A number, perhaps a percent or a fraction, is missing from the problem.

simplify √125+√45-√20​

Answers

Answer:

[tex]6\sqrt{25}[/tex]

Step-by-step explanation:

[tex]\sqrt{125} = 5\sqrt{5} \\\sqrt{45} = 3\sqrt{5} \\\sqrt{20} = 2\sqrt{5} \\5\sqrt{5} + 3\sqrt{5} -2\sqrt{5} =6\sqrt{25}[/tex]

Please help me i would really appreciate it, I really dont want to fail the assignment!!!

Answers

The ordered pair of the solution for the system of equation area are (2, -3) and (3, -3)

How to solve system of equation?

f(x) = x² - 5x + 3

f(x) = -3

Therefore,

-3  = x² - 5x + 3

x² - 5x + 3 + 3 = 0

x² - 5x + 6 = 0

x² - 2x - 3x + 6 = 0

x(x - 2) - 3(x - 2) = 0

(x - 3)(x - 2) = 0

x = 3 or 2

when x = 2

f(x) = 4 - 10 + 3 = -3

when x = 3

f(x) = 9 - 15 + 3 = -3

Therefore, the ordered pair of the solution for the system of equation are (2, -3) and (3, -3)

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Can someone help me?

Answers

Answer:

A. 7 and 3D. 1 and 5

Solve for x......
[tex]4x + 10 = 2x + 26[/tex]

Answers

Answer:

x=8

Step-by-step explanation:

4x+10 = 2x+26

4x-2x+10=2x-2x+26  [Subtract 2x from both sides]

2x+10=26

2x + 10 - 10 = 26 - 10  [Subtract 10 from both sides]

2x = 1

2x/2 = 16/2  [Divide both sides by 2]

x = 8

CHECK:

Does 4x+10 = 2x+26 when x is 8?

4(8)+10 = 2*(8)+26  ?

32+10 = 16+26    ?

42 = 42   YES

Answer:

[tex]\large \boxed{\sf x =8}[/tex]

Explanation:

[tex]\sf \rightarrow 4x + 10 = 2x + 26[/tex]

collect like terms

[tex]\sf \rightarrow 4x -2x = 26-10[/tex]

subtract like terms

[tex]\sf \rightarrow 2x = 16[/tex]

divide both sides by 2

[tex]\sf \rightarrow x = 8[/tex]

Question 3
What is the value of x in the regular polygon at the right?
H
Question 4
3x°
1 pts
1 pts

Answers

Answer:

X = 20°

given a regular polygon which means that it's all sides are equal and all angles are equal

one angel of a polygon is 3x

the sum of all the angles of a polygon = 360°

3x + 3x + 3x + 3x + 3x + 3x = 360°

18x = 360°

x = 20°

Geometry fence problem. Need help solving

Answers

Held KB eheknebdkebnwkkwbe

how can pascal's triangle be useful in finding probabilities? 30 point for thisss I need help

Answers

Answer: The coefficients of binomial expansions are calculated using Pascal's triangle.

PLEASE HELP ME I'LL MARK U AS BRAINLIEST IF U GIVE ME THE RIGHT ANSWERS + GOT QUESTION A RIGHT JUST NEED QUESTION B AND C'S ANSWER

Answers

answer for b

catch the 9:10 bus from Beasley.

answer for c

10:06

hope this might help u.

Answer:

Answer for B is 9:10 for Beasley and The answer for C is 10:06

Step-by-step explanation:

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. which equation represents this situation? 6x2 5x - 4 = 0 6x2 5x 4 = 0 62x 5 x = 4 6 x2 5x = 4

Answers

Answer:

The answer would be 6x^2 + 5x - 4 = 0

Calculate the difference in the proportion of males and the proportion of females that smoke. Give your answer to 2 decimal places

Answers

The difference in the proportion of males and the proportion of females that smoke is 0.08

Missing information

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

How to determine the proportion difference?

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 35% of people are likely to invest in portfolio A, 25% are likely to invest in B, and 40% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either.
This is a tree diagram that represents the probability of investors choosing the different financial products.

What is the probability of an investor choosing both stocks AND bonds from portfolio B?

Answers

The probability of an investor choosing both stocks AND bonds from portfolio B is 0.25 or 25%.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

A financial planner has three portfolios: A, B, and C.

Each portfolio has stocks and Bond

P(stock) = 0.5

P(bond) = 0.5

Customers are equally likely to choose stocks.

P(stock and bond from B) = P(stock, B) + P(bond, B)

= 0.25×0.5 + 0.25×0.5

= 0.25 or

= 25%

Thus, the probability of an investor choosing both stocks AND bonds from portfolio B is 0.25 or 25%.

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You went to an electronics store and would like to buy a TV priced at $1200. You only have $1000 to
spend and the store gives 15% discount on the TV. Can you buy the TV? Explain

Answers

Answer
No you can’t buy the TV because you don’t have enough money. You are missing $20.

Explanation
1,200 × 15 ÷ 100 = 180
1,200 - 180 = 1,020
1,020 - 1,000 = 20

7. Use the distributive property (and your wits!) to write each of the following expressions as a polynomial in standard form.
(u^7+u^3+1)(u-1)(u^5+u^4+u^3+u^2+u+1)

Answers

The simplification form of the provided polynomial is u¹³ + u⁹ -u⁷ + u⁶ - u³ - 1 after using the distributive property.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have an expression:

[tex]= \rm \left(u^7+u^3+1\right)\left(u-1\right)\left(u^5+u^4+u^3+u^2+u+1\right)[/tex]

After using the distributive property and simply it.

[tex]\rm =\left(u^8-u^7+u^4-u^3+u-1\right)\left(u^5+u^4+u^3+u^2+u+1\right)[/tex]

[tex]\rm =u^{13}+u^9-u^7+u^6-u^3-1[/tex]

Thus, the simplification form of the provided polynomial is u¹³ + u⁹ -u⁷ + u⁶ - u³ - 1 after using the distributive property.

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If h(x) = 5 + x and (x) =
XE
which expression is equivalent to (kh)(x)?

Answers

The value of composite function (koh)(x) is 1/(5+x) after plugging h(x)  = 5+x in the k(x) option (B) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is:

if h(x)=5+x and k(x)=1/x which expression is equivalent to (koh)(x)

Answer options are:

A).(5+x)/xB). 1/(5+x)C). 5+(1/x)D). 5+(5+x)

We have:

h(x) = 5 + x

k(x) = 1/x

To find the composite function:

(koh)(x):

= k(h(x))

= 1/(5+x)

Thus, the value of composite function (koh)(x) is 1/(5+x) after plugging h(x)  = 5+x in the k(x) option (B) is correct.

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