Can yall help me with this math

Answer:

C

Step-by-step explanation:

\(x=2+\sqrt{x-2} \\\\x-2=\sqrt{x-2} \\\\(x-2)^2=\pm(x-2) \\\\x^2-4x+4=\pm(x-2) \\\\\)

\(x^2-5x+6=0\) OR \(x^2+3x+2=0\)

x=2 and 3

Hope this helps!

Answer:

The answer is option 3.

Step-by-step explanation:

Firstly, we have to move the unrelated term to the other side :

\(x = 2 + \sqrt{x - 2} \)

\(x - 2 = \sqrt{x - 2} \)

Then, you have to get rid of square root by squaring both sides :

\( {(x - 2)}^{2} = {( \sqrt{x - 2} )}^{2} \)

\( {x}^{2} - 4x + 2 = x - 2\)

\( {x}^{2} - 4x + 4 - x + 2 = 0\)

\( {x}^{2} - 5x + 6 = 0\)

Next, you have to solve it :

\( {x}^{2} - 5x + 6 = 0\)

\( {x}^{2} - 2x - 3x + 6 = 0\)

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

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

\(x - 2 = 0 \\ x = 2\)

\(x - 3 = 0 \\ x = 3\)

Answer:

5x+5=10

5x=10-5

5x=5

x=5/5

x=1

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve for x ~

therefore, value of x = 1 ~

Answer:

C. (0,0) is the x- and y-intercept of the function.

Step-by-step explanation:

It is because the function is passing through the origin.

Answer:

17

Step-by-step explanation:

Answer:17

Step-by-step explanation:

24-7=17

Answer:

it seems as it is adding .15 every time so the next 3 would be .05 .20 and .65

Answer:

The opposite of 1/2 is -2/1, which can also be written as -2.

A rectangle's length is 4 feet more than its width. Write a quadratic function that expresses the rectangle's area in terms of its width

Remember that

The area of a rectangle is

A=L*W

we have

L=W+4

substitute in the expression of the area

A(w)=(w+4)*w

A(w)=w^2+4w

Check the picture below.

\((x+18)(18)=(24+16)(16)\implies 18x+324=640 \\\\\\ 18x=316\implies x=\cfrac{316}{18}\implies x=\cfrac{158}{9}\implies x=17\frac{5}{9}\)

Step-by-step explanation: this one is for zack!!!!!!!!!

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Answer: 5/33

Explanation:

5/12 x 4/11 =5/33

I hope this helped!

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- Zack Slocum

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The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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Answer:

3x+2=26

3x=24

x=8

Step-by-step explanation:

Answer:

The answer is 8.

Step-by-step explanation:

you need to undo.

to get the 2 out of the bottom you need to multiply both sides of the equation by 2.

now you have  3x+2= 13(2)

3x+2=26.

Now you need to subtract 2 from both sides to get rid of the 2.

Now you have 3x=26-2

3x=24.

The final step in solving for x is to divide both sides by 3.

Now you have x=24/3

which give you your final answer of x=8

Hope this helps!

Answer:

234

Step-by-step explanation:

From the given information :

The 4th term, a4

a1 = 3

a2 = 4(a1) + 2

a2 = 4(3) + 2 = 14

a3 = 4(a2) + 2

a3 = 4(14) + 2

a3 = 58

a4 = 4a3 + 2

a4 = 4(58) + 2

a4 = 232 + 2

a4 = 234

The additional acres that the parks occupy will be 33.75 acres.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, the additional acres that the parks occupy will be:

= (12.5 × 3) - 3.75

= 33.75 acres.

Note that the information is incomplete and the complete information is given below.

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A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres

The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?

The value of 3u - (2v-w) is  -6i + 25j.

We have,

u = -2i+9j, v = 2i- j, and w= -4i.

Now, 3u - (2v - w)

= 3(-2i + 9j) - [ 2(2i - j) - (-4i)]

= -6i + 27j - [4i - 2j + 4i]

= -6i + 27j - 4i - 2j + 4i

= -6i + 25j

Thus, the value of 3u - (2v-w) is  -6i + 25j.

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Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

Sevati has 18 magazines in her collection. Sevati's collection of periodicals is represented by the phrase x - 7 = 25.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.  Let's examine the writing of expressions. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.

given

If x is the alita collection,

then sevati is equal to x - 14 + x = 50.

Sevati's collection of magazines is represented by the formula 2x - 14 = 50, hence the alita collection is equal to 2x = 36

x = 18

Sevati has 18 magazines in her collection. Sevati's collection of periodicals is represented by the phrase x - 7 = 25.

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Step-by-step explanation:

The coordinates and vertices

which reflected over the y- axis are

r(-2,0) , s(2,-3) , and t(2,3).

Answer:

The answer is 16% I just took the test

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

426 429 418 417 422 435 420 410 432 435 423 426 409 437 436 429 411 426 411 438 422 428 413 414

A) Point estimate of the mean(m) : (ΣX) /n

Sample size(n) = 24

(426+429+418+417+422+435+420+410+432+435+423+426+409+437+436+429+411+426+411+438+422+428+413+414) / 24

= 10167 / 24

= 423.625 (3 decimal places)

b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers in the population

s = √[Σ(X - m)² / (n - 1)]

Using calculator :

s = 9.277

s = 9.28 ( 2 decimal places)

C.)

Standard Error of point estimate :

SE = s/√n

SE = 9.28 / √24

SE = 1.8942720

(d) Calculate a point estimate of the median oxide thickness for all wafers in the population.

Median = 0.5 (n +1)th term

0.5(25) = 12.5th term ;

(12th + 13 th term)/2

(423 + 426) / 2

= 849/2

= 424.5

(e) Calculate a point estimate of the proportion of wafers in the population that have oxide thickness greater than 430 angstrom

Number of oxide thickness greater than 430 = 6

(number greater than 430 / total number of oxides)

= 6 / 24

= 1/4

= 0.25

The probability that both people picked at random own a dog is 0.0225.

Random selection is a process of choosing items or individuals from a larger population in a way that ensures that each item or individual has an equal chance of being chosen. It is a common method used in research studies to select a representative sample from a larger population. The goal of random selection is to obtain a sample that is representative of the larger population, so that any conclusions drawn from the sample can be generalized to the population as a whole. In random selection, every member of the population has an equal chance of being selected, and the selection process is not influenced by any biases or preferences.

To calculate the probability that both people own a dog, we need to multiply the probability that the first person owns a dog by the probability that the second person owns a dog. Given that the first person own a dog.

The probability that the first person owns a dog is 0.15 or 15%. Then, the probability that the second person also owns a dog, given that the first person does, is 0.15 as well.

So, the probability that both the people owning a dog is:

0.15 x 0.15 = 0.0225 or 2.25%

Therefore, the probability that both people picked at random own a dog is 0.0225 or 2.25% (rounded to 3 decimal places).

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Answer:

The fraction would be -0.75/0.4 = -1.875

Above the blank is written Quotient, which is a quantity produced by the division of two numbers, so the quotient is -1.875

Step-by-step explanation:

I divided -0.75 by 0.4 which gave me the result -1.875

Above the blank is written Quotient, which is a quantity produced by the division of two numbers, so the quotient is -1.875

I hope I helped you, let me know later if the answer I gave you was right :)

Answer:  -1.875

Step-by-step explanation: -0.75/0.4

 for me change to fraction -75/100*4/10

=-15/8------>  -1.875

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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The solution of the equation for t is t = i/pr

The equation is given as

i = prt

Divide both sides of the equation by p

So, we have the following equation

i/p = prt/p

Divide both sides of the equation by r

So, we have the following equation

i/pr = prt/pr

Evaluate the quotients

i/pr = t

Rewrite as

t = i/pr

By the above computation, we changed the subject of the formula in i = prt from i to t.

This implies that solving for t is a concept of subject of formula

Hence, the solution is t = i/pr

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Answer:

The sum of two mixed numbers is not always a mixed number.

A mixed number is a number that is made up of a whole number and a fraction.

.

Clearer image, please!

The linear equation we need to solve is:

$27.50*w = $309.99 - $144.99

And the solution is w = 6.

How to write and solve the equation?

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:

f(w) = $144.99 + $27.50*w

So the linear equation we need to solve is:

$144.99 + $27.50*w = $309.99

To solve this we need to isolate w.

$144.99 + $27.50*w = $309.99

$27.50*w = $309.99 - $144.99

w = ($309.99 - $144.99)/$27.50 = 6

So they can buy the chair after 6 weeks.

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The exponential model for the data is: \(y = 693(1.5)^x\)

When the cost is of $6000, the weight is of approximately 5.3 carats.

An exponential function is modeled by:

\(y = ab^x\)

In which:

From the table, the rate of change is given by:

b = 4980/3210 = 3210/2140 = 2140/1430 = 1.5.

When x = 1, y = 1040, hence the initial value is found as follows:

1.5a = 1040.

a = 1040/1.5

a = 693.

So the model is:

\(y = 693(1.5)^x\)

When the cost is of $6000, the weight is found as follows:

\(693(1.5)^x = 6000\)

\((1.5)^x = \frac{6000}{693}\)

\(1.5^x = 8.658\)

\(\log{1.5^x} = \log{8.658}\)

x log(1.5) = log(8.658)

x = log(8.658)/log(1.5)

x = 5.3

When the cost is of $6000, the weight is of approximately 5.3 carats.

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Answer:

$153.00

Step-by-step explanation:

A = $1,353.00

(I = A - P = $153.00)

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year.

Solving our equation:

A = 1200(1 + (0.0425 × 3)) = 1353

A = $1,353.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,200.00 at a rate of 4.25% per year for 3 years is $1,353.00.

Answer:

$153

Step-by-step explanation:

Simple Intrest = P ( money invested ) * R ( percentage ) * T ( year )

I = P * R * T / 100

I = 1200 * 4.25 * 3 = 15300 / 100 = $153

This is the easiest method for me and I hope it helps :)

The value of x is 24 and different angles of hexagon will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.

We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).

Given the figure is hexagon,

the sum of angles of a hexagon is 720,

Upon adding the given angles,

mA = (7x-8)°

mB (4x+46)°

mC = (5x)

mD = (6x+12)°

mE = (x+7)°

mF = (5x-9)°

⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720

⇒ 28x + 48 = 720

⇒ 28x = 672

⇒ x = 24

Therefore, the angles will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

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