Pls, look at picture for the question.

On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.

BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.

\(f/3 +22 = 17\)

\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The \(+22 and -22= 0\) They "cancel"   \(17-22 = -5\)

\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.

If we have to solve  f, the next step we to take is to multiply on the both sides by  3.

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Answer:

x = 72°

Step-by-step explanation:

The angle is a right angle meaning it is equal to 90°. You can tell it is a right angle because of the small square in the corner of the angle.

Because both angles are equal to 90° you can simply do the equation \(90-18=x\)
which leaves you with the answer x = 72

90-18 =72

Remember that a square angle measures 90°..then sybstract what you know

a. C = 5.00 + 0.75t

b. It will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we can use the following equation:

C = 5.00 + 0.75t

In this equation, the constant term 5.00 represents the flat fee for parking, and the term 0.75t represents the additional cost per hour based on the number of hours (t) the car is parked. By adding the flat fee to the hourly cost, we get the total parking cost for t hours.

(b) To find out how much it will cost Elaine to park her car for a full 24 hours, we can substitute t = 24 into the equation:

C = 5.00 + 0.75 * 24

Calculating this expression, we get:

C = 5.00 + 18.00

C = 23.00

Therefore, it will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

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Answer:

8

Step-by-step explanation:

We have to remember that in one-to-one functions each element of the domain maps to a different element in the range.

When we have a bijection we have that each element in the set A, for example, corresponds to exactly one element of B, and vice versa.

When we have a bijection, we also have an inverse function.

Then, we have that:

To find the inverse, we have to interchange the variables:

Now, we have:

And we need to solve for y:

1. Add 13 to both sides of the equation:

2. Divide both sides by -2:

Then, we have that:

We can check this if we make a composition between the two functions (then we will get x as a result).

Then, we have that the result for this composition is equal to x. Thus:

We also have that:

We have that h(4) = 3, then h^(-1)(3) = 4 or

In summary, we have:

Answer:

x=1.13

Step-by-step explanation:

isolate the variable and the numbers and solve.

Using scientific notation, the measure is given as follows:

\(1.9 \times 10^{-10}\)

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

The diameter of a proton, in scientific notation, is given by:

\(1.9 \times 10^{-15}\).

The hydrogen atom has an overall length of 100,000 = 10^5 times the diameter of the proton, hence the length is given by:

\(L = 100000 \times 1.9 \times 10^{-15} = 10^5 \times 1.9 \times 10^{-15} = 1.9 \times 10^{5 - 15} = 1.9 \times 10^{-10}\)

For the above length, I applied the multiplication of factors with the same base and different exponents, where we keep the base and add the exponents.

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Answer:

x = 60

Step-by-step explanation:

Answer:

x = 60°

Step-by-step explanation:

we know that triangles have 180 degrees so we can set up an equation:

86 + 34 + x = 180

now we subtract the sum of 86 and 34 from both sides to get a final answer:

x = 60

so lets plug our x value into the previous equation to check our answer:

86 + 34 + 60 = 180

when we add these numbers together, the equation checks out so we know our answer is correct.

hope this helps!

Answer:

16x²=1

x²=1/16

x=√(1/16)

x=+- (1/4)

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

the inequality sign changes when dividing by a negative number

Answer:

x < -7

Step-by-step explanation:

-6x > 42

First you want to divide off -6 to isolate x

\(\frac{-6x}{-6}\) = \(\frac{42}{-6}\)

keeping in mind what you do to one side of the equation you have to do to the other side.

Whenever you divide with a negative number the inequality sign flips from < to > and vice versa.

after you divide off the -6 your left with x < \(\frac{42}{-6}\) which equals -7.

Hope this helps.

Answer:              3 (x-1)

                           ______

                                x

Step-by-step explanation:

so thats 3(x-1) over x

have a good day! :)

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Answer:

3

Step-by-step explanation:

F(x)=-3(x-1) find f(0)

F(0) = -3(0-1)

F(0) = -3(-1)

F(0)= 3

To find the location of T″ after translating and rotating the rectangle, let's follow the given steps:

1. Translation: The translation rule (x, y) → (x − 2, y − 4) moves each point of the rectangle 2 units to the left and 4 units downwards.

After translation:

S' (-7 - 2, 6 - 4) = (-9, 2)

T' (-2 - 2, 6 - 4) = (-4, 2)

U' (-2 - 2, 1 - 4) = (-4, -3)

V' (-7 - 2, 1 - 4) = (-9, -3)

2. Rotation: The rotation of 90° counterclockwise swaps the x and y coordinates while changing the sign of the new x-coordinate.

After rotation:

S" (2, -9)

T" (2, -4)

U" (-3, -4)

V" (-3, -9)

Therefore, the location of T″ after the translation and rotation is at coordinates (2, -4).

To find the location of T″, we need to apply the given translation and rotation transformations to the original rectangle STUV.

To find the location of T′′, we need to follow the given transformations.

Let's apply these transformations step by step:

Translation:

S (-7, 6) → (-7 - 2, 6 - 4) = (-9, 2)

T (-2, 6) → (-2 - 2, 6 - 4) = (-4, 2)

U (-2, 1) → (-2 - 2, 1 - 4) = (-4, -3)

V (-7, 1) → (-7 - 2, 1 - 4) = (-9, -3)

Rotation:

S′ (-9, 2) → (2, -9)

T′′ (-4, 2) → (-2, -4)

U′ (-4, -3) → (3, -4)

V′ (-9, -3) → (-3, -9)

Therefore, the location of T′′ is (-2, -4).

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Answer:

Step-by-step explanation:

The value of x in the triangle is 16.

The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

Due to the similarity between the triangles ABC and ADE, we may establish the following ratio:

BC/DE = AB/AD

Inputting the values provided yields:

8/x = 12/24

When the right-hand side of the equation is simplified, we obtain:

12/24 = 1/2

Adding this value to the proportion results in:

8/x = 1/2

If we cross-multiply, we obtain:

2*8 = x

The left side of the equation can be simplified to: 16 = x.

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Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

Explanation:

Let's find the roots aka x intercepts.

Plug in y = 0 and solve for x.

y=(x+3)(x-7)

(x+3)(x-7) = 0

x+3 = 0 or x-7 = 0

x = -3 or x = 7 are the two roots.

Now find the midpoint of those roots.

Add them up and divide in half.

(-3+7)/2 = 4/2 = 2

The midpoint happens at x = 2, which is the x coordinate of the vertex. This is the axis of symmetry where the vertex is located.

The vertex in this case is the lowest point on the parabola. It's the turning point where it goes from decreasing to increasing.

Plug x = 2 back into the original equation to find its paired y value.

y=(x+3)(x-7)

y=(2+3)(2-7)

y=(5)(-5)

y=-25

Therefore, the vertex is located at (2, -25) as indicated in the graph below. I used GeoGebra to make the graph. Desmos is another good choice.

Answer:

(i) x ≤ 1

(ii) ℝ except 0, -1

(iii) x > -1

(iv) ℝ except π/2 + nπ, n ∈ ℤ

Step-by-step explanation:

(i) The number inside a square root must be positive or zero to give the expression a real value. Therefore, to solve for the domain of the function, we can set the value inside the square root greater or equal to 0, then solve for x:

\(1-x \ge 0\)

\(1 \ge x\)

\(\boxed{x \le 1}\)

(ii) The denominator of a fraction cannot be zero, or else the fraction is undefined. Therefore, we can solve for the values of x that are NOT in the domain of the function by setting the expression in the denominator to 0, then solving for x.

\(0 = x^2+x\)

\(0 = x(x + 1)\)

\(x = 0\)     OR     \(x = -1\)

So, the domain of the function is:

\(R \text{ except } 0, -1\)

(ℝ stands for "all real numbers")

(iii) We know that the value inside a logarithmic function must be positive, or else the expression is undefined. So, we can set the value inside the log greater than 0 and solve for x:

\(x+ 1 > 0\)

\(\boxed{x > -1}\)

(iv) The domain of the trigonometric function tangent is all real numbers, except multiples of π/2, when the denominator of the value it outputs is zero.

\(\boxed{R \text{ except } \frac{\pi}2 + n\pi} \ \text{where} \ \text{n} \in Z\)

(ℤ stands for "all integers")

Answer:

(i)  x ≤ 1

(ii)  All real numbers except x = 0 and x = -1.

(iii)  x > -1

(iv)  All real numbers except x = π/2 + πn, where n is an integer.

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

\(\hrulefill\)

\(\textsf{(i)} \quad f(x)=\sqrt{1-x}\)

For a square root function, the expression inside the square root must be non-negative. Therefore, for function f(x), 1 - x ≥ 0.

Solve the inequality:

\(\begin{aligned}1 - x &\geq 0\\\\1 - x -1 &\geq 0-1\\\\-x &\geq -1\\\\\dfrac{-x}{-1} &\geq \dfrac{-1}{-1}\\\\x &\leq 1\end{aligned}\)

(Note that when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality sign).

Hence, the domain of f(x) is all real numbers less than or equal to -1.

\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &x \leq 1\\\textsf{Interval notation:} \quad &(-\infty, 1]\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x \leq 1 \right\} \end{aligned}}\)

\(\hrulefill\)

\(\textsf{(ii)} \quad g(x) = \dfrac{1}{x^2 + x}\)

To find the domain of g(x), we need to identify any values of x that would make the denominator equal to zero, since division by zero is undefined.

Set the denominator to zero and solve for x:

\(\begin{aligned}x^2 + x &= 0\\x(x + 1) &= 0\\\\\implies x &= 0\\\implies x &= -1\end{aligned}\)

Therefore, the domain of g(x) is all real numbers except x = 0 and x = -1.

\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &x < -1 \;\;\textsf{or}\;\; -1 < x < 0 \;\;\textsf{or}\;\; x > 0\\\textsf{Interval notation:} \quad &(-\infty, -1) \cup (-1, 0) \cup (0, \infty)\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x \neq 0,x \neq -1 \right\} \end{aligned}}\)

\(\hrulefill\)

\(\textsf{(iii)}\quad h(x) = \log_7(x + 1)\)

For a logarithmic function, the argument (the expression inside the logarithm), must be greater than zero.

Therefore, for function h(x), x + 1 > 0.

Solve the inequality:

\(\begin{aligned}x + 1 & > 0\\x+1-1& > 0-1\\x & > -1\end{aligned}\)

Therefore, the domain of h(x) is all real numbers greater than -1.

\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &x > -1\\\textsf{Interval notation:} \quad &(-1, \infty)\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x > -1\right\} \end{aligned}}\)

\(\hrulefill\)

\(\textsf{(iv)} \quad k(x) = \tan x\)

The tangent function can also be expressed as the ratio of the sine and cosine functions:

\(\tan x = \dfrac{\sin x}{\cos x}\)

Therefore, the tangent function is defined for all real numbers except the values where the cosine of the function is zero, since division by zero is undefined.

From inspection of the unit circle, cos(x) = 0 when x = π/2 and x = 3π/2.

The tangent function is periodic with a period of π. This means that the graph of the tangent function repeats itself at intervals of π units along the x-axis.

Therefore, if we combine the period and the undefined points, the domain of k(x) is all real numbers except x = π/2 + πn, where n is an integer.

\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &\pi n\le \:x < \dfrac{\pi }{2}+\pi n\quad \textsf{or}\quad \dfrac{\pi }{2}+\pi n < x < \pi +\pi n\\\textsf{Interval notation:} \quad &\left[\pi n ,\dfrac{\pi }{2}+\pi n\right) \cup \left(\dfrac{\pi }{2}+\pi n,\pi +\pi n\right)\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x \neq \dfrac{\pi}{2}+\pi n\;\; (n \in\mathbb{Z}) \right\}\\\textsf{(where $n$ is an integer)}\end{aligned}}\)

Answer: the third one and the actual answer is 104

Step-by-step explanation:

ATQ,

= \( \dfrac{ - 13}{25} + \dfrac{21}{5} + \frac{ - 21}{18} + x = 5\)

= \( \dfrac{ 377}{150} + x = 5\)

= \( x = 5 - \dfrac{ 377}{150}\)

= \( x = \dfrac{ 373}{150}\)

Answer

=727/150

Step-by-step explanation:

-13/25 + 21/18 + 21/18

= -13 + 105/25 + 21/18

= 92/25 + 21/18

= 1656 + 525/450

= 2181/450   =   727/150

Have nice day

median=order them and find the middle=6

mean=add them all up and divide by the amount of numbers=(3+6+9+7+4+6+7+0 +7)/9=5.4

range= the difference between the smallest and largest number=9-3=6

mode= the one that appears the most= 7

The median, mean, range and mode will be 6, 5.4, 9 and 7.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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2 25/28

1 1/7 x 1 3/4

7+1=8 4+3=7

8/7 + 7/4

x4 x7

32/28 + 49/28= 81/28

28 x 2 = 56

81-56=25

2 25/28

Answer:

\(f(x) = ax(bx + a) \\ a = 1 \: b = 10 \: x = 1 \\ f(x) = ax(bx + a) \\ f(1) = 7(1)(10(1) + 7) \\ f(1)= 7(10 + 7) \\ f(1)= 70 + 49 \\ f(1)= 149\)

Answer:

B

Step-by-step explanation:

traditional notation states h:g

which is h/g

Answer: A,B,E,F

Step-by-step explanation:

Answer:

The answer is A, B, E, F

Step-by-step explanation:

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

Answer:

2.4 makes it true!

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Step-by-step explanation: