10 – (8p + 3) = 9(2p - 5)

To show that each function is O(x^2) using the Definitional proof, we need to find a constant c and a positive number k such that |f(x)| ≤ c|x^2| for all values of x greater than some value k.

(a) For function f(x) = x:

We need to find a constant c and k such that |x| ≤ c|x^2| for all x > k.

Let's choose c = 1 and k = 1.

|f(x)| = |x| ≤ 1 * |x^2| for all x > 1.

Therefore, f(x) = x is O(x^2).

(b) For function f(x) = 9x + 5:

We need to find a constant c and k such that |9x + 5| ≤ c|x^2| for all x > k.

Let's choose c = 14 and k = 1.

|f(x)| = |9x + 5| ≤ 14 * |x^2| for all x > 1.

Therefore, f(x) = 9x + 5 is O(x^2).

(c) For function f(x) = 2x^2 + x + 5:

We need to find a constant c and k such that |2x^2 + x + 5| ≤ c|x^2| for all x > k.

Let's choose c = 8 and k = 1.

|f(x)| = |2x^2 + x + 5| ≤ 8 * |x^2| for all x > 1.

Therefore, f(x) = 2x^2 + x + 5 is O(x^2).

(d) For function f(x) = 10x^2 + log(x):

We need to find a constant c and k such that |10x^2 + log(x)| ≤ c|x^2| for all x > k.

Let's choose c = 11 and k = 1.

|f(x)| = |10x^2 + log(x)| ≤ 11 * |x^2| for all x > 1.

Therefore, f(x) = 10x^2 + log(x) is O(x^2).

In each case, we have found a constant c and a value k such that the inequality |f(x)| ≤ c|x^2| holds for all x greater than k. This satisfies the definition of f(x) being O(x^2).

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Answer:

97

Step-by-step explanation:

92+55=147

180-147=33

85+45=130

180-130=50

50+33=83

180-83=97

Answer: $2 and 5 cents each

Step-by-step explanation:

Each daughter will equally split up the 5 dollars, so 5 divided by 2, you will get 2.5

Answer:

8xy im pretty sure

Step-by-step explanation:

Step-by-step explanation:

(i hope this helps)

speed=distance/time taken

Answer:

3/5

Step-by-step explanation:

there are 6 even numbers and 4 odd so 10 in total which is 6/10 and that simplified is 3/5 PLS give me brainliest i beg

The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

The inverse of our given equation- would be y=x+6/2 and options B is the correct choice.

An equation is a mathematical statement that expression the equality of the expression using of the equal sign equation are used to define relationship between differentiation variables can be used to solve for the unknown's values when you problems equation are also used to describe the behavior of the physical system in the represent law of nature.

We have been given an equation y=2x-6 . We are asked to find the inverse of our given equation.

To find inverse of our given equation, we will interchange x and y variables and solve for y as shown below:
x=2y-6
Switch sides:
2y-6=x
Add 6 on both sides:
2y-6+6=x+6
2y=x+6
Divide both sides by 2:
2y/2=x+6/2
y=x+6/2

Therefore, the inverses of our given equation would've be y=x+6/2 and option B is the correct choice.

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In two years, there are roughly 104 weeks. Bimonthly can therefore refer to either every two months or twice a month, even though biweekly is generally understood to indicate every two weeks.

In this dictionary, the adjective biweekly is defined as both "occurring every two weeks" and "occurring twice a week." The word biweekly is defined similarly as "occurring every two months" AND "happening two times a month." The difference between bimonthly and semimonthly is that bimonthly denotes every two months whereas semimonthly denotes once every two months. Similar to biweekly, the term "bimonthly" refers to events occurring every two months. On the other hand, because semi signifies half, semimonthly is twice a month. Two times per month, often on the 15th and last day of the month, a semimonthly payroll is paid.

2 year = 104 weeks

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The fraction of the pitcher each type of juice are 1/3 and 2/3

From the question, we have the following parameters that can be used in our computation:

Parts = 6

Orange juice = 1

Peach juice = 2

using the above as a guide, we have the following:

Orange juice  : Peach juice = 1 : 2

Multiply by 2

So, we have

Orange juice  : Peach juice = 2 : 4

When represented as a fraction, we have

Orange juice = 1/3

Peach juice = 2/3

Hence, the fractions are 1/3 and 2/3

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Answer:

Yes, if you know the coordinates of a point PP in your original figure as (x,y)(x,y), you can figure out the coordinates of PP following rotation and given by (x′,y′)(x′,y′) as

x′=−yx′=−y

y′=xy′=x

X - Y and X + Y are uncorrelated. To show that X - Y and X + Y are uncorrelated, we need to show that their covariance is zero.

The covariance between X - Y and X + Y is given by:

\(Cov(X - Y, X + Y) = E[(X - Y)(X + Y)] - E[X - Y]E[X + Y]\)

Expanding the first term:

Cov(X - Y, X + Y) = E[X^2 - Y^2] - E[X - Y]E[X + Y]

Using the fact that X and Y have the same variance, we have:

\(E[X^2 - Y^2] = E[(X - Y)(X + Y)] = E[X^2] - E[Y^2]\)

And since X and Y have the same variance\(, E[X^2] = E[Y^2]\), so we can simplify:

\(E[X^2 - Y^2] = 0\)
Next, we can expand the second term:

E[X - Y]E[X + Y] = (E[X] - E[Y])(E[X] + E[Y])

Since X and Y have the same variance, we have E[X] = E[Y], so:

E[X - Y]E[X + Y] = (E[X] - E[X])(E[X] + E[X]) = 0

Putting it all together:

Cov(X - Y, X + Y) = 0 - 0 = 0

Therefore, X - Y and X + Y are uncorrelated.

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Answer:

A

Step-by-step explanation:

Given :

2x + 4y = 14  ---------- eq 1

4x + y = 20 ---------- eq 2

if you multiply eq 2 by -4 on both sides, you get

-4 (4x + y = 20) = -4 (20)

-16x -4y = -80 --------- eq3

we can see that eq. 1 and eq 2 together forms the system of equations presented in option A, Hence A is equvalent to the orginal system of equations given in the question.

The system of equations which is equivalent to the \(2x + 4y = 14\),\(4x + y = 20\)  is given in option \((A)\) i.e. \(2x + 4y = 14\) and \(-16x - 4y = -80\).

System of equations comprises of two or more equations and seeks common solutions to the equations.

We have,

\(2x + 4y = 14\)   \(........(i)\)

  \(4x + y = 20\)    \(........(ii)\)

Now,

To check that which option suits best for system of equation,

Lets multiply equation \((ii)\) by \((-4)\),

  \((-4) (4x + y) = (-4)*(20)\)

\(-16x-4y=-80\),

So, this above obtained equation is in option  \((A)\).

Hence, we can say that the system of equations which is equivalent to the \(2x + 4y = 14\) ,\(4x + y = 20\) is given in option \((A)\) i.e. \(2x + 4y = 14\) and \(-16x - 4y = -80\).

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Answer:

Step-by-step explanation:

Notice that 1/2 divided by 4 is 1/8.  Graph A represents this.

Answer:

I think it should be A

Step-by-step explanation:

because of the four boxes before half but I stand to be corrected

The recursive formula states that f(n) is equal to f(n-1) plus 5.So, the explicit formula for f(n) is f(n) = -62 + 5(n-1).

To find the explicit formula, we need to analyze the given recursive formula for f(n). We are given that f(1) = -62, indicating the initial value of the sequence. The recursive formula states that f(n) is equal to f(n-1) plus 5.

Based on this information, we can derive the explicit formula as follows:

- For the first term, f(1), we already know the value is -62.

- For the second term, f(2), we can substitute n = 2 into the recursive formula: f(2) = f(2-1) + 5 = f(1) + 5 = -62 + 5 = -57.

- For the third term, f(3), we can substitute n = 3 into the recursive formula: f(3) = f(3-1) + 5 = f(2) + 5 = -57 + 5 = -52.

- We continue this process for each subsequent term, adding 5 to the previous term.

In general, for any value of n, the explicit formula for f(n) is given by f(n) = -62 + 5(n-1). This formula allows us to directly calculate the value of any term in the sequence without relying on the previous terms.

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Answer:

8:31

Step-by-step explanation:

all of them are equal with 1:4 except 8:31

Answer:

i can see

Step-by-step explanation:

UKDIAMOND is a great place for the people of sentence to get it 4out in a sense that you are a very

Answer:

b = 99°

Step-by-step explanation:

XY is a line segment and so it is a straight line which means that it is a straight angle - 180°

a = 28°

c = 53°

b = ?

=> a + b + c = 180°

=> 28° + b + 53° = 180°

=> b = 180° - (53 + 28)°

=> b = 180° - 81°

=> b = 99°

Therefore b = 99°

Hope it helps :)

The electric potential at a specific point in this particular region of space is determined by the constants a, b, and c, as well as the distances z and x.

In a certain region of space, the electric potential is given by v = ay/x + bzx² + c.

Electric potential:

Electric potential refers to the amount of work done per unit charge when moving a positive test charge from infinity to a specific point within an electric field.

In the given region of space, the electric potential at a particular point is defined as v = ay/x + bzx² + c. This equation indicates that the electric potential at a point depends on three parameters, which are as follows:

a, b, and c: These are constants that determine the behavior of the electric potential in the region of space.

z: This variable represents the distance between the origin (reference point) and the point where the electric potential is to be measured.

x: This variable represents the distance of the point from the plane perpendicular to the z-axis at the origin, passing through the point.

Therefore, we can conclude that the electric potential at a specific point in this particular region of space is determined by the constants a, b, and c, as well as the distances z and x.

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Answer:0.2419218956

Step-by-step explanation:

Answer: answer

Step-by-step explanation: Answer:1. Circle with center X had radius r ; Given

Circle with center Y had radius Y has radius S ; Given

Translate X to Y ; Translation is a similarity transformation

Dilate circle X by s/r ; Dilation is a similarity transformation

Circle X ~ Circle Y ; a composition of similarity transformation maps circle X to circle Y

Answer:

view attachment

Answer:

She gave 5/8 to Gary.

Step-by-step explanation:

1 3/8 as an improper fraction is 11/8. 11/8 - 6/8 is 5/8.

Answer:

5/8

Step-by-step explanation:

Turn a mixed number to an improper fraction: 1 3/8=11/8

Subtract: 11/8-6/8=5/8

5/8

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

An equation is modeled. The value of x makes the equation true is -1.

Equation:

Conditional comparisons apply only to specific values ​​of variables. An equation consists of two expressions joined by an equal sign ("="). Expressions for both sides of the equals sign are called the "left side" and the "right side" of the equation. Usually the right side of the equation is assumed to be zero. If this is accepted, it does not reduce the generality, since it can be done by subtracting the right side from the two sides.

According to the Question:

5x + 6 = 1

5x = -5

x = -1

Complete Question:

An equation is modeled. What value of x makes the equation true?

(1) 1

(2) 7

(3) -5

(4) -1

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there will be no money left over from the £1,100 budget.To calculate how much will be left over from the £1,100 budget, we need to determine the total cost of the coffee machine and the bean bags, and then subtract that amount from the initial budget.

The coffee machine costs £290, which is a fixed price and does not change.

For the bean bags, each bean bag costs £30, but there is an offer of 20% off if at least 20 bean bags are bought. This means that for every 20 bean bags, the cost will be reduced by 20%.

Let's calculate the cost of the bean bags:

Number of bean bags = Total budget - Cost of the coffee machine
Number of bean bags = £1,100 - £290
Number of bean bags = £810

Since each set of 20 bean bags costs £30, we can calculate the number of sets of 20 bean bags that can be bought:

Number of sets = Number of bean bags / 20
Number of sets = £810 / 20
Number of sets = 40.5

Since we can't buy a fraction of a set, we will consider the whole number of sets, which is 40. This means that 40 sets of 20 bean bags will be bought.

The total cost of the bean bags is:

Total cost of bean bags = Number of sets * Cost per set
Total cost of bean bags = 40 * (£30 - 20% of £30)
Total cost of bean bags = 40 * (£30 - 0.2 * £30)
Total cost of bean bags = 40 * (£30 - £6)
Total cost of bean bags = 40 * £24
Total cost of bean bags = £960

Now, let's calculate the remaining budget:

Remaining budget = Initial budget - Total cost of coffee machine - Total cost of bean bags
Remaining budget = £1,100 - £290 - £960
Remaining budget = £1,100 - £1,250
Remaining budget = -£150

Since the remaining budget is a negative value, it means that the initial budget of £1,100 is not enough to cover the cost of the coffee machine and the bean bags. Therefore, there will be no money left over from the £1,100 budget.

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The decision rule will be t>1.761

What is meant be mean and standard deviation?

The ratio of sum of observations to the total number of observation is known as mean. It is one of the central tendency in the statistics. It gives an idea about the central value present in the data. The most sensitive measure of central tendency is mean. It is very easy to calculate. Mean playa a crucial role in daily life. The two types of means are Arithmetic mean and Geometric mean.

Standard deviation is a measure in the statistics. The amount of variation of a set of values is known as standard deviation. Standard deviation is denoted by σ.

This is a right tailed test with degrees of freedom = 15 -1=14

For 14 degrees of freedom and 0.05 significance level,

Critical value = 1.761

So,

The decision rule will be:

Reject  if t > 1.761

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Answer:

8.7m

Step-by-step explanation:

[6.7]²+5.5}²

=[75.14]

√75.14m

=8.7m

Step-by-step explanation:

\( {(df)}^{2} = {(de)}^{2} + {(ef)}^{2} \\ = {6.7}^{2} + {5.5}^{2} \\ = 44.89 + 30.25 \\ = 75.14 \\ df = \sqrt{75.14} = 8.67m \\ thank \: you\)

Answer:

8 and 1/3

Step-by-step explanation:

Answer:

8 1/3

Step-by-step explanation:

25 ÷ 3 = 8 and remainder = 1 =>

25 = 8 × 3 + 1 =>

25/3 =

(8 × 3 + 1) / 3 =

8 + 1/3 =

8 1/3

If \(h(x)=\frac{-5}{6} x+\frac{7}{8}\)  then the value of h(3) = -13/8  , h(4) = -59/24 ,  h(-1/2) = 31/24 .

In the question , the equation is given as

\(h(x)=\frac{-5}{6} x+\frac{7}{8}\)      ....(i)

Part(a)

To find the value of h(3)

we substitute the value of x=3 .

On substituting the value of x=3 in equation (i),

we get ,

h(3) = (-5/6)3+7/8

= -15/6+7/8

taking LCM of 6 and 8 as 24, we get

= -60/24 + 21/24

= (-60+21)/24

= -39/24

Writing in the simplest form we get

= -13/8

so, the value of h(3)= -13/8 .

Part(b)

for h(4) ,we substitute the value of x=4 .

On substituting the value of x=4 in equation (i) ,

we get ,

h(4) = (-5/6)4+7/8

= -20/6+7/8

taking LCM of 6 and 8 as 24, we get

= -80/24 + 21/24

= (-80+21)/24

= -59/24

so , the value of h(4)= -59/24 .

Part(c)

for h(-1/2) ,we substitute the value of x as -1/2 .

On substituting the value of x = -1/2 in equation (i) ,

we get ,

\(h(\frac{-1}{2} )=\frac{-5}{6} *\frac{-1}{2} +\frac{7}{8}\)

= 5/12 +7/8

taking LCM of 12 and 8 as 24, we get

= 10/24 + 21/24

= (10+21)/24

= 31/24

so , the value of h(-1/2)= 31/24 .

Therefore , if h(x) = (-5/6)x+7/8 the the value of h(3)= -13/8  , h(4)= -59/24 and h(-1/2)= 31/24 .

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Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10