The square of a number is 3 less than four times the number. Which values could be the number?

The average rate of change of the function over the interval is 1

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

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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Answer:53.312

Step-by-step explanation: 8.33 x 6.40

Answer:

\(274\,\text{in}^3\)

Step-by-step explanation:

\(V=\pi r^2h=\pi(3.75)^2(6.21)\approx274\,\text{in}^3\)

Answer:

\(h(x)=-5x^2+10x-2\)

Step-by-step explanation:

\(h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x)=-5(x^2-2x+1)+3\\\\\implies h(x) = -5x^2+10x-5+3\\\\\implies h(x)=-5x^2+10x-2\)

Answer:

8a+4b-6

Step-by-step explanation:

Hope this helps you!!!!

Combine like terms 5a -2b - 6 + 3a + 6b

8a + 4b - 6

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

16/25

Step-by-step explanation:

64 /4 = 16

100/4 =25

Answer:

let, x +60.8 be the angle

now we have,

x+60.8+x=90

or,2x=90-60.8

or,x=29.2/2

Therefore, x =14.6

Step-by-step explanation:

The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.

The magnitude of vector v is 2 and the angle it makes with the positive x-axis is given as θ = 3.

The component form of vector v can be found by using the following formula:

V = ||V|| (cosθi + sinθj)

Therefore, the component form of vector v is given by:

V = 2 (cos3i + sin3j)

We can calculate the components by substituting the values for ||v|| and θ in the above formula.

Therefore, the x component of vector v is given by:

Vx = 2 cos3

Vx = 1.86

The y component of vector v is given by:

Vy = 2 sin3

Vy = 3.42

Therefore, the component form of vector v is given by:

V = 1.86 i + 3.42 j

This can be represented graphically as shown in the figure.

The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.

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Answer:

88

Step-by-step explanation:

Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Answer:

Keith

Step-by-step explanation:

When you are rounding to the nearest hundred it would NOT include a tens or ones value. So in this case 1,300 would be correct.

Hope that helps and have a great day!

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Decentralization is a management approach that involves the delegation and assignment of decision-making rights from top levels of management to lower levels of management. Option A

It is an effective way to empower employees and to improve decision-making processes within an organization. The benefits of decentralization include the following:

It empowers more employees at lower levels of management: Decentralization allows employees to take ownership of their work, to be more accountable, and to make decisions that are in the best interest of the organization. This, in turn, leads to improved job satisfaction, employee engagement, and better overall performance.

It allows for better and more timely decision-making: Decentralization ensures that decisions are made closer to where the work is being done. This leads to faster decision-making, improved responsiveness to changes in the market, and better coordination between different departments and teams.

It trains future managers: Decentralization provides employees with the opportunity to gain valuable management experience, which can help prepare them for future leadership roles within the organization.

However, one benefit of decentralization that is not accurate is that it forces top levels of management to focus on individual units. In fact, decentralization can free up top management to focus on the big picture and long-term strategy, rather than getting bogged down in day-to-day operations.

In conclusion, decentralization is a useful management approach that can help organizations improve decision-making, empower employees, and train future managers.

By delegating decision-making rights to lower levels of management, organizations can improve overall performance and become more adaptable to changes in the market.

So Option A is correct.

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complete question:

The benefits of decentralization i.e. delegation and assignment of decision rights include all of the following except:

a it forces top levels of management to focus on individual units

b it empowers more employees at lower levels of management

c it allows for better and more timely decision making

d it trains future managers

Answer:

6

Step-by-step explanation:

The value of x in the equation x⁵ + 64x² = 0 is x = 0 or  x = -8 after taking common.

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

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

It is given that the polynomial equation is:

x⁵ + 64x² = 0

x²(x³ + 64) = 0

x² = 0    or  x³ + 64 = 0

x = 0   or    x³ = -64

x = 0 or    x = -8

Thus, the value of x in the equation x⁵ + 64x² = 0 is x = 0 or  x = -8 after taking common.

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Answer:

31 is correct guys

Step-by-step explanation:

Since the data is incomplete, for the given question the required average rate of change is given by 15 + 3h.

Given that,
For a function j(x), the difference quotient is 3x2 + 3xh + h2.

The average rate of change of j(x) over the interval [–1, 6] is to be determined.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is independent while Y is the dependent variable.

Here, the average rate of change = f(6) - f(-1) / (6 + 1)
So,
f(6) = 108 + 18h + h²
f(-1) = 3 - 3h + h²

Now,
average rate of change = [(108 + 18h + h²) - (3 - 3h + h²)]/(7)
                                        = [105 + 21 h ] / 7
                                         =   15 + 3h

Thus,  the required average rate of change is given by 15 + 3h.

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The equation of logarithm are solved and

a) A = 2 + 3 log x + 4 log b

b) B = ( 36 + x + y ) ( log 6 )

c) C = ( 1/2 )x log 5

d) D = ln ( x⁴ / y² )

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

A = 2 log 10 + 3 log x + 4 log b

The base of the logarithm is 10 , so

A = 2 + 3 log x + 4 log b

b)

B = log 6³⁶ + log 6ˣ - log 6^ ( y )

From the properties of logarithm , we get

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

B = 36 log 6 + x log 6 + y log 6

On taking the common term , we get

B = ( 36 + x + y ) ( log 6 )

c)

C = ( 1/2 )log 5ˣ

From the properties of logarithm , we get

C = ( 1/2 )x log 5

d)

D = 4 ln x - 2 ln y

From the properties of logarithm , we get

D = ln x⁴ - ln y²

On further simplification , we get

D = ln ( x⁴ / y² )

Hence , the logarithmic equations are solved

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The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Answer:

a

Step-by-step explanation:

The required simplified value of the expression 24 minus 12 divided by 2 times 3.2 is 4.8.

The Bodmas rule is arranged according to the letters in the acronym BOD MAS, which stand for brackets, order of powers or roots, division, and multiplication. A stands for addition and S for subtraction. According to the BOD MAS rule, mathematical equations containing numerous operators must be resolved in the BOD MAS order, starting from the left.

The given expression is,

24 minus 12 divided by 2 times 3.2

The expression can be written by using mathematical operators,

24 - 12 / 2 x 3.2

Solve using BOD MAS rule,

24 - 6 x 3.2

24 - 19.2

4.8

The Simplified value of the given expression is 4.8.

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Answer:

\(x^2 + 10x+25\)

Step-by-step explanation:

(x + 5)^2 is the same as (x + 5)(x + 5), which is what you call a binomial expression, since two terms (x + 5) are being multiplied by each other.  You can multiply any binomial expression using the FOIL method, where you multiply the first (F), outer (O), inner (I), and last terms and simplify at the end:

First terms:  x * x

Outer terms:  x * 5

Inner terms:  5 * x

Last terms:  5 * 5

Simplifying:

\((x * x) + (x * 5) + (5 * x) + (5 * 5)\\x^2+5x+5x+25\\x^2+10x+25\)

Answer:

Step-by-step explanation:

Probability of finding 2 left handed students out of 8 samples is 0.1488 or 14.88%.

Binomial distribution is the distribution of a random variable X for which there are only two possibilities. The probability p for the success and the probability of 1-p for the failure, which consist of n trials.

Given,

Number of students in the college = 800

10% of which are left handed.

Probability of finding left handed student = 10% = 0.1

p = 0.1

q = 1 - 01 = 0.9

Number of samples, n = 8

We have to find P(x = 2)

The formula to calculate binomial distribution is,

P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

P(x = 2) = ⁸C₂(0.1)²(0.9)⁶

            = 28 × (0.1)²(0.9)⁶

            = 0.14880348

            ≈ 0.1488

Hence the probability is 0.1488.

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After determining the x and y axis, we get the x and y intercepts as 1.5 and -2.

Given the equation is -8x-6y=12

-6y=8x+12

y=-8x/6+12/6

y=-4x/3+2

To determine x intercept, set y=0

-4x/3+2=0

Multiply both sides of the equation by the common denominator.

-4x×3/3 + 2×3 = 0×3

Reduce the fraction.

-4x+6=0

Rearrange the variables to the left side of the equation.

-4x=-6

cancel - sign.

4x=6

x=6/4

x=3/2

Now, to determine y intercept, set x=0

-8x-6y=12

-8(0)-6y=12

-6y=12

y = -12/6

y = -2

Hence the x and y intercepts are 1.5 and -2 respectively.

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Answer:-1/6

Step-by-step explanation:

Draw a line out in the 2nd quadrant.

Your y=\(\sqrt{35}\)    hypotenuse=6  use pythagorean theorem to solve for x

6² = 35 + x²

x=1

so

cosΘ = -1/6