Need to find f(x+1) the function f is defined by f(x)

Answer:

answer rounded up is -31.84

Step-by-step explanation:

So first, square root of 6 is 2.4494, and then you times that by 2, and then you do square root of 54 which equals to 7.34846, and then you times 5 by that, and then you do 2 times square root of 6 minus 5 times square root of 54. Hope it helps

Answer: he took 60 grapes to school

Step-by-step explanation:

you just have to think about this. if you have given a friend 15 grapes and you are left with 45. So, for you to have 45 left you must have left home with 60 grapes.

Mathematically, lets represent how many he brought to school with x

15+45=x

X= 60

Answer

129.6 square meters.

Explanation

The way to do this is to find the area of this trapezoid.

The area of a trapezoid is given as

Area of a trapezoid = ½ (a + b) h

where

a and b = The two parallel sides of the trapezoid

h = height of the trapezoid

Area of a trapezoid = ½ (a + b) h

a = 10.8 m

b = 16.2 m

h = 9.6 m

Area of a trapezoid = ½ (a + b) h

Area of a trapezoid = ½ (10.8 + 16.2) 9.6

= ½ (27) (9.6)

= ½ (259.2)

= 129.6 m²

Hope this Helps!!!

Answer:

151200 cm³

Step-by-step explanation:

volume = (area of base) × (height of prism)

volume = bh/2 × H

volume = (32 cm)(63 cm)/2 × 150 cm

volume = 151200 cm³

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

Practice more quarters related questions

https://brainly.in/question/13325111

Answer:

6.438 [litres].

Step-by-step explanation:

1) the condition '5.50 liters are removed' means the coolant 12.5-5.5=7 [litres] with 13.4% solution;

2) the condition 'coolant containing 13.4% antifreeze' means 7*0.134=0.938 [litres] of pure antifreeze in the 7 litres coolant;

3) the condition '5.50 liters of pure antifreeze is then added' means 0.938+5.5 [litres];

4) finally, it is contained 0.938+5.5=6.438 [litres] of antifreeze will be contained in the final mixture.

government services, education and health services, libraries, road maintenance

Answer:

90°.

Step-by-step explanation:

if AR is diameter and the angle ∠AOR (it's m∠2) is based on this diameter, then its measure is 90°. It is central angle.

Answer:

whats the question

Step-by-step explanation:

Answer:

The length of 5 inches should be counted 1 time.

Step-by-step explanation:

The 5 inches between the triangle and rectangle is inside the shape. So, it doesn't count as perimeter.

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Required factors of the given expression is (7-10x) and (5x-4).

What is factor?

A number or algebraic expression that divides another number or expression evenly—that is, without a remainder is called factor. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression with only two factors (that is, itself and 1), is called a prime number; A positive integer or an algebraic expression that has more than two factors is called a complex number. The prime factors of a number or algebraic expression are those factors that are prime factors. According to the Fundamental Theorem of Arithmetic, any integer greater than 1 can be uniquely expressed as the product of its prime factors, except for the order in which the prime factors are written; for example, 60 can be written as a product of 2·2·3·5.

Given expression is

\(2(2x-1)^{2} + 2(3-6x)(4x-7) - 4 {x}^{2} + 1 - 6 {x}^{2} - 25x + 11\)

We are Simplifying,

2(2x-1)² + 2(3-6x)(4x-7) - 4x² + 1 - 6 x² - 25x + 11

= 2( 4x²-4x+1)+2(12x-21-24x²+42x)-4x²+1-6x²-25x+11

= 8x²-8x+2+24x-42-48x²+84x-4x²+1-6x²-25x+11

= -50x²+75x-28

= -(50x²-75x+28)

= -[50x²-(50+25)x+28]

= -1[5x(10x-7)-4(10x-7)]

= -(10x-7)(5x-4)

= (7-10x) (5x-4)

Required factors of the given expression are (7-10x) and (5x-4)

Learn more about factor here,

https://brainly.com/question/25829061

#SPJ1

\(0.84 \div 3 = 84 \div 300 = 0.28\)

Answer:

1) A and B = {1, 3, 5, 7, 9, 0, 2, 4, 6, 8}

2) Yes, A and B are disjoint.

Step-by-step explanation:

The set union of A and B is the set containing all the elements of Set A and Set B. So it would be:

Set A U B = {1, 3, 5, 7, 9, 0, 2, 4, 6, 8}

The set intersection of A and B is the set containing all the elements that are common to both Set A and Set B. So it would be:

Set A ∩ B = {} (empty set)

Yes, A and B are disjoint because they have no elements in common.

Answer:

1. y = 2x - 5

2. y = (-1/3)x

3. y = -4

4. y = (-3/4)x + 7

5. x = 6

6. y = -3x - 8

Step-by-step explanation:

1.

Point 1: (0, -5) Point 2: (-1, -7)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -7 - (-5)     -7 + 5       -2

m = ------------ = ----------- = ---------- = ------ = 2

        x₂ - x₁         -1 - 0           -1           -1

y - y₁ = m (x - x₁)

y - (-5) = 2(x - 0)

y + 5 = 2x - 0

   -5           -5

y = 2x - 5

----------------------------------------------------------------------------------------------------------

2.

Point 1: (0, 0) Point 2: (3, -1)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        -1 - 0            -1

m = ------------ = ----------- = ----------

        x₂ - x₁         3 - 0            3

y - y₁ = m (x - x₁)

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

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

   -0                -0

y = (-1/3)x

----------------------------------------------------------------------------------------------------------

3.

Point 1: (0, -4) Point 2: (-5, -4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -4 - (-4)   -4 + 4         0

m = ------------ = ----------- = ---------- = ------ = 0

        x₂ - x₁         -5 - 0          -5          -5

y = -4

----------------------------------------------------------------------------------------------------------

4.

Point 1: (0, 7) Point 2: (4, 4)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        4 - 7            -3

m = ------------ = ----------- = ----------

        x₂ - x₁         4 - 0            4

y - y₁ = m (x - x₁)

y - 7 = (-3/4)(x - 0)

y - 7 = (-3/4)x - 0

   +7               +7

y = (-3/4)x + 7

----------------------------------------------------------------------------------------------------------

5.

Point 1: (6, 0) Point 2: (6, 3)

            (x₁, y₁)              (x₂, y₂)

        y₂ - y₁        3 - 0             3

m = ------------ = ----------- = ---------- = undefined

        x₂ - x₁         6 - 6           0

x = 6

----------------------------------------------------------------------------------------------------------

6.

Point 1: (0, -8) Point 2: (-4, 4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        4 - (-8)      4 + 8       12

m = ------------ = ----------- = ---------- = ------ = -3

        x₂ - x₁         -4 - 0          -4         -4

y - y₁ = m (x - x₁)

y - (-8) = -3(x - 0)

y + 8 = -3x - 0

   -8           -8

y = -3x - 8

I hope this helps!

Answer:

The answer is "Choice A".

Step-by-step explanation:

\(\to \hat p = \frac{6}{80} = 0.075\\\\\to n \hat p = 6 \ngeq 10\)

In this question, "choice A" violates the population size at a minimum of ten times the magnitude including its sample, and therefore does not violate its requirement that is the sample, which was taken in change.

Answer:

17x^2-9x-9 -->B

Step-by-step explanation:

7x^2 -12x +3 +10x^2+3x-12

Answer:

By finding LCM of 9 and 12 the answer is 36

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

37.5cm sifjueikksksoowi

Answer:

38.5 = width

Step-by-step explanation:

Answer:

Step-by-step explanation:

6

The system of the equation as augmented matrix is written as  

  [ 0       0    ]    [ 100 ]

  [-4       -7   ]    [ 300 ]

  [ -5      -9  ]     [ 200 ]

An augmented matrix is a matrix formed by combining the columns of two matrices to form a new matrix.

Also an augmented matrix is the result of joining the columns of two or more matrices having the same number of rows.

The system of the equation as augmented matrix is written as follows;

                      = 100

-4 m  -   7c      =   300

-5 m -   9c       =  200

= [ 0       0    ]    [ 100 ]

  [-4       -7   ]    [ 300 ]

  [ -5      -9  ]     [ 200 ]

Learn more about augmented matrix here: https://brainly.com/question/12994814

#SPJ1

Step-by-step explanation:

To solve the problem, we'll use the information given to find the values of A and k in the equation T = 20 + Ae^(-kt), where T is the temperature in degrees Celsius at time t.

a. Finding the value of A:

We're given that the initial temperature of the tea was 70℃. Substituting this into the equation, we get:

70 = 20 + Ae^(0) (since e^0 = 1)

70 - 20 = A

A = 50

So the value of A is 50.

b. Finding the value of k:

We're told that it takes 4 minutes for the tea to decrease in temperature from 70℃ to 50℃. We can use this information to set up an equation and solve for k.

Substituting T = 70 and t = 4 into the equation, we have:

70 = 20 + 50e^(-4k)

Subtracting 20 from both sides:

50 = 50e^(-4k)

Dividing both sides by 50:

1 = e^(-4k)

Taking the natural logarithm (ln) of both sides:

ln(1) = ln(e^(-4k))

0 = -4k

Dividing both sides by -4:

0 = k

However, we need to check if this solution satisfies the condition for the tea to decrease in temperature from 70℃ to 50℃ in 4 minutes.

Substituting T = 50 and t = 4 into the equation, we have:

50 = 20 + 50e^(-4(0))

50 = 20 + 50e^0

50 = 20 + 50(1)

50 = 20 + 50

50 = 70

Since 50 is not equal to 70, the value of k = 0 does not satisfy the given condition.

Let's try another approach:

Substituting T = 50 and t = 4 into the equation, we have:

50 = 20 + 50e^(-4k)

Subtracting 20 from both sides:

30 = 50e^(-4k)

Dividing both sides by 50:

0.6 = e^(-4k)

Taking the natural logarithm (ln) of both sides:

ln(0.6) = ln(e^(-4k))

ln(0.6) = -4k ln(e)

ln(0.6) = -4k(1)

ln(0.6) = -4k

Simplifying further:

k = ln(0.6) / -4

Using a calculator or computer to evaluate ln(3/5) / -4, we get approximately:

k = ln(5/3) / 4

To recap:

a. The value of A is 50.

b. The value of k is approximately k = ln(5/3) / 4

.

Note: The calculations provided are based on the given information and assumptions. If there are any additional details or specific conditions provided, please let me know, and I'll be happy to assist you further.

Answer:

9 laps takes 5 minutes 25 seconds.

Step-by-step explanation:

Here is given:

4 laps takes 6 minutes 12 seconds.

We have to find how long 1 lap takes.

4/4 6/4 12/4 --> 1 lap takes 2 minutes 33 seconds.

Now, multiply each by 9 because you want to find 9 laps, so:

1x9 2x9 33x9 --> 9 laps takes 5 minutes 25 seconds.

Hope this helps :)

Answer:

Step-by-step explanation:

Given

Substitute the values to verify which is correct

A. (-1, -5)

B. (1, -5)

C. (2, 3)

D. (2, -2)

Answer:

we have

y>2x-3

now

For

A. (-1,-5)

-5>-2-3

-5>-5

It is equal. So false.

B. (1,-5)

-5>2-3

-5>-1

-1 is not greater than -5

So false

For

C. (2,3)

3>2-3

3>-1

3 is greater than -1

So True

For

D. (2,-2)

-2>2-3

-2>-1

-2 is not greater than -1

So false

Answer:

They throw out the records they no longer need or seen unnecessary because they no longer see the importance of having it.

Step-by-step explanation:

This occurs when the number of $5 price increases is approximately 10.82 or 15.32.

The function given is P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. We are to identify the approximate value of the x-intercept and explain what the x-intercept means in terms of the problem scenario.

The x-intercept is a point where the graph of the function crosses the x-axis. At this point, the value of the function is zero.

We can find the x-intercept by setting P(x) = 0 and solving for x.0 = −6x2 + 156x + 1,0006x2 - 156x - 1000 = 0Dividing by 6, we get:x2 - 26x - 166.67 = 0Solving using the quadratic formula,

we get:x ≈ 10.82 or x ≈ 15.32So, the x-intercepts are approximately 10.82 and 15.32. In terms of the problem scenario, the x-intercept represents the point at which the company breaks even, i.e., the point at which the daily profit is zero.

To learn more about : price

https://brainly.com/question/1153322

#SPJ8

Answer:

2. x = 135

Step-by-step explanation:

im not sure about question 1