If ƒ(x)=x²-5x−1: Find the following: f(-2)
x-2

a. 3.25
b. -13/4
c. 13/4
d. 3

Answer:

Step-by-step explanation:

f(x) = 8 sin [2(x+3)] + 9

x = 8 sin [2(y+3)] + 9

isolate y [tex](f^{-1}(x))[/tex]:

x/8 - 9 = sin[2(y+3)]

[tex]sin^{-1}(\frac{x}{8} - 9) = 2(y+3)[/tex]

                     =  2y + 6

[tex]sin^{-1}(\frac{x}{8} - 9) = 2y + 6\\sin^{-1}(\frac{x}{8} - 9) - 6 = 2y\\\frac{sin^{-1}(\frac{x}{8} - 9) - 6}{2} = y[/tex]

Answer:im guessing 1

Step-by-step explanation:

cuz the other ones dont make sense to be the answer

Since the line is linear, the sum of the angles should be 180 degrees

x + 28 + 73 = 180

x = 180 - 28 - 73

x = 79 degrees

Hope this helped :)

Answer:

35

Step-by-step explanation:

1.divide the miles that Oscar drove to get 105÷3=35

Answer:

25x^2√(2x)

Step-by-step explanation:

2√(50x^5) + 5x√(18x^3) =

2√((2*25) * x^(4+1)) + 5x√((2*9) * x^(2+1)) =

2√(2 * 5^2 * x^4 * x^1) + 5x√(2 * 3^2 * x^2 * x^1) =

5*2√(2 * 1 * x^(2^2) * x) + 3*5x√(2 * 1 * x^2 * x) =

10√(2 * x^(2^2) * x) + 15*x*x√(2 * 1 * x) =

10√(2x * (x^2)^2) + 15*x^2√(2x) =

10x^2√(2x) + 15x^2√(2x) = 25x^2√(2x)

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

The algebraic expression for the statement is 1/4N - 7 ≤ 98

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

Mathematical statement: "Seven less than the product of a number N and 1/4, is no more than 98."

The above mathematical statement is an inequality statement

The term "no more than" means less than or equal to 98

So, we have the following representation

Seven less than the product of a number N and 1/4, ≤ 98.

Represent "number" with N

So, we have the following representation

Seven less than the product of N and 1/4, ≤ 98.

Express as products

Seven less than 1/4N ≤ 98

"less than" here means minus

So, we have

1/4N - 7 ≤ 98

Hence, the algebraic expression is 1/4N - 7 ≤ 98

Read more about inequality at

brainly.com/question/25275758

#SPJ1

After 7 hours, the population of bacteria is obtained as 418544.

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The initial population of bacteria is given as 37000.

And, the doubling time is 2 hours.

Then, the formula for the population of bacteria at t hour can be given as,

P(t) = P₀ × [tex]2^{t/2}[/tex] where P₀ is the initial population.

Substitute t = 7 and P₀ = 37000 to get,

P(7) = 37000 × [tex]2^{7/2}[/tex]

⇒ P(7) = 418544

Hence, the population of bacteria after 7 hours is 418544.

To know more about exponents click on,

https://brainly.com/question/5497425

#SPJ1

The values of errors are found to be

(a) The absolute error = 3.1 m

(b) The relative error = 0.31 m

Given,

V = 10 m

V(approx) = 13.1 m

(A) To find absolute error

Absolute error = | Actual value - App. Value |

E = | V - V(approx) |

E = | V - V(approx) |

E = | 10 - 13.1 |

E = 3.1 m

Absolute error = 3.1 m

(B) To find the relative error

Relative error = | Absolute error / actual error |

n = | E / V |

E = 3.1 m

V = 10 m

n = | 3.1 / 10 |

n = 0.31 m

Relative error = 0.31 m

Therefore, the absolute error is 3.1 m and relative error is 0.31 m.

To know more about error, refer: https://brainly.com/question/4170313

#SPJ4

[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: A scientist makes a measurement and gets a value of 13.1 m. The true value is 10.0 m. Calculate the absolute and relative error of the scientist's measurement. Round your answers to a reasonable number of decimal places. Also be sure your answers include any necessary symbols. Absolute error: relative error:]

Answer:

x = 20

y = 70

Step-by-step explanation:

It's rather difficult to explain since nothing is labeled but those are the answers

The augmented matrix for the system of equations 3x + 4y = 23, 5x - y = 23 is [tex]\left[\begin{array}{ccc}3&4&|23\\5&-1&|23\end{array}\right][/tex].

A new matrix, referred to as an augmented matrix, is produced by combining the columns of two existing matrices. The augmented matrix is a crucial component when employing matrices to resolve straightforward linear equations. The number of rows in the augmented matrix is equal to the number of variables in the linear equation. The augmented matrix can be defined as the union of two straightforward matrices along the columns. If the first matrix has m columns and the second matrix has n columns, the augmented matrix will have m + n columns.

The given system of equations is

3x + 4y = 23

5x - y = 23

We can write the system as an augmented matrix:

[tex]\left[\begin{array}{ccc}3&4&|23\\5&-1&|23\end{array}\right][/tex]

To know more about augmented matrix, visit:

https://brainly.com/question/16796667

#SPJ4

Answer:

Step-by-step explanation:

Answer:

1.05

Step-by-step explanation:

5/4.75

1  1/20

The solution is Option D.

The minimum number of trips of buses to carry 420 people is 5 trips

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given as

The number of people the tour bus can carry = 72 people

The total number of people who want to go sightseeing = 420 people

So , the equation will be

The number of trips of bus to carry 420 people =  total number of people who want to go sightseeing / number of people the tour bus can carry

Substituting the values in the equation , we get

The number of trips of bus to carry 420 people = 420/72

The number of trips of bus to carry 420 people = 5.8

The number of trips of bus to carry 420 people = 5 buses

Therefore , the minimum number of buses is 5 buses

Hence , The minimum number of trips of buses to carry 420 people is 5 trips

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

62/87,21

y = x + 5

3x + y = 25

Substitute x + 5 for y in the second equation.

Substitute the solution for x into either equation to find y.

The solution is (5, 10).

the maximum altitude attained by the rocket is 300 ft (rounded to the nearest foot) with time.

To find the maximum altitude attained by the rocket, we need to find the vertex of the function h(t). We can do this by taking the derivative of the function and setting it equal to 0.

h'(t) = -32t + 300

Setting h'(t) = 0, we get

-32t + 300 = 0

32t = 300

t = 300/32

hence the time t ≈ 9.375

Now, we can substitute the value of t in the original equation h(t) to get the maximum altitude attained by the rocket.

h(9.375) = -16(9.375)2 + 300(9.375)

h(9.375) = 300 ft

Therefore, the maximum altitude attained by the rocket is 300 ft (rounded to the nearest foot).

The complete question is :

flight of a rocket the altitude in feet attained by a model rocket t time seconds into flight is given by the function h(t). find the maximum altitude (in ft) attained by the rocket. (round your answer to the nearest foot.) h(t)= -16t2 + 300t

Learn more about time here

https://brainly.com/question/28050940

#SPJ4

Answer:

  equilateral

Step-by-step explanation:

You want to know if the given triangle with angles marked (2x)°, (2x)°, and (3x-30)° is equilateral, isosceles, or neither.

On the face of it, the triangle is at least isosceles, as two angles are marked identically as (2x)°.

When we apply the angle sum theorem, we find ...

  (2x)° +(2x)° +(3x -30)° = 180°

  7x -30 = 180

  7x = 210

  x = 30

  2x = 2(30) = 60

  3x -30 = 3(30) -30 = 60

All of the angles have the same measure, 60°, so the triangle is equilateral.

Answer:

Step-by-step explanation:

2x + 2x + 3x - 30 = 180

7x = 210

x = 210 : 7

x = 30

2 x 30 = 60°

3 x 30 - 30 = 60

3 equal angles = equilateral triangle

[tex]5x+10y=25[/tex]

Add -10y to both sides:

[tex]5x+10y+-10y=25+-10y[/tex]

[tex]5x=-10y+25[/tex]

Divide both sides by 5:

[tex]\dfrac{5x}{5} =\dfrac{-10y+25}{5}[/tex]

[tex]\fbox{y = -2y + 5}[/tex]

[tex]3y= -6x+1[/tex] for y

Divide both sides by 3:

[tex]\dfrac{3y}{3} =\dfrac{-6x+1}{3}[/tex]

[tex]\fbox{y = $-2x+\dfrac{1}{3} $}[/tex]

Answer:20

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

[tex]\frac{3x+2}{5x-4}=\frac{15}{20}=\frac{3}{4} \\ \\ 12x+8=15x-12 \\ \\ 3x=20 \\ \\ \therefore SP=20+2=22[/tex]

The standard form for a circle is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius. Since the radius is not given, we need to plug in the information given.  Since the center is at the origin, this is the point (0, 0).  Since another point on the circle is (6, 8), that is the (x, y) value.  So let's plug it into the equation:

(8 - 0)2 + (8 - 0)2 = r2  --> 82 + 82 = r2 --> 100 = r2  --> 10 = r.

Since r = 10 and the center is (0, 0), the standard form equation of this circle is (x - 0)2 + (y - 0)2 = 102 or just x2 + y2 = 100.

To learn more about radius refer to:

https://brainly.com/question/26215003

#SPJ1

Answer:

She walked 1.508 miles

Step-by-step explanation:

In 1 hour, Marta can walk 2.9 miles

In 0.52 hours, she can walk 2.9 x 0.52 = 1.508 miles

Answer:

photo?

Step-by-step explanation:

Answer:

Negative seven and seven sixteenths

Step-by-step explanation:

2⅛ x (-7) x 5/10

= 17/8 x (-7) x 1/2

= - 119/16

= - 7 7/16

The value of the derivative of the function y³ + x² - 1 = 0 at x = -3 and y = 2 will be 1/3.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decrease.

the function is given below.

y³ + x² - 1 = 0

Differentiate the function with respect to 'x', then we have

(d/dx)(y³ + x² - 1) = 0

3y² y' + 2x = 0

3y² y' = - 2x

y' = - 2x / (3y²)

The value of dy/dx or y' at (-3, 2) will be given as,

y' = - 2(-2) / [3(2)²]

y' = 4 / 12

y' = 1/3

The worth of the subsidiary of the capability y³ + x² - 1 = 0 at x = - 3 and y = 2 will be 1/3.

More about the differentiation link is given below.

https://brainly.com/question/24062595

#SPJ1

Answer:

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

The charge of $55 with error margin of  ± 1.3 results in the least value of $(55 - 1.3) = $53.7 and greatest value of $(55 + 1.3) = $56.3.

If 1000 people signed up for the service, then the least total amount is:

Correct choice is B.

Answer:

252

Step-by-step explanation:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

If the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Hope this helps!!! :)