MATHEMATICS COLLEGE

Question 23
Let f be a function given by f(x)=-4x-1.
Find and simplify f(x+3)

Answers

Answer 1

Answer:

Answer:

f=- $(4x+1)/(x+3)$

Step-by-step explanation:

Divide each term in f(x+3)=−4x−1 by x+3 and simplify.

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Related Questions

MATH PLEASE HELP ASAP
The area of a rectangle is at least 115 square centimeters. The width of the rectangle is 5 centimeters and the length of the rectangle is x centimeters. what are the value(s) of x
What is a variable term in mathematics?
Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.The question is on the screenshot.RULE 1: Do not answer just for points because that's just mean
Identify the vertex, axis of symmetry, maximum orminimum, and domain and range of the function2x² – 5x + 3 = m(x)

Find the length of a diagonal of a square enclosure with a perimeter of 16 feet. Round your answer to the nearest tenth

Answers

Answer:

Step-by-step explanation:

A square enclosure would have all sides of equal length. Thus, a perimeter of 16 feet would have 4 sides (16/4) or 4 feet in length. The diagonal would form a right triangle with two sides of 4 feet each.

The diagonal, the hypotenuse, is determined by:

4^2 + 4^2 = x^2

32 = x^2

x = 5.6569 feet

Final answer:

The length of the diagonal of the square enclosure is approximately 5.7 feet.

Explanation:

The perimeter of a square is the sum of all its sides. In this case, the square enclosure has a perimeter of 16 feet. Since all the sides of a square are equal in length, we can divide the perimeter by 4 to find the length of one side.

The length of one side of the square is 16/4 = 4 feet.

To find the length of the diagonal of a square, we can use the Pythagorean theorem. The diagonal, the side, and the side form a right triangle, where the diagonal is the hypotenuse. The formula for the length of the diagonal is d = sqrt(2)s, where s is the length of one side of the square.

Substituting the value for s, we have d = sqrt(2) * 4.

Calculating this using a calculator, we get d ≈ 5.7 feet.

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Which ordered pair represents the y-intercept of the graph of the equation y= -4x - 7

Answers

Answer:

(0,-7)

Step-by-step explanation:

Answer:

(0,-7)

Step-by-step explanation:

Just took the test

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Adams Manufacturing allocates overhead to production on the basis of direct labor costs. At the beginning of the year, Adams estimated total overhead of $396,000; materials of $410,000 and direct labor of $220,000. During the year Adams incurred $418,000 in materials costs, $413,200 in overhead costs and $224,000 in direct labor costs. Compute the predetermined overhead rate.

Answers

Answer:

1.8 times the cost of labor.

Step-by-step explanation:

At the beginning of the year, the rate for overhead was estimated to be ...

(overhead $)/(direct labor $) = $396/$220 = 1.8

The overhead rate is 1.8 times the labor cost.

9,16,25,36 arithmetic or geometric?24,18,12,arithmetic or geometric?
500,100,20 ,4 arithmetic or geometric?

Answers

Answer:

9,16,25,36 neither, 24,18,12 arithmetic, 500,100,20 ,4 geometric

Step-by-step explanation:

1. has no common number

2. goes down by 6 each time

3. is divided by 5 each time

The Venn diagram shows the relationship betweenseveral sets of numbers.
Where should 0.3% be placed in the Venn diagram?
Real numbers
Natural numbers, because 0.3% is a positive
number
B
Integers, because 0.3% is a decimal
Integers
Rational
numbers
Natural
numbers
Rational numbers, because 0.3% can be
written as a fraction
Real numbers, because 0.3% is an irrational
number

Answers

Answer:

Rational numbers, because 0.3% can be

written as a fraction

Step-by-step explanation:

Answer:c

Step-by-step explanation:

A boat is heading towards a lighthouse, whose beacon-light is 131 feet above thewater. From point A, the boat's crew measures the angle of elevation to the beacon,
5°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

Step-by-step explanation:

Assuming a flat earth

initial measurement

tan5 = 131 / d₁

d₁ = 131/tan5 = 1,497.3368... ft

d₂ = 131/tan21 = 341.2666674...ft

distance from A to B

1497.3368 - 341.26666 = 1,156.1 ft

Rather daring to specify to the answer to the nearest tenth of a foot when no given measurement accuracy is even close to that same precision.

Final answer:

This is a trigonometry problem that can be solved by using the tangent function to find the distances from the boat to the lighthouse at two different angles of elevation, and then subtracting to find the distance travelled by the boat.

Explanation:

This question involves the concept of trigonometry, specifically inverse trigonometric functions. We can solve it by creating two right triangles and using the trigonometric function known as tangent. Due to the nature of the problem, we will consider the lighthouse as the opposite side while the distance from the boat to the lighthouse will serve as the adjacent side.

When the boat is at point A, we can write the following equation using the tangent of 5° - tan(5°) = 131/DistanceA. Solve this equation to find DistanceA.

Next, do the same when the boat is at point B. The equation for this scenario is - tan(21°) = 131/DistanceB. Resolve this equation to find DistanceB.

The distance from point A to B (which is what the question asks for) is just the difference between DistanceA and DistanceB. Make sure to take the absolute value to avoid a negative distance, and round the result to the nearest tenth of a foot if necessary.