The range of the composition is:
R (-∞, 3)
How to find the range?
We have the functions:
u(x) = -2x² + 3
v(x) = 1/x
The composition gives:
(u o v)(x) = -2*v(x)² + 3
(u o v)(x) = -2(1/x)² + 3
Now, as x tends to infinity, the first term tends to zero (because the denominator is to large) then the function has an upper bound at 3.
Then as x decreases, the function decreases, when x tends to zero, the function tends to negative infinity.
So the range is:
R (-∞, 3)
if p - 4 = 2, find the value of 5p - 20
Can anyone solve this problem???
One person can complete a typing project in 6 hours, and another can complete the same project in 8 hours. How long will it take the two people working together to complete the project???
Time taken to complete the project if two people worked together is required.
It would taken around 3.4 hours to complete the project if both the people worked together
Time taken to complete the work by first person is 6 hours
Time taken to complete the work by second person is 8 hours
The work equation will be be
[tex]\dfrac{1}{6}+\dfrac{1}{8}=\dfrac{1}{x}\\\Rightarrow \dfrac{4+3}{24}=\dfrac{1}{x}\\\Rightarrow x=\dfrac{24}{7}\approx 3.4\ \text{hours}[/tex]
So, it would taken around 3.4 hours to complete the project if both the people worked together.
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What is the remainder when 14,952 is divided by 41
Answer:
the answer is 28 A
Step-by-step explanation:
What type of math is adding subtracting of positive and negative numbers
Final answer:
Adding and subtracting positive and negative numbers falls under the subject of arithmetic in mathematics. The rules for addition and subtraction of integers depend on the signs of the numbers being operated on.
Explanation:
In mathematics, adding and subtracting positive and negative numbers falls under the subject of arithmetic. This concept is also known as integer addition and subtraction.
When you add two positive numbers, the answer is positive. When you add two negative numbers, the answer is negative. When you add numbers with different signs, you subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value.
Similarly, when you subtract a positive number from another positive number, or a negative number from another negative number, you follow the same rules. However, when you subtract a negative number from a positive number, you can think of it as adding a positive number, resulting in a larger positive number.
Solve for p: 3p-2(p-4) =7p+6
Plz help asap
Thanks
A student writes the difference between 15 and the product of 5 and y to describe the expression 5y - 15. Explain the error
thalia is packing a moving box she has a square frame poster with an area of 9 square feet the cube shaped box has a volume of 30 cubic feet will the poster lie flat in the box
The are of a rectangle is 117 square centimeters. The width of the rectangle is 9 centimeters. What is the length of the rectangle?
An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and another rod into the shape of an equilateral triangle. If each side of the triangle is 2 inches longer than each side of the square, how long, in inches, is each rod?
Answer:
24 inches
Step-by-step explanation:
We are given that an artist creating a sculpture using bendable metal rods of equal length.
One rod is in square shape and second rod is in equilateral triangle shape.
We have to find the length of each rod
Let side of square= x inches
Length of each side of equilateral triangle =x+2 inches
We know that perimeter of square=[tex]4\times side[/tex]
Perimeter of equilateral triangle=[tex]3\times side[/tex]
Using the above formula
Then , Length of square shaped rod=perimeter of square =[tex]4x[/tex]
Perimeter of equilateral triangle =Length of equilateral shaped rod=[tex]3(x+2)[/tex]
Length of square shaped rod=Length of equilateral triangle shaped rod
[tex]4x=3(x+2)[/tex]
[tex]4x=3x+6[/tex]
[tex]4x-3x=6[/tex]
[tex]x=6[/tex]
Length of each side of square =6 inches
Length of square shaped rod=[tex]4\times 6=24 inches[/tex]
Length of each side of equilateral side=6+2=8 inches
Length of equilateral shaped rod=[tex]8\times 3=24 inches[/tex]
Salma drove 605 miles in 11 hours at the same rate how long would it take her to drive 385
divide 605 by 11 to find her speed
605/11 = 55 ( she drove 55 miles per hour )
now divide 385 by 55 to find time
385/55 = 7 hours
A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing the dependence of the variable s on t, where s is the distance between the bicyclist and the station in km, t - the duration (time) of his travel in hours. Using the formula, find:
Answer:
s=18
Step-by-step explanation:
First of all, the formula is s=60-12t. thanks to the person who answered this question first (teehee)
S=distance and t=duration.
We also know that the distance is 60 km, the bicyclists's speed is 12 km/h, and the duration for this example is 3.5 hours.
So, using the formula, we substitute all the variables and s=18.
Thanks!
Also, for how the formula is what it is, look at the previous answer cuz yea.
Maybe this helped?
hehe- EG
d•r=r•d what’s the property
Write a two-column proof given 2x + 6 96 prove: x = 46
Eliana's calculator displays a number as 5.378 E9.
What is this number in standard form?
Enter your answer in the box.
Answer:
5,378,000,000
Step-by-step explanation:
5.378E9
5.378 x 10^(9)
5,378,000,000
what is the simplified form of 3abc/abc, when abc does not equal 0? explain using the properties of real numbers
The perimeter of a triangle is 465 cm. The length of the sides are consecutive integers. Find the length of the smallest side.
Twice a number is 24 less than 4 times the number find the number
The question asks for a number which when multiplied by 2 gives a result that is 24 less than the result of the number when multiplied by 4. The solution to this problem is the number 12.
Explanation:The student's question asks about algebraic expression and solving for a value. This could be written as an equation:
2x = 4x - 24
First, let's simplify this equation by subtracting 2x from both sides, this gives you:
2x = 24
Then, solve the equation by dividing both sides by 2, and we find that the number is:
x = 12
So, the number that the student is searching for is 12. Twice this number is 24, which is indeed 24 less than 4 times the number (48).
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Which graph represents the solution to the inequality?
please help !!!!!!!!!
Determine the value of y in the equation: -5y-9=-(y-1) (show all work)
The value of y in the equation is -2.5.
Explanation:To determine the value of y in the equation -5y-9=-(y-1), we can start by distributing the negative sign to both terms within the parentheses. This gives us -5y-9=-y+1. Next, we can combine like terms by adding y to both sides of the equation. This simplifies the equation to -4y-9=1. To isolate y, we can subtract 9 from both sides of the equation, resulting in -4y=10. Finally, we divide both sides of the equation by -4 to find the value of y, which is -2.5.
Total employment for sheet metal workers in 2016 is projected to be 201,000. If this is a 6.3% increase from 2006, approximately what was the total employment in 2006? a. 214,000 b. 188,000 c. 195,000 d. 189,000
Answer:
189,000
Step-by-step explanation:
what is
7x-4=-2x+1+9x-5
The equation 7x-4=-2x+1+9x-5 has infinitely many solutions
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 7x-4=-2x+1+9x-5
We have to take the variable terms on one side and constant on other side
In the given equation x is the variable and plus comma minus are all operators.
We need to solve for x.
7x+2x-9x=1-5+4
9x-9x=0
0=0
So the equation has infinitely many solutions
Hence, the equation 7x-4=-2x+1+9x-5 has infinitely many solutions
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Evaluate 3|-3|. -6 6 9 -9
The height of a triangle is 3cm less than the length of its base and is area is 27m,find the height
Number 8. Solve the equation for variable d. Correct answer will get brainliest.
Marty is helping make floral centerpieces for the sports banquet. The guidelines tell him how many of each flower to use in one centerpiece. If he follows the guidelines, which statement is true?
-2 lilies
-1 rose
-3 carnations
-2 daffodils
-1 iris
Analyze the statements below and complete the instructions that follow. p: A point has a y-coordinate of zero. q: A point lies on the x-axis. Determine the truth values of the statements
how to describe and compare a box plot.
what are the roots to this quadratic equation?
Answer:
[tex]\frac34[/tex] and [tex]-\frac34[/tex]
Step-by-step explanation:
Hello!
We have to solve for x to find the roots of the quadratic.
Solve for x[tex]16x^2 = 9[/tex][tex]x^2 = \frac{9}{16}[/tex][tex]\sqrt{x^2} = \sqrt{\frac{9}{16}}[/tex][tex]x = \pm\frac{\sqrt9}{\sqrt{16}}[/tex][tex]x = \pm\frac34[/tex]The roots of the quadratic are [tex]\frac34[/tex] and [tex]-\frac34[/tex].
The roots of the quadratic is when the value of y is 0, or when the graph intersects the x-axis.
12 25 10 38 12 19 8 12 17 41 7 22 10 19 12 16 5 14 find the mean, median, and mode of these weights