Examining the functions the end behavior is
As x → –∞, m(x) → ∞ and as x → ∞, m(x) → -∞.As x → –∞, n(x) → ∞ and as x → ∞, m(x) → ∞.What is end behavior?The end behavior of function typically says the characteristics of the function at the ends
How to compare the end behavior of the given functionThe given function when examined shows that:
m(x) = -8x +10. has a negative leading coefficient; hence
x ⇒ ∞ m(x) ⇒ -∞: as x tends to positive infinity the function tends to negative infinity
x ⇒ -∞ m(x) ⇒ ∞: as x tends to negative infinity the function tends to positive infinity
n(x) = 5x^2 - 9. has a positive leading coefficient; hence
x ⇒ ∞ n(x) ⇒ ∞: as x tends to positive infinity the function tends to positive infinity
x ⇒ -∞ m(x) ⇒ -∞: as x tends to negative infinity the function tends to negative infinity
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what is the answer to this −8(9r−1)−9(−8r+2)
Answer:
-10
Step-by-step explanation:
-72r+8+72r-18
-10
which of the following is an example that best describes a cross-sectional study? multiple choice question. a study where the same elementary students are followed in grades 6, 7, 8, and 9. a study where elementary students in grades 6, 7, 8, and 9 are surveyed all at one time.
An example of a cross-sectional study is a study where elementary students in grades 6, 7, 8, and 9 are surveyed all at one time. (second option)
What is a cross-sectional study ?A cross-sectional study is when different types of individuals are studies at a single point in time. An advantage of a cross-sectional study is it cheap and quick. A disadvantage of a cross-sectional study is it cannot be used to determine changes over a period of time.
A longitudinal study is when a subject is studied over a period of time. A longitudinal study is usually time consuming because it takes place over a period of time.
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Hello, just checking my work. First right answer will be brainiest
Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long, for how many hours was Irwin riding?
0.2 hours
0.4 hours
2.5 hours
5.0 hours
Answer:
0.4
Step-by-step explanation:
how many minutes are in 4 miles
Answer:
I believe it’s C. 2.5
Step-by-step explanation:
11. Is the triangle a right triangle? Explain. 6 8 12
Answer:
Step-by-step explanation:
35368
Can you describe the pattern of the number of dots as a function of the Picture number? Tell how you got your
answer.
Answer:
In order to describe the pattern of the number of dots as a function of the picture number you have to take the average values of each number and find the line of best fit between each dot. This gives you a function, such as, f(x) = mx+b.
Hello, I need some assistance with this homework question please for precalculusHW Q16
SOLUTION:
Case: Shifting a graph
The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input. Adding to the output of a function moves the graph up. Subtracting from the output of a function moves the graph down. Here are the graphs of y = f (x), y = f (x) + 2, and y = f (x) - 2
Given:
\(\begin{gathered} y=x^3 \\ shifting\text{ 8 units up} \end{gathered}\)Required:
To show how the function changes
Method:
Step 1:
The original function
\(y=x^3\)At the original function, the graph cuts through (0,0).
Step 2:
When it is shifted 8 units up, the graph will now cut through (0,8).
The function will now be:
\(y=x^3+8\)Final answer:
\(y=x^3+8\)How does the author illustrate how computer programs have changed the job of an architect? The author shows that computer programs are more fun to use than pencil. The author shows that computer programs let you save your work faster. The author shows that computer programs speed up the process of getting building permits. The author shows that computer programs make it much faster to make changes to blueprints.
The author shows that computer programs make it faster to make changes to blur prints.
A computer program is a set of instructions written in a programming language that a computer is supposed to obey.
Computer programs are one of the intangible components of software, which also includes documentation and other components.The version of a computer program that humans can read is called the source code. Source code must be run by another program because computers can only execute their native machine instructions. Consequently, source code can be transformed into machine instructions using the language's compiler. (Programs written in machine language are translated using an assembler.) The produced file's name is an executable. The language's interpreter may also be used as a backup.Hence it is clear that the author shows that computer programs make it much faster to make changes to blue prints.
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The area of the circle is given. Find a two-decimal-place approximation for its radius.
Sorry for bad handwriting
if i was helpful Brainliests my answer ^_^
a quadrilateral with exactly two pairs of congruent consecutive sides
The name for a quadrilateral with exactly two pairs of congruent consecutive sides is a kite.
A kite is a special type of quadrilateral that possesses two pairs of congruent consecutive sides. In other words, consecutive sides of a kite are equal in length.
A kite can be visualized as having two pairs of adjacent sides that are congruent, while the nonadjacent sides are not necessarily congruent. This creates an asymmetrical shape with two distinct diagonals.
To identify a kite, you can examine the lengths of its sides. If two pairs of consecutive sides have equal lengths, while the remaining sides do not, then the quadrilateral can be classified as a kite.
For example, consider the following side lengths for a quadrilateral: AB = BC = CD ≠ DA.
In this case, the sides AB and BC are congruent, as are the sides CD and DA. However, the nonadjacent sides, AB and CD, are not necessarily congruent.
A quadrilateral with exactly two sets of congruent following sides is called a kite. It is characterized by two pairs of adjacent sides that have equal lengths, while the nonadjacent sides may differ in length. Kites have unique properties and are commonly encountered in geometry and recreational mathematics.
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Which graph represents the hyperbola = 1?
Answer:
yall not all of the answers for these ones are on here. go to symbolab and type in the hyperbola like x^2/a^2-y^2/b^2=1 and look at where it intersects the axis. it'll get you the right answer
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The third graph aka the one that looks most like an X. It's right because Edge said so.
Assuming its y^2/6^2 - x^2/2^2 = 1 I repeat the answer is the third graph. C.
What are the roots of 2x^2+4x+7 ? Show your work.
The roots of 2x^2+4x+7 are -1 + i√5 and -1 - i√5.
Define quadratic function.A quadratic function has the generic form f(x)=ax²+bx+c. A parabola, a kind of two-dimensional curve, is the graph of a quadratic function. A polynomial function of degree two in one or more variables is known in algebra as a quadratic function, quadratic polynomial, polynomial of degree 2, or simply a quadratic. The phrase "quadratic" in mathematics refers to something that has to do with squares, the squaring operation, terms of the second degree, or equations or formulas that contain such terms. Latin's word for square is quadratus.
Function:
2x² + 4x + 7 = 0
ax² + bx + c = 0
x = \(\frac{-b +-\sqrt{}b^{2}- 4ac }{2a}\)
a = 2
b = 4
c = 7
Using quadratic function,
x = \(\frac{-4\sqrt{} 4^{2} -4(2)(7)}{2(2)}\)
x = \(\frac{-4+-\sqrt{-40} }{4}\)
So,
i = √-1
x = \(\frac{-4+-2i\sqrt{10} }{4}\)
Simplifying,
x = -1 +-√10/2
Roots are:
x = -1 + i√10/2
x = -1 - i√10/2
The roots of 2x^2+4x+7 are -1 + i√5 and -1 - i√5.
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Determine the missing y value if the slope of a line is 4/3 and the line passes through the points (5,x) and (2,-3)
Answer:
x = -7
Step-by-step explanation:
Given parameters:
Slope of the line = \(\frac{4}{3}\)
Coordinates = (5,x) and (2,-3)
Unknown:
X= ?
Solution:
To find slope, use the expression below;
Slope = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
y₂ = -3 y₁ = x
x₂ = 2 x₁ = 5
\(\frac{4}{3}\) = \(\frac{-3 - x}{2 - 5}\)
3(-3-x) = 4(-3)
-9 -3x = 12
-3x = 21
x = -7
What is the factorization of the trinomial below?
3x^2+36x+81
A. (x+2)(x+27)
B. (x+3)(x+9)
C. 3(x+2)(x+9)
D. 3(x+3)(x+9)
box contains 3 red pencils, 5 blue pencils, 4 black pencils, and 2 green pencils.
The best description of the likelihood of selecting a green pencil at random from the box is , 1 of 1.
Select Choice
.
The likelihood of selecting a green pencil at random from the box is the probability of randomly selecting a green pencil which is equal to 1/7
What is probabilityThe probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.
The total possible outcome = 14
the event of selecting a green pencil = 2
probability of selecting a green pencil = 2/14
by simplification;
probability of selecting a green pencil = 1/7
Therefore, likelihood of selecting a green pencil at random from the box is the probability of randomly selecting a green pencil which is equal to 1/7.
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How many more cubic inches are in the volume of a cylinder with a diameter of 12 inches and a height of 13 inches than in the volume of a cylinder with a diameter of 10 inches and a height of 11 inches?
Answer:
Approx. 606.02 cubic inches more.
Step-by-step explanation:
\(Volume=\pi *(\frac{diameter}{2})^2*height\)
First, let's find the volume of the first cylinder (diameter=12, height=13).
\(V=\pi * (\frac{12}{2})^2 * 13\\V=\pi * (6)^2 * 13\\V=\pi * 36 * 13\\V=3.14*36*13\\V=113.04*13\\V=1469.52 in^3\)
Now let's find the volume of the second cylinder (d=10, h=11).
\(V_{2}=\pi * (\frac{10}{2})^2*11\\V_{2}=\pi * (5)^2*11\\V_{2}=\pi * 25 * 11\\V_{2}=3.14*25*11\\V_{2}=78.5*11\\V_{2}=863.5in^3\)
Lastly, we can subtract the volume of the second cylinder from the volume of the first cylinder.
This gets us a solution of 606.02 cubic inches.
Write the expression in complete factored form.
5a(b + 1) + 3(b + 1) help
Answer:
(b+1)(5a+3)
Step-by-step explanation:
Notice how (b+1) appears on both sides. That means we can "factor it out" by moving it to the very left -
(b+1)
Now we know the form of the answer we can continue doing it.
For the next step, I take the terms 5a and 3 (what's left) and move them to the right as shown:
(b+1)(5a+3)
#Keep learning
Best regards
Ella has two 8-ft. long boards. She
needs to cut pieces that are 15 inches
long. How many 15-inch pieces can
she cut from the two boards?
My sister needs help?
Answer:
Step-by-step explanation:
How do I solve for x?
Here, the opposite angles of the triangle are equal. If 2 opp. angles in a triangle are equal, then the opposite sides will be equal as well.
So,
16 = x + 36
16 - 36 = x
-20 = x
______
Hope it helps ⚜
mention about angles of a triangle
Use this data to create a scatter plot
Number of Hours vs. Size in Pounds
Size (lb)Time (h)
Size (lb) Time (h)
8 5
12 6.5
9.5 4
5 2
7 3.5
7.5 5 (PS) please send a picture if you can, this is a test for k12
Answer:
I hope it helps.
Factorise completely 45m² - 5n².
Answer:
5(3m+n)(3m - n)
Step-by-step explanation:
Factorize:First take the common factor '5' from both the terms.
45m² - 5n² = 9*5*m² - 5n²
= 5*(9m² - n²)
= 5*( [3m]² - n²)
\(\sf \boxed{\bf use \ the \ identity: \ a^2 - b^2 = (a+b)(a-b)}\)
Here, a = 3m and b = n
= 5* [ (3m + n)(3m - n)]
= 5 *(3m + n)*(3m - n)
plzzzz help mark brainiest plus 20 points
:)
Answer:
I think its D. If not then it's A. I'm sorry if I get it wrong
5x+36
HEPPP MEEE PLEASEEE
Answer:
180
Step-by-step explanation:
5×+36 is 180
hope this helps !!?
Answer:
x = 7.2
Step-by-step explanation:
First we write down the equation
5x + 36
In order to find what x equals we will need to isolate the variable. To do this we divide the variable by 5.
This gets us...
x = 7.2
Sorry if you didn't need to find what x equaled.
HELP ASAP TIMED
At 5pm, Cindy who is 5ft tall has a shadow that is 6ft long. How long would the shadow of a 6ft tall man be at the same time?
Answer:
The length of the shadow of a 6ft tall man at 5pm would be approximately 7.2ft.
Step-by-step explanation:
We can use the ratio of the heights to the lengths of the shadows to find the length of the shadow of a 6ft tall man. Here are the steps:
Write the ratio of the height to the length of Cindy's shadow:
5/6
Set up a proportion with the ratio of the height to the length of the shadow for the 6ft tall man:
5/6 = 6/x
Cross-multiply to solve for x:
5x = 36
Divide both sides by 5:
x = 7.2
Therefore, the length of the shadow of a 6ft tall man at 5pm would be approximately 7.2ft.
Hope this helps! I'm sorry if it doesn't. If you need more help, ask me! :]
B is the midpoint of AB. If the coordinates of B are (11,20) and A are (3,8) what are the coordinates of C?
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{3}~,~\stackrel{y_1}{8})\qquad C(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +3}{2}~~~ ,~~~ \cfrac{ y +8}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE B}}{(11~~,~~20)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +3}{2}=11\implies x+3=22\implies \boxed{x=19} \\\\\\ \cfrac{ y +8}{2}=20\implies y+8=40\implies \boxed{y=32}\)
Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake
The number of people are 72.
What is HCF?Highest Common Factor is the full name for HCF in mathematics.
According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.
What is LCM?Least Common Multiple is the full name for LCM in mathematics.
LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.
We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.
Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.
We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:
288 / x² = (16*18) / x² = 288 / x²
Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.
As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.
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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
What is area?A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.
To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.
The total area of the cake is:
16 inches x 18 inches = 288 square inches
To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:
√(288 square inches) ≈ 16.97 inches
Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:
Each piece of cake will be approximately 16 inches by 16 inches.
To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:
288 square inches ÷ (16 inches x 16 inches) = 18
Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
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Mike drew a scale drawing of a restaurant. In real life, the restaurant's kitchen is 9 meters
wide. It is 3 millimeters wide in the drawing. What is the scale of the drawing?
1 millimeter : ____ meters
Answer: 1 mm: 3 m
Step-by-step explanation: 9 m/3 mm=3 m/mm
then you flip that so it's 1 mm/3 m
PLEASE ANSWER ATTACHED
Answer:
<BAC = 65
<CAE = 115
<DAE = 65
<BAD = 115
Step-by-step explanation:
x + 75 = 3x - 5
-x -x
75 = 2x - 5
+ 5 + 5
80 = 2x
/2 /2
x = 40
Then we substitute x in the problems and solve
<BAD = x + 75 = 40 + 75 = 115
<CAE = 3x - 5 = 3(40) - 5 = 115
<BAC = 180 - 115 = 65
<DAE = 180 - 115 = 65
We can also confirm this because BAC and DAE are congruent. Also BAD and CAE are congruent due to vertical angles.
if a simple Pearson correlation value = .512, what percentage of variance is accounted for? a. 26% b. 49% c. 51% d. 74%
Answer: c
Step-by-step explanation: