Given the following function:
\(h(x)=0.1(x-3)^2(x+3)^3\)The function has a degree = 5 (odd number)
And the leading coefficient = 0.1 (A positive number)
So, the end behavior will be as follows:
\(\begin{gathered} x\to\infty\Rightarrow h(x)\to\infty \\ x\to-\infty\operatorname{\Rightarrow}h(x)\to-\infty \end{gathered}\)So, the answer will be:
The end behavior of the function is down to the left
and up to the right.
===========================================================
Part 2: Find the y-intercepts
The y-intercept is the value of y when x = 0
so, we will substitute x = 0 and find the value of y
\(y=0.1(0-3)^2(0+3)^3=0.1*9*27=24.3\)So, the answer will be:
y-intercept = 24.3
===========================================================
Now, we'll graph the function using the data from the previous parts
We will make a table between x and y to graph the function
The table and the graph will be as follows:
Cole and Maggie play table tennis. Maggie has won 4 more games than Cole. Is it possible for Cole to have won 13 games if the sum of the games Cole and Maggie have won together is 30?
*
1 point
Yes; Cole could have won 13 games because 2x + 4 = 30.
Yes; Cole could have won 13 games because 13 + 4 is less than 30.
No; Cole could not have won 13 games because 2x + 13 ≠ 30.
No; Cole could not have won 13 games because 2x + 4 ≠ 30
The answer to this Question is A we can use basic knowledge from linear equations to find the answer
What is Linear Equation?
Linear Equation is a equation in which degree of variables is 1 only
Yes the given case is possible only under some conditions that we can define as follows and as given in Linear Equations from Options
together cole and maggie have won 30 games and we are also given that out of those 30 maggie has won 4 games
we should closely see at Linear Equations given in Options.
therefore cole has won 26 games which is more than 13
Hence the answer to the Question is Yes
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PLEASE HELPPP IM SO CONFUSED :(
Answer: The answer is
22x + 16y
Step-by-step explanation: U gotta sum each letter with the same letter. For example in your assignment you have to sum 8x + 7x + 8x + 3x bc all the numbers have letter and the same goes for y u gotta sum 7y + 7y + y + y
Hope u understand :))
simplify the expression 5t + (3r+2r) + 3t +4r
can you solve this question?
By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.
How to calculate the valueThe Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:
ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)
ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.
ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).
Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:
ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)
Substituting the given values, we get:
2/c = [ 2ln7 - 2ln1 ] / (7 - 1)
2/c = ln7
c = 2 / ln7
c ≈ 0.909
Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.
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a medical terminology course has 150 total students. On the first exam 96 students passed. what is the percentage of students that did not pass the first terminology exam?
64% percent of students have not passed the first terminology exam.
96/150 = 16/25
16/25 = 64%
The price of call of duty modern warfare Remastered was reduced from $60 to $45 By what percent was the price of the video game
Answer:
25%
Step-by-step explanation:
$60 times ? = $45
$60 - $45 = $15
$15 were reduced and 15/60 = 25%
Answer: 25%
Step-by-step explanation:
25
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)?
y = 3x + 5
y = 3x − 5
y = 3x + 1
None of these choices are correct.
Hey there! I'm happy to help!
All of these answer options are in slope intercept form (y=mx+b) where m is the slope and b is the y-intercept.
If our slope is 3, our m will be 3 in the equation, which matches our answer options.
We now want to find the y-intercept (b). To do this, we plug in the point (1,-2) into the equation with our slope of 3 and then solve for b.
-2=3(1)+b
We flip the equation so b is on the left.
3(1)+b=-2
3+b=-2
We subtract 3 from both sides.
b=-5
So, the equation of this line is y=3x-5.
Have a wonderful day! :D
Answer:
y = 3x-5
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = 3x +b
Substitute the point into the equation
-2 = 3(1)+b
-2 = 3+b
Subtract 3 from each side
-5 = b
y = 3x-5
10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2
A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).
To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.
The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.
Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.
The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.
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Find u+v-4u.
u=(5,-2) and v= (-5,7)
By placing the given value in equation , we get u + v - 4u = (-20, 13)
How to evaluate vector?A physical quantity that has both directions and magnitude is referred to as a vector quantity.
A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.
To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:
4u = 4(5,-2) = (20,-8)
Now, we can add u and v, and subtract 4u from the result:
u + v - 4u = (5,-2) + (-5,7) - (20,-8)
= (5 - 5 - 20, -2 + 7 + 8)
= (-20, 13)
Therefore, u + v - 4u = (-20, 13).
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Total 427 tickets sold 73 fewer student tickets than adult tickets how many adult tickets
9514 1404 393
Answer:
250
Step-by-step explanation:
Let 'a' represent the number of adult tickets.
a +(a -73) = 427
2a = 500 . . . . . add 73
a = 250 . . . . . . divide by 2
250 adult tickets were sold.
_____
Additional comment
I call this a "sum and difference problem" because we are given the total of two values and the difference between them. As you can see here, the larger of the two values is the average of the given numbers, their sum divided by 2. This is the generic solution to such a problem: the larger number is the average of the given sum and difference.
Which statement is logically equivalent to the following statement: “If it is raining, I will stay home from the concert”?
If I do not stay home from the concert, then it is not raining.
If it is not raining, I will not stay home from the concert.
If it is raining, I will not stay home from the concert.
If I stay home from the concert, then it is raining.
PLS help
Answer:
It’s If I do not stay home from the concert then it is not raining.
Step-by-step explanation:
it’s the answer that I have because in the question it’s asking what is the same but I guess opposite. Which is why I chose the first answer as my answer since if it’s not raining then they would go to the concert.
Use rounding to the nearest whole number to estimate the product
4 1/4 • 7 9/17
A) About 32
B) About 35
C) About 40
D) About 25
Answer:
A) About 32Step-by-step explanation:
4 1/4 • 7 9/17The first one is rounded down as 1/4 < 1/2 and the second one rounded up as 9/17 > 1/2.
4 * 8 = 32Correct choice is A
Product
17/4(128/17)128/432Option A
I need help pls on this problem
A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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Describe how to complete the square to change an equation from standard form into perfect square form.
Dante has been putting one penny in his bank every day. Now he has 161 pennies. For how many weeks has Dante been adding pennies to his bank?
Answer:
23 weeks because the penny is 161 and u dividing 161 by 7 because 1week hace 7 days and calculate 161÷7=23
the answer is 23 week
PLEASE HELP ITS MATH THANK YOUUUU
Solve for n. Only use numbers in your answer.
5n + 8 = 23
n =
Answer:
Subtract 8 from both sides to isolate 5n.
23-8= 15
5n=15
divide both sides by 5 to get n.
5n/5= n
15/5=3
n=3
Answer:
n = 3
Step-by-step explanation:
5n = 23 - 8
Calculate
5n = 15
Divide Both Sides
n = 3
A straight line is given as 2 x+4 -2 y-5=-3 z-6 (a) Determine the vector equation of the straight line. (b) Find the intersection point between the straight line with the plane yz
Answer:
a) r(t) = (10, 5, -5) + (5, 5, 0)*t
b) (0, -5, -5)
Step-by-step explanation:
a) 2x + 4 -2y -5 = -3z -6
2x - 2y +3z +5 =0
(10, 5, -5)
(15, 10, -5)
(5, 5, 0)
r = (10, 5, -5) + (5, 5, 0)*t
b) The yz plane is given by the equation x = 0.
x = 0 in the vector equation of a straight line if and only if t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.
sin^4x rewrite the power as a product of two squared terms
sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)
How to rewrite the expression?The sine expression is given as
sin^4x
The above means
sin x raised to the power of 4
This in other words, the expression is represented as
(sin(x))^4
Express 4 as 2 + 2
(sin(x))^(2 + 2)
Apply the law of indices
(sin(x))^2 * (sin(x))^2
This gives
sin^2(x) * sin^2(x)
Hence, sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)
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Are the 2 triangles congruent?
Answer:
ya they r
Step-by-step explanation:
-9x - 5y = 26
4x -4y = -24
Answer:
(-4, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-9x - 5y = 26
4x - 4y = -24
Step 2: Rewrite systems
4x - 4y = -24
Add 4y to both sides: 4x = 4y - 24Divide 4 on both sides: x = y - 6Step 3: Redefine systems
-9x - 5y = 26
x = y - 6
Step 4: Solve for y
Substitution
Substitute in x: -9(y - 6) - 5y = 26Distribute -9: -9y + 54 - 5y = 26Combine like terms: -14y + 54 = 26Isolate y term: -14y = -28Isolate y: y = 2Step 5: Solve for x
Define original equation: 4x - 4y = -24Substitute in y: 4x - 4(2) = -24Multiply: 4x - 8 = -24Add 8 to both sides: 4x = -16Divide 4 on both sides: x = -4Step 6: Graph
Check the solution set.
what is 1/2 divided by 1/2 step by step dont just give me the answer
NEED HELP ASAP
Step-by-step explanation:
we divide the denominator so
1/2÷1/2=1
1÷1=1(simple)
2÷2=1(simple)
so 1/1=1
what is the perpendicular and parallel lines of y= -2 -4x
y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.
Where m represents the slope and y intercept is -2.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.
The negative reciprocal of -4 is 1/4.
Therefore, the slope of the perpendicular line is 1/4.
The perpendicular line is y=1/4x-2.
We know that the parallel lines have same slope.
y=-4x+3
Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
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(8^2/3)^4 simplify plzzzzzz
Step-by-step explanation:
\({({8}^{ \frac{2}{3} })}^{4} \\ {8}^{ \frac{2}{3} \times 4 } \\ {8}^{ \frac{8}{3} } \\ {2}^{3 \times \frac{8}{3} } \\ {2}^{8} \)
One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
you can make 12 cans of them
Use appropriate method to solve the following. 1. If twice the age of a son is added to age of a father, then the sum is 56. If twice the age of the father is added to the age of son, then the sum is 82. Find the ages of father and son. 2. In a two-digit number, the sum of the digits is 13. Twice the tens digit exceeds the units digit by one. Find the numbers. 3. I am thinking of a two-digit number. If I write 3 to the left of my number, and double this three digit number, the result is 27 times my original number What is my original number?
Answer:
Step-by-step explanation:
Let the age of the son be $s$ and the age of the father be $f$. From the first equation, we have $2s + f = 56$, and from the second equation, we have $f + 2s = 82$. Solving this system of equations, we get $s = 12$ and $f = 32$, so the son is 12 years old and the father is 32 years old.
Let the two-digit number be $10t+u$, where $t$ is the tens digit and $u$ is the units digit. We are given that $t+u=13$ and $2t-u=1$. Solving this system of equations, we get $t=7$ and $u=6$, so the two-digit number is $76$.
Let the two-digit number be $10x+y$, where $x$ is the tens digit and $y$ is the units digit. We are given that $2(10+x+y) = 27(10x+y)$, or $20+2x+2y = 270x+27y$. Simplifying this equation, we get $268x-25y = 10$. Since $y$ is a digit, we know that $0 \leq y \leq 9$. We can check that $x=1$ is too small, so we try $x=2$. Plugging in $x=2$, we get $536-25y=10$, which gives $y=21/5$, which is not a digit. Thus, there is no solution for a two-digit number.
Amadi has jar with one dollar and two dollar coins in it.
There are coins in total.
A jar of one and two dollar coins.
The ratio of one dollar coins to two dollar coins is .
How many coins are two dollar coins
Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.
Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.
Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.
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Matt needs a new pair of jeans. A pair of Levi's jeans costs $75.00. The store is having a
fall sale where all jeans are 40% off. What is the discount? What will Matt end up paying
for the jeans? SHOW ALL OF YOUR WORK.
Answer:
$5.4375. my guy hope this help :.(
Step-by-step explanation:
Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a
length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś
Answer:
41 meters
Step-by-step explanation:
\(\frac{31}{64}\) = \(\frac{19.8}{x}\)
31x = (19.8)(64)
31x = 1267.2 Divide both sides by 31 and round
x = 41