The graphs with negative leading coefficients are the green graph and the purple graph.
When do we have negative leading coefficients?For any polynomial, we define the leading coefficient as the coefficient that multiplies the term with the larger exponent.
If the leading coefficient is negative, we will see that the end behavior as x increases is that the function decreases.
So we have:
x⇒∞, f(x) ⇒-∞
The graphs where we see this are:
Green one (we can see that the parabola opens downwards).Purple one (you can see that as x increases, the function decreases).The other two functions have positive leading coefficients.
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Tyson has 1/2of raisions
to divide into seven different bags what fraction of a pound will be in each bag
Answer:
Step-by-step explanation:
ZXVCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Standard form (5×100)+(6×10)+(8×1/10)+(6×1/1000)
Answer:
560 806/1000
Step-by-step explanation:
Answer:
Hi! The correct answer is 280403/500!
Step-by-step explanation:
What combination of transformations is shown below ?
Answer:
Translation then Reflection
Step-by-step explanation:
Step 1 to 2 is Translation
Step 2 to 3 is Reflection
Answer:
I think it is rotation, then reflection
HURRY The projected worth (in millions of dollars) of a large company is modeled by the equation y=246(1.11)x. The variable x represents the number of years since 1997.
What is the projected annual percent growth, and what should the company be worth in 2005?
Responses
a. 11%, $510.74 million
b.11%, $566.92 million
c.21%, $629.28 million
d.21%, $273.06 million
The projected annual percent growth is 11% and the worth in 2005 will be $566.92 million. The solution has been obtained by using linear equation.
What is a linear equation?
The degree of the linear equation is 1. It is clear that in linear equations with exponents greater than one, there are no variables. The equation for this graph produces a straight line.
We are given an equation as y = \(246(1.11)^{x}\)
From this, we get the percentage of annual growth as
⇒ (1.11 - 1) * 100
⇒ 0.11 * 100
⇒ 11%
The worth of company in 2005 is given by
y = \(246(1.11)^{x}\), where x = 8
On substituting, we get
⇒ y = \(246(1.11)^{8}\)
⇒ y = $566.92 million
Hence, the projected annual percent growth is 11% and the worth in 2005 will be $566.92 million.
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the trapezoids are similar, find
Answer:
X = 7
Step-by-step explanation:
7 + 1 = 8
7 - 3 = 4
4 is half of 8
Answer:
x = 7
Step-by-step explanation:
To find the value of x we can use similarity ratio
3/6 = (x-3)/(x+1) cross multiply expressions
3x + 3 = 6x - 18
3 + 18 = 6x - 3x
21 = 3x divide both sides by 3
7 = x
what are the like terms for -4y+7+9y-3
The given expression is:
\(-4y+7+9y-3\)By collecting like-terms, we have:
\(-4y+9y+7-3\)By simplification, we have:
\(5y+4\)Hence, the final answer is 5y + 4
Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38
MARK
The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.
What are mixed numbers?Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).
The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.
2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.
The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.
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Question :
Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38/47
100 point question. I attached a screenshot of the problem.
Answer:
Express the given function h as a composition of two functions f and g so that h (x )equals (f circle g )(x )commah(x)=(f g)(x), where one of the functions is 4 x minus 3.4x−3. h (x )equals (4 x minus 3 )Superscript 8h(x)=(4x−3)8 f (x )f(x)equals=4 x minus 3. See answer. zalinskyerin2976 is waiting for your help.
Step-by-step explanation:
this what f ;|
Answer:
x1=-1 ,x2=1
Step-by-step explanation:
(20a - 1) ÷ b when a= 2 and b= 13
Answer:
3
Step-by-step explanation:
(20a - 1) ÷ b
a = 2
b = 13
(20(2) - 1) ÷ 13
(40-1)÷13
39÷ 13
= 3
answer: 32a^{13}b
your welcome
Can y’all help me on question 15?!
Answer:
B. 2⁵ + 7²
Step-by-step explanation:
2 to the fifth power is: 2⁵
7 squared (7 to the second power) is: 7²
James had a large bag of raisins and he ate3/4 of it over the weekend. Monday he decided to share the remaining raisins with 2 friends so that each of 3 of them get a fair share. What portion of the whole bag of raisins did each of friends get
The share of the whole bag of raisins individually of the friends get will be 1/12.
What is Algebra?Algebra is the study of ideational symbols, while logic is the manipulation of all those opinions.
James had a large bag of raisins and he consumed 3/4 of it over the weekend. Then the share of raisins left is given as,
⇒ 1 - 3/4
⇒ 1/4
Monday he determined to share the remaining raisins with 2 friends so that individuals of the 3 of them fetches a fair share. Then the portion of the entire bag of raisins did separately of the friends get will be given as,
⇒ (1/4) / 3
⇒ 1 / (4 x 3)
⇒ 1 / 12
The share of the whole bag of raisins separately among the friends get will be 1/12.
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The dot plot shows the number of books lent by a school library during a 10-day period.
What was the mean absolute deviation of the number of books?
F. 0
G.
H.
J.
1.04
1.96
..
23 24 25 26 27 28 29 30 31 32 33
2.19
The mean absolute deviation of the number of books is 1.84
How to determine the mean absolute deviation?The dot plot of the number of books is in the attached figure.
From the figure, we have:
x f
1 1
2 2
3 2
4 3
5 1
6 2
7 3
8 1
Start by calculating the mean using:
\(\bar x= \frac{\sum fx}{\sum f}\)
So, we have:
\(\bar x= \frac{1 * 1 + 2 * 2 + 2 * 3 + 3 * 4 + 1 * 5 + 2 * 6 + 3 *7 + 1 * 8}{1 +2+2+3+1+2+3+1}\)
Evaluate the sum and products
\(\bar x= \frac{69}{15}\)
Divide
\(\bar x= 4.6\)
The mean absolute deviation is then calculated as:
\(|\bar x| = \frac{\sum f|x - \bar x|}{\sum f}\)
So, we have:
\(|\bar x|= \frac{1 * |1 -4.6|+ 2 * |2 -4.6| + 2 * |3 -4.6|+ 3 * |4 -4.6|+ 1 *| 5 -4.6|+ 2 * |6 -4.6|+ 3 *|7 -4.6|+ 1 * |8-4.6|}{1 +2+2+3+1+2+3+1}\)
Evaluate the absolute difference
\(|\bar x|= \frac{1 * 3.6+ 2 * 2.6 + 2 * 1.6+ 3 * 0.6+ 1 *0.4+ 2 * 1.4+ 3 *2.4+ 1 * 3.4}{15}\)
Evaluate the sum of products
\(|\bar x|= \frac{27.6}{15}\)
Divide
\(|\bar x|= 1.84\)
Hence, the mean absolute deviation of the number of books is 1.84
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5 t-shirt cost R120.how much will 9t-shirt cost
Step-by-step explanation:
given
5 t-shirts = R120
(5÷5) t - shirt = R(120÷5)
1 t-shirt = R24
(1x9) t-shirts = R(9x24)
= R216
provide answer and explanation for brainly!!
Answer:
C??
Step-by-step explanation:
a says that y is bigger than -3
b says that 13 is less than or equal to y
c says y is smaller than 8
and d says y is equal to or smaller than 8
IM NOT SURE SKSJNSMS
The graph represents the piecewise function: f (x) ={ , if -3
The domain and the range of the function are
Domain = (-∝, ∝)Range = (0, ∝)How to determine the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is a piecewise function
When combined gives an absolute function
The rule of a function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is greater than the constant term
In this case, it is 0
So, the range is y > 0
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Question
The graph represents the piecewise function:
f(x) =
What is the domain and range of the function
A sports ball has a diameter of 25 cm. Find the volume of the ball
V = 8181.2cm^3
Step-by-step explanation:
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?
4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40
Answer:
4p+3≥40
Step-by-step explanation:
find an equation for the surface consisting of all points p for which the distance from p to the x-axis is 3 times the distance from p to the yz-plane.
The surface consisting of all points p for which the distance from p to the x-axis is 3 times the distance from p to the yz-plane.
The equation for the surface consisting of all points p for which the distance from p to the x-axis is 3 times the distance from p to the yz-plane is given by -
x = 3y2 + 3z2
To explain this equation, let us consider a point P(x, y, z) on the surface. The distance from this point P to the x-axis is given by |x|, and the distance from P to the yz-plane is given by √y2 + z2.
Now, the given condition states that the distance from P to the x-axis is 3 times the distance from P to the yz-plane. This can be written as |x| = 3√y2 + z2. By squaring both sides, we get x2 = 9(y2 + z2), which can be rearranged to give the equation x = 3y2 + 3z2.
This equation thus gives the surface consisting of all points p for which the distance from p to the x-axis is 3 times the distance from p to the yz-plane.
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Which of the following shows the correct first step to solve. x^2+12x=72
Answer:
The answer is C
Step-by-step explanation:
The first step to solve the equation is x² + 12x - 36 = 72 - 36. The correct option is A.
A quadratic equation is a polynomial equation of the second degree, where the highest power of the variable is 2.
Among the options you provided, the correct first step to solve the equation x² + 12x = 72 is:
x² + 12x - 36 = 72 - 36
By subtracting 36 from both sides of the equation, you can bring the constant term to the other side, simplifying the equation to:
x² + 12x - 36 = 0
Now you can proceed with solving the quadratic equation using factoring, completing the square, or the quadratic formula.
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Find the 75th term of the following arithmetic sequence 16,25,34,43
Answer:
\(\boxed {\boxed {\sf 682}}\)
Step-by-step explanation:
The nth term of an arithmetic sequence can be found using the following formula.
\(a_n=a+d(n-1)\)
where a is the first term, d is the common difference, and n is the term.
First, we should find the common difference.
We can do this by subtracting each term from the term following it. Basically, subtract the first term from the second term, the second from the third, and so on.
\(d= a_2-a_1\)
The second term is 25 and the first is 16.
\(d= 25-16\)
\(d=9\)
Now we know the common difference is 9. We also know the first term is 16 and we are looking for the 75th term.
\(d=9 \\a=16 \\n= 75\)
Substitute the values into the formula.
\(a_{75}=16+9(75-1)\)
Solve according the PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Solve the parentheses first.
\(a_{75}=16+9(74)\)
Multiply next.
\(a_{75}=16+666\)
Finally, add.
\(a_{75}=682\)
The 75th term in the sequence is 682.
The graph below shows the relationship between the amount of time a ferris wheel has been moving and the height above ground of a seat on the ferris wheel. based on the graph. Which statement best describes why height is a function of time in the relationship?
ANSWER
b. Each value of time has exactly 1 value for height associated with it.
EXPLANATION
A function is a relationship where each value of the function has only one value of the variable associated with that value. In this problem, the function is height and the variable is time, therefore the answer is option b.
Can I get help with this, I’m so confused
The linear and exponential equations for the amount of money in the banks indicates;
TCF Bank Equation
y = 100·x + 1000
Well Fargo Bank Equation
y = (1.06)ˣ
The number of years it will take for both accounts to have the same amount of money is about 17 years
What is an exponential equation?An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.
The equation for calculating the amount in each bank, based on the details are;
TCF Bank;
Amount invested = $1,000
Amount added each year = 100·x
The TCF Bank Equation is; y = 100·x + 1000Well Fargo Bank Equation
The percentage of the amount earned as interest each year = 6% = 0.06
The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ
Therefore; y = 1000·(1.06)ˣ
The Well Fargo Bank Equation is; y = 1000·(1.06)ˣWhen the amount in the two accounts have the same amount of money, we get;
1000·(1.06)ˣ = 100·x + 1000
Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1
(1.06)ˣ = 0.1·x + 1
Solving the above equation using the substitution method and graphing indicates that we get;
x = 0, and x ≈ 17.125732
Therefore, it takes about 17 years for the two accounts to have the same amount of money
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1. A crash repair bill comes to $1380.00. How much is 10% of
the bill? What is the final bill once 10% is taken off?
2. A person buys a new fan belt, a new alternator, and a new water pump for their car. The total comes to $170.50. What is 20% of the total? How much is the final total once the 20% is taken off?
Answer:
1. 10% of the bill is $138. The final bill once 10% is taken off is $1242.
2. 20% of the total is $34.10. The final total once the 20% is taken off is $136.4
Step-by-step explanation:
1. A crash repair bill comes to $1380.00. How much is 10% of the bill? What is the final bill once 10% is taken off?
To find how much is 10% of the bill, we multiply the bill by 0.1
0.1*1380 = 138
10% of the bill is $138.
To find the final bill, we subtract the initial bill by 10%.
1380 - 138 = 1242
The final bill once 10% is taken off is $1242.
2. A person buys a new fan belt, a new alternator, and a new water pump for their car. The total comes to $170.50. What is 20% of the total? How much is the final total once the 20% is taken off?
Same logic as above.
0.2*170.50 = 34.1
20% of the total is $34.10.
170.50 - 34.1 = 136.4
The final total once the 20% is taken off is $136.4
please help me solve this
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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I need help on my homework ASAP!! PLEASE HURRY I HAVE 20 MINUTES
Answer: 10) 18x+21 11) 20 + 30a 12) 8x + 10y
Step-by-step explanation:
Distributive property means to multiply each number within the parenthesis by the number outside of the parenthesis.
10) 3(6x + 7)
3*6x + 3*7
18x + 21.
With that, you should be able to see how the other questions were answered.
(10x^7u-17x^7u^4) ÷ (-2x³u³)
Answer:
(-10x^4+17x^4u^3)/(2u^2)
Step-by-step explanation:
To simplify the expression, cancel common factors from numerator and denominator.
__
\(\dfrac{10x^7u-17x^7u^4}{-2x^3u^3}=\dfrac{x^7u(-10+17u^3)}{2x^3u^3}\\\\=\dfrac{x^4(-10+17u^3)}{2u^2}=\boxed{\dfrac{-10x^4+17x^4u^3}{2u^2}}\)
What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
Answer: {x | x = –4, –1, 3, 5, 6}
Step-by-step explanation:
The domain is the set of x values, which is 3, 6, -1, 5, and -4 in this case.
Answer:
{x | x = –4, –1, 3, 5, 6} its a
Step-by-step explanation:
hope this helps
A pair of shoes that normally sells for $85.00 goes on sale for 35% off. Season thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75. Who is correct and why?
Answer:
Melanie is correct
Step-by-step explanation:
35% of 85 is 29.75 so take that away from the original price and you get 55.25
This means the price will be 55.25$
Answer:
Melanie is correct since 65% of $85.00 is $55.25.
Step-by-step explanation:
The original price of the shoes is $85.00. That is 100% of the price of the shoes since 100% is a whole amount.
The discount on the shoes is 35%.
100% - 35% = 65%
That means the sale price is 65% of the original price. Now we calculate 65% of $85.00.
65% of $85.00 =
= 0.65 * $85.00
= $55.25
Answer: Melanie is correct since 65% of $85.00 is 55.25.
log base 2 of x multipy 1/3 times base 2 of x
Answer:
\( log_{2}(x) \times \frac{1}{3} log_{2}(x) \\ \\ = log_{2}x + log_{2}(x) {}^{ \frac{1}{3} } \\ \\ { \boxed{ \boxed{= log_{2} \{x + ({x})^{ \frac{1}{3} } \}}}}\)
When is buying a house better renting?
Answer:
i dont understand the question
A house and renting depends on your unique circumstances and priorities. These factors and consider consulting with a financial advisor or real estate professional provide personalized guidance based on your situation.
Deciding whether buying a house is better than renting depends on various factors, including your personal circumstances, financial situation, and long-term goals. Here are some considerations to help you evaluate the decision:
Financial Stability: Buying a house typically involves a significant upfront cost, including down payment, closing costs, and ongoing expenses like mortgage payments, property taxes, and maintenance. Ensure you have a stable income and sufficient savings to handle these financial obligations.
Long-Term Plans: If you plan to settle in a specific location for an extended period, buying a house can provide stability and potential appreciation in value. Renting, on the other hand, offers more flexibility if you anticipate changes in your job, family, or lifestyle that may require relocation.
Market Conditions: Assess the local housing market to determine if it favors buyers or renters. Consider factors such as property prices, mortgage interest rates, and rental costs. In some markets, renting may be more affordable than buying, while in others, buying could be a better investment.
Lifestyle and Preferences: Owning a home grants you the freedom to personalize and modify the property to suit your needs. Renting often comes with limitations on making changes. Consider whether homeownership aligns with your lifestyle and if you prefer the responsibilities and benefits of homeownership.
Equity and Investment: Buying a house allows you to build equity over time as you pay down your mortgage, potentially providing a valuable asset in the future. Renting, however, does not offer this opportunity for equity growth.
Maintenance and Upkeep: Homeownership comes with the responsibility of maintenance and repairs, which can incur additional costs and effort. Renting typically shifts these responsibilities to the landlord or property management.
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