Use Descartes rule of signs to complete the chart with the possibilities for the nature of the roots of the equations:A) x^3 -x^2 +4x -6=0B) x^5 - x^3 + x +1=0
Answers
Solution:
(a)
\(x^3-x^2+4x-6=0\)Using Descartes rule of signs;
The first is positive to negative, then negative to positive and lastly positive to negative.
Thus;
It has one positive real root.
Related Questions
A person tosses a coin 19 times. In how many ways can he get 12 heads?
Answers
Answer:
By getting head's 12 times
Step-by-step explanation:
Answer:
11C9 = 55
11! / [9!(11 - 9)!]
39916800 / (362880 * 2)
39916800 / 725760
55
Step-by-step explanation:
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answers
Answer:
histogram
Step-by-step explanation:
4x+x+6=11x-6x+6 what is the value for x
Answers
Answer:
use papamath it will give u the anwers
Step-by-step explanation:
Based on the family the graph below belongs to, which equation could represent the graph?
Answers
where is the graph????
Step-by-step explanation:
find the inverse of each equation
Answers
The inverse of the equation is determined as \(y = \log_{6}(-3x)\).
option D is the correct answer.
What is the inverse of the equation?The inverse of the equation is calculated by applying the following method;
The given equation;
y = - 6ˣ/3
The inverse of the equation is calculated as;
multiply through by 3
\(-3x = 6^y\)
Take the logarithm of both sides of the equation with base -6:
\(\log_{6}(-3x) = y\)
Finally, replace y with x to obtain the inverse equation as follows;
\(y = \log_{6}(-3x)\)
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The graph shows the relationship between time and the distance a train travels.
What is the slope of the line?
?
Distance (mi)
200
150
100
50
0
ہے
Time (h)
3
Answers
Answer:
50
Step-by-step explanation:
i got it correct on the iready quiz
The graph of the line does not change except only in the y - intercept. The slope of the line remains same.
What is the general equation of the straight line? What is a mathematical function, equation and expression?straight line equation : The general equation of a straight line is -y = mx + c
[m] : slope of line.
[c] : y - intercept
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a graph that shows the relationship between time and the distance a train travels.
From the graph, we can write the coordinates as -
(1, 60) and (2, 120)
So, we can write the slope of the line as -
m = (120 - 60)/(2 - 1)
m = 60/1
m = 60
Therefore, the slope of the line given in the graph will be 60 miles/hr.
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An investment website can tell what devices are used to access the site. The site managers wonder whether they should enhance the facilities for trading via "smart phones" therefore they want to estimate the proportion of users who access the site that way. They draw a random sample of 200 investors from their customers. Suppose that the true proportion of smart phone users in 36%. What is the probability that the sample proportion is between 0.30 and 0.40? Hint: You'll need to find one z-score for 0.30 and another for 0.40. Then find the area between the two z-scores.
Answers
Answer:
0.8418
Step-by-step explanation:
We have p = 0.36
Sample size = 200
We have to find the standard error of proportion
= √p(1-p)/n
= √0.36(1-0.36)/200
= 0.034
P(0.30<p^0.40)
= 0.30-0.36/0.034 = -1.76,
0.40-0.36/0.034 = 1.18
P(-1.76<z<1.18)
When we go to the standard normal distribution table
P(z<1.18) = 0.8810
P(z<-1.76) = 0.0392
0.8810 - 0.0392
= 0.8418
This is the probability of the sample proportion being between 0.30 and 0.40
suppose we have a card with apr of 30% the mininum payment is 8% of the balance suppose we have a balance of 400 on the credit card we decide to stop charging and pay it off by making the monthly payment each month
Answers
The total amount paid in the first month would be $32 for the minimum payment plus $9.20 for the interest, totaling $41.20.
If you have a credit card with an annual percentage rate (APR) of 30% and a minimum payment requirement of 8% of the balance, and you have a balance of $400 on the credit card, you decide to stop charging and pay it off by making the minimum monthly payment each month, here's how it would work:
The minimum monthly payment would be 8% of the balance, which is 0.08 x $400 = $32.
Each month, you would make a payment of $32 towards your credit card balance. However, keep in mind that the interest will continue to accrue on the remaining balance.
Since the APR is 30%, the monthly interest rate would be 30% / 12 = 2.5%.
To calculate the interest charged each month, you multiply the remaining balance by the monthly interest rate. For example, after the first payment, the remaining balance is $400 - $32 = $368. The interest charged for that month would be 2.5% x $368 = $9.20.
Therefore, the total amount paid in the first month would be $32 for the minimum payment plus $9.20 for the interest, totaling $41.20.
Each month, you would continue making the minimum payment, and the interest charged would be based on the remaining balance. The process would continue until the balance is paid off in full.
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Which correctly shows the substitution step for the system?
y = x - 4
-4x - 6y = -16
O x-4 = -4x-6y
-4(x-4) - 6y = -16
O-4x-6(x-4) = -16
6y = x - 4
Answers
The solution to the system of equations is x = 4 and y = 0. In summary, the correct substitution step for the system is: -4x - 6(x - 4) = -16 .C answer is correct
To solve the given system of equations:
1) y = x - 4
2) -4x - 6y = -16
We can use the substitution method to eliminate one variable and solve for the other.
Step 1: Solve the first equation (1) for y in terms of x.
y = x - 4
Step 2: Substitute the expression for y from equation (1) into equation (2).
-4x - 6(x - 4) = -16
Step 3: Simplify and solve for x.
-4x - 6x + 24 = -16
-10x + 24 = -16
-10x = -16 - 24
-10x = -40
x = -40 / -10
x = 4
Step 4: Substitute the value of x back into equation (1) to solve for y.
y = 4 - 4
y = 0
Therefore, the solution to the system of equations is x = 4 and y = 0.
In summary, the correct substitution step for the system is:
-4x - 6(x - 4) = -16
By substituting the expression for y from equation (1) into equation (2) and simplifying, we obtain the equation -4x - 6y = -16, which can be further solved to find the values of x and y. C answer is correct
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100,000 x $15 ?!!!?!?!?
Answers
Answer:
100,000 x $15 = 1.5 million US$
In a cafeteria,
1/6
of the students are eating salads , and
2/6
are eating sandwiches. There are 12 students in the cafeteria. How many students are eating lunches other than salads or sandwiches
Answers
Answer:
I think 3/6 or 3/12
Step-by-step explanation:
because either way we are adding 1/6+2/6=3/6
Answer:
4 are eating sandwhiches and 2 are eating salads
Step-by-step explanation:
1/6 of 12 is 2 2/6 of 12 is 4
A scientist estimates that there are about 10^24 stars in the universe and that each galaxy has,
on average, approximately the same number of stars as the Milky Way galaxy.
About how many galaxies are in the universe?
Milky Way galaxy: 10 • 10^10 stars
Answers
Answer:
100'000'000'000'000
(trillion gaxies in the universe)
Step-by-step explanation:
10×10^10= 10(10'000'000'000)=100'000'000'000
(hundred billion stars in milky way)
100'000'000'000'000'000'000'000 (hundred sextillion stars in universe)
100'000'000'000'000'000'000'000 / 100'000'000'000= 100'000'000'000'000
(trillion gaxies in the universe)
3 1/8 divided by (x - 4 7/28) = 17/18 + 1 5/6
(Key on how to write the mixed numbers: Three is a whole number and then the fraction is 1/8, 4 is the whole number and 7/28 is the fraction, 1 is the whole number and 5/6 is the fraction)
Please provide the work and the answer! :)
Answers
x = 301/56
Algebraic expressionsAlgebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expression
Given the algebraic expression,
\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)
Step 1:
Simplify the expression by converting the mixed numbers into improper fractions:
25/8 ÷ ( x - 119/28) = 17/18 + 11/6
Step 2: Simplify the right side of the equation
25/8 ÷( x - 119/28) = 17/18 + 33/18
25/8 ÷( x - 119/28) = 50/18
Step 3: Multiply both sides of the equation by (x - 119/28)
25/8 = 50/18 × (x - 119/28)
Step 4: Multiply both sides of the equation by (18/50)
25/8 × (18/50) = (x - 119/28)
Step 5: Simplify the left side of the equation
9/8 = (x - 119/28)
Step 6: Add 119/28 to both sides of the equation
9/8 + 119/28 = x
Step 7: Calculate the value of x:
x = 9/8 + 119/28
= 63/56 + 238/56
= 301/56
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2x-3y-6=0 in slope intercept form step by step
Answers
Answer:
\(y=\frac{2}{3}x-2\)Step-by-step explanation:
A linear function is represented by the following function in slope-intercept form:
\(y=mx+b\)Therefore, to reorganize in slope-intercept form the given equation, isolate y using inverse operations to solve equations;
\(\begin{gathered} 2x-3y-6=0 \\ -3y=-2x+6 \\ y=\frac{-2}{-3}x+\frac{6}{-3} \\ y=\frac{2}{3}x-2 \end{gathered}\)Find two square numbers that total 45
Answers
x^2+^2=45
if ×=3 and y=6
then 9+36=45
A cylinder has a height of 5 feet. Its volume is 1,570 cubic feet. What is the radius of the cylinder? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
The radius of the cylinder is equal to 10 feet.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the given parameters into the formula for the volume of a cylinder, we have the following;
V = πr²h
1,570 = 3.14 × r² × 5
1,570 = 15.7r²
r² = 1,570/15.7
r² = 100
Radius, r = √100
Radius, r = 10 feet.
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Which of the following expressions has a value of 4?
Answers
Answer:
c should be correct (96÷8)-2³
Step-by-step explanation:
Number 10 but I only need help finding the area.
Answers
Given:
We are given this figure.
To find:
The area of the given figure.
Step-by-step solution:
As per the question, It is a trapezoid:
Area of trapezoid = 1/2 × (a + b) × h
Here a and b are lengths of parallel sides.
Area = 1/2 × (a + b) × h
Area = 1/2 × (8 + 27) × 6
Area = 1/2 × 35 × 6
Area = 35 × 3
Area = 105 cm²
Final answer:
The final area of the trapezoid = 105 cm²
if g(×)=ײ-× find g(1÷2)
Answers
answer = 0.5g
Can someone help me with this
|
|
:
)
Answers
Answer:
A: y = 17x
Step-by-step explanation:
Answer:
21 is A
22 is B
Step-by-step explanation:
51 / 3 = 17, which is the cost of 1 hour. That means, in order to find the charge (y), you need to multiply the # of hours (x) by 17. Equation A represents this correctly.
Now that we know this, for question 22, if someone rented a machine for 3.5 hours, to find the charge, multiply 3.5 by 17. This gives you 59.50.
Find the median of the data. 3,5,7,9,11,3,8 The median is...
Answers
Answer:
Step-by-step explanation:3
,
5
,
7
,
9
,
11
,
8
,
3
Arrange the terms in ascending order.
3
,
3
,
5
,
7
,
8
,
9
,
11
The median is the middle term in the arranged data set.
7
Answer:
the median is 7.
Step-by-step explanation:
line each number up in order from least to greatest. it should look like this. 3, 3, 5, 7, 8, 9, 11
on a sheet of paper, cross of the numbers on the ends until you get to the middle.
once you have gotten to the middle you should have one number left which is 7.
because this is a uneven number there will be only one number for the median.
i hope this helped<33.
A figure is shown, where lines CE and FD intersect at point B.
.
A figure is shown, where lines CE and FD intersect at point B.
.
Angle ABC is complementary to angle DBC.
What is the measure, in degrees of ?
Answers
Answer:
Step-by-step explanation:
Its 4.51
Use determinants to decide if the set of vectors is linearly independent. -2 The determinant of the matrix whose columns are the given vectors is (Simplify your answer:) Is the set of vectors linearly independent? A The set of vectors is linearly dependent; because the determinant exists_ 0 B. The set of vectors is linearly independent; because the determinant exists_ O
c: The set of vectors is linearly independent, because the determinant is not zero_ 0
D: The set of vectors is linearly dependent, because the determinant is not Zero.
Answers
The determinant of a matrix is a scalar value that can be used to determine if a set of vectors is linearly independent.
It is calculated by taking the product of the elements in each row or column and subtracting the product of the elements in the other row or column. For example, if we have a matrix with two columns and two rows, A and B, the determinant can be calculated using the following formula: det(A) = (A11*A22) - (A12*A21). If the determinant is equal to zero, then the set of vectors is linearly dependent, as this implies that all of the elements in the matrix are multiples of each other. On the other hand, if the determinant is non-zero, then the set of vectors is linearly independent. This can be seen because all of the elements in the matrix are not multiples of each other and thus the set of vectors cannot be expressed as a linear combination of each other.
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The Leona Vicario school cooperative will deliver to its 96 members this year's profits, which were $5,616. How much will each receive if the division is equitable?
Answers
Answer:
$58.50
Step-by-step explanation:
5616/96
Simplify: 9( 1 - r ) + 3r
Answers
Answer:
9-6r
Step-by-step explanation:
9(1−r)+3r
Use the distributive property to multiply 9 by 1−r.
9−9r+3r
Combine −9r and 3r to get −6r.
Answer: 9−6r
Answer:
-6r + 9
Step-by-step explanation:
9( 1 - r ) + 3r
9 - 9r + 3r
9 - 6r
So, the answer is -6r + 9
If a house has 5 bedrooms 3 bathrooms and 1 kitchen, Garage, and backyard and each area of the house take 7 hours to clean when will you finish cleaning? Reward 30 points.
Answers
Answer:
77 hours
Step-by-step explanation:
5x7= 35
3x7=21
1x7=7
1x7=7
1x7=7
35+21+7+7+7=77
Answer:
77
Step-by-step explanation:
A spinner has 4 equally likely regions numbered 1 to 4. The arrow is spun twice. What is the probability that the spinner will land on a 1 on the first spin and on a 2 on the second spin?
Answers
Answer:
1/4
Step-by-step explanation:
2^4x4^4=2^4x2^n=2^12
Answers
Answer:
don''t knw
Step-by-step explanation:
(2x - 1/2) ^2 please simplify
Answers
Answer: 4x²-2x+1/4
Step-by-step explanation:
Olivia would like to buy some new
furniture for her home. She decides to
buy the furniture on credit with 9.5%
interest compounded quarterly. If she
spent $7,400, how much total will she
have paid after 8 years.