Answer:
We conclude that:
2 or 0 positive real roots2 or 0 negative real rootsStep-by-step explanation:
Descartes Rule states that if the terms of a single-variable polynomial with real coefficients are ordered by descending variable exponent, then the number of positive roots of the polynomial is:
Either equal to the number of sign differences between consecutive nonzero coefficients, Or is less than it by an even number.Given the function
[tex]f\left(x\right)=x^4-2x^3-4x^2+2x+3[/tex]
So, the coefficients are 1, −2, −4, 2, 3
As can be seen, there are 2 changes.
This means that there are 2 or 0 positive real roots.
To find the number of negative real roots, substitute x with -x in the given polynomial:
[tex]x^4-2x^3-4x^2+2x+3[/tex] becomes [tex]x^4+2x^3-4x^2-2x+3[/tex]
The coefficients are 1, 2, −4, −2, 3
As can be seen, there are 2 changes.
This means that there are 2 or 0 negative real roots.
Therefore, we conclude that:
2 or 0 positive real roots2 or 0 negative real rootsMr. Robertson's class has a circular garden. The garden has a diameter of 14 feed (ft). What is the corcumference of the garden?
Answer:
Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm .
Step-by-step explanation:
i hope this helps I wish I could see the the choices are options for answers I could help more if I can see your options
jaden buys 1.15 pounds of cheese at the deli counter. If each slice is 0.05 pounds, how many slices of cheese does she buy?
Answer:
23 slices
Step-by-step explanation:
1.15 divided by 0.05=23 slices
what are the steps −2(x+6)=4(2x−12)+2
Answer:
first, you distribute
-2x-12=8x-48+2
then, you combine like terms
-2x-12=8x-46
next, you subtract 8x from both sides
-2x-8x-12=-46
You add 12 to both sides.
-10x=-34
finally, you divide -10 from both sides
x=34/10 or x=17/5
Step-by-step explanation:
Solve for X
CAN ANYONE PLZ HELP ME ASAP?
Answer:
The answer is 1
Step-by-step explanation:
3-4= -1
-1+1= 1
u
Question 5
1 pts
Martin finds a shirt on sale for $18 at a department store. Martin must pay 8.5% sales
tax.
How much does Martin pay in sales tax?
How much does the shirt cost after taxes?
what is 3r³/2r
how do I go about solving it
thanks
Answer:
3r^2 /2
Step-by-step explanation:
r^3 cancels out r in the denominator remaining with r^2 in the numerator.
so 3r^2/2
= 3r^2 /2
Answer:
solving the expression [tex]\frac{3r^3}{2r}[/tex] we get [tex]\mathbf{\frac{3}{2}r^2}[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\frac{3r^3}{2r}[/tex]
For solving exponents in the fraction we can use the exponent rule:[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Applying the above rule and solving:
[tex]\frac{3r^3}{2r}\\=\frac{3}{2}r^{3-1}\\\\=\frac{3}{2}r^2[/tex]
So, solving the expression [tex]\frac{3r^3}{2r}[/tex] we get [tex]\mathbf{\frac{3}{2}r^2}[/tex]
8 Luke has $1,000 to be distributed among two groups equally. Later,
he first part is divided among five children. Write and evaluate an
expression to show how much each child recieves?
c - 4 = -20 can u help me plz?
Answer:
-16
Step-by-step explanation:
when u see c+ -4 you would do the opposite so that would be subtraction so basically-4-20 and that is -16 here is an example when it comes to division: d÷2=3 so that would be 3×2= 6 so then u plug it in to check your work and 6÷2=3 hopes this helps
Answer:
c=-16
Step-by-step explanation:
c-4=-20
c=-20+4
c=-16
what is the value of y? (10y+6) (8y-6) CHECK THE PICTURE FOR THE INFO
Answer:
y = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Definition of a Line: A line is 180°Step-by-step explanation:
Step 1: Set Up Equation
(10y + 6)° + (8y - 6)° = 180°
Step 2: Solve for y
Combine like terms: 18y = 180Divide 18 on both sides: y = 10The table shows a linear function.
x 5 4 3 2 1
0 1 2 3
f x 11 3
5 13 21 29 37 45 53
(a) Determine the difference of outputs of any two inputs that are 1 unit apart. Show your work.
(b) Determine the difference of outputs of any two inputs that are 2 units apart. Show your work.
(c) Determine the difference of outputs of any two inputs that are 3 units apart. Show your work.
(d) What do you notice about the ratios of the differences in the outputs to the input intervals? Explain
your answer.
The ratio of the difference in outputs to the input interval is constant and equal to -8. This indicates that the function is a linear function with a slope of -8.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To find the differences of outputs for different input intervals, we can use the given function and the values in the table.
(a) The inputs that are 1 unit apart are -1 and 0. The corresponding outputs are f(-1) = -3 and f(0) = -11. The difference in outputs is:
f(0) - f(-1) = (-11) - (-3) = -8
Therefore, the difference of outputs of any two inputs that are 1 unit apart is -8.
(b) The inputs that are 2 units apart are -2 and 0. The corresponding outputs are f(-2) = 5 and f(0) = -11. The difference in outputs is:
f(0) - f(-2) = (-11) - 5 = -16
Therefore, the difference of outputs of any two inputs that are 2 units apart is -16.
(c) The inputs that are 3 units apart are -3 and 0. The corresponding outputs are f(-3) = 13 and f(0) = -11. The difference in outputs is:
f(0) - f(-3) = (-11) - 13 = -24
Therefore, the difference of outputs of any two inputs that are 3 units apart is -24.
(d) We can observe that the ratios of the differences in the outputs to the input intervals are constant, indicating that the function is linear. For example:
The ratio of the difference in outputs for inputs that are 1 unit apart to the input interval is:
-8 / (0 - (-1)) = -8 / 1 = -8
The ratio of the difference in outputs for inputs that are 2 units apart to the input interval is:
-16 / (0 - (-2)) = -16 / 2 = -8
The ratio of the difference in outputs for inputs that are 3 units apart to the input interval is:
-24 / (0 - (-3)) = -24 / 3 = -8
Therefore, the ratio of the difference in outputs to the input interval is constant and equal to -8. This indicates that the function is a linear function with a slope of -8.
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5x - 9 = -24 + 10x
O One solution: -33
O One Solution: 3
O No Solution
O Infinite Solutions
Answer:
One Solution: 3
Step-by-step explanation:
5x - 9 = -24 + 10x
Subtract 5x from both sides. -9 = -24 + 5x
Add 24 to both sides. 15 = 5x
Dived 15/5. 3 = x
3х + y 2 – 7
Linear inquality
Answer:
xfgn
Step-by-step explanation:
A pool company is creating an image for a dient that has the look of a 3-D image for a family pool and a similar dop pool. Find the value of x in the drawing below:
Answer:
x = 8
Step-by-step explanation:
Since both pools are similar, it follows that their side lengths are proportional.
Therefore:
[tex] \frac{BC}{FG} = \frac{AD}{EH} [/tex]
BC = 4
FG = 3
AD = x
EH = 6
Plug in the values
[tex] \frac{4}{3} = \frac{x}{6} [/tex]
Multiply both sides by 6
[tex] \frac{4}{3}*6 = \frac{x}{6}*6 [/tex]
[tex] \frac{24}{3} = x [/tex]
8 = x
x = 8
1. The radius equals
units
2. The diameter equals
units
Answer:
radius = 4units
diameter = 8units
Step-by-step explanation:
The radius is the distance from the midpoint of a circle to any point on the side of the circle. In this case, the radius is, 4units. The diameter is twice the radius and is 8 units.
Anyone help pleaseeeeee?
1/2 ( 2p + 9 ) = p + 5 solve equation
The given equation 1/2 ( 2p + 9 ) = p + 5 has no solution.
What is meant by linear equation has no solution?Whenever the two lines are parallel, a system of 2 linear equations in two variables has no solution.
In terms of algebra, this means that when we solve the system, we get such a false equation. On a graph, the lines never intersect because they share the identical slope but distinct y-intercepts.If the equations are inconsistent, a system of linear equations cannot have a solution. This means that no point can fulfill all of the equations simultaneously.As for the given question;
The expression is given as;
1/2 ( 2p + 9 ) = p + 5
Simplifying the equation;
(1/2)×2p + (1/2)×9 = p + 5
p + 9/2 = p + 5
As, the variable 'p is getting cancelled on the both side.
The expression given no solution.
Therefore, the stated linear equation in one variable 1/2 ( 2p + 9 ) = p + 5 does not posses any solution.
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For the graph Y equals 1 find slope of a line that is perpendicular to it in the slope of a line parallel to it
Answer:
The answer is Undefined (∞).
Step-by-step explanation:
The line y = 1 has a slope of 0, and the line parallel to it, for instance, y = 3, has the same slope, m1 = 0. For the slope of the line perpendicular to that parallel line is m2 = -1/m1, which is -1/0 = ∞
Alisa uses her cell phone to search how many pounds of sand will is required to fill 1 cubic foot and finds out the answer is 100 pounds. Choose 1 of the brands and compute how much it will cost Alisa to purchase enough sand to fill the court. identify which brand was chosen as part of your answer. Use the volume formula, V = l x w x h Sand A - 12 dollars per 150 lb, Sand B - 5 dollars per 60 pounds. (Reposting bc i forgot the end which is important to the answer)
The brand of sand chosen by Alisa is Sand A with a total cost of $10,816, instead of Sand B with a total cost of $11,267.
How are the total costs determined?The total costs are determined using mathematical operations and unit conversions.
Firstly, the volume of the court is calculated, using V = l x w x h. The result is converted from cubic feet to pounds at 1 ft³ = 100 lb.
After the conversion, the rest of the calculations carried on the mathematical operations of addition, division, and multiplication.
Data and Calculations:The length of the volleyball court = 52 feet
The width of the volleyball court = 26 feet
The height of the volleyball court = 1 feet
The volume, V = l x w x h
= 52 x 26 x 1
= 1,352 feet³
1 ft³ = 100 lb
1,352 feet³ = 135,200 lb (1,352 feet³ x 100)
Sand A's Cost = $12 per 150 lb
135,200 lb = $10,816 ($12 x 135,200/150)
Sand B's Cost = $5 per 60 lb
135,200 lb = $11,267 ($5 x 135,200/60)
Thus, Sand A, most likely chosen by Alisa, is more cost-effective than Sand B.
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Question Completion:Alisa hopes to play beach volleyball in the Olympics someday. She has convinced her parents to allow her to set up a beach volleyball court in their backyard. A standard beach volleyball court is approximately 26 feet by 52 feet. She figures that she will need the sand to be one foot deep. She goes to the hardware store to shop for sand and sees the following signs on pallets containing bags of sand.
Sand A = 150Ibs = $12
Sand B = 60lbs = $5
Identify which brand was chosen as part of your answer.
choose an equation that best represents the graph.
A. y = x - 3
B. y = -x + 3
C. y = -x - 3
D. y = x + 3
A total if 713 tickets were sold. They were either adult or student tickets. There were 63 more student tickets sold than adult tickets. How many adult tickets were sold
There were 325 adult tickets sold that day student had 388 tickets
So, total no. of tickets = 713
Let the no. of tickets sold to adults be x
Then the no. of tickets sold to student = x + 63
Now, we have the equation as
⇒ x + x + 63 = 713
⇒ 2x = 713 - 63
⇒ 2x = 650
⇒ x = 650/2
⇒ x = 325 tickets
What is an equation?An equals symbol (=) is fundamental in equations. You can think of an equation as having a left-hand side and a right-hand side as there will be a mathematical expression on either side.
Imagine a set of scales to represent an equation. To solve it, each side must be balanced, even if you place different amounts on the left or right.
There is always an unknown in an algebraic equation. A symbol, such as x, y, or z, is used to symbolize this.
Here's an illustration of an equation:
y + 5 = 10
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fixed amount of money carned on a regular basis
line has the equation y=6x +b. What must be the value of b for the line to model a directly proportional relationship
What is the product of -3 1/3 and -8 7/10
Answer:
29
I hope this helps!
Answer:
29
Step-by-step explanation:
Vinnie is 18 years old.What type of number is Vinnie's age? Is it Rational or
Irrational?
Answer: it is irrational
Step-by-step explanation:
Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., P/Q and Q≠0) and irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.
kenia spent 270$ on 6 chairs to find out how much she spent on each chair she did the following work in long division
Answer:
can u put the entire problem so i can help? :)
Step-by-step explanation:
Question:
Kenia spent 270$ on 6 chairs to find out how much she spent on each chair she did the following work in long division.
045
6 / 270
− 0
27
− 24
30
− 30
0
Did she do the problem correctly? Why or why not?
Multiple choice answers:
A. No, because there is a remainder of 0.
B. Yes, she worked the problem correctly.
C. No, because the first digit in the quotient should be 5, not 4.
D. No, because the problem should be 270 / 6.
Answer:
B. Yes, she worked the problem correctly.
Colette made a scale drawing of a house. The scale of the drawing was 7 centimeters = 2 meters. What is the scale factor of the drawing?
The scale factor of the drawing of the house given the scale of the drawing is 1cm : 0.29m.
What is the scale factor?A scale drawing is a smaller image of a larger image or object. The scale drawing is usually reduced at a constant dimension.
The scale factor is the ratio of the dimension of the scale drawing to the original object. The scale factor is the measurement used to convert the larger image into a smaller version of the original object. The scale factor is usually written in this format - 1, a colon (:), then the matching length on the original image. e.g. 1 : 10
Scale factor of the drawing = original dimensions / dimensions of the scale drawing
2 / 7 = 0.29
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In statistical inference for categorical data:___________.
a. Normal data is always a condition for inference.
b. Normal data is never one of the inference assumptions.
c. Normal data or large enough total sample size is one of the inference assumptions.
Answer:
b. Normal data is never one of the inference assumptions.
Step-by-step explanation:
A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.
So, there are two propositions in statistical inference for categorical data
1. That each data in a cell is independent of the others.
2. That samples are randomly drawn.
Thus, there is no room for normality.
On Tuesday Alberto bought 6 hats. On Wednesdqy half of all the hats that he had were destroyed. On Thursday there were only 13 left . How many did he have on Monday? please show steps??
Answer:
He had 20 hats on monday
Step-by-step explanation:
13*2= 26
26-6= 20
I NEED HELPPPP please help me I will give brainiest if correct
Answer:
(-4, 10)
Step-by-step explanation:
first with it you follow the rules 2+2=4
(-7)+-(3)=-10
after since it is reflected off of the y axis they opposite each other meaning that negative = positive, positive=negative
4=(-4)
-10= 10
giving you (-4,10)
For a company picnic, Trisha ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 40 cookies, and 90% of them were gingerbread. How many gingerbread cookies did Trisha get?
Answer:
Easy, the answer is 36
Step-by-step explanation:
40 divided by 0.90 is 44, and 44 minus 8 is 36