Answers
The degree of the given polynomial is 4.
What is the polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.
The given polynomial is y=3x²-7x⁴+5-9x.
a) The polynomial in standard form is -7x⁴+3x²-9x+5.
b) The degree of the polynomial is 4.
c) The number of terms in the polynomial are 4.
d) Use the degree and the leading coefficient to determine the behavior.
Falls to the left and falls to the right
e) Use the derivative to find the maximum and minimum.
(−0.78859507, 11.25584002) is a local maxima
f) Here the y-intercept is (0, 5)
g) The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x≈−1.33755842,0.5797309.
h) Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),{x|x∈R}
i) Range: (−∞,11.25584002],{y|y≤11.25584002}
Therefore, the degree of the given polynomial is 4.
To learn more about the polynomials visit:
brainly.com/question/20121808.
#SPJ1
Related Questions
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit.
What are the slope and y-intercept of the line that models this situation? I
Answers
The slope and the y-intercept of the given data table will be option A) Slope= -0.0018, y-intercept = 212
The y-intercept of any linear equation is the point at which the line or the curve intersects the vertical i.e the Y- axis.
To find this intercept, the value of x is taken to be 0 in the model, since on the Y-axis, the value of x is 0.
Here from the given table, we need to check the boiling point or the value of Y for which the value of the altitude or the x value is 0
Hence we get the y-intercept as 212° F.
Now, the formula for slope
= change in y/ change in x
here we will take any two data rows and divide the difference in boiling points by the difference in altitudes.
Taking the first 2 rows gives us
Slope = -0.9/500
= -0.0018
Hence we choose option A) Slope = -0.0018, y-intercept = 212
To learn more about Coordinate Geometry visit
https://brainly.com/question/26650346
#SPJ4
Complete Question
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y-intercept of the line that models this situation?
A. Slope= -0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
Write and solve an equation to find what fraction of the student f voted for fruit juice or water
Answers
If [tex]\frac{1}{4}[/tex] of fruit punch is pineapple juice. About [tex]\frac{1}{6}[/tex] of the fruit punch is orange juice, then fraction of punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .
The fraction of pineapple juice in fruit punch is = [tex]\frac{1}{4}[/tex] ;
the fraction of orange juice in fruit punch is = [tex]\frac{1}{6}[/tex] ;
the equation that can be used to find the fraction of fruit punch that is pineapple juice or orange juice is
⇒ [tex]Frcation Of (Pinapple Juice +Orange Juice)[/tex]
substituting the values ,
we get the equation as ;
⇒ [tex]\frac{1}{4} +\frac{1}{6}[/tex]
taking LCM as 4 and 6 as 12 and solving further ,
we get ;
⇒ [tex]\frac{3}{12} +\frac{2}{12}[/tex] ; = [tex]\frac{5}{12}[/tex] .
Therefore , the fraction of fruit punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .
The given question is incomplete , the complete question is
About 1/4 of fruit punch is pineapple juice. About 1/6 of the fruit punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice .
Learn more about Fraction here
https://brainly.com/question/21502892
#SPJ4
how to get the Y intercept when you don't have a 0 X coordinate?
Answers
Answer: You plug in y as 0 into your equation.
Step-by-step explanation:
Do the above thing OK.
HELP ME HELP ME PLEASEEEE I NEED QUICK
Answers
Answer:
<ABC and <CB both add up to 90 degrees and fit in the angle <ABD so they could be 45 degrees, or one could be 20 degrees while the other is 70, they just have to add up to 90 degrees
Step-by-step explanation:
2) The length of the road is 600 miles. If 1 inch represents 30 miles, what is the
length of the road?
Answers
Answer:
Are you asking for it from miles to inches?
If so it would be 20
Step-by-step explanation:
600/30=20
Hope this helps <3
Answer:I think it would be 20 inches that is if your supposed to do 600÷30
Step-by-step explanation:uhh I hope this is right good luck tho
GIVE THIS ANSWER FAST I WILL GIVE BRAINLIEST
Q IF 2X^3+AX^2-BX-15 HAS 2X+3 AS A FACTOR AND LEAVES A REMAINDER -5 WHEN DIVIDED BY(X-1),FIND THE VALUES OF A AND B
Answers
Answer:
could you just give the
Step-by-step explanation:
equation so I could try to solve it
Sara put her dog on a diet and kept track of his weight. At the end of 4 weeks,
she recorded her dog's weight change as -3 1/2 pounds. She noticed her dog lost
the same amount of weight each week. What is the dog's weight change each
week of the diet?
Answers
Answer:
Weight change per week = -0.875 or -7/8
Step-by-step explanation:
Sara recorded her dog's weight change as -3.5 pounds after 4 weeks of dieting. We know the weight loss is consistent each week, so we need to find out how much the dog loses in one week.
To find out the weight change per week, we can use the formula:
Weight change per week = Total weight change / Total number of weeks
Plugging in the known values:
Weight change per week = -3.5 / 4
Weight change per week = -0.875
The dog loses 0.875 pounds each week.
or -0.875 pounds is the weekly weight change of the dog during the dieting period.
What is another name for angle 1?
∠JNL
∠N
∠MNK
∠NLJ
Answers
Answer: JNL
Step-by-step explanation: We can give angle 1 another name by using 3 letters which include the letter of the vertex point in the middle, and two other letters of the two rays that meet at the vertex point.
help me pls !!!!!!!!!!
Answers
Answer:
c and d
Step-by-step explanation:
pls help ASAP what do I put in the box (question is in screenchot)
Answers
Answer:
where is the question????
Answer:
where
Step-by-step explanation:
What’s the equation to find angles in a parallelogram
Answers
I’m pretty sure that’s what it is(?).
8. Which of the following expressions is a factored form
expression 3x
2 − 10x − 8 ?
a. (3x-4)(x+2)
b. (3x-2)(x-4)
c. (3x-2)(x+4)
d. (3x+2)(x-4)
e. (3x+4)(x+2)
Answers
Answer:
D
Step-by-step explanation:
(3x+2)(x-4)
3x^2-12x+2x-8
3x^2-10x-8=0
please help! i've tried to solve it but not getting the right answer
Answers
Answer:
Sorry I don't know this one, I got 5.32
Step-by-step explanation:
which function is equal to -1/2?
Answers
B is equal to .866
C is equal to 1/2
D is equal to -.866
Therefore your correct answer is c
Can someone solve this rational equation and plz don’t link files
Answers
r=13/2
After I solved it it was kinda easy
Answer:
r=13/2
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
4
Step-by-step explanation:
slope, m = (y₂ - y₁)/(x₂ - x₁)
plug in the values, and we get m = (3 - (-1))/((3 - 2) = 4
As x increases by 1, y increases by 4.
-1
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Is a log graph increasing or decreasing?
Answers
A log graph can be either increasing or decreasing, depending on the function or data being graphed.
A log graph is a type of graph that displays the data on a logarithmic scale. That is, the values of the data are represented on a logarithmic scale, rather than on a linear scale. This type of graph is useful for displaying data or functions that span a wide range of values over a large range of exponents. The direction of the graph depends on the data being graphed or the function being shown. If the values of the data or the function being graphed increase over time, then the graph will be increasing. Conversely, if the values of the data or the function being graphed decrease over time, then the graph will be decreasing.
Learn more about graph here
https://brainly.com/question/17267403
#SPJ4
Question content area top Part 1 Without using paper and pencil, how would you find the sum of 8.8 and 5.5 and ?
Answers
The sum of 8.8 and 5.5 is 14.3
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
To find the sum of 8.8 and 5.5 without using pen and pencil:
First, we break the term in simple manner.
8.8 = 8 + 0.3 + 0.5
And 5.5 = 5 + 0.5
And now adding the terms one by one,
0.5 + 0.5 = 1.0
0.3 = 0.3
8 + 5 = 13
Addition,
13 + 1 + 0.3 = 14.3
Therefore, the value is 14.3
To learn more about the addition;
brainly.com/question/29464370
#SPJ1
( NO LINKS- ) What is the VOLUME of this prism? *
A. 34 inches squared
B. 180 inches cubed
C. 1080 inches cubed
D. 900 inches squared
Answers
Answer:
1080
Step-by-step explanation:
the formula for finding volume is
length x width x height
so 12 x 15 x 6 which is 1080.
Write the expression in expanded notation for (-3 power of 5)
Answers
Step-by-step explanation:
A. Base = (-3)
B. Exponent = 5
C. (-3)^5
= (-3) × (-3) × (-3) × (-3) × (-3) (In expanded notation form)
D. Evaluation of equation will be = -243
For each graph, determine whether x and y are proportional.
If r and y are proportional, fill in the blank with a number in simplest form.
Graph 1
Graph 2
Graph 3
HELP PLEASE
Answers
Jack split 25 jellybeans between his brother and himself so that his brother has one more than twice the number Jack has. How many jellybeans does each have?
Answers
And his brother has 17
Answer:
Jack has 8 and his brother has 17
Step-by-step explanation:
j = # jack has
b = # brother has
j + b = 25
b = 1 + 2j (brother has one more than twice the amount jack has)
j + 1 + 2j = 25
3j = 24
j = 8
b = 25-8 or 17
In a television survey, 4 out of 5 people liked comedy shows more than reality shows. If 6,000 people were surveyed, how many people preferred comedy shows?
Answers
Answer:
4,800
Step-by-step explanation:
6,000/5
1,200x4
4,800
Question 3
Determine if this statement is always, sometimes, or never true.
If a < 0, then |a| = -a
Answers
Answer:
the answer is neither
Step-by-step explanation:
An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative. Zero is neither positive nor negative. Two integers that are the same distance from the origin in opposite directions are called opposites.
f(x) and g(x) below, find the value of (fog)(-8).
f(x) = 3x²-3x - 8
g(x) = -x - 7
Answers
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
Function: A DefinitionA function is a relationship between a collection of sources or one product for each input. Simply described, a function is a group of equations linked to a single, distinct output. A declaration, rule, or law that specifies the relationship between two variables is known as a function in mathematics (the dependent variable). When a rules of this kind is employed, there is just one output. by photographer Alex Federspiel. This sentence provides a y=x2 example. Any input for x has only one output for y. Since x is indeed the input value, y is, by definition, a function of x.
Here,
Given :
f(x) = 3x²-3x - 8
g(x) = -x - 7
To find : fog)(-8)= ?
Thus,
We find
=> F(g(x)) => 3g(x)² -3g(x) - 8
=> f(-x-7) =3⋅(-x-7)²-3⋅(-x-7)-8
At x =-8
=> 3(-8-7)² - 3(-8-7)-8
=> 3(225)-3(15) -8
=> 675 - 45 -8
=> 622
Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.
To know more about function visit :-
brainly.com/question/12431044
#SPJ1
The size of each exterior angle in a regular polygon is 15°. Work out how many sides the polygon has.
Answers
how many 1/4 are in 6
Answers
Answer:
24
Step-by-step explanation:
To answer this you simply need to divide 6 by 1/4
or
6÷1/4
which is also equivalent to 6*4
this will get you 24
simplify (2√2+3√5) square 2
Answers
Answer:
The answer is 22.4
Need help ASAP! due soon
Answers
Answer:
y= 2x
Step-by-step explanation:
no y cause the y-intercept is 0, so just y=2x
and i got 2 from dividing 24/12 and 48/24 giving me the x.
Answer:
Step-by-step explanation:
Two points on this line are (36, 72) and (0, 0). These are 'nice' points in that they are exactly at the intersection of grid lines.
The slope can be found immediately from (36, 72) if the other point is (0, 0):
m = rise / run = 72/36 = 2
Adapting the slope-intercept formula y = mx + b, and using the point (0, 0), we get 0 = 2(0) + b, which tells us that b = 0. Then the equation of the line in this graph is y = 2x.
A taste test asks people from Texas and California which pasta they prefer brand A or brand B. This table shows the results. Brand A Brand B Total 125 150 105 275 45 Texas California Total 80 90 170 60 A person is randomly selected from those tested. What is the probability that the person is from California, given that the person prefers brand A? Round your answer to two decimal places
Answers
Therefore , the solution of the given problem of probability comes out to be thus brand A is more prefer by the person as probability of B IS 0.43.
Define probability.A probability is a number that represents the likelihood that a certain event will occur. Probabilities may be expressed as percentages
range from 0% to 100% or from 0 to 1.
Here,
Given :
Which brand of pasta do Texas and California prefer
Because brand B is preferred by 45 persons in Texas, the answer would be A.
There are 105 persons that favor brand B overall.
=> 45/105
=> 15/ 35
=> 0.42857...
So ,
rounded it would be 0.43,
thus brand A is more prefer by the person
Therefore , the solution of the given problem of probability comes out to be thus brand A is more prefer by the person as probability of B IS 0.43.
To know more about probability visit:
brainly.com/question/30034780
#SPJ4