Answer:
Using Descartes' Rule of Signs, we observe whether each consecutive term has a + or - sign:
f(x) = 3x4 − 5x3 − x2 − 8x + 4
Signs are: + - - - +
There are 2 sign changes (from +3 to -5, then from -8 to +4). This means that there are either 2 or 0 positive roots. (We take the number of sign changes, which is 2, and subtract by 2s to get all possible numbers of positive roots.)
For negative roots, we first invert all the odd-powered terms in f(x):
3x4 + 5x3 − x2 + 8x + 4
Signs are: + + - + +
There are 2 sign changes, from +5 to -1, and from -1 to +8. Therefore, there are either 2 or 0 negative roots.
Since the overall degree of f(x) is 4, the total number of roots must sum up to 4. There are either 2 or 0 positive roots, and 2 or 0 negative roots, and everything that remains will be a complex root. The possibilities are:
2 positive, 2 negative, 0 complex
2 positive, 0 negative, 2 complex
0 positive, 2 negative, 2 complex
0 positive, 0 negative, 4 complex.
Therefore we can have either 0, 2, or 4 complex roots.
The correct answer is the last choice.
how to solve improper fractions to mixed numbers with example?
Answer: If it was the other way around I would have helped you
Step-by-step explanation:
e.g.
Verizon charges a $100 initial contract fee, then $70 a month for a basic cell phone plan.
What is the rate of change or slope in this problem?
Write the equation y=mx+b that would fit this problem.
Using a linear function, it is found that the slope of the problem is of $70.
A linear function for a cost is modeled by:
[tex]C(t) = C(0) + at[/tex]
in which:
C(0) is the fixed cost.a is the monthly cost, which is the slope.Verizon charges a $100 initial contract fee, then $70 a month for a basic cell phone plan, then:
[tex]C(t) = 100 + 70t[/tex]
Then, the slope of the problem is of $70.
To learn more about linear functions, you can take a look at https://brainly.com/question/16302622
It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
(a)Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
(b)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
For a;
[tex]P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674[/tex]
For b;
[tex]P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 =\frac{2}{3}[/tex]
If my calculations are incorrect, then sorry ;/
- ❤ 7272033Alt ❤
There are 222 red marbles in a box. Amit takes out 6 red marbles and replaces them with 12 blue
marbles. He continues doing this till all the red marbles are replaced with blue marbles.
Which of the following expressions gives the total number of blue marbles he put in the box?
A (222 + 6) = 12 B (222 - 6) + 12 C (222 - 6) + 12 D (222 + 6) x 12
Answer:
(222 - 6) + 12
Step-by-step explanation:
You put B and C as the same thing but the correct option is this because first you take away 6 (subtract 6) from the 222 marbles then you replace them with 12 (add 12).
(7−2)3×(24−11)? cause im in 6th grade lol
Answer:
(7−2)(3)(24−11)
=(5)(3)(24−11)
=15(24−11)
=(15)(13)
=195
Step-by-step explanation:
28 less than twice a number is equal to 6 . Find the number.
Answer:
x = 17
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is 1/4 + 10/16?
Answer:
[tex]\frac{7}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\ + \frac{10}{16}\[/tex]
[tex]= \frac{4}{16}\ + \frac{10}{16}\\[/tex]
[tex]= \frac{14}{16} \\[/tex]
[tex]= \frac{7}{8}[/tex]
hope it helps :)
mark brainliest!
Explain how to use the distributive property to find an expression that is equivalent to 20+16.
Answer:
Explain how to use the distributive property to find an expression that is equivalent to 20 + 16. First, I would find that the GCF of 20 and 16 is 4. Then, I would divide both 20 and 16 by 4. Last, I would use the distributive property to write the sum as 4(5 + 4).
PLEASE HELP ASAP GOD BLESS YOU If YOU HELP ME IT WILL RAISE MY GRADE
Answer:
Hi i think its option 3 maybe just wait until someone else helps but i say option 3 but gl anyways
Step-by-step explanation:
The following is a conversion table for hours and minutes. Which numbers belong in the hours column?
1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6
Answer:
2,3,4
Step-by-step explanation:
find the value of x
How do I factor this problem?
Answer:
[tex]7x(4x-1)[/tex]
Step-by-step explanation:
First, find the largest integer that divides evenly into both numbers. In this case, 28 and 7 are both divisible by 7.
Next, find the highest degree of the variable that divides evenly into both. Here, that's just x. I'll show another example of that below.
Multiply those together, and you get 7x. That is what we need to factor out. Divide by that factor while multiplying by that factor at the same time to keep the value of the expression equal:
[tex]28x^2-7x\\\\7x(\frac{28x^2}{7x}-\frac{7x}{7x})\\\\7x(4x-1)[/tex]
Another example of what I said above would be this:
Take 4x + 2. The largest integer that divides these is 2, and the highest degree of x that divides them is 0. That is an x⁰, and that is equal to 1. Multiply those, and you just get 2.
[tex]4x+2\\\\2(\frac{4x}{2}+\frac{2}{2})\\\\2(2x+1)[/tex]
How many fifths are there in the fraction 21/5?
Answer:
21
Step-by-step explanation:
1/5 x 21 = 21/5
Suppose your family buys a "movie card" from a DVD
store that entitles you to rent 25 movies. You rent 3
movies per week.
Model the situation with a linear function.
The function that models this given situation is 3x = 25.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, my family bought a movie card from a DVD store that entitles you to rent 25 movies.
Assuming no. of weeks to be x, therefore i can watch movies for
3x = 25 weeks at 3 movies rented each week.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ5
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer: C) Today's soup will taste the same
====================================================
Explanation:
The usual recipe has 9 tomatoes for every 12 bowls. This forms the ratio 9:12.
Divide both parts of the ratio by 12 to end up with 0.75:1
9/12 = 0.7512/12 = 1The ratio 0.75:1 means that there are 0.75 tomatoes for each bowl.
--------------
Then the restaurant updates the recipe to involve 6 tomatoes for every 8 bowls, leading to the ratio 6:8. Divide both parts by 8
6/8 = 0.758/8 = 1The ratio 6:8 is the same as 0.75:1
---------------
We get the same ratio (0.75:1) each time we turn that second number into a 1, which means that each bowl involves the same number of tomatoes. Therefore, the taste should be the same.
Of course the concept of taste is subjective, meaning that the taste could easily vary over time even if you involved the same number of tomatoes. Also, the taste may vary from person to person. However, there should be an objective way to measure the "tomato"ness of each bowl.
cos^2(90)+cos^2(120)+cos^2(135)+cos^2(150)+cos^2(180)
Answer:
97
Step-by-step explanation:
PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.
-2x-6y=50
-2x+9y=-40
Answer:
i think x = -7, y = -6
Step-by-step explanation:
good luck
PLEASE help
xº
520
38°
220°
X = degrees
Step-by-step explanation:
by complete angle
x+38+52+220=360
x+310=360
x=360-310
x=50
Hannah is making cakes for the bake sale at her school. Each cake requires 1 1/2 cups of sugar. How many complete cakes can Hanna make if she has 6 3/4 cups of sugar?
Help please ? :)
Answer:
4
Step-by-step explanation:
Divide 6 3/4 by 1 1/2
Convert into improper fractions, 27/4 and 3/2
[tex]\frac{27}{4} / \frac{3}{2}[/tex]
[tex]\frac{27}{4} * \frac{2}{3}[/tex]
[tex]\frac{9}{2} = 4.5[/tex]
The question asks for the number of whole cakes, so the answer would be 4.
Answer : 4
Step - by - step explanation :
In - order to find out how many cakes Hannah can make we need to find out how many 1 1/2 cups of sugar she has . . .
what is 6 3/4 divided by 1 1/2 --> 6 3/4 divided by 1 2/4 ? 4 1/2
SO ! Hannah can make 4 complete cakes
(3)
Lea wants to make two pillows for her new couch. She needs 3 square yards of fabric for the first pillow and 1, square
yards of fabric for the second pillow. Lea wants to know how much fabric she will have to buy for both pillows.
Which expression represents the total number of square yards of fabric she needs for both pillows?
The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
let
x = first pillow
y = second pillow
fabrics needed for first pillow = 3 yards
fabrics needed for second pillow = 1 yards
z = Total square yards needed
The equation:
3x + y = z
Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
Learn more about equation:
https://brainly.com/question/4916384
Answer:The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
let
x = first pillow
y = second pillow
fabrics needed for first pillow = 3 yards
fabrics needed for second pillow = 1 yards
z = Total square yards needed
The equation:
3x + y = z
Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
Step-by-step explanation:
Heather works 40 hours a week and she earns $11. 50 per hour. When Heather works over 40 hours, her pay is 1. 5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?.
The amount that Heather earns if she works 46 hours in one week is; $563.5
Amount she earns per hour if she works for 40 hours a week = $11.5 per hour
If she works over 40 hours, her hourly pay is 1.5 times the previous rate.
Thus;
Amount she earned for 40 hours is;
11.5 × 40 = $460
Amount she earned for the 6 extra hours to make it 46 hours is;
1.5 × 11.5 × 6 = $103.5
Total amount she earned for the 46 hours = $460 + $103.5 = $563.5
Read more on proportion word problems at; https://brainly.com/question/160640
If triangles ADE and ABC shown in the
figure to the right are similar, what is the
value of x?
Step-by-step explanation:
similar means that (with all angles being the same) the side lengths of one triangle all correlate to the corresponding side lengths of the second triangle by the same factor.
and so, because AD = 2 is 1/3 of AB = 4+2 = 6, we need to apply the same factor 1/3 to x compared to 12.
12 × 1/3 = 4.
so, A is correct.
Dose any one know the answers for geometry A: A semester exam
PLZ I NEED HELP FAST!!
Answer:
Step-by-step explanation:
82 +9=5000 thank me later
please answer!!!!!!!!!!!!!!!!!
Write an equation of a line that is parallel to y = -3x + 5 and passes through (0, 3).
Answer in slope-intercept form
Answer:
A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3. Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.
I think that's the answer
Answer: y = -3x - 3
Step-by-step explanation:
If you are looking for a line that is parallel, then it must have the same gradient
Therefore;
y= -3x +c
And because it passes through (0,3), substitute in the values to find c
3 = -3 x 0 + c
c = 3
So the equations would be y = -3x -3
PLEASE HELP ASAP! I WILL GIVE BRAINLIEST JUST PLEASE HELP
Answer:
38cm squared
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
y=(5/6)x
Step-by-step explanation:
its how much it rises over how much it runs. so it goes up 5 and to the right 6
Answer:
Step-by-step explanation:
The y intercept is 0. The point that holds the y intercept is (0,0)
The slope is
m = y / x
y = 10
x = 12
m = 10/12
m = 5/6
The equation is y = 5/6 x which looks like D
PLEASE ANSWER QUICKLY 100 POINTS!!!! Simplify the expression below. (See picture below) What is the numerator of the simplified expression?
Answer:
13N+26/9n-26/3
Step-by-step explanation:
Answer:
13N+26/9n-26/3
Step-by-step explanation:
Mark as brainliest
What is the function of the line with a slope of 1/5
that goes through the point (-1,5)
3.9 as a improper fraction
Answer:
18/5
Step-by-step explanation:
simple division mm m m k l k obkbono
Answer:
39/10
Step-by-step explanation:
I promise you correct answer ur welcome