Answer:
Positive roots = 1 or 0
Negative roots = 0, 2, or 4
Complex roots = 0, 2, 4, or 6
Step-by-step explanation:
We are given the polynomial:
f(x) = -x⁶ - x⁵ - x⁴ - 4x³ − 12x² + 12
Now, by inspection, the highest degree is 6 and as such the polynomial is therefore a polynomial with more than 2 as a degree.
Applying Descartes Rule of Signs to the polynomial :
f(x) = -x⁶ - x⁵ - x⁴ - 4x³ − 12x² + 12
Signs are: - - - - - +
There is only 1 sign change and thus, it means there is 1 or 0 positive roots
To find number of negative roots, we will use f(-x);
f(−x) = -(−x)⁶ - (−x)⁵ - (−x)⁴ - 4(−x)³ − 12(−x)² + 12(−x)
f(-x) = -x⁶ + x⁵ - x⁴ + 4x³ − 12x² - 12
Signs are: - + - + - -
There are 4 sign changes and thus, it means there are 4, 2 or 0 negative roots
Thus; Complex roots = 0, 2, 4, or 6
What calculation would need to be done to solve the following equation:
2x = 26
Answer:
13
Step-by-step explanation:
Answer:
Divide both sides by 2
Step-by-step explanation:
you need to isolate "x" which has a coefficient of 2 so to get rid of that you divide by two
2x=26
x-13
Identify the constant term in this expression 0.25 + 2x + 4z +0.75y
A) 2x B) 4x C 0.25 D) 0.75y
Answer:
0.25..........................................................
.
Find the distance between the points (-3, -6) and (5,9).
Hint: Use the Pythagorean theorem.
Answer:
The distance between the points (-3, -6) and (5, 9) is 15 units.
Step-by-step explanation:
Given the points
(-3, -6)(5, 9)First, we need to find the distance between the two x-coordinates. For this, we need to count the distance from 0 to another point. Then we just add them together.
i.e.
-3 to get to 0 takes 3 units
0 to 5 takes 5 units
3+5=8 units
Just do the same for y-coordinate
From -6 to 0 takes 6 units
0 to 9 takes 9 units
6+9 = 15 units
Therefore, we get the base and height.
Now using the Pythagoras' Theorem to find the distance:
c² = 8² + 15²
c² = 289
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]c=\sqrt{289},\:c=-\sqrt{289}[/tex]
[tex]c=17,\:c=-17[/tex]
As the distance can not be negative.
so
c = 15 unitsThus, the distance between the points (-3, -6) and (5, 9) is 15 units.
Solve for u
-5(-5u+5)-8u=5(u-5)-4
[tex] - 5( - 5u + 5) - 8u = 5(u - 5) - 4 [/tex]
[tex]25u - 25 - 8u = 5u - 25 - 4[/tex]
[tex]17u - 25 = 5u -29[/tex]
[tex]17u - 5u = - 29 + 25[/tex]
[tex]12u = - 4[/tex]
[tex]u = \frac{ - 4}{12} [/tex]
[tex]u = - \frac{1}{3} [/tex]
The ratio of gifts wrapped in red to gifts wrapped in green is 3:5. If there are 32 total gifts, how many of each are wrapped in red? In green?
Answer:
Step-by-step explanation:
This is probably pretty late, but I'll do it anyway.
There are 8 parts all together.
3x + 5x = 32 Combine the terms on the left.
8x = 32 Divide by 8
8x = 32/8
x = 4
Therefore the red gifts are 3*4 = 12
The green gifts are 5*4 = 20
Total 32 Just as it should
what is 1 1/5 X 3 3/4 ?
Answer:
4.5
Step-by-step explanation:
Given f(x) =5 - 3x, if f(x) = -19, find x
The distance Train A travels is represented by d = 90t, where d is the distance in kilometers and t is the time in hours. The distance Train B travels at various times is shown in the table. What is the rate of each train? Which train is going faster?
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HELPPP ASAPP PLEASEE
Answer:
1 tube of paint = $6
Step-by-step explanation:
check the graph to verify the answer
Serena and Stacey are professional hairdressers who work at two different beauty salons in the city. Serena works for 8 hours and earns $112 Stacey is paid $75 for 5 hours of work. Who makes more money per hour?
Answer:
The answer is stacy.
Step-by-step explanation:
if you do 112 divided by 8 you get 14
if you do 75 divided by 5 you get 15
What are the domain and range of the function represented by the set of
ordered pairs?
K(-10, -6), (-4, -10), (3, 8), (9, -2)}
Answer:
A
Step-by-step explanation:
Domain is the first number in the ordered pairs and range is the second number. (I'm sorry if it's wrong)
Hope it helps!
Help
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Answer:
D. -2/5
Step-by-step explanation:
eric mows 1/5 acre in 1/4 hour. how many acre does paige mow per hour
Answer:
2/3
Step-by-step explanation:
Help plz! ^-^ will give brainliest!
Micheal has a total of 15 bills that are either 1$ bills or 5$ bills. If the total amount of money he has is 47$, how may 5$ bills does he have?
Answer:
Micheal has 8 $5 bills and 7 $1 bills.
Answer:
micheal has 8 5$ bills and 7 1$ bills
Step-by-step explanation:
8 x 5 = 40
7 x 1 = 7
40 + 7 = 47
8 + 7 = 15
Convert 4/16 to a decimal.
0.1
O
0.25
0.5
0.75
Answer:
0.25
How to Solve:
Take the denominator of 4/16 and find a number to make it 10, 100, any one followed by zeroes:
16 x 6.25 = 100
Do the same to the numerator:
4 x 6.25 = 25
Now, take 25 and take a decimal point two spaces to the right:
0.25
The ratio of green counters to blue counters is 4:5 what fraction of the counters are blue
Answer:
5/9
Step-by-step explanation:
The ratio of green counters to blue counters is 4:5 what fraction of the counters are blue
From the above question, we are given the ratio
Green counters: Blue counters
4 : 5
The sum of the proportion = 4 + 5 = 9 counters
Hence, the fraction of the counters are blue is given as 5/9
4 + 1/3. and 4/5 + 1/3
Answer:
4 + 1/3 = 13/3
4/5 + 1/3 = 17/15
Step-by-step explanation:
Brain-List?
Answer:
1.) 4 1/3, 2.) 1 2/15
Step-by-step explanation:
4 + 1/3 is 4 1/3, I got this by adding the fraction to the whole number to make a mixed number. For 4/5 + 1/3, we need to find a common denominator, let's find the LCM (Lowest Common Multiple) of 3 and 5, the LCM is 15. Now, we need to multiply 1/3 by 5/5, and we need to multiply 4/5 by 3/3. This gets us 5/15+12/15. We only need to add the top numbers. This gets us 17/15. Since this is an improper fraction, we need to make it into a mixed number, this gets us 1 2/15. I hope this helps!
Which street is parallel to 2nd St?
A. 1st St.
B. 3rd St.
C. 4th St.
Answer:
it a
Step-by-step explanation:
which numbers are rational A)-4.34
B)0.43222
C)7.234156
Answer:
C
Step-by-step explanation:
The other 2 aren't rational numbers
I am not completely confident in my answer, so lmk if it's right
Georgia bought pears for $6.14. The price of pears is $1.10 per pound. How many pound of pears did she buy? (Round your answer to the nearest hundreths place. )
Answer:
5.58
Step-by-step explanation:
if f(x) = -4x^2 - 5x + 2, what is f(3) ?
does anyone know how to do this geometry problem?
========================================================
Explanation:
Let's start with the exterior angle 116 degrees.
The interior angle adjacent to this will add to 116 and we'll get 180
(interior angle) + (exterior angle) = 180
(angle VWX) + (angle VWY) = 180
(angle VWX) + (116) = 180
angle VWX = 180 - 116
angle VWX = 64
-----------------
Let's focus solely on the interior angles of triangle VWX
We found angle W to be 64. Angle X is given to be 44. Angle V is unknown, but we can solve for it like such
V+W+X = 180
V+64+44 = 180
V+108 = 180
V = 180-108
V = 72
--------------
The three interior angles of triangle VWX are:
V = 72
W = 64
X = 44
This will determine the order of the side lengths from smallest to largest. Recall that the smallest side of a triangle is always opposite the smallest angle. Similarly, the largest side is always opposite the largest angle.
Based on those V,W,X angle values, we know that
WX = longest side (since the angle opposite V = 72 is largest)
VW = shortest side (since X = 44 is the smallest angle and it is opposite VW)
The order of the sides is therefore:
VW < VX < WX
We don't involve point Y because it's not part of the triangle.
Check out the diagram below for a visual summary.
Help plz the problem is in the photo
Answer:
25 = 50%
37.50 = 75%
75 = 150%
Step-by-step explanation:
We know that 50 is 100% so we can work with that.
We also know the percentages increase by 25% for every $12.5.
12.50 + 12.50 = 25
25 + 12.50 = 37.50
62.50 + 12.50 = 75
25 = 50%
37.50 = 75%
75 = 150%
I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Chicken Nuggets.
Eagle Sports Supply had net income of $2,000 on sales this year. The firm paid a dividend of $500 and retained the rest earnings for financing for the next year. Total assets were $100,000, of which $40,000 was financed by debt. The rest were financed by equity.
(a) What is the firm’s internal growth rate?
(b) What is the firm’s sustainable growth rate?
(c) If the firm grows at its sustainable growth rate, how much new debt will be issued in the next year?
Answer:
089908
Step-by-step explanation:
i dont know lol but wana see
1. Find x
2 find ab
3.Find bc
AC = 46
AB + BC = AC
(4x + 7) + (3x + 4) = 46
4x + 7 + 3x + 4 = 46
(4x + 3x) + (7 + 4) = 46
7x + 11 = 46
7x = 46 - 11
7x = 35
x = 35/7
x = 5
AB = 4x + 7
AB = 4(5) + 7
AB = 20 + 7
AB = 27
BC = 3x + 4
BC = 3(5) + 4
BC = 15 + 4
BC = 19
Write the equation of the line that passes through the points
(−7,−3)and (−2,−1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
The equation that passes through (−7,−3)and (−2,−1) is y=2/5x-1/5
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-1)-(-3)/(-2)-(-7)
m=2/5
y-y=m(x-x¹)
y-(-1)=2/5(x-(-2)
y+1=2/5x+4/5
-1 -1
y=2/5x-1/5
Len bought 12.3 ounces of cashews and 15.2 ounces of almonds.
He calculates that if he and four friends share all the nuts equally, each person will receive 5.1 ounces of nuts.
Is his answer reasonable? Use 3-5 complete sentences to explain why or why not.
Answer:A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rsl7.50
Step-by-step explanation:
Answer:
Lens answer is not reasonable because if you do the math she will be able to share 6.875 ounces. I know this because you can add 12.3 and 15.2 to get 27.5. If you divide 27.5 by 4 you get 6.875.
Step-by-step explanation:
Plz i NEED HELP ABOUT TO FINISH THIS CLASS! PLZ
17. Does the following system have a unique solution? Why?
Answer:
last one
Step-by-step explanation:
