It's pretty much simple. Since we can factor a polynomial by its zeros, lets write one of degree nine :
X(X-1)(X-2)(X-3)(X-4)(X-5)(X+1)(X+2)(X+3)= X^9-9X^8+6X^7+126X^6-231X^5-441X^4+944X^3+324X^2-720X
This polynomial is of degree 9 and has exactly 5 strictly positive zeros : 1, 2, 3, 4, 5
And it has 3 negative zeros : - 1, -1, - 3
And it has 0 as a zero too.
There is also this one :
(X-1)(X-2)(X-3)(X-4)(X²+1)(X+1)(X+2)(X+3) = X^9-4X^8-13X^7+52X^6+35X^5-140X^4+13X^3-52X^2-36X+144
It has 4 positive zeros : 1, 2, 3, 4.
It has complex zeros : i and - i
3 negative zeros : - 1, - 2 , - 3
Good Luck
in a supermarket, credit card purchases have an additional charge of 8% of the purchase made. If I bought 2 suitcases that cost s / .165.60 each and paid with a credit card, how much do I have to pay?
9514 1404 393
Answer:
357.70
Step-by-step explanation:
The final cost will be ...
(number of suitcases) × (cost per suitcase) × (1 +8%)
= 2(165.60)(1.08) = 357.70
Which expression represents 81 decreased by an unknown number?
81÷a
81a
81−a
81 + a
Answer:
81 - a
Step-by-step explanation:
Decreased
means to subtract
81 –
by an unknown number
means a variable such as a or x
therefor
81 – a
It takes 6 fruit pickers 18 hours to pick a field of fruit. How long would it take 8 fruit pickers to pick the same field.
Time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.
What is time?" Time is defined as the continues process which help us to measure the period/ length of occurring of event. It does not have any dimensions."
According to the question,
Time take by [tex]6[/tex] fruit pickers to pick the fruit from the field [tex]= 18[/tex]hours
As per the given situation we have,
Time taken by[tex]8[/tex] fruit pickers to pick the fruits of the same field
[tex]=\frac{(6)(18)}{8}[/tex]
[tex]=13.5[/tex]hours
Hence, time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.
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Phil uses the model below to help him with multiple decimals. write a multiplication equation to represent the decimal model.
Multiplication equations can be modeled using decimal models.
The multiplication equation is: [tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]
From Phil model, we have the following highlights
50 boxes are shaded vertically90 boxes are shaded horizontallySo, the multiplication expression is:
[tex]\mathbf{\frac{50}{100} \times \frac{90}{100}}[/tex]
Express as decimals
[tex]\mathbf{0.50 \times 0.90}[/tex]
Multiply
[tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]
Hence, the multiplication equation is: [tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]
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what's the lcm of 24 and 30
Answer:
120
Step-by-step explanation:
The LCM of 24 and 30 is 120. To find the least common multiple (LCM) of 24 and 30, we need to find the multiples of 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . 120; multiples of 30 = 30, 60, 90, 120) and choose the smallest multiple that is exactly divisible by 24 and 30, i.e., 120.
In the coordinate plane, the points A(-8, -6), B(-9, 11), and C(3. - 7) are reflected over the y-axis to the points A, B, and C', respectively. What are the coordinates of A' B', and C'?
Answer:
A' = (8,-6)
B' = (9,11)
C' = (-3,-7)
Step-by-step explanation:
When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.
а (b) Two ovens are used to bake banana cakes and chocolate cakes. Each oven will ding according to its setting time. A banana cake takes 50 minutes to bake wbile a chocolate cake takes 45 minutes to bake.
(i) If each cake is put into the ovens at the same time, what is the time taken until both ovens ding simultaneously?
(ii) When the both ovens ding, how many banana cakes and chocolate cakes are baked?
Answer:
(b)(i) LCM of 45 and 50 = 450
Hence, it take 450 minutes until both ovens ding simultaneously.
(b)(ii) 450÷50=9 banana cakes baked
450÷45=10 chocolate cakes baked.
The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as seen from a point 47 ft farther from the pole. Find the height of the pole above the level of the observer's eyes. 10) A) 34 ft B) 86 ft C) 60 ft D) 45 ft
The height of the pole above the level of the observer's eyes is 31.42 ft
Let the angle of elevation of the top of the pole from a point 47 ft away be α.
Let the angle of elevation of the top of the pole from the point 13 ft away be β.
Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.
If the height of the pole above the level of the observer's eye is h, we have that
tanβ = tan2α = h/13 and tanα = h/47
From trigonometric identities tan2α = 2tanα/(1 - tan²α)
Substituting the values of the variables into the equation, we have
tan2α = 2tanα/(1 - tan²α)
h/13 = 2h/47 ÷ [1 - (h/47)²]
Dividing through by h, we have
1/13 = 2/47 ÷ [1 - (h/47)²]
Cross-multiplying, we have
1/13 = 2/47 ÷ [1 - (h/47)²]
1 - (h/47)² = 2/47 × 13
1 - (h/47)² = 26/47
(h/47)² = 1 - 26/47
(h/47)² = (47 - 26)/47
(h/47)² = 21/47
Taking square-root of both sides, we have
h/47 = √(21/47)
Cross-multiplyng, we have
h = √(21/47) × 47
h = √(21 × 47)
h = √987
h = 31.42 ft
The height of the pole above the level of the observer's eyes is 31.42 ft
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[(3 x 8) + 2?] + 6 - 2 Write out the steps Jayden will have to take in the yellow box? what are the steps?
Answer:
[(3*8)+2]+6-2
PEMDAS
There are parentheses so solve what is in them
3*8=24
[24+2]
26+6-2
Do the addition
32-2
30 is your answer
30 steps
help extremely quick plsssssssssssssssssssssssssssssssssss
Select all the expressions that have a value of 180 when b = 4.
A. 87b - 179 + 957 ÷87
B. 33b/12
C. b² + 120
D. 51b - 24
E. 11b + 187 - 2,756 ÷ 13
Answer:
A and E
Step-by-step explanation:
It took the Selby family hours round -trip to drive from their house to their beach house 154 miles away . Find their average speed . 5 1/2
Step-by-step explanation:
Distance = 154 miles .
Time = 5 ½ hrs .
We know ,
Speed = s / t
v = 154 mi/ 5.5 hrs = 28 mi / hr
How many eggs are 5dozens
Answer:
60
Step-by-step explanation:
1 dozen=12 eggs. 12 ×5=60
Answer:
60
Step-by-step explanation:
dozen=12
5x12=60
PLS HELP GRADIENT FIRST TO ANSWER GETS BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
For a;
The answer will be 3
For b;
The answer will be -4
Step-by-step explanation:
To find the gradient of the lines, you must pick 2 points on the line and then find [tex]dy/dx[/tex]
I hope this helped!
Can I have brainliest?
Have a great day/night/afternoon!
- ❤ 7272033Alt ❤
I’ll mark you brainliest if you help me answer 1-9 (no bs)
Answer:
1. 0
2. undefined
3. 0
4. 0
5. undefined
6. undefined
7. undefined
8. 0
9. 0
Step-by-step explanation:
Someone please help...I hate IXL smh
Answer:
The slope is 10.
Step-by-step explanation:
It starts at 30, then 40, then 50 and so on so forth.
That being said the answer is 10.
Also, I hate IXL as well, but, I hope I helped.
Let me know if I got it correct.
- Abigail (:
y=x+30 is the equation of the line in slope intercept form.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The points through which the line passes is (0,30) and (20,50).
Slope = 50-30/20-0
=20/20
=1
Now let us find the y intercept.
Let us consider any point (0, 30).
30=1(0)+b
b=30
Hence, y=x+30 is the equation of the line in slope intercept form.
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what does (-x)+(-x)+(-x)=
Answer: -3x
Step-by-step explanation:
(-x)+(-x)=-2x
-2x+(-x)=-3x
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box.
°F
Answer: 33.5
Step-by-step explanation:
the answer is: 58.95
i took the test
10. Is it possible for a regular polygon to have 240° as the measure of each of its interior
angles?
Step-by-step explanation:
No, it is not possible for a regular polygon to have 240° as the measure of each of
its interior angles.
according to the formula:
A = 180 - (360 /n)
where A is the interior angle
therefore, the A could be less than 180°
PLEASE HELP BRAINLIEST TO THE RIGHT ANSWER!!!!!
A 7.8 kg object is suspended by a string from the ceiling of an elevator. The acceleration of gravity is 9.8 m/s^2.
A. Determine the tension in the string if it is accelerating upward at a rate of 1.5 m/s^2. Answer in units of N.
B. Determine the tension in the string if it is accelerating downward at a rate of
1.5 m/s^2
Answer:
88.14 N
64.74 N
Step-by-step explanation:
What are equivalent ratios for 32/8
Hey there!
32/8
= 32 ÷ 8 / 8 ÷ 8
= 4 / 1
Therefore, your answer should be: 4:1 or 4/1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find the mid point or these coordinates
(-2,-7) and (6,9)
select the correct response
(4,2)
(1,2)
(2,1)
(2,4)
Answer: (2,1)
Step-by-step explanation:
If f(x) = 4x + 3x2 + 1, then what is the remainder when f(x)
is divided by X -2?
Answer:
remainder = 21
Step-by-step explanation:
If f(x) is divided by (x - h) then the remainder is f(h)
Here f(x) is divided by (x - 2) with h = 2 , then remainder is
f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21
As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation. a. causal b. zero c. positive d. negative
When the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases, this implies a negative correlation.
Negative correlation simply means the relationship between two variables where as one variable increases, the other variable will reduce.
Therefore, in a situation where the average daily temperature in New York City decreases and the number of persons who are observed wearing sweaters in the workplace increases, this illustrates a negative correlation.
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3^9 times 3^7 in exponential form
Answer:
3¹⁶
Step-by-step explanation:
While adding numbers with exponents, if the base of the numbers is same, then it will also be the same in the final answer and the exponents add
Hope this helps!
Answer:
You can just add the exponents power
9+7=16
So its 3^16 in exponential form
You can think of it like this.
for 3^9 its
3*3*3*3*3*3*3*3*3
And for 3^7 its
3*3*3*3*3*3*3
Now your multiplying them all together.
Really your jsut adding the value so in the end
3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
So its
3^16
A roller coaster can take 209 passengers around the track in 11 minutes. How many passengers can the roller coaster take around the track per minute?
What is 26 out of 100 expressed as a ratio in simplified form?
26:100
..............................
26 percent in simplest form is the fraction 13/50. Since 'percent' means 'per hundred,' 26 percent would be equivalent to the fraction 26/100.
Glen invited 25 people to his birthday party.
20 people attended the party and 5 people did not attend.
What percent of the people whom Glen invited did not attend the party?
Answer:
20% of the invited people did not attend
Step-by-step explanation:
5 out of 25 people invited didn't attend Glen's party. That means the following:
[tex]\frac{5}{25}[/tex] people didn't come which simplifies to [tex]\frac{1}{5}[/tex]
Multiply [tex]\frac{1}{5}[/tex] by the giant one [tex]\frac{20}{20}[/tex] so the denominator is 100 which is the denominator used to find percentages.
You end up with [tex]\frac{20}{100}[/tex]
[tex]\frac{20}{100}[/tex] = 20%
20% is the percentage of the people whom Glen invited did not attend the party.
To find the percentage of people who did not attend the party, we will divide the number of people who did not attend (5) by the total number of people invited (25), and then multiply by 100.
Percentage = (Number of people not attended / Total number of people invited) × 100
Percentage = (5 / 25) × 100
Percentage = 20%
So, 20% of the people whom Glen invited did not attend the party.
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On the unit circle, where 0 less-than pi, when is tangent theta undefined?
Theta = pi and Theta = 2 pi
sine theta = cosine theta
Pi = StartFraction pi Over 2 EndFraction and Pi = StartFraction 3 pi Over 2 EndFraction
sin theta = StartFraction 1 Over cosine theta EndFraction
Answer:
Option 3
Step-by-step explanation:
As tanθ = sinθ/cosθ, tanθ will have a problem when cosθ goes to zero.
cosθ is at 0 when θ = π/2 and at 3π/2
Answer:
c
Step-by-step explanation:
c
Which expression is equivalent to 3.5 B +4.5+0.5 B -0.5-1.5 B?
Answer:
+4.5B+0.5B-1.5B+0.5‐0.5+0.5
Harley has 60 beads. There are 11 beads that are NOT round. The rest are round. How many round beads does Michelle have?
Help please
Answer:
49
Step-by-step explanation:
If there's 60 beads in total and 11 are round and the rest aren't all you have to do is subtract 11 from 60.
Like This: 60-11=49
To check your answer you can add them to see if you get 60. Like this: 11+49=60