The polynomial function f(x)=−x^3−x^2+4x+9 has one positive zero. Between what integers does this positive zero occur?
Answers
Answer:
between 2 and 3
Step-by-step explanation:
Positive rational roots will be one of 1, 3, or 9. The sum of coefficients is ...
-1 -1 +4 +9 = 11
this tells us the root is greater than 1.
We can try f(3) to see if that is a root:
f(3) = ((-3 -1)(3)+4)(3) +9 = (-12 +4)(3) +9 = -24 +9 = -15
This tells us the root is between 1 and 3. In order to narrow it further, we need to find f(2).
f(2) = ((-2 -1)(2) +4)(2) +9 = (-6 +4)(2) +9 = 5
The sign of the function changes between f(2) > 0 and f(3) < 0, so the root is between the integer values 2 and 3.
__
Additional comment
An iterative solution finds the irrational root to be near 2.34417122935.
Answer: between 2 and 3 Step-by-step explanation: Positive rational roots - 1
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First question
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Related Questions
what is the result of 8 divided by 3/8
Answers
Answer:
21 \(\frac{1}{3}\)
Step-by-step explanation:
Don't really know how to explain this over a computer, other than use a calculator.
Hope that this helps!
Explanation:
Quite hard to explain but I did it but dividing 8 and 3 and and multiplying that answer by 8.
Manu borrowed Rupees 8500 at the rate of 5% interest per annum for 150 days. Find the interest and amount he paid
Answers
Answer:
See below
Step-by-step explanation:
5% interest = .05 :
8500 x .05 x 150days /365 days/year = R 174 .66 = interest......
then amount to be paid = 8500+ 174.66 = R 8674.66
Caroline wants to buy a pair of shoes that has an original price of $50.00.She has a coupon for 40% discount off of the original price.Her state charges an 8% tax on the discounted price.What is the final cost for Caroline's shoe's?
Answers
Answer:
$31.60 would be the final price
Step-by-step explanation:
Answer:
32.40
Step-by-step explanation:
what is the answer i need answers now like right now
Answers
Answer:
middle option: 2(f + 5)
Step-by-step explanation:
The distributive property states that:
A(B + C) = AB + AC
Therefore,
2f + 10
= 2f + 2(5)
= 2(f + 5)
Answer: 2(f+10)
Step-by-step explanation:
Find the value of: 24/25 divided by 4/5
Type mixed numbers like this: WholeNumber numerator/denominator
type the whole number then a space...then type the numerator, a slash, and the denominator WITH NO SPACES between each part.
Type fractions like this: numerator/denominator
type the numerator, a slash, and the denominator WITH NO SPACES between each part
Answers
Answer:
1 1/5.
Step-by-step explanation:
To divide a fraction by another fraction you have to change the equation like "Keep, Switch, Flip".
For the problem 24/25 ÷ 4/5,
You KEEP the first fraction as is, so 24/25
Then, you SWITCH the sign from division to multiplication.
Finally, you FLIP the second fraction upside down, (the reciprocal). So it's 5/4.
The equation is now 24/25 * 5/4, which we can just multiply the numerators and denominators. (or cross cancel first)
24 * 5 = 120
25 * 4 = 100
the fraction is 120/100. Simplified, it can be divided by 10 to make 12/10, and finally divided by 2 to make 6/5, or 1 1/5.
Eighth grade A.2 Divisibility rules VW5
You have prizes to rev
There are 86,784 fish in a hatchery, which are divided evenly among the ponds. How many
ponds could there be at the hatchery?
Select all the possible numbers.
3
6
4
2
Submit
Type here to search
OC
,C
Answers
Answer:
3, 6, 4, 2
Step-by-step explanation:
The factors of 86784 are :
1 * 86784
2 * 43392
3 * 28928
4 * 21696
6* 14464
Using a proportion, how can we find 12% of 125? Please show your proportion set up and all work. HELP ME ASAPPPPPPPPP THE CORRECT ANWSER GETS A BRAINLIST I HAVE 3MINS SOMEONE PLEASE!!!!!
Answers
Answer: 15
Step-by-step explanation:
Write 12% as a fraction: 12/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have: 12/100 of 125.
12/100 × 125
If you are using a calculator, enter 12÷100×125 which will give you 15 as the answer.
Triangles DEF and D'E'F' are shown on the coordinate plane below:
What rotation was applied to triangle DEF to create triangle D'E'F'?
Answer choices:
90° counterclockwise
90° clockwise
None of the above
180°
Answers
Answer: 90 degrees counter clock wise.
Step-by-step explanation: If you move the shape to the left you will see it matches the picture.
Hope that helps :)
I WILL MARK BRAINLIEST! What is the surface area and the volume of this Cylinder?
Answers
Answer:
Surface Area = 264π
Volume = 576π
Step-by-step explanation:
in the picture
Answer:
SA= 829.38 Inches² which is 829.38/3.14159 = 264π inch³
V = 110.43 inches³. which is 110.43/ 3.14159 = 35.15π inch³
Step-by-step explanation:
To find the surface area of cylinder, we calculate two area of circle 2πr² and one area of rectangle 2πrh first, and then add them 2πr²+2πrh.
SA of a cylinder =2πrh+2πr², where π≈3.14159
Radius given is 12/2 = 6 inches
= 2 x π x 6 x 16 + 16 x π6 x 6 ≈ 829.3804 = 829.38 Inches²
Volume = h*π *r^2
V = 16 x π
= 110.43 inches³.
Can someone please solve this for me on paper and explain it? I'm offering 30 points? This is a Sixth-grade level question.
Answers
Answer:
Where is the Question? Are you joking around or a you for real
What is the equation of the line that passes through the point (-3,7) and has a slope of -4/3
Answers
Answer:
y=-4/3+3
Step-by-step explanation:
To find this equation in slope-intercept form you must first put it into point-slope form. Remember point-slope is \(y-y_{2}=m(x-x_{2})\) so plugin the points and slope to get \(y-7=-4/3(x+3)\). Then solve the equation for y.
First, distribute the -4/3
y-7= -4/3x-4
Then, add 7 to both sides
y=-4/3+3
Answer:
y=-4/3x+3
Step-by-step explanation:
y-7=-4/3(x-(-3))
y-7=-4/3x-4
y=-4/3x+3
7=3(5+x) what does x equal?
Answers
Answer: x= 2.67
Step-by-step explanation:
7=3(5+x)
7=15+3x we open the parentesise and then mulitiply.
-8=3x we execute 15 from both sides.
x= -8/3
x= -2.67 this isn't divisible so I rounded it to the nearest hundredth
Fastest answer gets brainliest answer!
Leon is scuba diving at an elevation of −72
feet when his friend signals to come higher to see a sea turtle. Leon makes 3 ascents, each an equal distance, to reach an elevation of −18
feet, where the sea turtle is located.
What was Leon's elevation after his second ascent?
Answers
Answer: -36 feet
Step-by-step explanation:
72-18 = 54 feet ascended
54 feet / 3 ascents = 18 feet per ascent
18 feet * 2 ascents = 36 feet
-72+ 36 = -36 feet
54/3= 18, 18*2=36
72-36= 36
i put a picture of the question. please help <3
Answers
Answer: 904.78
Explanation:
V=4
3πr3=4
3·π·63≈904.77868
PLS HELP!!!!!
Brayden conducted a scientific experiment. For a certain time, the temperature of a compound rose 2 2/5 degrees in 1/5 of an hour. How much did the temperature of the compound rise in one hour?
Answers
Answer: 12 degrees or 11 5/5 or 60/5
Step-by-step explanation:
Since the temperature is rising 2 2/5 per 1/5 of an hour we just need to multiply 2 2/5 times 5 because 5/5 would equal the whole hour. In order to multiply easier you can change 2 2/5 to an improper fraction by multiplying the whole number with the denominator and then adding the numerator. Which you should get 12/5 next change 5 to a fraction which would be 5/1. 5 times 12 is 60 and 5 times 1 is 5. You get 60/5 which if divided is 12.
For the number line you just have to find 1/5 and 2 2/5 on it and mark it.
y=6x+2/5 in standard form algebra, please answer fast if you see this
Answers
Answer:\(\frac{y-\frac{2}{5} }{6}\)=x
Step-by-step explanation:
y-\(\frac{2}{5}\)=6x subtract 2/5
\(\frac{y-\frac{2}{5} }{6}\)=x divide by 6
Answer:
I think it's 1/15
Step-by-step explanation:
Good Luck!
I will give brainliest to whoever answers first and gives me the answer for every question and it must be understandable.
Answers
Answer:B
Step-by-step explanation:You have to multiply the fractions.
The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern?
Answers
Answer:
7 and 21
Step-by-step explanation:
the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern
To make a number pattern, Shana used the rule "Add 3," with a whole number as the starting number. Which statement must be true about Shana's list of numbers?
Answers
Answer:
you didnt put enough context in your question but if shana kept using three she would have mixed even and odds in her numbers if you could give more context to the question id be glad to help more
Robin and evelyn are playing a target game. the object of the game is to get an object as close to the center as possible. each player’s score is the number of centimeters away from the center. robin’s mean is 107, and evelyn’s mean is 138. compare the means. explain what this comparison indicates in the context of the data. who is winning the game? why?
ANSWER BELOW
138 is my answer because Robin score is 107 to 138 so...
138 > 107 = 138 is my answer THXS for looking you can take this answer I really don't care.
Answers
Answer:
The answer is Evelyns is winning the game because he is clearly up ahead
Step-by-step explanation:
Hope I helped I wish the best for you
Answer:
138 is my answer because Robin score is 107 to 138 so...
138 > 107 = 138 is my answer THXS for looking you can take this answer I really don't care.
Step-by-step explanation:
thx's bro
The following sample space could represent which repeated experiment?
S: {BY, YB, BB, YY}
Flipping a fair coin once
Rolling a number cube twice
Spinning a spinner once with 2 equal sections colored blue and yellow
Spinning a spinner twice with 2 equal sections colored blue and yellow
Answers
Answer:
is D or last option
Spinning a spinner twice with 2 equal sections colored blue and yellow
Step-by-step explanation:
their is Y and B so 2 and 2 times 2 is 4 and theirs 4 probabilities
The Barrel in Problems 4 is 5 feet long and the radius of its base is 1.5 feet.
Answers
Alfred drove 114 miles in 3 hours. If Alfred drove at a constant rate, how fast did he drive in miles per hour?
A. 24 mi./hr.
B. 28 mi./hr.
C. 30 mi./hr.
D. 38 mi./hr.
Answers
Answer:
D.
Step-by-step explanation:
114 / 3 = 38
Answer:
38 MPH
Step-by-step explanation:
114 divided by 3= 38
What is this in simplest form
Answers
Answer:
this is the simplest form
Step-by-step explanation:
since there is a variable in the fraction, you can't simplify it any further until we know that term.
Answer:
-7y/2
Step-by-step explanation:
-7y/2 cannot be simplified any further as there are no common factors of -7y and 2
please help, i’m confused
Answers
Answer:
The way the Pythagorean theorem can be used to find the side length of DE is if you find the side length of the other two side you can use the formula \(a^2+b^2=c^2\). The side length of DE is 13.
Step-by-step explanation:
One of the side lengths is 5 and the other is 12.
Use \(a^2+b^2=c^2\)
\(5^2+12^2=c^2\) equals:
\(25+144=c^2\) equals:
\(169=c^2\) equals:
\(\sqrt{169} = c\) equals:
\(13=c\)
13= DE
Gregory has a checking account at the local bank. If the account ever falls below zero, the bank deducts $4.50 per day until a deposit is made to bring the account above zero. Today, Gregory's account is -$3.65. What will his account balance be after 2 weeks if he makes no deposits or withdrawals? EXPLAIN! SHOW YOUR WORK!
-$66.65
-$12.65
$66.65
$12.65
Answers
Answer:
-$66.65
Step-by-step explanation: () = times
each week is 7 days
14 (4.50) = 63 + the already in deubt 3.65, you get -$66.65
Step by step:
2 weeks equals 14 days
14(4.50)=63+ 3.65 =66.65
What is the surface area of a can that has radius of 9 ft. and height of 3 ft.? SA = __________ ft.2. Use 3.14 for pi. A. 678.2 B. 458.6 C. 354.3 D. 292.0
Answers
Answer:
678.2
Step-by-step explanation:
To find the surface area you need to use the expression \(2\pi rh + 2\pi r^2\)
When you substitute the numbers in you get 678.24
The surface are of the can that has radius of 9 ft. and height of 3 ft is 678.2 ft².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area of the can is the sum of the area of the bases of the can and the lateral surface area of the can. Therefore, the total surface area of the can is,
The surface area of can = 2(Area of base) + Lateral surface area of can
= 2(πr²) + 2πrh
= 2[π×(9 ft)²] + (2 × π × 9ft × 3ft)
= 508.8 ft² + 169.4 ft²
= 678.2 ft²
Learn more about Area:
https://brainly.com/question/1631786
#SPJ2
The central idea or lesson to be learned in a story. *
A.Plot
B.Theme
C. Exposition
D.Short Story
HELP ME PLZ!!
Answers
Answer:
probably plot
Step-by-step explanation:
Answer:it’s theme not plot
Step-by-step explanation:
Could anyone help me with this problem, Quickly Please...
Answers
Answer:
3/4
Step-by-step explanation:
Since (p, r) lies on the line y = x + b,
we have,
r = p + b -----eq(1)
Since (2p, 5r) lies on the line y = 2x + b,
we have,
5r = 2(2p) + b -----eq(2)
Sub the value of r from eq(1) in eq(2),
5(p + b) = 4p + b
⇒ 5p + 5b = 4p + b
⇒ 5b - b = 4p - 5p
⇒ 4b = -p
⇒ b = -p/4
sub in eq(1)
r = p + (-p/4)
= p - p/4
= 3p/4
⇒ r = 3p/4
⇒ r/p = 3/4
Answer:
3/4
Step-by-step explanation:
We have two lines:
r = p + b eq(1)
5r = 4p + b eq(2)
eq(2) - eq(1)
4r = 3p
dividing by 4p
r/p = 3/4
A different aquarium should contain 15,000 liters of water when filled correctly. It will overflow if it gets to 17,600 liters.
One day there is an accident and the tank cracks in 4 places. Water flows out of each crack at a rate of 1/2 liters per hour. An emergency pump can re-fll the tank at a rate of 2 liters per minute. How many minutes must the pump run to replace the water lost each hour?
Answers
Answer: t = 87
Step-by-step explanation:
I hope so