The possible rational zeros of f(x) = [tex]2x^{3} - 15x^{2} +9x-22[/tex] are ±1, ±2, ±11, ±22, ±1/2, ±11/2.
What is mean of rational zero ?
A rational zero is a rational number, which is a number that can be written as a fraction of two integers. An irrational zero is a number that is not rational, so it has an infinitely non-repeating decimal.
By Rational Zero Theorem,
If P(x) is a polynomial with integer coefficients and if is a zero of P(x) (P( ) = 0),
then p is a factor of the constant term of P(x)
q is a factor of the leading coefficient of P(x)
Possible value of rational zero is p/q
Given, f(x) = [tex]2x^{3} - 15x^{2} +9x-22[/tex]
Here, constant term, p = +22
Leading coefficient, q = +2
The factors of the constant term +22 are ±1, ±2, ±11, ±22.
Therefore , The possible rational zeros of f(x) = [tex]2x^{3} - 15x^{2} +9x-22[/tex] are ±1, ±2, ±11, ±22, ±1/2, ±11/2.
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What is the center of the circle and radius defined by the following equation?
x2+y2+4y=5
Answer:
Step-by-step explanation:
Alternate forms:
x^2 + y (y + 4) = 5
x^2 + y^2 + 4 y - 5 = 0
Solutions:
y = -sqrt(9 - x^2) - 2
y = sqrt(9 - x^2) - 2
Integer solutions:
x = ± 3, y = -2
x = 0, y = -5
x = 0, y = 1
Implicit derivatives:
(dx(y))/(dy) = -(2 + y)/x
(dy(x))/(dx) = -x/(2 + y)
how many yards are in 45 inches
Answer:
1.25
Step-by-step explanation:
2 BEC = 74°. What is 2 AED?
Answer:
AED is also 74
Step-by-step explanation:
they share the same crossing lines
Answer: 74
Step-by-step explanation:
1. What is the minimum value of y in the graph below
y
Answer:
-1
Step-by-step explanation:
answer question plsss and explain
Answer:
36 is the final
Step-by-step explanation:
4(5)+8(2)
20+16
36
log3(4x)=2
[tex]log3(4x)=2[/tex]
solve 9 a pleaseeeeee
answer ⬆️
i hope this helps!! :)
Which is shown below?
12 > 11
A. An operation
B. An inequality
C. An expression
D. An equation
SUBMIT
Answer:
B Inequality
Step-by-step explanation:
since 12 is greater than 11 they are not equal
> this sign is the greater than sign
Find (3c2 - 8c + 5) + (c2 - 8c - 6).
A
3c2 - 1
B
4c2 - 16c - 1
C
2c2 - 16c - 1
Answer: B
4c^2 - 16c - 1
Step-by-step explanation:
(3c2 - 8c + 5) + (c2 - 8c - 6).
remove parantheses.
3c2 - 8c + 5 + c2 - 8c - 6
add common factors
answer= 4c^2 - 16c - 1
find the missing side of this right triangle.
Answer:
x = 8
Step-by-step explanation:
a² + b² = c²
x² + 15² = 17²
x² + 225 = 289
x² = 289 - 225
x² = 64
[tex]\sqrt{x^2} =\sqrt{64}[/tex]
x = 8
used to have a square garage with 296 ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answer:
230 ft
Step-by-step explanation:
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Answer:
Steps To Find The Distance Between Two Planes
Write equations in standard format for both planes.
Learn if the two planes are parallel.
Identify the coefficients a, b, c, and d from one plane equation.
Find a point (x1, y1, z1) in the other plane.
Substitute for a, b, c, d, x1, y1 and z1 into the distance formula.
Step-by-step explanation:
Help please i need this last question
Answer:
(D) or 703.4^2 is the answer here.
Step-by-step explanation:
Well I would imagine this.
Imagine a cylinder right and its liek a soda can. If you cut the middle straight down (which is the height) and you pull out the whole sheet and flatten it, you get a rectangle. You have the height but no width. The width can be found be finding the Circumfrnce of the circle or the perimeter of the circle on top.
Circumfrence formula is C=dπ or in this case the radius is 7, double the radius which would be 14 and the diameter, multiply that by π, you’d Get 43.98229 smth.
Now you have the surface for that rectangle or the surface recall for the whole cylinder except for the top and bottom, you just gotta find the top and double it!.
The area of a circle is a=πr^2
Raidus in. This case is 7, 7^2=49. 49π double it (top and bottom) is 307 smth Yu add those two up and you’d get 703.4 smth so the answer is (D).
Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in 1/2 hours?
A. 6 1/2
B. 6 3/4
C. 5 3/4
D. 5 1/4
Answer:
D
Step-by-step explanation:
21/2 = 10.5
10.5 x .5 = 5.25 = 5 1/4
The answer is D.
Substitution
x+5y=13, 4x+7y=0
PLEASE HELP MEE<3
Step-by-step explanation:
x+5Y=13...... 1
4x +7y=0..... 2
from eqn 1
x =13-5y
substitute into eqn 2
[tex]4(13 - 5y) + 7y = 0[/tex]
52-20y +7y=0
52-13y=0
52=13y
y=52÷13
y=4
substitute Y into eqn 2
x +5y=13
x + 5(4)= 13
x+ 20=13
x=13-20
x=-7
The designer wants to plant new flowers around the pond. How many feet of flowers would she need to plant in this new design? Round to the nearest hundredth. Show your work.
Answer: 1,257.14 ft
Step-by-step explanation:
The question is missing the vital detail of the diameter or radius of this circular pond which I found to be 400 feet.
The plants are to be planted around the pond which means that they are to be planted around the circumference of the pond.
The number of feet of flowers to be planted is therefore the circumference.
Circumference = π * diameter
= 22/7 * 400
= 1,257.14 ft
What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?
A) 5/2 and 25/4
B) 5/2 and 7/4
C) 7/2 and 25/4
D) 7/2 and 7/4
Given:
Base of the larger figure = 30 yd
Base of the smaller figure = 12 yd
To find:
a) The ratio of the perimeters of the larger figure to the smaller figure.
b) the ratio of the area of the larger figure to the smaller figure.
Solution:
a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.
The given figures are similar. So, the ratio of the perimeters is:
[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]
b) The ratio of area of similar figures is equal to the ratio of squares of their sides.
[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]
[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]
Therefore, the correct option is A.
Please answer!!!!! Im in the middle of this test and im not sure what the answer to this is!
Answer:
Increase of 8
Step-by-step explanation:
x = y-8
y=x+8
Answer:
Ummm try -4 akfkaf cuz I think it is girly lolll im so goofy
Step-by-step explanation:
six subtracted from the product of three and a number is greater than or equal to -24
Answer:
6 - 3x [tex]\geq[/tex] -24
Step-by-step explanation:
If Savannah increases her protein intake from 45g to 54g in order to stay competitive in volleyball. What is the percentage increase of her protein intake?
make x the subject of the formula y=2x+4
Answer:
X= y/2-2
Step-by-step explanation:
Well to isoalte x just do the same thing you would do for y,
Isolate the numbers without a variable buy subtravting 4 on each side.
y-4=2x
Now isolate 2 and x by divide 2 on both sides
y/2-2=x
This can be determined by the simple mathematical concepts. Therefore the value of x is, [tex]\bold{x=\dfrac{y-4}{2} }[/tex] the subject of he formula y=2x+4.
Given that the subject of the formula y=2x+4.
We have to find x.
According to the question,
To obtained the value of x by the given formula
i.e. y = 2x+4 .....(1)
Now the value of x is from the above equation (1)...
[tex]\bold{x=\dfrac{y-4}{2} }[/tex]
Hence, the value of x , [tex]\bold{x=\dfrac{y-4}{2} }[/tex] makes x the subject of the formula y=2x+4.
For further details,please refer this link:
https://brainly.com/question/20632687
Out of the 125 children at summer camp, 45 signed up for swimming and 38 signed up for arts and crafts. Twelve students who signed up for swimming also signed up for arts and crafts. If a child is randomly selected, what is the probability that they are signed up for swimming, if it is known that they did not sign up for arts and crafts? Please help!
Answer:33/125
Step-by-step explanation:
First, you subtract 12 from 45, because there were 45 who signed up for swimming and 12 of them also signed up for arts and crafts. So, there are 33 children, out of the 125, who only signed up for swimming. Which means there is a 33/125 chance that a child who only signed up for swimming is randomly selected.
how do we interpret -58
Answer:
The way you would interpret -58 is that unlike positive numbers such as 50 or 70, -58 is actually behind the number zero. Take it as like an elevator that goes below the surface level, -58 is 58 floors below the surface.
Answer:
take it as an elevator sjsiisisis
Write the equation that describes the following variation. Don't forget "k"!
x varies directly with the square rootſofy and inversely with the square of w and the
cube root of z
Answer:
x=(k√x)/(w^2)(cube√z)
x varies directly with square root of y is:
x = k √y
And inversely with the square of w and cube root of s is:
/(w^2)(cube√z)
Now put those together:
x=(k√x)/(w^2)(cube√z)
The formula is:
x=ky/wz but add the specific info like square, roots, or etc
Ms. Taylor has a box on her desk for paper clips with a total volume of 120 cubic cm. The
paper clip box has a length of 6 cm and a width of 4 cm. What is the height of the box?
Answer: i have the same question
Step-by-step explanation:
Answer:
The answer is 5.
Step-by-step explanation:
6 x 4 is 24, and if you divide 120 and 24, you can see you get 5.
help please thank you
Answer:
C
Step-by-step explanation:
Take sides AD and MP.
6 in. in ADCB is 3/2 * 4 in. in MPON
I need help with this question ( see image). Please show workings.
Answer:
(a) ∠KHG = 120°
(b) (i) KG = 15.625 km
(b) (ii) bearing of G from K = 240°
Step-by-step explanation:
(a) 360° - 290° = 70°
∠KHG = 70° + 50° = 120°
(b) (i) ∠KGH = 26°
∠GKH = 34°
KG = 7.875 + 7.75 = 15.625 km
(b)(ii) Bearing from G from K = 110° + 130° = 240°
3 liters of milk divided by 20
Answer:
0.15 Per person/number!
Step-by-step explanation:
3liters divided by 20
I need this answer as soon as possible will give brain thing
Answer: X=5 so whats 3 + 5? easy, 8. so now you know the bottom is eight and since it's a rectangle the top is also 8. And the left side is 15 so we know the right side is also 15. To find the perimeter you add all the sides of which in this case it would be 8 + 8 + 15 + 15. or (8 times 2) + (15 times 2). = 46 the answer is 46
Step-by-step explanation:
HELP I AM TIMED AND EXPLAIN HOW YOU GOT IT
Answer:
C) p + 3 < 20
Step-by-step explanation:
Since the max is 20, it has to be < 20
p + 3 < 20