According to the rational root theorem, -7/8 is a potential rational root of: A. f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28.
What is a rational root theorem?A rational root theorem is also referred to as rational root test and it states that when the coefficients of a polynomial are integers, all of the possible rational roots can be determined by dividing each factor of the constant term by each factor of the coefficient of the highest power (leading coefficient).
In Mathematics, the canonical form for a polynomial in one variable (x) is given by:
[tex]a_n x^n + a_{n-1} x^{n-1} +a_1 x^1 +a_0=0[/tex]
Therefore, the potential rational root of the above polynomial is ±factors of a₀ dividided by ±factors of [tex]a_n[/tex] i.e ([tex]\pm a_0/\pm a_n[/tex]).
For this exercise, -7/8 is a potential rational root of f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28 in accordance with rational root theorem;
Factors of the leading coefficient are: 24: ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.Factors of the constant term are: 28: ±1, ±2, ±4, ±7, ±14, ±28.Potential rational root is: ±7/8.Read more on rational root theorem here: https://brainly.com/question/10937559
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The circumference of a circle is approximately 43.96 centimeters. What is the radius of the circle? 3.14 for Pie
-7 Centimeters
-11 Centimeters
-14 Centimeters
-22 Centimeters
Answer:
7 Centimeters
Step-by-step explanation:
So I have a 90.8 in a class the final is 15% of the grade there is a final worth 3.75% of the final grade and a final worth 11.25% of the final grade. I know I have to get a 87% in total on the final grade but what grade would I have to get on each test separately. What would be the worst possible grade I could get on both finals to still end up with a A.
Answer: I know this answe won't be that helpful but I'm pretty sure worsth you can get on both is like a high B. Its pretty hard to tell since you'll be dealing with like formative summative precentages and total point precentages or something But in my honest opinion seems like a high B on one and maybe like a 83-84 on the other.
A shirt that was selling for $80 is reduced to $60. Find the percent decrease in price.
Answer:
25% decrease
Step-by-step explanation:
Percentage Decrease = [(Start Value - Final Value) / |Start Value|]×100
80 - 60 = 20
20 / 80 = 0.25
0.25(100)= 25%
What is the midpoint of AB?
Answer:
[tex](-4, -\frac{1}{2} )[/tex]
Step-by-step explanation:
A (-5, -4)
B (-3, 3)
We can apply the midpoint formula: [tex](\frac{-5 + -3}{2} , \frac{-4 + 3}{2} )[/tex]
[tex]= (-4, -\frac{1}{2} )[/tex]
hope this helped! :)
The triangles are similar by the AA Similarity Postulate. Find the value of x.
Solve log (5x+7)=log(8x-2)
zolas mother spends 39 minutes braiding zolas hair she finishes at 7:52 what time did she start braiding zolas hair
The first four terms of a sequence are shown on the graph below.
What can be concluded about the sequence?
The common ratio of the sequence is 2.
The common difference of the sequence is 2.
The next term of the sequence is represented by the point (5, 64).
The next term of the sequence is represented by the point (5, –64).
Answer:
The next term of the sequence is represented by the point (5, –64)
Step-by-step explanation:
From inspection of the graph, the first four terms of the sequence are:
(1, -4)(2, 8)(3, -16)(4, 32)Each x-value increases by 1 for each consecutive term.
Each y-value is the previous y-value multiplied by -2.
Therefore, it is a geometric sequence with a common ratio of -2.
Following the above rule, if the last term in the sequence is (4, 32), then the next term in the sequence will be:
x = 4 + 1 = 5y = 32 × -2 = -64So, the next term of the sequence is represented by the point (5, –64)
Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
Answer:
[tex]29i[/tex]
Step-by-step explanation:
From this information, we can write the following equation: [tex](2-5i)(2 + 5i)(i)[/tex]
We can see that there is the factorization of the difference of squares, so we can first expand that. The equation will become the following: [tex](4+25)(i)[/tex]
= [tex]29i[/tex]
hope this helped! :)
Find the slope from the graph.
Answer:
The answer is -3/2.
#17. estimate the perimeter and the area of the shaded figure
Answer:
perimeter of pentagon is 5s
area of Pentagon is 1/2 P*a
A hot air balloon holds 1,592 cubic meters of helium. the density of helium is 0.1785 kilograms per cubic meter. how many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? 432.3 kg 284.2 kg 2,043.7 kg 5,435.3 kg
By taking the product between density and volume we will see that the mass is 284.2 kg
How to find the mass of helium?Remember that density is the quotient between mass and volume, then:
mass = density*volume.
Here we know that:
volume = 1,592 m³density = 0.1785 kg/m³Taking the product of these two we get:
mass = (1,592 m³)*(0.1785 kg/m³) = 284.2 kg
So the correct option is the second one.
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Answer:
284.2 kg my good sir
Step-by-step explanation:
Big brain
question 16. You sent an email to 8 friends. They each forwarded the email to 8 friends, and those friends each forwarded the email to 8 friends. The chain of emails is represented by the expression 8+8²+8³. How many people were sent your email.
Answer:
584
Step-by-step explanation:
8 + 8 squared + 8 cubed is 8 plus 64 plus 512 which is 584
A person has an unknown element with a volume of 16 cubic inches and a weight of 4.13 pounds.
Density
Titanium 0.161
Zinc 0.258
Iron 0.284
Silver 0.379
Using the table, what is the element?
A.Zinc
B.Silver
C.Iron
D.Titanium
The density become by the elemental composition of the person has will be 0.258 and hence, option (A) will be correct.
What is the density?In science, density is defined as the ratio of an object's mass to volume. Technical and statistical density assessments are done using a technique. The theory is applicable to the laws of nature in sciences like physics, where the emphasis is on things and matter.
Because density affects so many aspects of life, comprehending it is crucial. Which cells will float high in the atmosphere and which will sink lower depends on density, according to physics.
Given that the element has
Volume = 16 cubic inch
weight = 4.13 pound
Since density = weight / volume
density = 4.13/16
density = 0.258 which is matching through option (A) hence it will be correct.
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NEED HELP ASAP
Question A.) k=5
Question B.) ????
Answer:
b) [tex]f^{-1}(x) = \frac{4x+5}{3}[/tex]
Step-by-step explanation:
b) To find the inverse function, switch the [tex]x[/tex] and [tex]y[/tex] variables and solve for [tex]y[/tex]:
[tex]f(x) = \frac{3x-5}{4}\\y = \frac{3x-5}{4}\\x = \frac{3y-5}{4}\\4x = 3y-5\\4x+5 = 3y\\\frac{4x+5}{3} = y\\f^{-1}(x) = \frac{4x+5}{3}[/tex]
Verify Answer:
[tex]f(1) = \frac{3(1)-5}{4} = -0.5\\f^{-1}(-0.5) = \frac{4(-0.5)+5}{3} = 1[/tex]
Find the distance between the points (1,2) and (9,8)
Answer:
10
Step-by-step explanation:
✓(y1-y2)²+(x1-x2)²
✓(2-8)²+(1-9)²
✓(-6)²+(-8)²
✓36+64
✓100
=10
Answer:
10
Step-by-step explanation:
What change in government did the British demand of Massachusetts?
needs help
Answer:
They were no longer able to trade with England. They were no longer able to elect their own governor.The figure is cut into 15 equal pieces. Shade 2/3 of the figure.
Answer:
Shade 10 of the pieces.
Step-by-step explanation:
> 4
Ansley ate 12 of a bag of popcorn. Erica
ate 12 of the same bag of popcorn. What
fraction of the bag of popcorn did Ansley
and Erica eat in all?
A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect prefer comic books?
I aded the graph
Answer:
D. 80
Step-by-step explanation:
The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.
200 × .375 = 75
75 rounded to the nearest tens value is 80
Consider this cone. a cone. point a is the vertex, b is the height, c is the radius, and d is the diameter. identify the parts of the cone. which letter indicates the height? which letter indicates the radius? which letter indicates the diameter? which letter indicates the vertex?
The parts of the cone can be explained as;
The height is ABThe radius is CBThe diameter is CDThe vertex is AWhat is a cone ?A cone can be regarded as a three-dimensional shape which has a vertex at the top of it.
Considering a cone as described in the question, we could see that the distance from point A to B will gives us the height which is the vertical length.
Therefore, Vertex is at the top of the cone which is point A.
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Answer:
b
c
d
a
Step-by-step explanation:
;)
solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.
Answer:
6.8 miles
Step-by-step explanation:
a^2+b^2=c^2
Write a problem that can be
solved using a line plot. Draw and label the
line plot and solve the problem.
Answer:
0/5 1/5 2/5 3/5 4/5 5/5 hope this helps
The area of undeveloped land in a suburban town is decreasing at a rate of 17.3% annually. in 2016, there were 3,400 acres of undeveloped land. if t represents the number of years since 2016, which equation can be used to determine after how many years the town will have 900 acres of undeveloped land remaining?
Based on the rate of decrease and the acres of undeveloped land, the equation to determine the number of years till 900 acres is remaining is B)900 = 3,400(0.827)^t.
Which equation shows the number of years till 900 acres are remaining?As 900 acres is the target number of acres to remain, this will be on the left side of the equation as the y value.
The right side of the equation would be:
= Current number of acres remaining x ( 1 - rate of decrease) ^ number of years
= 3,400 x ( 1 - 17.3%) ^ number of years
Putting them together:
900 = 3,400(0.827)^t.
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Part 2: Approximately what value of will give her a box with the greatest volume? Explain your reasoning.
( only need part 2 already have part one thx)
The value of x that gives the box the greatest volume is approximately 2.08
How to determine the value that gives the greatest volume?The equation of the volume of the box is given as:
V(x) = x(12 - 2x)(13 - 2x)
Expand
V(x) = (12x - 2x^2)(13 - 2x)
V(x) = 156x - 24x^2 - 26x^2 + 4x^3
V(x) = 156x - 50x^2 + 4x^3
Differentiate the function
V'(x) = 156 - 100x + 12x^2
Set to 0
156 - 100x + 12x^2 = 0
Rewrite as:
12x^2 - 100x + 156 =0
Divide through by 4
3x^2 - 25x + 39 =0
Using a graphing calculator, the values of x are:
x = 2.08 and x = 6.26
Substitute these values of x in V(x)
V(2.08) = 2.08 * (12 - 2 * 2.08)(13 - 2 * 2.08) = 144.16
V(6.26) = 6.26 * (12 - 2 * 6.26)(13 - 2 * 6.26) = -1.56
The volume cannot be negative.
So, we have:
V(2.08) = 144.16
Hence, the value of x that gives the box the greatest volume is approximately 2.08
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What is the domain of the function shown in the graph?
Answer:
the answer is b you have it right
Step-by-step explanation:
your welcome
Ronald is attending a schoolorchestra concert. He sees his math teacher seated 24 meters
ahead of him and his science teacher seated 10 meters to his right. How far apart are the two
teachers?
Answer:
26 m
Step-by-step explanation:
Use pythag theorem
24^2 + 10^2 = d^2
d= 26 m
Please I'm serious no time for nonsense
Draw (3) Convex Polygons & (3) Non- polygons .
Answer & step-by-step explanation:
Convex: Triangle, Square, Pentagon. (Has to be equal sided and angled)
Non-Convex: Draw a weird shape, such as a deformed star, a 5 sided shape with no equal sides, such as these listed below:
in the figure, line segment AB, is tangent to the circle at point A
Answer:
AB = 12 in
Step-by-step explanation:
given a tangent and a secant from an external point to the circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is
AB² = BC × BD = 8 × 18 = 144 ( take square root of both sides )
AB = [tex]\sqrt{144}[/tex] = 12
Answer:
AB = 12 in
Step-by-step explanation:
Theorem
When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Secant: a straight line that intersects a circle at two points.
Tangent: a straight line that touches a circle at only one point.
Given:
Secant segment = BDExternal secant segment = BCTangent segment = AB[tex]\sf AB^2=BD \cdot BC[/tex]
[tex]\implies \sf AB^2=(8+10) \cdot 8[/tex]
[tex]\implies \sf AB^2=18 \cdot 8[/tex]
[tex]\implies \sf AB^2=144[/tex]
[tex]\implies \sf AB=\pm\sqrt{144}[/tex]
[tex]\implies \sf AB=\pm 12[/tex]
As distance is positive, AB = 12 in
Please help me out! Need this done ASAP!
Answer:
a. power of a point
b. CE = 4.6
Step-by-step explanation:
a. the power of a point theorem states that BE*BC = BA*BD
b. using the equation above, find CE:
BE * 10 = 3 * 18
BE = 5.4
CE = BC - BE = 10-5.4 = 4.6
