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According to the rational root theorem, -7/8 is a potential rational root of: A. f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28.

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;

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Answer:

See below

Step-by-step explanation:

You could say "10 times the sum of 0j, 40, and 4j" because that is exactly what you are doing in the algebraic expression.

Answer:

False

Ab is not perpendicular bisector to bc

The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12

In the given figure, the side lengths AB and AD are equivalent.

This means that, we have the following angle relationship:

CAD < CAB

Substitute known values

6x - 24 < 48

Add 24 to both sides

6x < 72

Divide both sides by 6

x < 12

Also, we have the following angle relationship:

CAD > 0

Substitute known values

6x - 24 > 0

Add 24 to both sides

6x < 24

Divide both sides by 6

x < 4

This means that:

x < 4 and x < 12

Combine both inequalities

4 < x < 12

Hence, the inequality is 4 < x < 12

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[tex]s = 4\pi {r }^{2} [/tex]

13.6/2=6.8

4×3.14×(6.8×6.8)=580.7

the horizontal axis is the bottom (____), the title is usually hiden in the task name

Answer:

The closest answer would be 7 years

Step-by-step explanation:

In the '60s, the life expectancy was approximately 70 years, and in 2010 it was approximately 78.

Answer: answer would be 7 years

Step-by-step explanation:

just did it

Answer:

exponential

Step-by-step explanation:

It is exponential because the variable is in the exponent

The surface area of the given rectangular prism is:

S = 496 square feet.

For a rectangular prism of length L, width W, and height H is:

S = 2*(L*W + W*H + L*H).

In this particular case, we have:

If we replace that in the surface area equation, we will get:

[tex]S = 2*(5ft*16ft + 5ft*8ft + 16ft*8ft) = 496 ft^2[/tex]

The surface area of the rectangular prism is 496 square feet.

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Answer:

to find z

Step-by-step explanation:

8=z/6

z=6 x 8
z= 48

Answer:

The minimum is 87

Step-by-step explanation:

The minimum is the lowest number that you can see. 87 is the minimum because it is the lowest of all numbers listed

Answer:

87

Step-by-step explanation:

Put them in order

87, 89, 94, 98, 99, 103, 109, 112, 115

Minimum = The least

The least = 87

The median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data:

60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98

The median = (63+65)/2 = 64

Q1 = (61+62)/2 = 61.5

Q2 = (70+72)/2= 71

Q3 - Q1 = 71 - 61.5 = 9.5

Thus, the median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5

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Answer:

Use the drop-down menus to identify the key values.

What is the median? ✔ 64

What is Q1, the median of the lower half of the data? ✔ 61.5

What is Q3, the median of the upper half of the data ✔ 71

What is the interquartile range, or Q3 – Q1? ✔ 9.5

Step-by-step explanation:

edge 2023

The following are true:

1. 9 m = 9000 mm

2. 8 km = 8000 m

3. 10 cm = 100 mm

Unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.

1. 9m in mm

  1 m = 1000 mm

  9 m = 9000 mm

2. 8 Km in m

   1 Km = 1000 m

   8 Km = 8000 m

3. 10 cm in mm

    1 cm = 10 mm

    10 cm = 100 mm

4. 890 cm in m

   1 cm = 1/100 m

   890 cm = 8.9 m

5. 2000 m in Km

   i m = 1/1000 Km

   2000 m= 2 Km

6. 4 m in cm

    1 m = 100 cm

    4 m = 400 cm

From the above discussion (1), (2), (3) are true.

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Using the bottom rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.

The image showing the two groups is as shown in the brainly link attached at the end.

From the attached file in the brainly link, we see that the shapes are grouped using the following criteria:

Using the above rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.

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Answer:

Step-by-step explanation:

Solve all possible equations:

10 will be used for the next equation:

2nd equation:

13 will be used for the final equation:

Final equation:

An expression is defined as a set of numbers, variables, and mathematical operations. The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The two trinomial whose sum will get 5x²+9x+3, therefore, the trinomial will be,

Trinomial A = 3x²+5x+2

Trinomial B = 2x² + 4x + 1

Hence, The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.

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Answer:

Step-by-step explanation:

[tex]P = 56,150(1 + \frac{0.095}{4})^{ 4(2.5)[/tex]

≈ $71005

Answer:

7/32

Step-by-step explanation:

Answer: Luke spent 45.5 hours working

Step-by-step explanation:

let x = hours worked

[tex]641.5 = 13x + 50\\\\641.5-50 = 13x\\\\591.5 = 13x\\\\\frac{13x}{13}=\frac{591.5}{13} \\\\x=45.5[/tex]

We can conclude Luke spent 45.5 hours working

Answer:

660 cubic cm

Step-by-step explanation:

Volume= bhl/2

[tex]\cfrac{2}{x^2-25}~~ - ~~\cfrac{3x}{x^2-4x-5}\implies \cfrac{2}{\underset{\textit{difference of squares}}{x^2-5^2}}~~ - ~~\cfrac{3x}{(x+1)(x-5)} \\\\\\ \cfrac{2}{(x-5)(x+5)}~~ - ~~\cfrac{3x}{(x+1)(x-5)}\implies \cfrac{(x+1)2~~ - ~~(x+5)3x}{\underset{\textit{using this LCD}}{(x+1)(x-5)(x+5)}} \\\\\\ \cfrac{2x+2-3x^2-15x}{(x+1)(x-5)(x+5)}\implies \cfrac{2-3x^2-13x}{(x+1)(x-5)(x+5)}\qquad x\ne -1,\pm 5[/tex]

why can't it be -1 or 5 or -5? if it ever does become that, the denominator will go poof and the fraction undefined.

Answer:

acute triangle

Step-by-step explanation:

because (12)^2 = 144 while [tex]8^{2}[/tex] + [tex]10^{2}[/tex] = 164 which means the sum of it's smaller angles are greater than it's greatest angle so it's an acute triangle

Answer:

take the two smaller sides, call them a and b. call the longest side c.

if a^2 + b2 = c^2 you have a right triangle

if < c^2 it's acute

if > c^2 it's obtuse

in addition, if you can find a,b,c such that

a=b=c it's equilateral

a=b≠c it's isosceles

a≠b≠c it's scalene

plug in your numbers and make your choice.

Step-by-step explanation:

here my Answer:)))))))

H (12, -2)

Answer:

G(V(n))

Step-by-step explanation:

Where V is carts and n is material

And

Where G is silver found and v is material

On combininf

So as per transitive property

R is relation

G is related to n

So G will stay outside and the relationship become GoV(n)

Answer:

3/4 is your fraction because 3 out of the four sections gives you the bear

Step-by-step explanation:

Answer:

1. 519.75 cm^3

2. 19.22 cm^3

3. 613.6 cm^3

4. 1365.68 cm^3

Step-by-step explanation:

Hello again, similar to the other questions, these problems use the same formulas.

1. volume of a rectangular prism is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 4.5 x 7 x 16.5 and we get V = 519.75 cubic cm.

2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6.2 x 2 x 3.1 and we get V = 19.22 cubic cm

3. V = Bh, where B is the base area and h is the perpendicular height. Substitute known values into equation: V = 52(11.8). So, V = 613.6 cubic cm.

4. And again, V = Bh. Substitute given values into this equation: V = 79.4(17.2), which means V = 1365.68 cm^3

This is your answer. I keep hope it will help you

which grade are you studying