How many roots does fundamental theorem of algebra?

Answer:

Step-by-step explanation:

8-x/3>=11 is the equation, and the answer is:

x<= -9, so any number less than -9 is correct.

The solution is x ≤ -9

What are Inequality Equations?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the number be x

8 - x/3 ≥ 11

Subtracting 8 on both sides , we get

-x/3 ≥ 3

Multiplying by 3 on both sides , we get

-x ≥ 9

Interchanging the sign on both sides , we get

x ≤ -9

Hence , the solution is x ≤ -9

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Answer:

$24.75

Step-by-step explanation:

4/5 of 13.75 = 11

11+13.75= 24.75

Dana  spends $24.75 in all.

An equation is a mathematical statement that equates two algebraic expression by an equal sign.

The data given in the question is

Dana spends $13.75 on a teacup for her grandmother

She spends 4/5 of that on a coffee mug for her grandfather.

The total amount  she spends is given by $x

The equation becomes

x = 13.75 + (4/5) * 13.75

x = $24.75

Therefore she spends $24.75 in all.

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Answer:  

11/9

hope this helped :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

11 / 12 = 0,91 and a periodic 6

3 / 4 = 0,75

11 / 12 = 3 / 4 = 0,916 ÷ 0,75

Answer:

to guarantee equality for all

Step-by-step explanation:

The league of nations was created to prevent another global war

Answer:

6.25

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because the slopes is 3.

Answer:

Lowest boiling point = helium.

Highest boiling point = fluorine

Step-by-step explanation:

Given :

fluorine -180

hydrogen -253

argon -186

helium -269

nitrogen -196

neon -246

Arranging the boxing points of each chemical element on a number line, the least which will be located to the leftmost part is Helium with a boiling point of - 269 ; while the highest will be fluorine which is - 186°C

Given:

Base angle of an isosceles triangle is 15 degrees more than its vertical angle.

To find:

The measure of each angle of the triangle.

Solution:

Let x be the vertical angle. Then,

One base angle = x+15 degrees

We know that base angles of an isosceles triangle are equal.

Another base angle = x+15 degrees

Now, the sum of all angles of a triangle is 180 degrees by the angle sum property.

[tex]x^\circ+(x+15)^\circ+(x+15)^\circ=180^\circ[/tex]          (Angle sum property)

[tex](3x+30)^\circ=180^\circ[/tex]

[tex]3x+30=180[/tex]

[tex]3x=180-30[/tex]

[tex]3x=150[/tex]

Divide both sides by 3.

[tex]x=\dfrac{150}{3}[/tex]

[tex]x=50[/tex]

The measure of base angles is

[tex](x+15)^\circ=(50+15)^\circ[/tex]

[tex](x+15)^\circ=65^\circ[/tex]

Therefore, the measure of angles are 50°, 65° and 65°.

A perimeter is a sum of lengths of sides of a lateral.

[tex]2x+7+3x+8=5x+15[/tex].

Answer:

27

Step-by-step explanation:

a+b/2 times h

thats teh formula for the area of a trapezoid so a and b are the top and bottom sides of the trapezoid

so 6 on the bottom and 3 on the top

add those and it equals 9 then divide by 2 gives us 9/2

then the height would be 6

so we multiply 9/2 by 6 giving us 54/2

simplified equals 27 so ur answer would be 27 units squared

Answer:27

Step-by-step explanation:

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

[tex]area = (3.14) {(6)}^{2} [/tex]

[tex]area = (3.14)(36)[/tex]

[tex]area = 113.04 \: yd[/tex]

Answer: 42.5ft

Step-by-step explanation: The wording in your question is a little unclear. I assume that you are looking for how far the anchor line is from the base of the tower.

If so, you can use the Pythagorean Theorem.

a^2 + b^ = c^2

96^ + b^2 = 105^2

Solve for b, gives you about 42.53ft round up and it is 42.5 ft :)

Happy to help

Answer:

x = 5

Step-by-step explanation:

4x + 2 = 2(x + 6)

4x + 2 = 2x + 12 (after you distribute the 2)

add and subtract like terms

4x - 2x = 12 - 2

2x = 10

x = 5

you can double check by substituting the x with 5 in the equation

4 (5) + 2 = 2(5 + 6)

20 + 2 = 2(11)

22 = 22

Answer:

48 cm²

Step-by-step explanation:

The diagonals are in a proportion of 4:3, thus sides of a Pythagorean Triple; they cross at a right angle. The figure formed by joining the midpoints of adjacent sides is a rectangle with sides half the lengths of the original diagonals. 8×6=48

Answer:

The second option, [tex]\frac{\sqrt{15}}{7}[/tex]

Step-by-step explanation:

Edge '21

The equation for cot θ is √15/7. Therefore, option B is the correct answer.

Given that, cosec θ=8/7.

We need to find the ratio of cot θ.

The ratio of cot θ is cot θ=Adjacent/Opposite.

As we know, cosec θ=Hypotenuse/Opposite.

So, 7²+x²=8²

⇒x=√15

Now, cot θ=√15/7.

The value of cot θ is √15/7. Therefore, option B is the correct answer.

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Answer:

There is no angle E in the quadilateral presented in the question. Also, the angles he used are not on opposite side.

Step-by-step explanation:

To classify a quadrilateral is a parallelogram, a quadrilateral with both pairs of opposite sides must be parallel or congruent, that is in a quadrilateral ABCD, angle AB must equal CD and angle AD must equal BC.

Hence, when Felix said quadrilateral ABCD is a parallelogram because of BE = DE. His error was that "there is no angle E in the quadrilateral presented in the question and the angle he used are not on opposite side"

Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The x- coordinate of the vertex is at the midpoint of the zeros.

Given

f(x) = (x - 4)(x + 2)

Find the zeros by letting f(x) = 0 , that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 4 = 0 ⇒ x = 4

Then

[tex]x_{vertex}[/tex] = [tex]\frac{-2+4}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Substitute x = 1 into f(x) for corresponding y- coordinate

f(1) = (1 - 4)(1 + 2) = (- 3)(3) = - 9

Vertex = (1, - 9 )

Answer:

Step-by-step explanation:

I assume the figures are parallelograms, then

1). KL = MJ and

12x - 22 = 7x - 2

12x - 7x = 22 - 2

5x = 20

x = 4

2). m∠RQT + m∠QTS = 180°

(The picture is not clear and I might be wrong about coefficients by x for ∠RQT and ∠QTS)

(3x + 5)° + (9x - 17)° = 180°

12x - 12 = 180

12x = 192

x = 16

Answer:

x<8/3

Step-by-step explanation:

Your answer is x is less than 8 over 3

Answer:

Answer is d

Step-by-step explanation:

x<8/

Answer:336

Step-by-step explanation:

12

216 = 336

Answer:

height of house to ladder reach is 14 ft

Explanation:

Given data

ladder = 15 ft

base = 4 ft

to find out

height of house

solution

we know this is triangle shape so we apply here

so we consider here x is ladder and y is base and z is height

so

by pythagoras theorem

z² + y² = x²

so here

z² = x² - y²

put value

z² = 15² - 4²

z² = 209

z = 14.45 = 14

so height of house to ladder reach is 14 ft

Step-by-step explanation:

The ladder and the ground form a right triangle. Use the Pythagorean Theorem to find the other leg of the triangle.

a^2 + b^2 = c^2

a^2 + 4^2 = 15^2

a^2 + 16 = 225

a^2 = 209

a = 14.5 feet

Answer: -26

Step-by-step explanation: hope this helps :)

Answer:

Step-by-step explanation:

Volume = Area of the base times the height

V = length * width * height

V = 10 * 5 * 1

V = 50 m^3

Now change it to liters

50 * 1000 = 50000 liters^3

Answer:1120 dollars. Δ

Step-by-step explanation:You will pay $1120 for a item with original price of $1400 when discounted 20%. In this example, if you buy an item at $1400 with 20% discount, you will pay 1400 - 280 = 1120 dollars.

#I hope this helps!!!

~Regards~

44014137

[tex] \frac{3}{6} [/tex]

El numerador es lo que melitón se comió...

Y el denominador son las porciones (rebanadas) en que esta dividida la pizza.

Answer:

[tex]V_3 = 1916in^3[/tex]

Step-by-step explanation:

Given

See attachment for gift items and the shipping carton

Required

Determine the volume of the empty space

First, we calculate the volume of the carton.

[tex]V = LWH[/tex]

From the attachment

L = 16; W =11 and H =13

So:

[tex]V = 16*11*13[/tex]

[tex]V = 2288[/tex]

Next, calculate the volume of the blue wrap

[tex]V = lwh[/tex]

From the attachment

l = 9; w =9 and h =2

So:

[tex]V_1 = 9 * 9 * 2[/tex]

[tex]V_1 = 162[/tex]

Next, calculate the volume of the pink wrap

[tex]V = lwh[/tex]

From the attachment

l = 6; w =5 and h =7

So:

[tex]V_2 = 6*5*7[/tex]

[tex]V_2 = 210[/tex]

The volume of the rest space (V3) is then calculated as:

[tex]V_3 = V - V_1 -V_2[/tex]

[tex]V_3 = 2288 - 162 -210[/tex]

[tex]V_3 = 1916[/tex]

Hence, the rest volume is 1916in^3\

Answer:

23 Points

Explanation:  

The answer you are looking for is 23 points per game.

To find this answer, you simply divide 138 by 6.

I hope this helps!

Answer:

The required answer is 7.

Step-by-step explanation:

=10*70/100

=7