What is the value of x?

This is a 3-D container and the dimensional factor is F=3.  The volume increases by a factor of 33 = 27.

The answer is 4608 x 27 / 123 = 72

By finding the roots of the polynomial, we conclude that the correct graph is the second one.

Here we have the polynomial:

[tex]f(x) = x^3 + x^2 - 2x[/tex]

To identify it, we need to find the roots, we can rewrite the equation as:

[tex]f(x) = x*(x^2 + x - 2)[/tex]

And we can rewrite the last part by using the Bhaskara's formula:

[tex]x = \frac{-1 \pm \sqrt{1^2 + 4*2} }{2} \\\\x = (-1 \pm 3)/2[/tex]

Then the roots are:

x = -2

x = 1

Then we rewrite:

[tex]f(x) = x*(x + 2)*(x - 1)[/tex]

So the roots are at x = 0, x = -2, and x = 1.

The graph with these roots is the second graph (top right).

If you want to learn more about polynomials:

https://brainly.com/question/4142886

#SPJ1

Answer:

y₁ = |x+6|  ; y₂ = 25

Step-by-step explanation:

|x+6| - 12 < 13

⇔ |x+6| < 25

Equation for the given inequality is equals to [tex]y_{1} =| x+ 6| , y_{2} =25[/tex]

" Inequality is defined as the algebraic expression which represents the relation between two variables using sign of inequality."

According to the question,

Given inequality,

|x+6| - 12 < 13

Add both the side of the inequality 12 we get ,

|x+6| - 12+12< 13 + 12

⇒  |x+6| < 25

As represent in the graph equation for the given inequality are,

[tex]y_{1} =| x+ 6| , y_{2} =25[/tex]

Hence, equation for the given inequality is equals to [tex]y_{1} =| x+ 6| , y_{2} =25[/tex].

Learn more about inequality here

https://brainly.com/question/20383699

#SPJ2

Natural numbers are those that can be counted and ordered. The two consecutive whole numbers between which √37 lies are 6 and 7.

Natural numbers are those that can be counted and ordered. Cardinal numbers are those used for counting, while ordinal numbers are those used for ranking.

The value of √37 is equal to 6.0827 units. Therefore, the two consecutive whole numbers between which √37 lies are 6 and 7.

Learn more about Natural Numbers:

https://brainly.com/question/17429689

#SPJ1

Answer:

a. sides BC & EF

b. <A & <D

2a. A / B, not that sure

The product of the expression assuming x greater-than-or-equal-to 0 is; (30x√30).

The product of the expression assuming the fact that x greater-than-or-equal-to 0 can be evaluated as follows;

(√(3x) × √5) (√15x × 2√30)

(√15x × 2√450x)

(2√6,750x²)

(30x√30)

Read more on product of roots;

https://brainly.com/question/10472360

#SPJ4

Answer:

Your answer would be 24 but then if you  round it to the nearest tenth the you would have 20

Step-by-step explanation:

i hope this helps

Answer:

going from left to right

1. 1/2

2. 3/4

3. 1 1/4

4. 1 1/2

5. 1 3/4

6. 2 1/2

7. 2 3/4

8. 3 1/2

9. 3 3/4

since 1/2 is > 1/4

and 3/4 is > 1/2

whenever you have a number in front of a fraction, it goes between the number it is (say 3) and the number after (4)

hope this helps:)

Answer:

{1, 2, 3, 4}

Step-by-step explanation:

Concepts

The domain of a function is all the possible x-values for that function. In other words, it's all the x-coordinates listed in the graph.

Application

In this case, we have to list the domain of the given function. To do this, we have to first label the points, and then list their x-coordinates in increasing order.

Solution

Points:

X-Coordinates:

Domain:

If no train has more than 25 seats. Then the number of cars in the first, second, and third train will be 17, 18, and 20 respectively.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Three trains are made of identical train cars, so each car has the same number of seats.

The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats.

If no train has more than 25 seats.

Then the number of the cars on each train will be

Let x, y, and z be the number of the cars in the first, second, and third train.

Then we have

x = 418 / 25

x = 16.75

x ≅ 17

y = 456 / 25

y = 18.24

y ≅ 18

z = 294 / 25

z = 19.76

z ≅ 20

More about the division link is given below.

https://brainly.com/question/369266

#SPJ1

Answer:

11 cars in the 1st train, 12 cars in the 2nd train and 13 cars in the 3rd train

Step-by-step explanation:

There is a difference of 38 between the numbers 418, 456 and 494.

[tex]418/38=11\\456/38=12\\494/38=13[/tex]

Trust me, this is 100% the correct answer!

hope this helps!

Answer: The area of the square is 400sqf.

Answer 2: Area of circle = 509.31 square feet.

Answer 3: The circle because the circle's are is larger

Answers:

==========================================================

Explanation:

The rope forms the perimeter of each shape. This is the distance around the outer edges.

The square has all four sides the same length. Since we have 80 feet of rope, each side must be 80/4 = 20 feet long.

The area of the square is 20*20 = 400 square feet.

--------------

The circle has a circumference of 80 feet, which leads to a radius of...

C = 2*pi*r

r = C/(2pi)

r = 80/(2pi)

r = 12.732395

which is approximate. I used my calculator's stored version of pi so I could get the most accuracy possible.

Then use this to find the area of the circle

A = pi*r^2

A = pi*(12.732395)^2

A = 509.295782

This value is also approximate.

When rounding to the nearest whole number, we get A = 509

The area of the circle is about 509 square feet.

The circle has the largest area.

Answer: 11.2

I found the answer in the comments and figured I should make it an answer, so it's easy to find:)

<3

Answer:

-2 and 1/4

Step-by-step explanation:

1/4 is equal to 0.25

2/5 is equal to 0.40

Because it is negative, 1/4 is considered greater.

there are "x" amount of cars in the lot, and oddly enough that's 100%, if we know that 60 is 40% of that, what is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 60& 40 \end{array} \implies \cfrac{x}{60}=\cfrac{100}{40}\implies \cfrac{x}{60}=\cfrac{5}{2} \\\\\\ 2x=300\implies x=\cfrac{300}{2}\implies x=150[/tex]

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.

Learn more about Unit conversion here:

https://brainly.com/question/11795061

#SPJ1

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the given expression can be solved as follows ~

[tex] \frac{x}{13} - 1 = \frac{5x}{2} + \frac{1}{2} \\ [/tex]

taking LCM both the sides ,

[tex] \frac{x - 13}{13} = \frac{5x + 1}{2} \\ [/tex]

on cross multiplying ,

[tex](x - 13)2 = (5x + 1)13 \\ \\ \implies \: 2x - 26 = 65x + 13[/tex]

let's now gather the like terms at either sides of the equation ~

[tex]65x - 2x = - 26 - 13 \\ \\ \implies \: 63x = - 39 \\ \\ \implies \: x = \frac{\cancel{ - 39}}{\cancel{63}} [/tex]

on simplifying the equation ,

[tex] \implies \frac{-13}{21}\\[/tex]

hope helpful ~

Answer:

38cm

Step-by-step explanation:

set 3x-5 and 19-x equal to eachother, since, given as its an isoscles triangle, they should be equal. After you work out the equation, you're left with x=6. So now you plug that it.

3(6)-5=13

19-(6)=13

2(6)=12

Now you add them all together, so the perimeter is 38 cm.

Answer:

one time

Step-by-step explanation:

because after that you would subtract by 20

Answer:

BC = 25 in

AN = 12 in

BN = 16 in

NC = 9 in

Formulas:

Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Area of triangle

[tex]A = \frac{1}{2}bh[/tex]

A ... area of triangle

b ... base (one of the sides of the triangle)

h ... height perpendicular to base

Step-by-step explanation:

Given:

A = 90°

AB = 20 in

AC = 15 in

See attached picture.

1) BC

To find BC we can use Pythagorean theorem, since ABC is a right triangle. We have the lengths of two legs (AB, AC) and we are finding the hypotenuse.

[tex]c^2 = a^2 + b^2\\\text{BC}^2 = \text{AB}^2 + \text{AC}^2\\\text{BC}^2 = 20^2 + 15^2\\\text{BC}^2 = 625\\\sqrt{\text{BC}^2} = \sqrt{625}\\\text{BC} = 25 \text{ in}[/tex]

2) AN

AN is the height corresponding to base BC. To find it we can use formula for the area of the triangle. But first let's find the area of the triangle.

Notice how AB is perpendicular to AC. We can use AB as base and AC as height.

[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{AB} \times \text{AC}\\\\A = \frac{1}{2} \times 20 \times 15\\\\A = 150 \text{ in}^2[/tex]

Now that we have area, we can use BC as base and AN as height and solve for AN.

[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{BC} \times \text{AN}\\\\150 = \frac{1}{2} \times 25 \times \text{AN}\\\\\ 300 = 25 \times \text{AN}\\\\12 = \text{AN}\\\\\text{AN} = 12 \text{ in}[/tex]

3) BN

Let's use Pythagorean theorem in right triangle ABN. Hypotenuse is AB.

[tex]c^2 = a^2 + b^2\\\text{AB}^2 = \text{AN}^2 + \text{BN}^2\\20^2 = 12^2 + \text{BN}^2\\400 = 144 + \text{BN}^2\\256 = \text{BN}^2\\\sqrt{256} = \sqrt{\text{BN}^2}\\16 \text{ in} = \text{BN}[/tex]

4) NC

We know the lengths of BC an BN, so we can just subtract.

[tex]\text{NC} = \text{BC} - \text{BN}\\\text{NC} = 25 - 16\\\text{NC} = 9 \text{ in}[/tex]

Answer:

the best answer is B

commending, is the act of praise or approval

C

Answer:

Why because u and the person sharing room, he or she is not slave to you. he or she do 50 percent and you 50 percent to keep peace in the room. steps why if the person say they are moving out then in that case who will clean the room

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

A. Red/Line C

Step-by-step explanation:

Answer:

c. y=4x+24

Step-by-step explanation:

To identify the equation, the equation must satisfy the points (-5,3).

putting x as -5 should give us y=3

c. y = 4x + 23

y = 4 * (-5) + 23

y = -20 + 23

y = 3

[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

Identify an equation in slope-intercept form for the line parallel to y = 4x - 9

that passes through (-5,3).

[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

If lines are parallel to each other, they have the same slope.

If a line is parallel to [tex]\bold{y=4x-9}[/tex], and the slope of this line is 4, then the slope of the line that's parallel to [tex]\bold{y=4x-9}[/tex] also has a slope of 4.

All right, we know the slope, but that's part of the slope-intercept equation,

We also need to identify the y-intercept; one way to find it (the one I always use) is the point-slope form.

Point-slope form looks like so:-

[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with 3, m with 4, and x1 with -5:-

[tex]\longmapsto\sf{y-3=4(x-(-5)}[/tex]

On simplification,

[tex]\longmapsto\sf{y-3=4(x+5)}[/tex]

On further simplification,

[tex]\longmapsto\sf{y-3=4x+20}[/tex]

On further simplification,

[tex]\longmapsto\sf{y=4x+20+3}[/tex]

Final equation:-

[tex]\longmapsto\sf{y=4x+23}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5

Answer:

49 and 51

Hope it helps

Answer:

1. You can solve this problem by applying the Tangent Secant Theorem. Then, you have:

YX²=(YZ)(YV)

YX=√(YZ)(YV)

YZ=9+19

YV=9

2. When you substitute the values of YZ and YV into YX=√(YZ)(YV), you obtain:

YX=√(YZ)(YV)

YX=√(9+19)(9)

YX=√(28)(9)

YX=√252

YX=15.87

What is the length of YX?

The answer is: The lenght of YX is 15.87

The statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.

The second solid line has a positive slope and goes through (0, - 4) and (3, -2). Everything above the line is shaded.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have two inequality:

2x – 3y <12

y < –3

If we draw these two inequalities on the graph, we will see:

On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded.

The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.

Thus, the statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

  A birthday cake is divided equally between 9 people.

What fraction of the cake does each person have?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}[/tex]

[tex]\ast[/tex] Remember, a fraction looks like:-

[tex]\boxed{\frac{\xrightarrow{numerator}x}{\xrightarrow{denominator}{y}}}[/tex]

Where:-

In this case we divide a cake equally between 9 people, so we divide the cake into 9 parts, and each person gets a part of the cake.

So we have a fraction as follows:-

[tex]\dfrac{?}{9}[/tex]

Now, each person gets 1 part. 1 becomes our numerator:-

[tex]\dfrac{1}{9}[/tex]

[tex]\uparrow\sf{Our\:Answer}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

11, 29, 9

Step-by-step explanation:

substitute x = - 2, 4, 0 into h(x)

h(- 2) = (- 2)² + (- 2) + 9 = 4 - 2 + 9 = 2 + 9 = 11

h(4) = 4² + 4 + 9 = 16 + 4 + 9 = 29

h(0) = 0² + 0 + 9 = 0 + 0 + 9 = 9