Solve 18 > 12 + x. Graph the solution.

Answer:

[tex](f \cdot g)(x)=2x^5+x^4-x^3+6x^2+3x-3[/tex]

Step-by-step explanation:

Given functions:

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

[tex]g(x)=2x^2+x-1[/tex]

Therefore:

[tex]\begin{aligned}(f \cdot g)(x) & =f(x) \cdot g(x)\\& = (x^3+3)(2x^2+x-1)\\& = x^3(2x^2)+x^3(x)+x^3(-1)+3(2x^2)+3(x)+3(-1)\\& = 2x^5+x^4-x^3+6x^2+3x-3\end{aligned}[/tex]

Answer:

  1900 cm²

Step-by-step explanation:

We can use the given ratios and volume to find the scale factor for the dimensions. Knowing the dimensions, we can compute the surface area using the formula for a cuboid.

__

Let k represent the scale factor. Then the actual dimensions will be 5k, 4k, and 2k. The actual volume will be ...

  V = LWH

  5000 cm³ = (5k)(4k)(2k) = 40k³

  k³ = (5000 cm³)/40 = 125 cm³

  k = ∛(125 cm³) = 5 cm

The cuboid dimensions are 5(5 cm) = 25 cm, 4(5 cm) = 20 cm, and 2(5 cm) = 10 cm.

__

The surface area of the cuboid can be computed from ...

  A = 2(LW +H(L +W))

  A = 2((25 cm)(20 cm) +(10 cm)(25 +20 cm))

  A = 2(500 cm² +(10 cm)(45 cm)) = 2(950 cm²) = 1900 cm²

The surface area of the cuboid is 1900 cm².

Answer:

5. Mean = 11.5

6. Median = 11

7. Range = 12

8. Mode = 9 and 11

9. Interquartile Range (IQR) = 5

10. Mean Absolute Deviation (MAD) = 2.8

11. Just Replace the Values just like the example image.

12. Just draw the min = 7 and max = 19 dot plot.

Step-by-step explanation:

Mean = (9+9+14+7+12+8+11+19+15+11)/10 = 115/10 = 11.5

Mean = 11.5

Median: 7,8,9,9,11,11,12,14,15,19

Median in the center = 11

Range: Big Number -  Small Number

Range = 19 - 7 = 12

Range = 12

Mode = 9 and 11

Interquartile Range (IQR): Q3 - Q1

Q3 = 14 , Q1 = 9

IQR = 14 - 9 = 5

IQR = 5

Mean Absolute Deviation (MAD): ( |7 - 11.5|+ |8 - 11.5| + ... + |15-11.5| + |19-11.5| )/10

MAD = ( 4.5 + 3.5 + 2.5 + 2.5 + 0.5 + 0.5 + 0.5 + 2.5 + 3.5 + 7.5 )/10 = 28/10 = 2.8

MAD = 2.8

A

Step-by-step explanation:

hope it helps

Step-by-step explanation:

m is for slope of the line that passes through

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]m = \frac{9 - 4}{3 - 9} [/tex]

[tex]m = \frac{5}{ - 6} = - \frac{5}{6} [/tex]

Answer:

    6. 1/8

    7. 1/16

    8. 3/16

Step-by-step explanation:

Question 6

Question 7

Question 8

Answer:

8=5/4*-4+(b)

b=3

hence

y=(5/4)x+3

Answer:

Subtract 4 from 17, then divide by 3.

Step-by-step explanation:

hope this helps =)

Answer:

It would not

Step-by-step explanation:

(12-4)=4+1 would be 8=5

12-4=4+1 would also be 8=5

Find total surface area

Now

TSA

Answer:

111.5 cm²

Step-by-step explanation:

Fabric needed to cover paperweight = Surface Area

Surface Area

Answer:

The equation of the circle with the origin as centre and passing through the point A(-2;4)

Answer:

$153

Step-by-step explanation:

4.25 times 3 = 12.75 so its 12.75 percentage of 1200. Which is $153.

Answer:

1 number= 4.5

2 number= 3.5

Step-by-step explanation:

The number of the adult leaders will be 4

A Number of cub scouts in troop 584 is = 25 .As per the statement given in the question "The number of scouts is 5 more than five times the number of adult leaders"

Number of scouts = 5(Number of adults) + 5

Here number of scouts = 25

Therefore, the equation will become as

25 = 5(Number of adults) + 5

5(Number of adults) = 25 - 5

5(Number of adults) = 20

(Number of adults) = 20/5=4

Hence the number of the adult leaders will be 4

To know more about relation questions follow

https://brainly.com/question/10286547

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[tex]\sf \large \boxed{110 ^\circ}[/tex]

Answer:

s = -1

Step-by-step explanation:

7 = -10s -3 <== add 3 to both sides

+3        + 3

10 = -10s <== divide both sides by -10

/-10    /-10

-1 = s

Final answer: -1 = s  or  s = -1

Hope this helps!

Answer:

you wold more likly get a red than a green

Step-by-step explanation:

[tex]\text{Given that,}~ (2x+5, 7)=(7,y)\\\\\text{So,}~ y = 7 ~ \text{and}~2x +5 = 7\\\\~~~~~~~~2x+ 5=7 \\\\\implies 2x = 7- 5 \\\\\implies 2x = 2\\\\\implies x = \dfrac 22 \\\\\implies x = 1\\\\\text{Hence,}~~ x = 1 ~ \text{and}~ y = 7[/tex]

If the equations are the same then the solution will be the same. Then the correct option is D.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equations are given below.

-3x - 8 = 19 ...1

-3x - 2 = 25 ...2

Adding 6 on both sides in equation 1, then we have

-3x + 6 - 8 = 19 + 6

     -3x - 2 = 25

The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

If the equations are the same then the solution will be the same.

More about the linear system link is given below.

https://brainly.com/question/20379472

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Answer:

line will be horizontal running through (0,2)

Step-by-step explanation:

6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.

Answer:

the length of the third side is 21

Step-by-step explanation:

let P be the perimeter of the triangle

    a the length of the first and second sides

    b the length of the 3rd side

…………………………………………………

Then

P = a + a + b

  = 2a + b

Where b = a + 6

Therefore

P = 2a + (a + 6)

  = 3a + 6

We substitute the numbers we have into the equation:

51 = 3a + 6

⇔ 45 = 3a

⇔ a = 15

Since b = a + 6 then b = 15 + 6 = 21

Answer:

A) [tex]\displaystyle \frac{2\sqrt{5}}{5}[/tex]

Step-by-step explanation:

Since [tex]\csc\beta=\frac{1}{\sin\beta}[/tex], [tex]\sec\beta=\frac{1}{\cos\beta}[/tex], and [tex]\cot\beta=\frac{\cos\beta}{\sin\beta}[/tex], then [tex]\cot\beta=\frac{\csc\beta}{\sec\beta}[/tex]

This means that [tex]\displaystyle \cot\beta=\frac{-\frac{3\sqrt{5}}{5}}{-\frac{3}{2}}=\frac{-3\sqrt{5}}{5}*-\frac{2}{3}=\frac{2\sqrt{5}}{5}[/tex]

Answer:

B) 1/4 gallon

Step-by-step explanation:

There is 5/8 in a jug

[tex]\sf \dfrac{5}{8}=\dfrac{2}{8}+\dfrac{1}{8}+\dfrac{1}{8}+\dfrac{1}{8}[/tex]

There are 3 jugs containing (1/8). To these jugs 1/8 of the juice from (5/8) is poured.

So, now all the jugs will have (2/8) = 1/4

Answer:

Hello the answer would be A units up because my caluaitons Sense that it is A

Answer:

Step-by-step explanation:

1g = 0.001 kg.

82.5g = 0.001 x 82.5 kg

= 0.0825 kg

= 825/1000 kg

answer :

[tex]C=\frac{265}{9}[/tex]

work:

[tex]F=85[/tex] °[tex]C[/tex]

[tex]F= 85[/tex] into [tex]C=\frac{5}{9}(F-32)[/tex]

[tex]C=\frac{5}{9}[/tex] x [tex](85-32)[/tex]

[tex]C=\frac{265}{9}[/tex]

Answer:

the X axis line which bisects the y axis with an angle of 90 degrees

Answer:

the independent variable is s

the dependent one is m

hope this helps <3