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3 years ago

Choose the expression that represents a cubic expression.

Mathematics

2 answers:

Step2247 [10]3 years ago

5 0

Answer:

B) 10x³ - 6x² - 9x + 12

Step-by-step explanation:

Anna007 [38]3 years ago

3 0

Answer:

10x³ - 6x² - 9x + 12 is a cubic expression ⇒ 2nd

6x + 6 is a linear expression ⇒ 1st

5x² + 9x - 1 is a quadratic expression ⇒ 2nd

Quadratic expression ⇒ 1st

Step-by-step explanation:

* Lets explain the degree of any expression

- The degree of any expression is the greatest power of the variable

- Ex:

# 3x - 3 is a first degree expression

# x² - 3x + 2 is a second degree expression

# 5x³ - 2x² + 5x - 2 is a third degree expression

- The first degree expression is called linear expression

- The second degree expression is called quadratic expression

- The third degree expression is called cubic expression

* Lets solve the problem

∵ The cubic expression is the expression with greatest power of 3

∴ 10x³ - 6x² - 9x + 12 is the cubic expression

∵ The linear expression is the expression with greatest power of 1

∴ 6x + 6 is a linear expression

∵ The quadratic expression is the expression with greatest power of 2

∴ 5x² + 9x - 1 is a quadratic expression

∵ The expression is -2x² + 11

∵ The greatest power of x is 2

∴ -2x² + 11 is a quadratic expression

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3 years ago

A cylindrical plastic pipe’s length is 12 cm and it’s radius is 2.5 cm. To the nearest tenth, what is the volume of the pipe?

NemiM [27]

Answer:

V = 235.6 cm³

Step-by-step explanation:

the formula for the volume of a cylinder of radius r and length h is

V = πr²h.

Here, r = 2.5 cm and h = 12 cm, so the volume is:

V = π(2.5 cm)²(12 cm) = 75π cm³

To the nearest tenth, this volume would be V = 235.6 cm³

7 0

3 years ago

Read 2 more answers

Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartF

Ghella [55]

Rahul use addition property of equality in step 2.

Solution:

The image of the question is attached below.

Step 1:

$$2 x-\frac{1}{4}-\frac{3}{5} x=\frac{55}{4}$

combine like terms together.

$$2 x-\frac{3}{5} x-\frac{1}{4}=\frac{55}{4}$

To make the denominator same multiply and divide 2x by 5.

$$\frac{10}{5} x-\frac{3}{5} x-\frac{1}{4}=\frac{55}{4}$

Step 2:

$$\frac{7}{5} x-\frac{1}{4}=\frac{55}{4}$

By addition property of equality, add $\frac{1}{4}$ on both side of the equation.

$$\frac{7}{5} x-\frac{1}{4}+\frac{1}{4}=\frac{55}{4}+\frac{1}{4}$

Step 3:

$$ \frac{7}{5} x=\frac{56}{4}$

Step 4:

Multiply by $\frac{5}{7}$ on both side of the equation.

$x=10$

Hence Rahul use addition property of equality in step 2.

3 0

3 years ago

Read 2 more answers

the diameter of the circle base of a storage container 18.8 m circumference of the base is approximately 59 m which of these cou

ozzi

Answer:

Estimate the value of pi =3.14

Step-by-step explanation:

The diameter of the circle base of a storage container 18.8m

The diameter of the circle 'd' = 2r

Given data 'd' = 2r = 18.8m

The circumference of the circle = 2πr

Given data of circumference of the circle = 59 m

given 2πr = 59

2r(π) = 59

18.8 π = 59 ( by using 2r =18.8)

π = 59/18.8

π = 3.13829

π = 3.14

<u>Conclusion</u>:-

Estimate the value of pi =3.14

6 0

3 years ago

What sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 95

nevsk [136]

Answer: 12

Step-by-step explanation:

The formula to find the sample size is given by:-

$n=(\dfrac{z_c\cdot \sigma}{E})^2$ , where $\sigma$ is the population standard deviation, $z_c$ is the z-value for the $(1-\alpha)$ confidence interval and E is the margin of error .

As per given , we have

Population standard deviation : $\sigma=5.1$

z-value for 95% confidence interval : $z_c=1.960$

Margin of error : E= 3

Then, the required minimum sample :-

$n=(\dfrac{(1.96)\cdot (5.1)}{3})^2\\\\\Rightarrow\ n=(3.332)^2=11.102224\approx12$

Hence, the required minimum sample size = 12

3 0

3 years ago