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inessss [21]
2 years ago
15

Han is multiplying by and gets . He says that is not a polynomial because 0.5 is not an integer. What is the error in Han’s thin

king? Explain your reasoning.
Mathematics
1 answer:
Marina86 [1]2 years ago
4 0

Step-by-step explanation:

Han is multiplying10x^4 by 0.5^3 and gets 5x^7 is not a polynomial because 0.5 is not an integer. What is the error in han’s thinking explain

On multiplying 10x⁴ by 0.5x³,

10x^4\times 0.5x^3=(10\times 0.5)x^{4+3}\\\\=5x^7

A polynomial is a combination of coefficients and variables. It is made up of one or more monomial. Han says that it is not a polynomial because 0.5 is not an integer. The statement is false. After multiplication we get 5x⁷. It has a variable x and constant 5. Hence, its is a polynomial.

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3 0
2 years ago
To make f continuous at x=2 , f(2) should be defined as what value? Justify your answer.
yawa3891 [41]

Answer:

To make f continuous at x=2, f(2) should be defined x = 2.

Step-by-step explanation:

A function, let say f(x), is defined at x = c is continuous at x = c

If the limit of f(x) as x approaches c is equal to the value of f(x) at  x = c.

Mathematically it is written as:

if

\lim _{x\to c}\:f\left(x\right)=f\left(c\right)

then

f(x) is continuous at  x = c.

So from the above definition, we conclude that:

To make f continuous at x=2, f(2) should be defined x = 2.

i.e.

if

\lim _{x\to 2}\:f\left(x\right)=f\left(2\right)

then

f(x) is continuous at  x = 2.

8 0
2 years ago
Answer below these questions
timurjin [86]

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

3 0
2 years ago
As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o
wlad13 [49]

Answer:

22

Step-by-step explanation:

Solve the inequality  (20 + 0.5x) + 0.15(20 + 0.5x)   ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x:  39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

4 0
2 years ago
The net of a triangular prism is shown below. What is the surface area of the prism? A. 128 cm^2 B. 152 cm^2 C. 176 cm^2 D. 304
shtirl [24]

Answer:

B. 152 cm²

Step-by-step explanation:

To find the surface area using a net, do this:

Take apart the figure. We see that there are three rectangles and two triangles. Find the area of each (A=l*w) and then add the values together:

The first rectangle on the left is the same as the one on the right.

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The middle rectangle is:

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The formula for the area of a triangle is A=\frac{1}{2}*b*h:

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The area of the two triangles is 12 cm².

Now add the values:

40+40+48+12+12=152

The area of the figure is 152 cm².

:Done

4 0
2 years ago
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