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3 years ago

Which polynomial represents the difference below? (8x^2 + 9) - (3x^2 + 2x + 5)

Mathematics

2 answers:

MariettaO [177]3 years ago

5 0

Answer: The correct option is (A) $5x^2-2x+4.$

Step-by-step explanation: We are given to select the polynomial that represents the following difference :

$D=(8x^2+9)-(3x^2+2x+5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the required difference, we need to subtract the coefficients of the same powers of the unknown variable x.

From (i), we get

$D\\\\=(8x^2+9)-(3x^2+2x+5)\\\\=8x^2+9-3x^2-2x-5\\\\=(8-3)x^2-2x+(9-5)\\\\=5x^2-2x+4.$

Thus, the required difference is $5x^2-2x+4.$

Option (A) is CORRECT.

astraxan [27]3 years ago

3 0

the answer is......... A

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A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $28. Opti

irina [24]

Answer:

$9500

Step-by-step explanation:

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week= 19 X 40 = $760

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, 8x/100= 760

Or, 8x= 76000

Or, x= 76000/8= 9,500

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8 0

3 years ago

Read 2 more answers

Write a rule for the linear function in the table.

JulijaS [17]

Answer:

I guess that you want to know the transformations:

We start with:

f(x) = y = 4*x + 3

a)the transformed function is:

f(x) = y = -4*x - 3

So the sign changed.

This means that we go from (x, y) to (x, - y)

This is a reflection over the x-axis which changes the sin of the y component.

b) Now we go to f(x) = 4*x + 3

So the coefficient in the leading term changed.

This is a horizontal contraction:

A horizontal contraction of factor K for the function g(x) is: g(K*x)

In our case, we have:

f(K*x) = 4*(k*x) + 3 = x + 3

4*k*x = x

4*k = 1

k = 1/4

Then the transformation is an horizontal contraction of scale factor 1/4.

6 0

3 years ago

Evaluate. 43 – 4:25 ο ο ο ο

meriva

This is an improper. Perhaps you can fix it, so that I can assist you with it? I apologise.

4 0

3 years ago

4. Asia is designing a triangular-shaped window with a height of 15 inches and

Anni [7]

Answer:

18in

Step-by-step explanation:

Given data

Height h= 15 in

Area= 135 in^2

The expression for the area is given as

Area= 1/2 Base * Height

substitute

135= 1/2* Base*15

135= 7.5 Base

Base= 135/7.5

Base= 18 in

Hence the base is 18in

3 0

2 years ago

In a large school, it was found that 71% of students are taking a math class, 77% of student are taking an English class, and 58

Anni [7]

Answer:

P (Math or English) = 0.90

Step-by-step explanation:

* Lets study the meaning of or , and on probability

- The use of the word or means that you are calculating the probability

that either event A or event B happened

- Both events do not have to happen

- The use of the word and, means that both event A and B have to

happened

* The addition rules are:

# P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen

at the same time)

# P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they

have at least one outcome in common)

- The union is written as A ∪ B or “A or B”.

- The Both is written as A ∩ B or “A and B”

* Lets solve the question

- The probability of taking Math class 71%

- The probability of taking English class 77%

- The probability of taking both classes is 58%

∵ P(Math) = 71% = 0.71

∵ P(English) = 77% = 0.77

∵ P(Math and English) = 58% = 0.58

- To find P(Math or English) use the rule of non-mutually exclusive

∵ P(A or B) = P(A) + P(B) - P(A and B)

∴ P(Math or English) = P(Math) + P(English) - P(Math and English)

- Lets substitute the values of P(Math) , P(English) , P(Math and English)

in the rule

∵ P(Math or English) = 0.71 + 0.77 - 0.58 ⇒ simplify

∴ P(Math or English) = 0.90

* P(Math or English) = 0.90

8 0

3 years ago