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raketka [301]
2 years ago
8

Multiply the polynomials (x+2)(2x^2+9x+8)

Mathematics
2 answers:
elena-s [515]2 years ago
8 0

Answer with explanation:

We have to multiply a binomial with Trinomial.

   \rightarrow(x+2)(2x^2+9 x +8)\\\\=x \times (2 x^2+9x+8)+2\times (2 x^2+9x+8)\\\\=2x^3+9x^2+8 x+4 x^2+18 x+16\\\\ \text{adding like terms}\\\\=2 x^3+13 x^2+26 x+16\\\\ \text{used distributive property of multiplication with respect to addition and law of indices}}\\\\x^a\times x^b=x^{a+b}\\\\a \times (b+c)=a \times b+a \times c

solong [7]2 years ago
5 0
When you combine like terms you would get
2x^3+13x^2+26x+16
Have a great day!!!
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The patriot diner sells 2 cheeseburgers and one soda for $11.00 and 3 hamburgersand 2 sodas for $18.00. What is the cost of a ch
kvasek [131]

Answer: the cost of a cheeseburger is $4

Step-by-step explanation:

Let x represent the cost of one cheeseburgers.

Let y represent the cost of one Soda.

The patriot diner sells 2 cheeseburgers and one soda for $11.00. It means that

2x + y = 11 - - - - - - - - - - - 1

She also sells 3 cheeseburgers and 2 sodas for $18.00. It means that

3x + 2y = 18 - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 2, it becomes

6x + 3y = 33

6x + 4y = 36

Subtracting, it becomes.

- y = - 3

y = 3

Substituting y = 3 into equation 1, it becomes

2x + 3 = 11

2x = 11 - 3 = 8

x = 8/2 = 4

6 0
3 years ago
Which of the following inequality statements best represent the verbal expression?
Alex73 [517]

3rd option.

at least shows that the number can be equal to 2, and also that 2 should be the smallest possible value of the number.

3 0
2 years ago
Use the following information for the question. Male players at the high school, college and professional ranks use a regulation
Virty [35]

Answer:

13.567%

Step-by-step explanation:

We solve the above question, using z score formula

z = (x-μ)/σ, where

x is the raw score = 23.1 ounces

μ is the population mean = 22.0 ounces

σ is the population standard deviation = 1.0 ounce

More than = Greater than with the sign = >

Hence, for x > 23.1 ounces

z = 23.1 - 22.0/1.0

= 1.1

Probability value from Z-Table:

P(x<23.1) = 0.86433

P(x>23.1) = 1 - P(x<23.1)

P(x>23.1) = 1 - 0.86433

P(x>23.1) = 0.13567

Converting to percentage

= 0.13567 × 100

= 13.567%

Therefore, the percentage of regulation basketballs that weigh more than 23.1 ounces is 13.567%

8 0
2 years ago
The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.D1d2, where d1 and d2 are the l
Gelneren [198K]

Answer:

d1=2A/d2

d2=2A/d1

Step-by-step explanation:

The options of this question are:

1. d₁=2Ad₂

2. d₁= 2A/d₂

3. d₂= d₁/2A

4. d₁= 2A/d₂

5. d₂= 2Ad₁

Given:

A=1/2(d1*d2)

Multiply both sides by 2

We have,

2A=d1*d2

Divide both sides by d2

2A/d2=d1*d2/d2

2A/d2=d1

Therefore, d1=2A/d2

Similarly, from the previous equation

2A=d1*d2

Divide both sides by d1

2A/d1=d1*d2/d1

2A/d1=d2

Therefore,

d2=2A/d1

Options

2. d₁= 2A/d₂

4. d₁= 2A/d₂

7 0
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Sedaia [141]

Answer:

They can bike 7.2 miles in 30 minutes.

Step-by-step explanation:

2.4 * 3 = 7.2

7 0
3 years ago
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