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geniusboy [140]
3 years ago
7

Express the product of 2x^2+6-8 and x+3 in standard form

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:2x3+12x2+10x−24Explanation:The product of these expressions 'means' to multiply them. hence :  (x + 3 )(2x2+6x−8) Each term in the 2nd bracket must be multiplied by each term in the 1st.This can be achieved as follows.x(2x2+6x−8)+3(x2+6x−8[2x3+6x2−8x[6x2+18x−24]=2x3+6x2−8x+6xx−24 collect 'like terms'=2x3+12x2+10x−24 is in standard form

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Calculate the length b to two decimal places.
Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:        

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta

Upon substituting our given values in the formula we will get,

(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)  

(AC)^{2}=225+144-360\text{ cos}(106)      

(AC)^{2}=369-360(-0.275637355817)      

(AC)^{2}=369+99.22944809412    

(AC)^{2}=468.22944809412

Upon taking square root of both sides of our equation we will be get,

AC=\sqrt{468.22944809412}

AC=21.6386101238993629\approx 21.64  

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0
3 years ago
Finish the following table for the given function with x as thr independent variable.
konstantin123 [22]
The answer is c.0.1,0.05.0.025.
We can find these by substituting the x values on the table given into the equation; h(x)=1/x.
5 0
3 years ago
Read 2 more answers
Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his o
Nesterboy [21]

Answer: The cost of each game is $2.50

Step-by-step explanation:

Let's find the equations for each friend:

Friend 1:

Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:

$3 + 3*X

Friend 2:

This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:

$0.50 + 4*X

And we know that both friends pay the exact same amount, then we can write:

$3 + 3*X = $0.50 + 4*X

And solve this for X.

We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:

$3 - $0.50 = 4*X - 3*X

$2.50 = (4 - 3)*X = X

This means the cost of each game is $2.50

4 0
3 years ago
Help 7th grade math pls
madam [21]

Answer:

1,455 feet

Step-by-step explanation:

Step 1:

1 : 75    Ratio Inches to Feet

Step 2:

1 : 75 = 19.4 : x   Equation

Answer:

x = 1,455  Multiply

Hope This Helps :)

4 0
3 years ago
Read 2 more answers
Any suggestions or answers
OLEGan [10]
2nd answer.

any pts in the shaded region satisfies your simultaneous equation.
5 0
3 years ago
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