MATHEMATICS HIGH SCHOOL

What is the product of (2p + 7)(3p2 + 4p – 3)?A=6p3 + 29p2 – 34p + 21
B=6p3 + 29p2 – 22p + 21
C=6p3 + 29p2 + 22p – 21
D=6p3 + 29p2 + 34p – 21

Answers

Answer 1
Answer: The answer is C=6p3 + 29p2 + 22p – 21

To calculate the product, we need to multiply each member of each multiplier:
(2p + 7)(3p2 + 4p – 3) = 2p · 3p² + 2p · 4p + 2p · -3 + 7 ·3p² + 7 · 4p + 7 · -3
                                    =    6p³     +     8p²    -     6p    + 21p²   +  28p   -     21
                                    = 6p³ + 8p² + 21p² + 28p - 6p -21
                                    = 6p³ + 29p² + 22p - 21

Therefore, the product of (2p + 7)(3p2 + 4p – 3) is 6p³ + 29p² + 22p -21
Answer 2
Answer:

Answer:

c

Step-by-step explanation:

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What is 76/100 simplified
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I need an equation for this problem: A small golf club manufacturer is concerned about their monthly costs. The shop has fixed costs of $23,250 per month to run in addition to the $145 in materials per set of golf clubs produced. If the company wants to break-even making 100 sets of clubs per month, what should they charge for each set? Recall that the break-even point is when revenue equals costs. I solved it and the answer is 377.50 but i need a proper equation for my answer

Answers

100 = number of sets of clubs manufactured per month
S = sell-price for a set of clubs

Expenses per month = 23,250 + 145(100)  = 37,750

Revenue per month = 100 S

Break-even when Expenses = Revenue

100 S = 37,750

One question:  How did you solve it without an equation ?

If x is a number that is 7 more than y, how do you express x as a function of y?

Answers

Hi Mella,

So we basically have:
⇒ x = 7 + y

In order to write this in terms of y, then basically we just have to solve for y.  To do this, let's look at the equation again to see how we can get y by itself.

⇒ x = y + 7 

If we subtract 7 from both sides, we now have

⇒ x - 7 = y which is the same as y = x - 7.

x is now expressed as a function of y.

-Hope this helps!
I think that it's x=7+y

Write an equation to represent this line in point slope and slope intercept form....need help please..thanks.

Answers

We can use rise over run to determine the slope is 5/8. Using this slope and the point (5,2) we can write the equation: y-2 = 5/8 (x-5) 

Decimal form of 5/8 is .625 , so it could be written y-2 = .625*(x-5)

The cost for a package of five plain T-shirts is $11.35. If c represents the cost of each individual T-shirt, the equation 5c = 11.35 can be used to find the value of c. Solve for c.

Answers

Answer:

Its actually 2.27

Step-by-step explanation:
five t-shirts in a pack for 11.35$. 11.35$ / 5 shirts = 2.26$ per shirt

A kite, flying 50 feet high in the air is attached by a string to a stake in the sand. How long is the string to the nearest tenth of a foot?a) 50.0 feet
b) 70.7 feet
c) 86.6 feet
d) 100.0 feet ...?

Answers

Height of the kite from the ground = 50 feet
Angle at which the kite is flying = 45 degrees
Let us assume the length of the string = x feet
Then
x = 50 * (square root 2)
   = 50 * 1.414
   = 70.7 feet
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the second option or option "b". 

Answer:

the answer is b) 70.7 feet

Step-by-step explanation:

thank you for amazing answers on the board.

I NEED HELP FAST. DUE TOMORROW

Answers

so it asks you to use the quadratic formula which is when you have ax^2+bx+c=0 then you put it into the quadratic formula which is x=((-b+-√(b^2-4ac))/(2a))

so 8x^2+3x=-7
add 7 to both sides
8x^2+3x+7=0

put into the quadratic formula
8x^2+3x+7=0
ax^2+bx+c=0
x=((-b+-√(b^2-4ac))/(2a))
x=((-3+-√(3^2-4(8)(7)))/(2(8)))
 solve inside of square root first
3^2-4(8)(7)=pemdas 9-4(8)(7)=9-224=-215

so -3+-√-215
we know that square root of negative is not real and is immaginary so i must be involved
√-1=i so
-215=i√215
so the answer is A






CONTINUATION
i√215=i(15)=15i
-3+-15i means -3+ or minus 15i
then solve for botom part
2(8)=16
(-3+-15i)/16
so the answers are (-3+15i)/16 and (-3-15i)/16
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