Find the slope of 3x-4y-7=0

Answers

Answer 1
Answer: 3x-4y-7=0 \n 3x-7=4y \n 3/4x-7/4=y \n

The slope is 3/4

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Stefan loves playing basketball. He comes up with a plan to work on his free throws everyday until the season starts. He's going to shoot 100 free throws everyday for the next 12 weeks. How many free throws will he shoot over the 12 weeks?

Answers

once again, 1200 would be the correct anwser

Answer: 1200!

Hope this helps :)

Given the function f (x) = 8x2 - 14x – 10, find f -2).

Answers

Remember from now on ;

If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.

Got it ?

Now Let's do it .....

f( x) = 8 {x}^(2) - 14x - 10

f( - 2) = 8({ - 2})^(2) - 14( - 2) - 10 \n

f( - 2) = 8 * 4 + 28 - 10

f( - 2) = 32 + 28 - 10

f( - 2) = 60 - 10

f( - 2) = 50

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And we're done...

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What is the absolute value to |x|=8

Answers

Answer:

x = 8 or x = -8

Step-by-step explanation:

Answer:

absolute value will always be positive

the answer is x=8

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x^2 – x + 200. The number of toy cars sold is represented by x.If the profit is the difference between the revenue and the cost, what expression represents the profit?
3x – 260
3x + 140
5x – 260
5x + 140

Answers

Answer:

The expression which represents profit is:

                             5x-260

Step-by-step explanation:

The number of toy cars sold is represented by: x.

Now, the revenue, in dollars of a company is given by the polynomial function:

R(x)=3x^2+4x-60

and the cost, in dollars of producing the toy car is given by the polynomial expression:

C(x)=3x^2-x=200

Also, let P(x) denote the profit function.

It is given that:

Profit is the difference between the revenue and the cost.

i.e.

Profit=R(x)-C(x)\n\ni.e.\n\nP(x)=R(x)-C(x)\n\ni.e.\n\nP(x)=3x^2+4x-60-(3x^2-x+200)

( Now we know that if the sign before the parentheses is negative then the terms inside the parentheses open up with opposite signs)

i.e.

P(x)=3x^2+4x-60-3x^2+x-200\n\ni.e.\n\nP(x)=3x^2-3x^2+4x+x-6-200

( Since, on combining the like terms)

i.e.

P(x)=5x-260

Hello,

P(x)=3x²+4x-60-(3x²-x+200)=5x-260

Answer C

Determine the most efficient way to use the Binomial Theorem to show the following. (11)^4= 14641A)Write 11=5+6 and expand.
B) Write 11= 10+1 and expand.
C) Write 11= 3+3+2 and expand.
D)Write 11= 4+4+3 and expand.

Answers

The formula for binomial theorem is

(a+b)^n=( \left \ {{n} \atop {0}} \right.)a^(n)+( \left \ {{n} \atop {1}} \right.)a^(n-1)b+( \left \ {{n} \atop {0}} \right.)a^(n-2)b^2+...+( \left \ {{n} \atop {n}} \right.)b^n

Now this shall be very easy if the value of a = 1

The formula shall become

(1+b)^n=( \left \ {{n} \atop {0}} \right.)1^(n)+( \left \ {{n} \atop {1}} \right.)1^(n-1)b+( \left \ {{n} \atop {0}} \right.)1^(n-2)b^2+...+( \left \ {{n} \atop {n}} \right.)b^n

Which shall be

(1+b)^n=( \left \ {{n} \atop {0}} \right.)+( \left \ {{n} \atop {1}} \right.)b+( \left \ {{n} \atop {0}} \right.)b^2+...+( \left \ {{n} \atop {n}} \right.)b^n

So to find 11^4

We must break it as 1 + 10.

Option B) is the right answer.

Write (1+10) and expand. As you will have nCr *(10)^(n-r)
Where r index n count ( less terms)

How many sides does a triangle have? Quickly!

Answers

Hey there! 
A triangle is made up of 3 sides and also has 3 angles. All the angles of a triangle add up to 180.
Thank you! :D