MATHEMATICS HIGH SCHOOL

5
2. Expand the brackets and simplify:
a) X(2x + 3)​

Answers

Answer 1
Answer:

Answer:

2x^2 +3x

Step-by-step explanation:

X(2x + 3)​

Distribute

2x*x + 3x

2x^2 +3x

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Find an equation of the line that has the given slope and contains the given point. m=7/3 (1,6)

Answers

The point-slope form:

y-y_1=m(x-x_1)

We have the point (1, 6) and the slope m = 7/3. Substitute:

y-6=(7)/(3)(x-1)      use distributive property

y-6=(7)/(3)x-(7)/(3)          add 6 to both sides

y=(7)/(3)x+(11)/(3)        multiply both sides by 3

3y=7x+11           subtract 7x from both sides

-7x+3y=11         change the signs

7x-3y=-11

Answer:

point-slope form: y-6=(7)/(3)(x-1)

slope-intercept form: y=(7)/(3)x+(11)/(3)

standard form: 7x-3y=-11

Show that n^2-1 is divisible by 8,if 'n' is an odd positive integer.

Answers

n-an\ odd\ positive\ integer\ \ \ \Rightarrow\ \ \ n=2k+1\ \ \ and\ \ \ k\in Natural\n\nn^2-1=(2k+1)^2-1=(2k)^2+2\cdot2k\cdot1+1^2-1=4k^2+4k=\n\n=4k(k+1)\n\nif\ k-odd\ \ then\ (k+1)-even,\ \ \ then\ k(k+1)-even\n\n\ \ \ \Rightarrow\ \ \ k(k+1)=2m\ \ \ and\ \ \ m\in N\ \ \ \Rightarrow\ \ \ 4k(k+1)=4\cdot2m=8m\n\n\nif \ k-even,\ \ \ then\ k(k+1)-even\n\n\ \ \Rightarrow\ \ \ k(k+1)=2p\ \ \ and\ \ \ p\in N\ \ \ \Rightarrow\ \ \ 4k(k+1)=4\cdot2p=8p\n\n

------------------------\n\n for\ each\ k \in N\ the\ product\ of\ \ \ k (k +1)\ \ \ is\ even,\ so:\n\nif\ 'n'\ is\ an \ odd\ positive\ integer,\ then\ \ \ n^2-1\ \ \ is\ divisible\ 8.

URGENT!!!
What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?

Answers

For anyone who needs this answer or for future math students... The answer is D: 12C8(3)^8

Reason:

I got it correct on Edge
Hello,

Term in x^4 =195*6561=3247695

3^(12-4)=3^8=6561
4P12=12*11*10*9/4!=495

What's the answer ? I'm almost positive you do multiplication first then add but not I'm not sure . 1*2+3*4+5*6= 44

Answers

PEMDAS
multiply first

1*2=2
3*4=12
5*6=30

now we have
2+12+30=44
add
2+12=14
14+30=44
44=44
true

Solve for the variable-6a+3=-3(2a-1)

Can some one help me. But explain in step by step?

Answers

Step 1: -6a + 3 = -3(2a - 1)
Step 2: -6a + 3 = -3(2a) + 3(1)
Step 3: -6a + 3 = -6a + 3
Step 4:+6a         +6a
Step 5:          3 = 3

The variable of x is equal to Any infinite number.

hn and 4 friends are going out for pizza for lunch. They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50. Write an equation to model this situation, and find the cost of one large drink.

Answers

5d + 10 - 4 = 13.50 <== ur equation
5d + 6 = 13.50
5d = 13.50 - 6
5d = 7.5
d = 7.5/5
d = 1.50 <== what each drink costs
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