Please help what is the answer its a math question find the lcd!!!
Please help what is the answer its a math question - 1

Answers

Answer 1
Answer:

Step-by-step explanation:

sorry I don't now but when I now I will tell you ok but mybe it 12×12×12


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The third term of an arithmetic sequence is 21, and the eighth term is 56. The first term is _____.

Answers

Term for an AP =  a  + (n-1)d.

The third term =  a + (3 -1)d = a + 2d = 21

The eight term =   a  + (8 - 1)d = a + 7d = 56


a + 2d = 21
-
a + 7d = 56
__________ 
0  -5d  =  -35
 
-5d = -35

d = -35/-5

d = 7

Substitute d = 7 in a + 2d = 21

a + 2d = 21
a + 2*7 = 21
a + 14 = 21
a = 21 - 14
a = 7

The first term, a = 7.
 

Given h(x)=√5-x, the range of h, in inequality notation, is

Answers

assuming that the 5-x is under te sqrt sign

you cannot have sqrt of a negative
find where it equals zero
5-x=0
5=x

the limit is 5=x

x has to be greater than x
to infinity
D={x|x>5}

What are the solutions of the equation below
(x-2)(x+9)=0

Answers

Answer: {2, -9}

Step-by-step explanation: Think of these two binomials, x -2 and x + 9,

as two numbers that are multiplying together to equal zero.

In order for two numbers to multiply together to equal zero,

either one number or the other number must equal zero.

So for two binomials to multiply together to equal zero,

either one binomial or the other binomial must equal zero.

So we can split this problem up into two parts.

If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.

On the left, add 2 to both sides and we have x = 2.

On the right, subtract 9 from both sides and we have x = -9.

For our final answer we use set notation.

So our answer is {2, -9}.

Answer:

2 and -9

Step-by-step explanation:

x-2=0

x=2

x+9=0

x=-9

Decide whether each expression simplifies to a number less than -1 or greater than 1.Less than -1
Greater than 1
Neither


(-10) divided by 6
-(5 divided by 2)
-3 divided by (-4)
-2• [- 7/2]
8/3•[-3:5]

Answers

Answer:

Step-by-step explanation:

(-10) ÷ 6 = (-10)/(6)=(-5)/(3)=-1(2)/(3)   less than -1

-(5÷2) =-(5)/(2)=-2(1)/(2)    less than (-1)

(-3÷ (-4) = (-3)/(-4)=(3)/(4)   Neither

(-2)* [-7/2] = (-2)* (-7)/(2)=(-1)*(-7)=7 Neither

(8/3)*(-3/5)=(8)/(3)*(-3)/(5)=(-8)/(5)=-1(3)/(5)     less than (-1)

He coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1
x y
–3 6
3 4
Line 2
x y
–6 7
9 2
A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

Answers

Line 1 slope: (4-6)/(3- -3)= -1/3. Y-intercept= 5
y= -1/3x + 5

Line 2 slope: (2-7)/(9- -6)= -1/3. Y-intercept= 5
y= -1/3x + 5

The lines are exactly the same, and there are infinitely many

Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)

Answers

Answer: Intersection of A and B = 2

Step-by-step explanation:

Total cards = 52

Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.

Total cards having 6 on them = 4

[There are 4 suits of two different colors red and black.]

Total  black playing card =26

Intersection of A and B = Black cards having 6 = 2

hence, Intersection of A and B = 2