MATHEMATICS HIGH SCHOOL

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.−b b2 − 4ac 2a

Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation:

4x2 + 6x + 2 = 0

Numerical Answers Expected!

Answers

Answer 1
Answer: Hello,

if b²-4ac>0 then the equation has 2 reals roots
if b²-4ac=0 then the equation has one real root with multiplicity 2
if b²-4ac<0 then no real root.

4x²+6x+2=0

Δ=6²-4*4*2=36-32=4=2² ==> 2 reals roots

==>x=(-6-2)/8=-1 or x=(-6+2)/8=-1/2

One other way is:

4x²+6x+2=0
==>2(2x²+3x+1)=0
==>2x²+3x+1=0
==>2x²+2x+x+1=0
==>2x(x+1)+1(x+1)=0
==>(x+1)(2x+1)=0
==>x=-1 or x=-1/2

Answer B

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Please help me with this

Answers

Answer is 6 (D)

45 - 39 = 6
39 - 33 = 6
33 - 27 = 6

Answer:

A. - 6

Is the common difference

see the expressions below that prove so.

Step-by-step explanation:

The sequence shows -6 to each number is same as k-6 or even n-6

we use such letters to represent 1 value. Also the reason it is a negative number is because the numbers are decreasing within the sequence.

The nth expression is the first term equation shows -6n

and the number prior to 45 is  45+6 = 51

Put together this creates our nth term =   -6n + 51

The next term is where we use the common difference also.

next nth term =  (27) + (- 6) = 21   and so on proves it the 5th term

5th nth term = -6 x 5 +51 = 21

100th nth term = -6 x 100 +51 = -549

Rachel, Nancy, and Diego were in fishing competition. Rachel's fish was 7/8 foot long, Nancy's fish was 1/4 foot long, and Diego's fish was 1/2 foot long. What are the lengths of the fish in order from least to greatest

Answers

 It is 1/4 (.25), 1/2 (.5)and 7/8 (.875) from least to greatest

The coordinates of A, B,and C in the diagram are A(p,4), B(6,1), C(9,q). What equation correctly relates p and q?

Answers

I don't see any diagram. So, I'll just wing it.

Value of q:
p, 6, 9 ⇒ there is a difference of 3. The sequence increases by 3. So, it can be assumed that the p is equal to 3. A(p,4) ⇒ A(3,4)

Value of q:
4, 1, q ⇒ there is a difference of 3. The sequence decreases by 3. So, it can be assumed that q is equal to -2. C(9,-2)
 
        p        q
A     3        4     ⇒ 3 + 4 = 7
B     6        1     ⇒ 6 + 1 = 7
C     9       -2    ⇒ 9 + (-2) = 7

Notice that the sequence has an equation of p + q = 7.

Answer:

C

Step-by-step explanation:

p+q=7

What is the perimeter of the triangle expressed as a polynomial? Length: 8x-2
Length: 5x-4
Width: 9x-3
If you could show me how you got the complete answer I would really appreciate it.

Answers

The perimeter is the sum of the lengths of the three sides of the triangle. If "width" is the length of the 3rd side, then the perimeter is
  P = (8x-2) + (5x-4) + (9x-3)
  P = 8x + 5x + 9x -2 -4 -3
  P = (8+5+9)x -(2+4+3)
  P = 22x - 9

How many points does y=4x^2-9x+9 cross the x axis

Answers

Zero point


because when you graph it, it'll look like a V


This graph will not touch with the -x or +x axis so that's why I said zero point.


I hope that's help:)

Solve for x given the lines are parallel.
7(x - 710
126°

Answers

Answer:

the answer is 87

Step-by-step explanation:
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