MATHEMATICS HIGH SCHOOL

What is the factorization of 3x^2 – 8x + 5?(3x – 1)(x + 5)
(3x + 5)(x – 1)
(3x – 1)(x – 5)
(3x – 5)(x – 1)

Answers

Answer 1
Answer: 3x^2 - 8x + 5
3x^2 - 3x - 5x + 5
3x(x - 1) - 5(x - 1)
(x - 1)(3x - 5)

The answer is: (x - 1)(3x - 5).
Answer 2
Answer:

the real answer is (3x – 5)(x – 1)


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A triangle, ΔABC, is reflected across the x-axis to have the image ΔA'B'C' in the standard (x,y) coordinate plane; thus, A reflects to A'. The coordinates of point A are (c,d). What are the coordinates of point A'?

Cant figure out please help

Answers

you just need to change the x to 2 ...

thus making the entire operation the answer is : 5 of 13 = 5/13
 

I hope I was helpfull
All we have to do as the other question is PLUG IN the given X!
f(x)= (3x^2-7)/(4x^2-3)
given x is 2

f(2)=(3(2)^2-7)/(4(2)^2-3)
 
     =(12-7)/(16-3)
     =(5)/(13)

Answer=(5)/(13)

Calculate the discriminant.

x2 – x – 2 = 0

Answers

\Delta=(-1)^2-4\cdot1\cdot(-2)=1+8=9

Consider the graphs of f(x) and g(x). If g(x) = f(x)+k, find the value of k.

edit: added image

Answers

Answer:

The value of k is -7

Step-by-step explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7
movement up k units means add k to whole function
moved from 1 to -6
movement up -7 units

k=-7

Find the 50th term of 0,3,6,9....

Answers

Answer:

The 50th term is 147

Step-by-step explanation:

The nth term of an AP can be find as:

a_n=a+(n-1)d

Where, a is the first term, d is the common difference, n is the number of term and a_n is the nth term.

Now consider the provided AP: 0,3,6,9...

Here, the first term is 0, common difference is 3 and n is 50.

Substitute a = 0, d = 3 and n =50 in above formula.

a_(50)=0+(50-1)3

a_(50)=0+(49)3

a_(50)=147

Hence, the 50th term is 147
147 is the fiftieth term just multiply 3 by 50 and subtract 3

June has 42 sports books, 85 mystery books, and 69 nature books. She arranged her books equally on 7 shelves. How many books are on each shelf.

Answers

Answer:

28

Step-by-step explanation:

We are given that

June has sports books=42

June has mystery books=85

June has nature books=69

Total number of shelves=7

We have to find the number of books are on each shelf.

Total number of books=42+85+69=196

To find the number of books on each shelf we will divide the total number of books by 7.

Number of books on each shelf=(196)/(7)

Number of books on each shelf=28

Hence, number of books on each shelf=28

Answer:

28

Step-by-step explanation:

Add 42, 85, and 69 together and you get 196 but you need to divide that by 7 and you get 28

At how many points does the graph of the function below intersects the x-axis?y=3x^2-5x+1
A. 0
B. 1
c, 2

Answers

Answer: 2 points

Step-by-step explanation: the graph of y=3x^2-5x+1 intersect the x-axis at those real values of x where y=0

i.e. 3x^2-5x+1=0

ax²+bx+c=0 has real roots if b²-4ac≥0

if b²-4ac=0 implies real and equal roots

here a=3,b=-5 and c=1

b²-4ac=25-12>0

this implies that this equation has unequal real roots

so,this equation will intersect the x-axis at two distinct points
Unfortunately it doesn't factor nicely.  You can try completing the square but it's really hard because A isn't 1.  Because A is positive, you know that the parabola opens upwards.  That means if you can find a negative function value then it definitely crosses the x axis twice because of symmetry.   If you plug in 1 for x then y is -1.  So the answer is C. 2.
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