MATHEMATICS HIGH SCHOOL

Which ordered pair is a solution to the equation: y - 3 = x+2?a) (5,10)
b) (0,0)
c) (7,6)
d) (10,5)

Answers

Answer 1
Answer: Let's solve for x.y−3=x+2Step 1: Flip the equation.x+2=y−3

Step 2: Add -2 to both sides.x+2+−2=y−3+−2x=y−5

Answer:

x=y−5
Answer 2
Answer: Answer:
d) (10,5)

to check:
(5,10)
x=5
y=10

y-3=x+2
10-3=5+2
7=7

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1/2 x n = 1/3 what does n =

Answers

you do 1/3 / 1/2
You do Keep, Change, Flip
so...
1/3 /1/2= 1/2*3/1= 3/2 and that is 1 1/2
n=1 1/2

Find the product.

a^4(3a ^2 - 2a + 1)

Answers


                   a⁴(3a² - 2a + 1)

We just have to multiply each term inside the parentheses by  a⁴  .

           a⁴(3a²        )  =  3a⁶
 
           a⁴(    - 2a    )  =  -2a⁵
 
           a⁴(            1)  =  a⁴

Now, just addum up :      3a⁶ - 2a⁵ + a⁴

Answer:

3A^6-2a^5+a^4

Step-by-step explanation:

What is the value of x in the equation 25x2 = 16?

Answers

Answer:

The answer is

x=(+/-)(4)/(5)

Step-by-step explanation:

we have

25x^(2)=16

Solve for x

Divide by 25 both sides

25x^(2)/25=16/25

x^(2)=16/25

Square root both sides

x=(+/-)\sqrt{(16)/(25)}

x=(+/-)(4)/(5)
25x2 = 16
x^2 = 16/25
x^2 = 4^2/5^2
x = 4/5

I am so confused Please Help it is DUE NOW!!Select the polynomial that is a perfect square trinomial.
9x^2 + 9x + 1
36b^2 − 24b + 8
16x^2 + 24x + 9
4a^2 − 10a + 25

Answers

Answer:

16x^2 + 24x + 9  

Step-by-step explanation:

perfect square trinomial is of the form

a^2 + 2 * a * b + b^2

9x^2 + 9x + 1   = (3x)^2 + 3*3x*1 + 1^2  not a perfect square trinomial

36b^2 − 24b + 8  = ( 6b)^2  -2 * 6b *2 + ( 2 sqrt(2)) ^2  not a perfect square trinomial

16x^2 + 24x + 9  = ( 4x) ^2 + 2 * ( 4x) * 3 + 3^2 = perfect square trinomial

4a^2 − 10a + 25 = ( 2a) ^2 -  1 * 2a *5 + 5^2   not a perfect square trinomial

Answer:

The third answer listed:

16x^2+24x+9

Step-by-step explanation:

The trinomial:  

16x^2+24x+9

can be factored out as follows:

16x^2+24x+9\n(4x)^2+24x+3^2\n(4x)^2+12x+12x+3^2\n4x(4x+3)+3(4x+3)\n(4x+3)\,(4x+3)\n(4x+3)^2

which as can be seen,is the perfect square of a binomial, so this trinomial is what is called a perfect square trinomial.

What is the least common denominator of 4 and 8

Answers

Answer:  Least common multiple of 4 and 8 is 8

Two consecutive integers have a sum of 107. Find the integers.

Answers

Let
x = first consecutive number
x + 1 = second consecutive number

Based on the problem, we equate
x + (x + 1) = 107
Solving for x,
2x + 1 = 107
2x = 107 - 1
2x = 106
x = 106/2 = 53
and x + 1 = 54

Therefore, the numbers are 53 and 54.
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