All categories

2 years ago

PLEASE HELP ME!! (50 COINS) (i rlly need help so im giving coins away PLEASE ANSWER IMMEDIATELY!!!)

Mathematics

1 answer:

Archy [21]2 years ago

5 0

Hello from MrBillDoesMath!

Answer:

4( x + 1.5)^2 + 0

Discussion:

4x^2 + 12x + 9 = => factor "4" from first 2 terms

4 (x^2 + 3x) + 9 = => complete the square, add\subtract (1.5)^2

4(x^2 + 3x + (1.5)^2) - 4 (1.5)^2 + 9 =

4 ( x + 1.5)^2 + ( 9 - 4(1.5)^2) = => as (1.5)^2 = 2.25

4 ( x + 1.5)^2 + ( 9 - 4(2.25)) = => as 4 ( 2.25) = 9

4 ( x+ 1.5)^2 + 0

Thank you,

MrB

You might be interested in

Which of the following can be modeled with exponential function ? select all that apply.

Ainat [17]

Answer: Please include more information

Step-by-step explanation:

4 0

2 years ago

❊ Simplify :

DiKsa [7]

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to simplify:

$\displaystyle \frac{a+2}{a^2+a-2}+\frac{3}{a^2-1}$

First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:

$\displaystyle =\frac{a+2}{(a+2)(a-1)}+\frac{3}{(a+1)(a-1)}$

Now, create a common denominator. To do this, we can multiply the first term by (a + 1) and the second term by (a + 2). Hence:

$\displaystyle =\frac{(a+2)(a+1)}{(a+2)(a-1)(a+1)}+\frac{3(a+2)}{(a+2)(a-1)(a+1)}$

Add the fractions:

$\displaystyle =\frac{(a+2)(a+1)+3(a+2)}{(a+2)(a-1)(a+1)}$

Factor:

$\displaystyle =\frac{(a+2)((a+1)+3)}{(a+2)(a-1)(a+1)}$

Simplify:

$\displaystyle =\frac{a+4}{(a-1)(a+1)}$

We can expand. Therefore:

$\displaystyle =\frac{a+4}{a^2-1}$

Problem 2)

We want to simplify:

$\displaystyle \frac{1}{(a-b)(b-c)}+\frac{1}{(c-b)(a-c)}$

Again, let's create a common denominator. First, let's factor out a negative from the second term:

$\displaystyle \begin{aligned} \displaystyle &= \frac{1}{(a-b)(b-c)}+\frac{1}{(-(b-c))(a-c)}\\\\&=\displaystyle \frac{1}{(a-b)(b-c)}-\frac{1}{(b-c)(a-c)}\\\end{aligned}$

Now to create a common denominator, we can multiply the first term by (a - c) and the second term by (a - b). Hence:

$\displaystyle =\frac{(a-c)}{(a-b)(b-c)(a-c)}-\frac{(a-b)}{(a-b)(b-c)(a-c)}$

Subtract the fractions:

$\displaystyle =\frac{(a-c)-(a-b)}{(a-b)(b-c)(a-c)}$

Distribute and simplify:

$\displaystyle =\frac{a-c-a+b}{(a-b)(b-c)(a-c)}=\frac{b-c}{(a-b)(b-c)(a-c)}$

Cancel. Hence:

$\displaystyle =\frac{1}{(a-b)(a-c)}$

4 0

2 years ago

16 of 3

Nataliya [291]

107 m

Step-by-step explanation:

Step 1:

Here the microscope magnifies by 10 times.

The initial length is 10.7 m

Step 2:

Let the object be magnified by 10 times . Then, 10 × 10.7 = 107

5 0

2 years ago

Find the slope of the line. Describe how one variable changes in relation to the other. How did you find this?

zlopas [31]

Answer: B. -2/3 the amount of water decreases every 3 minutes!

Step-by-step explanation:

B because it starts with 14 gallons with 0 minutes and the slope goes go down 2 and run 3 so therefore, the answer is B because from 14 gallons and 0 minutes it goes to 3 minutes 12 gallons and 6 minutes and 10 gallons so it decreases 2 gallons everything 3 minutes!

Hope this helps please give brainliest!

and here is the equation if you would need it

y=-2/3x+14

4 0

2 years ago

Read 2 more answers

If someone answers this I'll give brainliests because I have been trying for so long

lisabon 2012 [21]

Answer:

Rate of change, or slope, is 0.

Step-by-step explanation:

Normally, we would say that the number with the -3x if there was one, would be called B but seeming as there is no number, I can only assume that the rate of change is 0. So the point would be (0,0).

5 0

2 years ago

Read 2 more answers