3 years ago

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

Mathematics

1 answer:

Vitek1552 [10]3 years ago

7 0

Answer:

$\frac{9}{4}$

Step-by-step explanation:

Given

x² - 3x

To make the expression a perfect square

add ( half the coefficient of the x- term )²

x² + 2( - $\frac{3}{2}$ )x + $\frac{9}{4}$ , thus

x² - 3x + $\frac{9}{4}$

= (x - $\frac{3}{2}$ )² ← a perfect square

You might be interested in

What is the product? –9x(5 – 2x) 18x2 – 45x –18x2 – 45x –18x – 45x 18x – 45x

ser-zykov [4K]

<span>–9x(5 – 2x)
= -45x + 18x^2
= 18x^2 - 45x

answer
</span>18x^2 - 45x

7 0

3 years ago

Read 2 more answers

Which of the following expressions is equal to 1 divided by 16

Mama L [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Mr. Howard paid $99 for 18 feet of chain. At this rate,

vekshin1

Answer:

12.3 feet of chain is your answer.

3 0

4 years ago

Find the explicit formula that produces the given sequence. <br> 3/2, 3/4, 3/8, 3/16,...

lara [203]

$\frac{3}{2};\ \frac{3}{4};\ \frac{3}{8};\ \frac{3}{16};\ ...\\\\a_1=\frac{3}{2}\\\\a_2=\frac{3}{4}=\frac{3}{2}\cdot\frac{1}{2}\\\\a_3=\frac{3}{8}=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^2\\\\a_4=\frac{3}{16}=\frac{3}{8}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^3\\\vdots$
$a_n=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{n-1}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{-1}\cdot\left(\frac{1}{2}\right)^n=\frac{3}{2}\cdot2\cdot\left(\frac{1}{2}\right)^n=3\cdot\left(\frac{1}{2}\right)^n$

7 0

3 years ago

If there are 680 calories in 8 oz of ground beef, how many

irina [24]

Answer:

3/8ths of 680 kcal or 3 x 85 = 255 kcal.

Step-by-step explanation:

3/8ths of 680 kcal or 3 x 85 = 255 kcal.

6 0

2 years ago

Read 2 more answers