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LiRa [457]
3 years ago
5

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
A principle of $2000 is placed ina saving account at 3% APR compounded annually. How much is in the account after one year, two
Kisachek [45]

Answer:

1 year:  $2060

2 years: $2121.80

3 years: $2185.45

Step-by-step explanation:

Compound interest formula is A = P(1 + \frac{r}{n}^{nt) where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period, and t is the number of time periods elapsed. In our case, P would be equal to 2000 dollars, r would be equal to 0.03, for 3 percent, and our n value would just be one, so the final equation is:

2000(1.03)^t

First, let's evaluate t for 1, as in one year.

2000 * 1.03^1 = 2000 x 1.03 = 2060

Two years: 2000 * 1.03 squared = 2121.80

Three years: 2000 * 1.03^3 = 2185.45!

Hope this helps!

8 0
2 years ago
which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x
Natalka [10]

None of these. All of these functions are defined as ratio of trigonometric functions.

Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.

Specifically, we have:

\csc(x) = \dfrac{1}{\sin(x)}

which is undefined at

\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}

\sec(x) = \dfrac{1}{\cos(x)}

which is undefined at

\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}

\tan(x) = \dfrac{\sin(x)}{\cos(x)}

which is undefined at

\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}

\cot(x) = \dfrac{\cos(x)}{\sin(x)}

which is undefined at

\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}

4 0
3 years ago
W(x)=-3x-4 find w (7)
JulsSmile [24]

Answer:

w=-7

Step-by-step explanation:

Soooo-

W(x)=-3x-4

divide both sides by x

W=-3-4

combine like terms

W=-7

3 0
3 years ago
Read 2 more answers
What is |3| ????????????
Natalija [7]

Answer:

3

Step-by-step explanation:

|3| means take the non-negative value of what is inside the absolute value

|3| = 3

5 0
2 years ago
Amar wants to make lemonade for a birthday party. He wants to mix 12 tablespoons of sugar in water. He only has a teaspoon which
o-na [289]

Answer:48

Step-by-step explanation:

Given

Amar wants 12 tablespoons of sugar in water.

Amar has teaspoon whose four times is equivalent to 1 tablespoon

i.e. 4\ \text{teaspoon}\equiv 1\ \text{tablespoon}

therefore

12 tablespoon is 4\times 12

\Rightarrow 4\times 12

\Rightarrow 48\ \text{teaspoons}

So, amar need to add 48\ \text{teaspoons} for lemonade

8 0
3 years ago
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