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3 years ago

What does the middle term have to be in this trinomial to make it a perfect square? x^2+?+4

Mathematics

2 answers:

melomori [17]3 years ago

7 0

A perfect square is an expression in this form:

$(a+b)^2=a^2+2ab+b^2$

So, we have two perfect squares, and twice the product of the roots.

We have the two perfect squares: $x^2$ is the square of $x$ , and 4 is the square of 2.

So, our perfect square can be completed in one of the two following ways:

$x^2-4x+4 = (x-2)^2,\quad x^2+4x+4 = (x+2)^2$

arlik [135]3 years ago

5 0

Answer: 4x

Step-by-step explanation:

Formula: a^2+2ab+b^2.

So in this case our a^2 is x^2. our b^2 is 4.

To find the middle term (2ab) we do 2*x*2 = 4x

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48% of US adults have very little confidence in newspapers you randomly selected 10 US adults. Find the probability that the num

aivan3 [116]

Answer:

$P(x = 5) = 0.2441$

Step-by-step explanation:

Given

$p = 0.48$ --- proportion that have very little confidence

$n = 10$ --- sample

Required

Determine the probability that exactly 5 have very little confidence

This question will be solved using binomial probability:

$P(x) = ^nC_xp^x(1-p)^{n-x}$

In this case: x = 5.

So, we have:

$P(x = 5) = ^{10}C_5*0.48^5(1-0.48)^{10-5}$

$P(x = 5) = ^{10}C_5*0.48^5*0.52^5$

$P(x = 5) = 252*0.48^5*0.52^5$

$P(x = 5) = 0.2441$

7 0

2 years ago

Tanya ran 400 meters on Tuesday and 800 on Wednesday. If she ran 16,256 meters in all, how many did she run on Thursday? Show wo

loris [4]

Here's what I got. Hope that helps!

5 0

3 years ago

Read 2 more answers

Anyone help me ASAP, its due in an hour, plz show all the working, THANK YOU SO MUCH

Leona [35]

Answer:

Step-by-step explanation:

First, start out with the parent function:

$y = b^{x}$

Now, we look at the transformations, and make the equation.

We see that the graph shifted down 4 units, since the graph's horizontal asymptote is at y = -4.

$y = b^{x} - 4$

We see point (0, -3) to point (1, -1). The value of b would be 3. The reason is that when you plug 0 in, you get 1, then 1 - 4 equals 3. (0, -3),

Then, when you plug in 1, you get 3, then 3 - 4 equals -1. This matches up with the graph.

This is the answer:

$y = 3^{x}-4$

#teamtrees #WAP (Water And Plant)

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3 years ago

If G( x ) = 3 x + 1, then G -1 (1) is... -1/3 -4 -0

GarryVolchara [31]

Answer:

-4

Step-by-step explanation:

3+1 = 4 so just put a dash at the start and you ger -4

5 0

2 years ago

Helpppppppppppppppppppppppppppppp

n200080 [17]

For this case we first write the equation of which we will use:
I (db) = 10log (l / l)
We substitute the value of l.
We have then:
l = 10 ^ 8lo
Substituting in the given equation:
I (db) = 10log ((10 ^ 8lo) / lo)
Rewriting:
I (db) = 10 * log (10 ^ 8)
I (db) = 80
Answer:
I (db) = 80
option 4

4 0

3 years ago