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zloy xaker [14]
3 years ago
8

Which of the following constants can be added to x2 + x to form a perfect square trinomial?

Mathematics
1 answer:
agasfer [191]3 years ago
8 0

Answer:

x^2+x + 1/4

Step-by-step explanation:

x^2+x

Take the coefficient of x

1

divide by 2

1/2

Square it

(1/2)^2 = 1/4

Add this to make a perfect square trinomial

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7x - 3y + 12z This is algebra and I’m really bad at it
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Wait, this is simplified because there are no common terms.
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3 years ago
5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.
Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that \mu = 1511, \sigma = 312

95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 1511}{312}

X - 1511 = 1.645*312

X = 2024

The actual SAT score is 2024.

Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that \mu = 21.1, \sigma = 5.1. So

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 21.1}{5.1}

X - 21.1 = 1.645*5.1

X = 29.49

The equivalent ACT score is 29.49.

5 0
2 years ago
The axis of symmetry for the graph of the function f start bracket x end bracket equals one-quarter x square plus b x plus 10 is
zimovet [89]

The value of b is -3.

<h3>What is axis of symmetry?</h3>

Axis of symmetry is a line that divides an object into two halves,thereby creation a mirror like reflection of either side of the object.

Now the given function is,

f(x) = 1/4 x^2 bx + 10

and axis of symmetry is at x = 6

Now the quadratic function in standard form is given as,

f(x) = a x^2 bx + c

By comprison we get,

a = 1/4

c = 10

Since axis of symmetry is a vertical line

x = -b/2a

Therefore,

6 = -b/2*(1/4)

-b = 6*2*(1/4)

or, b = -12/4

or, b = -3

Hence,The value of b is -3.

More about axis of symmetry :

brainly.com/question/3514150

#SPJ1

3 0
2 years ago
Jill and Erica make 4 gallons of lemonade for their lemonade stand. If they charge $2.00 per quart, how much money will they mak
Karo-lina-s [1.5K]

Answer:

They will have 32 dollars

Step-by-step explanation:

4 Gallons are 16qt

Sooo....

Multiply 16*2.00=32.00

7 0
2 years ago
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