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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

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The depth of a lake is 15.8m
Leya [2.2K]

a. Jada got the measurement 16m.

b. The measured depth differ 0.2m from the actual depth.

c. There is a 12.66% error in calculation.

Step-by-step explanation:

Given,

The depth of lake = 15.8 m

a. Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get

When a digit after the decimal point is 5 or more than that, the number before decimal is rounded to the next number.

Therefore,

15.8 rounded to nearest number is 16.

The depth of lake measured by Jada = 16 m

Jada got the measurement 16m.

b. By how many meters does the measured depth differ from the actual depth?

Difference = Approx - Exact

Difference = 16 - 15.8 = 0.2m

The measured depth differ 0.2m from the actual depth.

c. Express the measurement error ad a percentage of the actual depth.

Percent error = \frac{|approx-exact|}{exact}*100

Percent error = \frac{|2|}{15.8}*100 = \frac{200}{15.8}

Percent error = 12.66%

There is a 12.66% error in calculation.

Keywords: percent, error

Learn more about percent at:

  • brainly.com/question/9323337
  • brainly.com/question/9103248

#LearnwithBrainly

4 0
2 years ago
The equation (x + 6)^2 + (y + 4)^2 = 36 models the position and range of the source of a radio signal. Describe the position of
ElenaW [278]
A circle equation is :
( x - p )² + ( y - q )² = r², where p and q are coordinates of the center.
The position of the source is : ( - 6, - 4 ) and the range :
r² = 36   ⇒   r = 6
3 0
3 years ago
Read 2 more answers
What is the measure of the missing angle?​
goblinko [34]

Answer:

<u>The missing angle measures also 110°</u>

Step-by-step explanation:

Let's recall that If the transversal cuts across parallel lines (apparently, this particular case) then those alternate exterior angles have the same measure (.∠ 110° and ∠?) So in the figure given, the two alternate exterior angles measure the same.

<u>The missing angle measures also 110°</u>

4 0
3 years ago
Help!!
lutik1710 [3]

theoretical probability is a coin will land on heads 50% of the time

50% of 100 = 50

since it only landed on heads 38 times, this was less than the theoretical probability of 50

5 0
3 years ago
Read 2 more answers
Avery’s piggy bank has 300 nickels, 450 pennies, and 150 dimes. She randomly picks three coins. Each time she picks a coin, she
Mashutka [201]

Answer:

(1) .20 (2) .40 (3) .12 (4) Less than

Step-by-step explanation:

You have to look at the table.  There are 5 columns with 10 rows.  5x10=50

Then simply count the boxes that have the correct number of currency for instance, if they are asking for EXACTLY 1 dime then you rule out the ones that have 2 or 3 dimes and only the count the ones that have a single dime.   So you count PDN but you would not count PDD.  There are 20 boxes that have a single dime in them.  20 out of the 50 boxes. 20/50=.40 (answer 2)

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is . 20

The estimated probability that exactly one of the three coins Avery randomly picked is a dime is . 40

The estimated probability that all three coins Avery randomly picked are pennies is . 12

The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%.  20% is less than 40% so...

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is  LESS THAN the estimated probability that exactly one of the three coins Avery randomly picked is a dime.

4 0
3 years ago
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