Ask question

Ask question

All categories

3 years ago

11

Which value is needed to create a perfect square trinomial from the expression x2 + 8x + _____?

1 answer:

Alecsey [184]3 years ago

4 0

I believe it's +16, if you complete the square you'd have (x+4)^2 - 16 + a = 0 where a is the value you're looking for, so to make this correct you need a = 16

You might be interested in

Rodrigo is organizing a banquet. He rents a hall for a fee of $225. The catered dinner is $25 per person. He hires a deejay who

Aleks [24]

Hello there! An equation that can be used to find the total cost of the banquet is this:

225 + 50h + 25p = c

This is because "c" represents the total cost of everything, "h" represents hours, and "p" represents people. The $225 paid to rent a hall is a one-time price and does not go up. $50 is paid per hour to the DJ, and $25 is the amount per person for dinner.

8 0

3 years ago

An exam was given to a group of freshman and sophomore students. The results are below: Freshman: 106 got A’s, 130 got B’s, and

masha68 [24]

Answer: 0.140

Step-by-step explanation:

3 0

2 years ago

2. Solve x - 19 < 81

vovikov84 [41]

The answer would be X =90

5 0

3 years ago

Read 2 more answers

The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me

zimovet [89]

Answer:

Option D) $275

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $235

Standard Deviation, σ = $20

We are given that the distribution of amount of money spent by students is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.975

$P( X < x) = P( z < \displaystyle\frac{x - 235}{20})=0.975$

Calculation the value from standard normal z table, we have,

$P( z < 1.960) = 0.975$

$\displaystyle\frac{x - 235}{20} = 1.960\\x =274.2 \approx 275$

Approximately 97.5% of the students spent below $275 on textbook.

7 0

3 years ago

A rectangle has a length of (x+10) centimeters and a width of x centimeters. If the perimeter is 32 centimeters, what is the len

I am Lyosha [343]

Given:

Length of rectangle = (x+10) cm

Width of the rectangle = x cm

Perimeter = 32 cm

To find:

The length of the rectangle.

Solution:

We know that,

$Perimeter=2(l+w)$

Where, l is length and w is width.

Substituting the values, we get

$32=2((x+10)+x)$

$32=2(2x+10)$

$32=4x+20$

Subtract 20 from both sides.

$32-20=4x$

$12=4x$

Divide both sides by

$3=x$

So, the length is

$3+10=13$

Therefore, the length of the rectangle is 13 cm.

7 0

2 years ago