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Lady bird [3.3K]
3 years ago
7

Which will result in a perfect square trinomial (3x-5) (-3x-5)?

Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

Answer:

-9x² + 25

Step-by-step explanation:

To solve, use FOIL. FOIL:

First

Outside

Inside

Last

Solve "First":

(3x)(-3x) = -9x²

Solve "Outside":

(3x)(-5) = -15x

Solve "Inside":

(-5)(-3x) = +15x

Solve "Last":

(-5)(-5) = +25

Combine like terms:

-9x² - 15x + 15x + 25

-9x² (-15x + 15x) + 25

-9x² + 25

-9x² + 25 is your answer.

~

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six girls and four boys have entered the science fair. first, second, and third place awards are to be given out. what is the pr
Dafna1 [17]
Given:
6 girls
4 boys

Probability of 1 girl being chosen: 1/6
Probability of 1 boy being chosen: 1/4
Probability of another boy being chosen: 1/3

1/6 = 0.17 x 100% = 17%
1/4 = 0.25 x 100% = 25%
1/3 = 0.33 x 100% = 33%

17% + 25% + 33% = 75%

The probability that exactly one girl and two boys will receive awards is 75%.
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3 years ago
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I think it’s d. A percent is out of 100 so it’s 156/100
4 0
3 years ago
Find the area of the trapezoid?
Verdich [7]

Answer: 52.5 units squared

Step-by-step explanation:

The formula to find the area of a trapezoid is, (base1 + base2)/2 * height

So you find out which variable is which

Base 1 = 4

Base 2 = 3

Height = 15

Then plug it into the formula,

(4+3)/2 * 15

Then solve the order of operations

7/2 * 15

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52.5 is the answer

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2 years ago
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a survey of 504 citizens found that 378 of them favor a new bill introduced by the city. We want to find a 95% confidence interv
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The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

<h3>What is a confidence interval?</h3>

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have:

A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Sample proportion = p = 378/504 = 0.75

q = 1 - p = 1 - 0.75 = 0.25

\rm SD = \sqrt{\dfrac{pq}{n}}

\rm SD = \sqrt{\dfrac{0.75\times0.25}{504}}

SD = 0.01928

For 95% confidence interval Z value = 1.96

Lower limit = 0.75 - 1.96(0.01928)

= 0.712

Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Learn more about the confidence interval here:

brainly.com/question/6654139

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2 years ago
-4+3b^2=143<br><br> Simplest radical form
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Answer:

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