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3 years ago

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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nydimaria [60]

Answer:

Cool

Step-by-step explanation:

7 0

3 years ago

g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

6 0

3 years ago

A line with a slope of 3/4 passes through (-4,-2). Write the equation of the line in standard form.

Gnesinka [82]

Standard form is Ax + By = C

Your equation is y = 3/4 x + 1

3/4 x + 1 y = 1

8 0

4 years ago

Whoever answers correctly can have brainliest<br> but answer asap

Sergio [31]

Answer:

3 1/3

Step-by-step explanation:

Make the fractions into improper fractions:

2 1/2 = 5/2

1 1/3 = 4/3

5/2 × 4/3 =

5×4/2×3 =

20/6 =

10/3 =

3 1/3

4 0

2 years ago

Simplify 6 to the 5th over 7 to the 3rd all raised to the 2nd power. A: 6 to the 7th over 7 to the 10th B: 6 to the 10th over 7

n200080 [17]

Answer:

B: 6 to the 10th over 7 to the 6th

Step-by-step explanation:

(6^5 / 7^3)^2

We know that (a /b) ^c = a^c / b^c

(6^5)^2 / (7^3)^2

We know that a power to a power is the powers multiplied a^b^c = a^(b*c)

6^ (5*2)/ (7^(3*2))

6^10/(7^6)

Since the bases are not the same, there is nothing else we can do

7 0

3 years ago

Read 2 more answers