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Savatey [412]
2 years ago
6

Is -(3x + 5)^2 a perfect trinomial? Why or why not?

Mathematics
1 answer:
attashe74 [19]2 years ago
8 0

The given equation-(3x + 5)^2 is not a perfect trinomial because it is not obtained through the multiplication of a binomial.

<h3>What is a perfect trinomial?</h3>

A perfect square trinomial is takes the algebraic expression form ax^2 +bx + c, where the square root of the first term and the third term is the equation to the second term.

Given that:

-(3x + 5)^2

Open brackets

= - (9x +30x + 55)

Multiply through by (-)

= -9x^2 - 30x - 55

Therefore, we can conclude that the given equation-(3x + 5)^2 is not a perfect trinomial because it is not obtained through the multiplication of a binomial. i.e. the multiplication of the square root of the first and the third term did not result in the 2nd term.

Learn more about perfect square trinomials here:

brainly.com/question/88561

#SPJ1

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Manuel's job pays $11.50 per hour for a 40-hour work week.If Manuel worls over forty hours,he earns 1.5 times his hourly pay for
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Hopes you understand my work

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4 years ago
ted popped a baseball straight up with an initial velocity of 48 ft/s. The height, h, in feet, of the ball above the ground is m
creativ13 [48]

Answer:

3 seconds

Step-by-step explanation:

We have to give us the following function h (t) = - 16 * t ^ 2 + 48 * t + 3

Now, they tell us that the height is 3 feet, therefore replacing that value we have left:

3 = -16 * t ^ 2 + 48 * t + 3, operating cancels 3. And it would be:

-16 * t ^ 2 + 48 * t = 0

Removing common factor -16 * t, it would be:

(-16 * t) * (t - 3) = 0

We have two solutions:

-16 * t = 0 ---> t = 0

 t - 3 = 0 ---> t = 3

Because the time cannot be 0 seconds, the time it would take the ball in the air is 3 seconds.

4 0
3 years ago
Circle A has a radius that is 5 centimeters less than the radius of Circle B. How does the diameter of Circle A compare to the d
kotegsom [21]

Answer:diameter of circle A is

(2r - 10) centimeters while Answer:diameter of circle B is 2r

Step-by-step explanation:

Diameter = radius/2

Circle A has a radius that is 5 centimeters less than the radius of Circle B. It means that if the radius of circle B is 5 centimeters, then the radius of circle A would be (r - 5) centimeters. Also,

The diameter of circle B would be

2 × r = 2r centimeters

Therefore, the diameter of circle A would be expressed as

2(r - 5) = (2r - 10) centimeters

6 0
3 years ago
The ordered pair (-9, 1) is a solution to the inequality y ≤ 2x - 7
kupik [55]

Replace x in the equation with the x value from the ordered pair and see if the y value meets the inequality.

y ≤ 2(-9) -7

y ≤ -18 - 7

y ≤ -25

The y value in the ordered pair is 1, so replace y with 1 and see if the inequality is true:

1 ≤ -25

1 is a positive value and the equation equals a negative value, so this is not true, because 1 is greater than -25.

4 0
3 years ago
Ms.Lieber takes 4 hours to drive 210 miles from her home to Yosemite national park. If ms.Lieber's avarege sleed for the first t
zlopas [31]

Answer:

45 miles per hour.

Step-by-step explanation:

We have been given that Ms. Lieber takes 4 hours to drive 210 miles from her home to Yosemite national park. Ms. Lieber's average speed for the first two hours is 60 miles per hour.

Let us find distance traveled by Ms. Lieber in 2 hours.

\text{Distance}=\text{Speed*Time}

\text{Distance traveled by Ms. Lieber in 2 hours}=60\frac{\text{miles}}{\text{ hour}}\times 2\text{ hours}

\text{Distance traveled by Ms. Lieber in 2 hours}=60\times 2\text{ miles}

\text{Distance traveled by Ms. Lieber in 2 hours}=120\text{ miles}

\text{Remaining distance}=(210-120)\text{ miles}

\text{Remaining distance}=90\text{ miles}

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

\text{Ms. Lieber's average speed for last 2 hours}=\frac{90\text{ miles}}{2\text{hour}}

\text{Ms. Lieber's average speed for last 2 hours}=45\frac{\text{ miles}}{\text{hour}}

Therefore, Ms. Lieber's average speed for the last 2 hours was 45 miles per hour.

5 0
3 years ago
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