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3 years ago

How do you factor the trinomial x^2-6/5x 9/25?

Mathematics

1 answer:

AVprozaik [17]3 years ago

3 0

First, you factor the expression.
x (x - 54/125)

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A toy rocket is fired into the air from the top of a barn. It's height h in yards above the ground after t seconds is given by t

mariarad [96]

Answer:

The rocket reached its maximum height at 2 seconds.

The maximum height of the rocket is 36 yards.

Step-by-step explanation:

Quadratic equation:

In the format

$h(t) = ah^{2} + bh + c$

The maximum height happens at the instant of time:

$t_{v} = -\frac{b}{2a}$

The maximu height is $h(t_{v})$

In this question:

$H(t) = -3t^{2} + 12t + 24$

So $a = -3, b = 12, c = 24$

When did the rocket reach its maximum height?

$t_{v} = -\frac{12}{2*(-3)} = 2$

The rocket reached its maximum height at 2 seconds.

What was the maximum height of the rocket?

H(2).

$H(2) = -3*2^{2} + 12*2 + 24 = 36$

The maximum height of the rocket is 36 yards.

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3 years ago

Write and then evaluate an expression for the following number line.

katen-ka-za [31]

Answer:

Step-by-step explanation:

8 0

3 years ago

Helpppsppspspspspsp plssss

matrenka [14]

Answer: About 804.25

Step-by-step explanation:

Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle

7 0

3 years ago

Find the number that must be added to each expression to form a perfect square trinomial. Then write the trinomial as a binomial

maksim [4K]

<h2>Hello!</h2>

The answers are:

a) $\frac{49}{4}$

b) $(x+\frac{7}{2})^{2}$

First, we need to know that for this case:

$a=1\\2ab=7$

So,

$b=\frac{7}{2}$

$b^{2} =(\frac{7}{2})^{2}=\frac{49}{4}$

We must add $\frac{49}{4}$ to the expression in order to form a perfect square trinomial,

$x^{2} +7x+\frac{49}{4}$

Writing the trinomial as a binomial square:

$(x+\frac{7}{2})^{2}=x^{2}+2*\frac{7}{2}*x+(\frac{7}{2})^{2}=x^{2} +7x+\frac{49}{4}$

Have a nice day!

8 0

3 years ago

Read 2 more answers

kathryn bought an aquarium to replace her fishbowl.The directions for the aquarium say that it should be filled with 9 cubic fee

lesya [120]

The water should fill the aquarium to 1.5 feet

Solution:

Given that the directions for the aquarium say that it should be filled with 9 cubic feet of water.

This means volume of aquarium is 9 cubic feet

Given that aquarium is 2 feet wide and 3 feet long

To find: Height of aquarium

Since a aquarium is in shape of cuboid, we can use the volume of cuboid formula

<em><u>The volume of cuboid is given as:</u></em>

volume of cuboid = $l \times w \times h$

Where "l" is the length

w is the width

"h" is the height

Substituting the values, we get,

$9 = 3 \times 2 \times h\\\\9 = 6 \times h\\\\h = \frac{9}{6} = 1.5$

Thus the height of aquarium is 1.5 feet

7 0

3 years ago