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3 years ago

A bedroom is initially square-shaped with each side x feet long. The room is

Mathematics

1 answer:

Katen [24]3 years ago

5 0

Answer:

7x+12

Step-by-step explanation:

length=x

width=x

area=x²

new length=x+3

width=x+4

area=(x+3)(x+4)=x²+7x+12

increase in area=x²+7x+12-x²=7x+12

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An object is launched at 29.4 meters per

Lerok [7]

Answer:

The reasonable domain for the scenario is option 'a';

a) [0, 7]

Step-by-step explanation:

For the projectile motion of the object, we are given;

The speed at which the object is launched, v = 29.4 meters per second

The height of the platform from which the object is launched, h = 34.3 meter

The equation for the height of the object as a function of time 'x' is given as follows;

f(x) = -4.9·x² + 29.4·x + 34.3

The domain for the scenario, is given by the possible values of 'x' for the function, which is found as follows;

At the height from which the object is launched, x = 0, and f(x) = 34.3

At the ground level to which the object can drop, f(x) = 0

∴ f(x) = -4.9·x² + 29.4·x + 34.3 = 0

-4.9·x² + 29.4·x + 34.3 = 0

By the quadratic formula, we have;

x = (-29.4 ± √(29.4² - 4 × (-4.9) × 34.3))/(2 × (-4.9)

∴ x = -1, or 7

Given that time is a natural number, we have the reasonable domain for the scenario as the start time when the object is launched, t = 0 to the time the object reaches the ground, t = 7

Therefore, the reasonable domain for the scenario is; 0 ≤ x ≤ 7 or [0, 7].

4 0

3 years ago

YOU WILL GET BRAINLIEST!! 20 POINTS

Mariana [72]

Answer:

Step-by-step explanation:

6⁻︎¹(4⁻︎²)

1/6x1/4 2

1/6 x 1/16

1/96

4 0

3 years ago

Read 2 more answers

If x =2 find the value of q in the equation 3x-4=x+q

Effectus [21]

Step-by-step explanation:

given x=2

and the equation

$3x - 4 = x + q$

to find the value of q , you need to make q the subject in the equation as shown below

q= 3x-x -4

q=2x-4

but x= 2

so just substitute the value of x in the equation for the q

$q = 2(2) - 4$

q=4-4

q=0

therefore the value of q is 0

5 0

3 years ago

Find the values of x and y

vitfil [10]

Hi there!

$\large\boxed{y = 12, x = 3}$

The two trapezoids are similar, so we can determine a common scale factor:

OL/UR = NM/TS

9/3 = 6/2

3 = 3

Trapezoid ONML is 3x larger than UTSR, so:

RS = 4, LM = y

3RS = LM

3 · 4 = y = 12.

Find x using the same method:

3UT = ON

3(2x+1) = 4x + 9

6x + 3 = 4x + 9

2x = 6

x = 3.

4 0

3 years ago

Find the range of f(x)=3(4)^x

Lyrx [107]

Answer:

The range is (-3,∞)

Step-by-step explanation:

There is no specific range so it is infinite.

Hope I could help, if I was correct I hope you can consider marking me as brainliest! :D

5 0

3 years ago