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Reptile [31]
3 years ago
11

Solve for x and graph: show your work! -9x -30 < 15?

Mathematics
2 answers:
GarryVolchara [31]3 years ago
8 0
-9x - 30 < 15
<u>      + 30 + 30</u>
       <u>-9x</u> < <u>45</u>
        -9     -9
           x < -5
devlian [24]3 years ago
4 0
First you want to isolate X by adding 30 to both sides.
-9x < 45
Then divide both sides by -9.
x < -5
Graph that by drawing a vertical line at x = -5 and shading in everything to the left.
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a cylinder and a cone start with the same radius and height the radius of the cone is then trippled and the height of the cone i
Fittoniya [83]

Answer:

Therefore the cone is the greatest relative increase in volume.

Step-by-step explanation:

Cone:

Original cone = (1/3)π(h)r^2

Changed cone = (1/3)π(h/2)(3r)^2

= (1/2)(1/3)π(h)9r^2

= (9/2) * Original cone

=4.5 * Original cone

Cylinder:

Original cylinder = π(h)r^2

Changed cylinder = π(2h)r^2

=2 * Original cylinder

Therefore the cone is the greatest relative increase in volume.

3 0
3 years ago
Express the illuminance on the floor as a composite function of t for 0 &lt; t &lt; 8.
GrogVix [38]
The formula for illuminance is given by
E = I / d^2
This formula only holds true for one-dimensional illuminance
The problem asks for the illuminance across the floor. We need to use two variables, x and y.
From Pythagorean Theorem
d^2 = x^2 + y^2
and from Trigonometry
x = d cos t
y = d sin t

The function for the illuminance can be represented by the composite function
E = I cos² t / x²
and
E = I sin² t / y²

The boundary of these functions is:
<span>0 < t < 8
So, the value of t must be in radians and not in degrees</span>
3 0
3 years ago
[Algebra 2] Find the quotient with the necessary restrictions.​
Tatiana [17]

Answer:

The correct answer is:   3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4

Step-by-step explanation:

Given:

((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =

dividing with one fraction is the same as multiplying with its reciprocal value

((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))

First we need to factorize both numerators and denominators

16x² - 8x + 1 = (4x - 1)²   This is square binomial

x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)

20x² - 5x = 5x (4x - 1)

(4x - 1)² / (x - 4) (x - 3) ·  15x³ / 5x (4x - 1)

The existence of this rational algebraic expression is possible only if it is:

x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0  =>

x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4  This is restriction

Finally we have:

3 x² (4x - 1) / (x - 4) (x - 3)

God with you!!!

8 0
3 years ago
On Sunday Sheldon bought 4 1/2 kg of plant food. he used 1 2/3 kg on his strawberry plants and used 1/6 kg for his tomato plants
sweet-ann [11.9K]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The sale price of an item is $180 after a 25% discount is applied. What is the original price of the item?
torisob [31]

original price is $240

5 0
3 years ago
Read 2 more answers
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