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vesna_86 [32]
3 years ago
8

What is the value of x in the inequality

Mathematics
1 answer:
GalinKa [24]3 years ago
8 0

<u>Answer & Step-by-step explanation:</u>

<u>Question 18 </u>

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: x ≤ −10

Interval Notation: (−∞ , −10]

<u>Question 19</u>

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: x ≤ 4

Interval Notation: (−∞ , 4]

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What are 5 applications of Geometry in real life?
Xelga [282]

Answer:

•construction of buildings

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•Measuring of orbits and planetary •motions Interior designs

4 0
2 years ago
A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
Tanzania [10]

Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Step-by-step explanation:

The volume of a cone can be calculated with this formula:

V=\frac{\pi r^2h}{3}

Where "r" is the radius and "h" is the height.

We know that the radius is half the diameter. Then:

r=\frac{12cm}{2}=6cm

We know the volume and the radius of the conical container, then we can find "h":

120\pi cm^3=\frac{\pi (6cm)^2h}{3}\\\\(3)(120\pi cm^3)=\pi (6cm)^2h\\\\h=\frac{3(120\pi cm^3)}{\pi (6cm)^2}\\\\h=10cm

The diameter and height doubled are:

d=12cm*2=24cm\\h=10cm*2=20cm

Now the radius is:

r=\frac{24cm}{2}=12cm

And the container capacity is

V=\frac{\pi (12cm)^2(20cm)}{3}=960\pi cm^3

Then, to compare the capacities, we can divide this new capacity by the original:

 \frac{960\pi cm^3}{120\pi cm^3}=8

Therefore,  the container's capacity would be 8 times its original capacity.

6 0
3 years ago
Read 2 more answers
While at the store Mai finds a pair of boots she likes for $45.
uysha [10]

Answer:

$31.5 i used a caculator

Step-by-step explanation:

8 0
3 years ago
Which of the following terms describes the 2 in the expression 5x - 3y + 2z + 1?
Serjik [45]

Answer:

coefficient

Step-by-step explanation:

it has three terms

8 0
3 years ago
Function f is represented by the equation shown.
aliya0001 [1]

Answer:

\boxed{\text{A.  The y-intercept of function f is greater than the y-intercept of function g}}

Step-by-step explanation:

A. y-Intercept of ƒ(x)

ƒ(x) = x² - 4x + 3

f(0) = 0² - 4(0) + 3 = 0 – 0 + 3 = 3

The y-intercept of ƒ(x) is (0, 3).

If g(x) opens downwards and has a maximum at y = 3, it's y-intercept is less than (0, 3).

Statement A is TRUE.

B. y-Intercept of g(x)

Statement B is FALSE.

C. Minimum of ƒ(x)

ƒ(x) = x² - 4x + 3

a = 1; b = -4; c = 3

The vertex form of a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

h = -b/(2a) and k = f(h)

h = -b/2a = -(-4)/(2×1 = 2

k = f(2) = 2² - 4×2 + 3 =4 – 8 +3 = -1

The minimum of ƒ(x) is -1. The minimum of ƒ(x) is at (2, -1).

Statement C is FALSE.

D. Minimum of g(x)

g(x) is a downward-opening parabola. It has no minimum.

Statement D is FALSE

4 0
3 years ago
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