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4 years ago

Which of the following is the correct solution to the linear inequality shown below y 1/3x-2

1 answer:

4 0

We are asked to determine the solution to the linear inequality y <1/3x -2. In this case, we can answer this by equating the equation to zero, transposition and cross multiplication.

y = 0 = 1/3x-2
2 = 1/3x
6 = x

If this is the case, x>6

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6-8x=7-9x+12<br> solve for x

damaskus [11]

The answer is 69,420

5 0

3 years ago

Read 2 more answers

1. Given points A(3, -5) and B(19, -1), find the coordinates of point C that sit 3/8 of the way along line AB, closer to A than

zaharov [31]

1. C(x, y) = (7.3, –3.9)

2. C(x, y) = (17, –1.5)

Solution:

Question 1:

Let the points are A(3, –5) and B(19, –1).

C is the point that on the segment AB in the fraction $\frac{3}{8}$ .

Point divides segment in the ratio formula:

$$C(x, y)=\left(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n}\right)$

Here, $x_1=3, y_1=-5, x_2=19, y_2=-1$ and m = 3, n = 8

$$C(x, y)=\left(\frac{3\times19+8\times3}{3+8} , \frac{3\times(-1)+8\times(-5)}{3+8}\right)$

$$=\left(\frac{57+24}{11} , \frac{-3-40}{11}\right)$

$$=\left(\frac{81}{11} , \frac{-43}{11}\right)$

C(x, y) = (7.3, –3.9)

Question 2:

Let the points are A(3, –5) and B(19, –1).

C is the point that on the segment AB in the fraction $\frac{3}{8}$ .

Point divides segment in the ratio formula:

$$C(x, y)=\left(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n}\right)$

Here, $x_1=3, y_1=-5, x_2=19, y_2=-1$ and m = 7, n = 1

$$C(x, y)=\left(\frac{7\times19+1\times3}{7+1} , \frac{7\times(-1)+1\times(-5)}{7+1}\right)$

$$=\left(\frac{133+3}{8} , \frac{-7-5}{8}\right)$

$$=\left(\frac{136}{8} , \frac{-12}{8}\right)$

C(x, y) = (17, –1.5)

8 0

3 years ago

The prime factorization of 396 is _____ .

Elena L [17]

Answer:

396 : 2 * 2 * 3 * 3 * 11

Step-by-step explanation:

using long division of prime factors, you will end up with the following:

396 : 2 * 2 * 3 * 3 * 11

4 0

3 years ago

Just need the answer please

Kisachek [45]

Answer:

19.34cm

Step-by-step explanation:

Rigth Angled triangle

use SOHCAHTOA

Cos°=adj/hyp

Cos 71=6.3/BC

BC=6.3/COS 71

COS 71°= 0.3256

BC=6.3/0.3256

BC= 19.34cm

3 0

3 years ago

David is filling a cylindrical cup with medication for his next patient. If he only fills the cup half way, what is the volume o

nignag [31]

Answer:

Volume of medication in the cup = 50.24 cubic inches

Step-by-step explanation:

Volume of the cylindrical cup = πr^2h

Radius, r = 2 inches

Height, h = 8 inches

Volume of the cylindrical cup = πr^2h

= 3.14 × 2^2 × 8

= 3.14 × 4 × 8

= 100.48

Volume of the cylindrical cup = 100.48 cubic inches

If David only fills the cup half way,

then, the volume of medication in the cup = Total volume of the cylinder / 2

= 100.48 inches / 2

= 50.24 cubic inches

volume of medication in the cup = 50.24 cubic inches

7 0

3 years ago