6-3p>= -9 solve the inequality

W = zh - 6zk². Solve for z (preferred with steps)

8_murik_8 [283]

Answer:

w

z = ------------

h - 6k²

Step-by-step explanation:

w = zh - 6zk²

zh - 6zk² = w

w

z = ------------

h - 6k²

8 0

2 years ago

During the early part of the 1994 baseball season, many sports fans and baseball players noticed that the number of home runs be

natta225 [31]

Complete Question

The picture of the stem plot National and American League is shown on the first uploaded image

Answer:

The value is $\= x = 50.14$

Step-by-step explanation:

From the question we are told that

The stem plot for National League is

$2\ \ \ \ \ 9\\3\ \ \ \ \ 1 \\4\ \ \ \ \ 2\ 6\ 7\ 8\ 8\\5 \ \ \ \ \ 3\ 5\ 5\ 5\\6 \ \ \ \ \ 3\ 3\ 7\\7$

The sample size is n = 14

Generally the stem plot is interpreted in this manner

The numbers on the first column represents the tens of a two digit number while the second column holds the possible unit number the tens in the first column can be combined with

for example 4th row

5 3 5 5 5

is equivalent to

53 55 55 55

Generally the mean for the national league is mathematically represented as

$\= x = \frac{29 + 31 + \cdots + 67}{14}$

=> $\= x = \frac{702}{14}$

=> $\= x = 50.14$

4 0

2 years ago

Solve the following automotive-services problems based on the examples shown previously. Voltage = 12 v Current = 48 amps Resist

yawa3891 [41]

For this case the first thing you should know is that we have the following definition:
V = I * R
Where,
V: voltage
I: current
R: resistance
Therefore, by clearing the Resistance we have:
R = V / I
Substituting the values:
R = 12/48
R = 1/4 ohms
Answer:
The value of the resistance is:
R = 1/4 ohms

4 0

2 years ago

What is the area of a triangle with vertices at (0, – 2), (8, – 2), and (9, 1)?

Luda [366]

ANSWER:

The area of the triangle with vertices at (0, – 2), (8, – 2), and (9, 1) is 12 square units.

SOLUTION:

Given, vertices of the triangle are A(0, -2), B(8, -2) and C(9, 1).

We have to find the area of the given triangle.

We know that,

$\text { Area of triangle }=\frac{1}{2}\left(x_{1}\left(y_{2}-y_{3}\right)+x_{2}\left(y_{3}-y_{1}\right)+x_{3}\left(y_{1}-y_{2}\right)\right)$

$\text { Where, }\left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right),\left(x_{3}, y_{3}\right) \text { are vertices of the triangle. }$

Here in our problem, $\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=(0,-2),\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)=(8,-2) \text { and }\left(\mathrm{x}_{3}, \mathrm{y}_{3}\right)=(9,1)$

Now, substitute the above values in the formula.

$\text { Area of triangle }=\frac{1}{2}\left(x_{1}\left(y_{2}-y_{3}\right)+x_{2}\left(y_{3}-y_{1}\right)+x_{3}\left(y_{1}-y_{2}\right)\right)$

$=\frac{1}{2}(0(-2-1)+8(1-(-2))+9(-2-(-2))$

$=\frac{1}{2}(0+8(1+2)+9(2-2))$

$\frac{1}{2}(0 + 0 +24) = \frac{24}{12} = 2$

Hence, the area of the triangle is 12 sq units.

7 0

2 years ago

The square of 9 less than a number is 3 less than the number. What is the number?

Elina [12.6K]

(x-9)²=-3+x
expand
x²-18x+81=-3+x
minus x both sides and add 3
x²-19x+84=0
factor
what 2 numbers multiply to get 84 and add to get -19?
-7 and -12
(x-7)(x-12)=0

set equal to 0

x-7=0
x=7

x-12=0
x=12

the number is 7 or 12
both work

3 0

2 years ago