MATHEMATICS HIGH SCHOOL

G(X) = -3/2x
Find g(4)

Answers

Answer 1

Answer:

substitute 4 as x in both sides of the equation

basically multiply -3/2 by 4

Answer 2

Answer:

g(x)= -3/2x

x=4

g(4) = - 3/2 * (4) = $-(3*4)/(2) = -(12)/(2) =-6$

g(4) = - 6

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Can someone help me solve this problem?-1= 3 + 4×

What is greater than 1/2 what fractions are greater than 1/2

Answers

Answer:

3/4

Step-by-step explanation:

3/4 is one example of a fraction that is greater than 1/2. If 1/2 become 2/4, therefore 3/4 is a fraction which is greater than 1/2.

Write a solution in Interval Notation - (you don't have to help me on all, 1 or 2 is fine c: )1) | m | -2 > 0

2) | x - 4 | - 3 > 5

3) | 6 + 9x | ≤ 24

4) | 1 - 5a | > 29

Answers

QUESTION 1

The given inequality is

$|m|-2>0$

We group like terms to get,

$|m|>2$

This implies that,

$-m>2$ or $m>2$ .

We simplify the inequality to get,

$m<-2$ or $m>2$ .

We can write this interval notation to get,

$(-\infty,-2)\cup (2,+\infty)$ .

QUESTION 2

$|x-4|-3\:>\:5$ .

We group like terms to get,

$|x-4|\:>\:5+3$ .

$|x-4|\:>\:8$

We split the absolute value sign to get,

$-(x-4)\:>\:8$ or $x-4\:>\:8$

This implies that,

$x-4\:<\:-8$ or $x-4\:>\:8$

$x\:<\:-8+4$ or $x\:>\:8+4$

$x\:<\:-4$ or $x\:>\:12$

We can write this interval notation to get,

$(-\infty,-4)\cup (12,+\infty)$ .

QUESTION 3

The given inequality is

$|6+9x|\leq 24$

We split the absolute value sign to obtain,

$-(6+9x)\leq 24$ or $(6+9x)\leq 24$

This simplifies to

$6+9x\ge -24$ and $6+9x\leq 24$

$9x\ge -24-6$ and $9x\leq 24-6$

$9x\ge -30$ and $9x\leq 18$

$x\ge -(10)/(3)$ and $x\leq 2$

$-(10)/(3)\leq x\leq2$

We write this in interval form to get,

$[-(10)/(3),2]$

QUESTION 4

The given inequality is

$|1-5a|>29$

We split the absolute value sign to get,

$-(1-5a)>29$ or $1-5a>29$

This simplifies to,

$1-5a\:<\:-29$ or $1-5a\:>\:29$

This implies that,

$-5a\:<\:-29-1$ or $-5a\:>\:29-1$

$-5a\:<\:-30$ or $-5a\:>\:28$

$a\:>\:6$ or $a\:<\:-(28)/(5)$

We write this in interval notation to get,

$(-\infty,-(28)/(5))\cup (6,+\infty)$

Find the x-intercept and y-intercept of the line. 3x-6y=12

Answers

Answer:

the y- intercept is "3" and the x- intercept is "6"

Step-by-step explanation:

Q6: Women's heights have a mean of 63.6 inches and a standard deviationof 2.5 inches. What is the z-score corresponding to a woman with a height
of 70 inches? Is this usual or unusual?
A. Z-score is 2.56 and is usual. B. Z-score is 2.56 and is unusual
C. Z-score is -2.56 and is usual D. Z-score is -2.56 and is unusual

Answers

The corresponding z-score for a height of 70 inches is 2.56, which is considered unusual based on the standard threshold.

Use the concept of statistics defined as:

Statistics is a discipline of mathematics that deals with all aspects of data. Statistical knowledge aids in the selection of the appropriate technique of data collection and the use of those samples in the appropriate analysis process in order to effectively create the results. In short, statistics is an important procedure that assists in making data-driven decisions.

Given that,

The mean height of women: 63.6 inches

The standard deviation of women's heights: 2.5 inches

Height in question: 70 inches

Z-score formula: Z = (X - μ) / σ

The Z-score calculation for a height of 70 inches: Z = 2.56

Z-score interpretation: Unusual (greater than 2)

To find the z-score,

Use the formula:

Z = (X - μ) / σ

Where,

X is the value (in this case, 70 inches),

μ is the mean (63.6 inches),

σ is the standarddeviation (2.5 inches).

Calculating the z-score for a height of 70 inches:

Z = (70 - 63.6) / 2.5

Z = 6.4 / 2.5

Z = 2.56

So, the z-score corresponding to a woman with a height of 70 inches is 2.56.

Now, to determine if this z-score is usual or unusual,

Use the standard z-score table.

Usually, z-scores greater than 2 or less than -2 are considered unusual.

In this case,

The z-score is 2.56, which is greater than 2.

Hence,

The correct answer is B. The z-score is 2.56 which is unusual.

To learn more about statistics visit:

brainly.com/question/30765535

#SPJ3

Answer:

Step-by-step explanation:

Hopefully this helps

Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long.a. 81
b. 108
c. 243

Answers

$The\ area\ of\ a\ circle:A_O=\pi r^2\ \ \ \ /r-a\ radius/\nThe\ length\ of\ a\ radius\ of\ a circle\ circumscribed\ about\ an\nequilateral\ triangle:r=(a\sqrt3)/(3)\ \ \ /a-a\ lenght\ of\ a\ side\ the\ triangle\n-------------------------------\nr=(18\sqrt3)/(3)=6\sqrt3\ (in)\n\nA_O=\pi\cdot\left(6\sqrt3\right)^2=\pi\cdot6^2\cdot\left(\sqrt3\right)^2=\pi\cdot36\cdot3=108\pi\ (in^2)\n\n\pi\approx3.14\n\ntherefore\n\nA_O\approx108\cdot3.14=339.12\ (in^2).....$

See attached for work.
$s=18\rightarrow r=6\sqrt3\rightarrow A_\odot=\pi(6\sqrt3)^2=\boxed{108\pi\ in^2}$

14.42 Round to the nearest tenth.

Answers

The answer is 14.4 because if the last number is 5 or higher you round up if not you round down. Then, you should get 14.40 but, the 0 isn't necessary so the answer is 14.4.

The answer is 14.4, because when you round, if the number is 4 or lower, you make it a zero. If it is a 5 or higher, you make it a ten. But since it is a 2, you make it a zero, and 14.40 is the same as 14.4, because if you make it a fraction and simplify it, you still get the same as 14.4. So your answer is 14.4.

Answer : 14.4

Hope it works!!!

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G(X) = -3/2xFind g(4)

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G(X) = -3/2x
Find g(4)