All categories

3 years ago

I need help with these 3

Mathematics

2 answers:

Archy [21]3 years ago

8 0

First of all remeber that "a number" means we don't know the number or it could be many but not all numbers, so it is represented by x.

5. 1/2x + 6 > 20

6. 12 + 3x < -11 (They asked for the opposite of 11, the opposite of a positive number is always the negative of that number, and the opposite of a negative number is the positive of that number).

7. 2x - 8 < 5

ankoles [38]3 years ago

5 0

Answers:

5) 1/2n + 6 > 20

6) 12 + 3n < -11

7) 2x - 8 < 5

Hope this helps :-)

You might be interested in

Solve the proportion for the variable given.

Gnom [1K]

Answer:

Step-by-step explanation:

4/6 = 9/X

2/3 = 9/X

X = 9 × 3/2

X = 27/2

5 0

4 years ago

Caffeine takes a certain amount of time to leave your system. if you drink 3 cups of coffee in the morning, the function that re

Nastasia [14]

Given:

The function g(t) represents the amount of caffeine remaining in your body after drinking the coffee.

$g(t)=130(.8246)^t$

where t is time in hours.

To find:

The caffeine remains in your system after day 1.

The caffeine remains in your system after day 2.

Solution:

We know that,

1 day = 24 hours.

2 day = 48 hours.

The given function is

$g(t)=130(.8246)^t$

Substitute t=24 in the given function to find the remaining caffeine in the system after day 1.

$g(24)=130(.8246)^{24}$

$g(24)=130(0.00977)$

$g(24)=1.2701$

Therefore, the remains caffeine in your system after day 1 is about 1.2701.

Substitute t=48 in the given function to find the remaining caffeine in the system after day 1.

$g(48)=130(.8246)^{48}$

$g(48)=130(0.000095)$

$g(48)=0.01235$

$g(48)\approx 0.0124$

Therefore, the remains caffeine in your system after day 1 is about 0.0124.

5 0

3 years ago

Which are the solutions of the quadratic equation?

yarga [219]

$\boxed{x_{1}=3}\\ \\ \boxed{x_{2}=-0.5}$

<h2>Explanation:</h2>

Hello! Recall that if you want to get correct and good answers, you need to post your question in a clear way. However, I'll try to help you, so let's get started:

The quadratic equation isn't clear, so let's assume that equation is as follows:

$2x^{2}-5x-3=0$

A quadratic equation is given by the form:

$ax^2+bx+c=0$

To find the solutions, we can apply the quadratic formula:

$x_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ Here: \\ \\ a=2 \\ b=-5 \\ c=-3 \\ \\ \\ Substituting: \\ \\ x_{12}=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(-3)}}{2(2)} \\ \\ x_{12}=\frac{5 \pm \sqrt{25+24}}{4} \\ \\ Finally, \ we \ get \ two \ solutions: \\ \\ x_{1}=\frac{5+ \sqrt{25+24}}{4}=\frac{12}{4} \therefore \boxed{x_{1}=3} \\ \\ \\ x_{2}=\frac{5-\sqrt{25+24}}{4}=-\frac{2}{4} \therefore \boxed{x_{2}=-0.5}$

<h2>Learn more:</h2>

Applications of Quadratic equation: brainly.com/question/10278062

#LearnWithBrainly

6 0

3 years ago

What's the distance from b to c

earnstyle [38]

Like A to C, also 6 units for C to B/ B to C.

3 0

3 years ago

Determine the value of x in this polygon. (6x + 3) (x + 12.5)° (2x + 8)

kogti [31]

Answer:

x = 23.5

Step-by-step explanation:

For a trapezoid, the angles on the same side are supplementary. This simply mean they add up to 180 degrees

thus, we have it that;

(6x + 3) + (x + 12.5) = 180

6x + x + 3 + 12.5 = 180

7x + 15.5 = 180

7x = 180-15.5

7x = 164.5

x = 164.5/7

x = 23.5

6 0

3 years ago