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ycow [4]
3 years ago
7

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.

Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0
The technology I used in helping me solve the problem is using Microsoft Excel. I made one column for the x values which were gathered from the choices, one column for f(x) whose equation is 8^(x-9), and another column for g(x) whose equation is log(3x) + 2. 

Inputing these equation to the last two columns yield the values shown in the picture.The 'NUM' means that the equation at that value of x is undefined. From the values, the correct solution would be 

(0,0), (9.2,1.5) and (9.6,3.5) to the f(x) equation
(9.6,3.5) to the g(x) equation

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Explain how to find the distance between two integers using the difference
maksim [4K]

Answer:

Step-by-step explanation:

When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them.

For example -3 and -1.

When we want to find difference we have:

-3-(-1)=-2

But distance can not be negative.

Now, we need to count distance between numbers -3 and -1 on the number line.

So we have from -3 to -2, one place and from -2 to -1 one place it is 2 places.

So distance is 2.

6 0
2 years ago
Read 2 more answers
A block of cheese is in the shape of a rectangle prism with a width of 2.5 inches in the height of 5 inches the volume of the bl
brilliants [131]
The formula for volume is l x w x h.

To find the missing link, we do the equation backwards.

l x 2.5 x 5 = 75

If we divide 75 by 5 then by 2.5, we get 6 which becomes our length.

To check, do 5 x 2.5 x 6 which should equal 75 

6 is your length
5 0
2 years ago
Read 2 more answers
Which statement is true?
Lady_Fox [76]

Answer:

An irrational number may show terminating digits after the decimal

Step-by-step explanation:

Examples of Rational Numbers

Number 9 can be written as 9/1 where 9 and 1 both are integers.  0.5 can be written as ½, 5/10 or 10/20 and in the form of all termination decimals.  √81 is a rational number, as it can be simplified to 9 and can be expressed as 9/1.  0.7777777 is recurring decimals and is a rational number

Examples of Irrational Numbers

Similarly, as we have already defined that irrational numbers cannot be expressed in fraction or ratio form, let us understand the concepts with few examples.

5/0 is an irrational number, with the denominator as zero.

π is an irrational number which has value 3.142…and is a never-ending and non-repeating number.

√2 is an irrational number, as it cannot be simplified.

0.212112111…is a rational number as it is non-recurring and non-terminating.

There are a lot more examples apart from above-given examples, which differentiate rational numbers and irrational numbers.

Properties of Rational and Irrational Numbers

Here are some rules based on arithmetic operations such as addition and multiplication performed on the rational number and irrational number.

#Rule 1: The sum of two rational numbers is also rational.

Example: 1/2 + 1/3 = (3+2)/6 = 5/6

#Rule 2: The product of two rational number is rational.

Example: 1/2 x 1/3 = 1/6

#Rule 3: The sum of two irrational numbers is not always irrational.

Example: √2+√2 = 2√2 is irrational

2+2√5+(-2√5) = 2  is rational

#Rule 4: The product of two irrational numbers is not always irrational.

Example: √2 x √3 = √6 (Irrational)

√2 x √2 = √4 = 2 (Rational)

5 0
2 years ago
Please help me someone? Will give a thanks and award
Setler [38]
The probabilities of knocking down zero, one, and two pins are 0.175, 0.189, and 0.264, respectively.  The total probability of knocking down at most two is thus 0.175+0.189+0.264=0.628, or 62.8%.
3 0
2 years ago
Please please help me.I am so lost with this math
Arte-miy333 [17]

Answer:

6\sqrt{5}

Step-by-step explanation:

In any right triangle, the Pythagorean theorem states:

a^2+b^2=c^2, where a and b are two legs of the triangle and c is the hypotenuse.

Plugging in given values, we have:

12^2+VU^2=18^2,\\144+VU^2=324,\\VU^2=180,VU=\sqrt{180}=\sqrt{36}\cdot \sqrt{5}=\boxed{6\sqrt{5}}

4 0
2 years ago
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