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asambeis [7]
2 years ago
15

Algebra is confusing !! :(

Mathematics
2 answers:
Soloha48 [4]2 years ago
7 0

Answer: Fourth Choice. 1.4

Step-by-step explanation:

<u>Concept:</u>

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

<u>Solve:</u>

Given

(x² - 4) / 3x

x = 5

Substitute the value of x

[(5)² - 4) / 3(5)

Simplify exponents

(25 - 4) / 3(5)

Simplify numerator with subtraction and denominator with multiplication

21 / 15

Simplify by division

7/5 = 1.4

Hope this helps!! :)

Please let me know if you have any questions

jolli1 [7]2 years ago
5 0

Answer:

Step-by-step explanation:

Hello!

x²-4 = 5*5-4= 21

3x= 3*5 = 15

21/15 = 1,4

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Which of the following statements is false?
kramer

Option D

The sum of two irrational numbers is always rational is false statement

<em><u>Solution:</u></em>

<h3><u>The sum of two rational numbers is always rational</u></h3>

"The sum of two rational numbers is rational."

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

For example:

\frac{1}{4} + \frac{1}{5} = \frac{9}{20}

rational number + rational number = rational number

Hence this statement is true

<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a rational times an irrational will be irrational.

A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."

So this statement is correct

<h3><u>The product of two rational numbers is always rational</u></h3>

The product of two rational numbers is always rational.

A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0

Any integer is a rational number because it can be written in p/q form.

Hence it is clear that product of two rational numbers is always rational.

So this statement is correct

<h3><u>The sum of two irrational numbers is always rational</u></h3>

"The sum of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

Thus this statement is false

5 0
2 years ago
Write an equation in slope-intercept form of the line that bisects the angle formed by BA and BC
slega [8]

Given:

Angled formed by ray BA and ray BC is 90 degrees.

To find:

The equation of line that bisects the angle formed by ray BA and ray BC.

Solution:

If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.

It is possible if the line passes though point B(-1,3) and other point (-2,4).

Equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-3=\dfrac{4-3}{-2-(-1)}(x-(-1))

y-3=\dfrac{1}{-1}(x+1)

y-3=-x-1

Add 3 on both sides.

y=-x-1+3

y=-x+2

Therefore, the required equation of line is y=-x+2.

8 0
3 years ago
Question 3 what is the answer
RSB [31]
The answer is A because since the balance is 325 and you are trying to find what it was before you deposited
5 0
2 years ago
Read 2 more answers
Ap calc multiple choice question; attached below<br> please explain how, please!
anygoal [31]

Answer:

C. \frac{f(b)-f(1)}{b-1}=20

General Formulas and Concepts:

<u>Calculus</u>

  • Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that  f'(c)=\frac{f(b)-f(a)}{b-a}
  • MVT is also Average Value

Step-by-step explanation:

<u>Step 1: Define</u>

f(x)=e^{2x}

f'(c) = 20

Interval [1, b]

<u>Step 2: Check/Identify</u>

Function [1, b] is continuous.

Derivative [1, b] is continuous.

∴ There exists a c∈[1, b] such that f'(c)=\frac{f(b)-f(a)}{b-a}

<u>Step 3: Mean Value Theorem</u>

  1. Substitute:                    20=\frac{ f(b)-f(1)}{b-1}
  2. Rewrite:                        \frac{ f(b)-f(1)}{b-1}=20

And we have our final answer!

5 0
2 years ago
Convert 1000100 two to base sixteen
Shalnov [3]

Answer:

(44)₁₆

Step-by-step explanation:

to convert it into hexa decimal we have select four pair of binary digit

(1000100)₂→(?)₁₆

 <u> 100</u>  <u>0100</u>

to solve this we have to no the decimal conversion of

0100 which is '4'

so,

conversion of (1000100)₂→(44)₁₆

4 0
3 years ago
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