The function g(x) has vertex (0,2) and the function of the graph has vertes (-2,0), so this latter is the function f(x).
Now analyze the statements.
<span>Neither function is an even function ---> FALSE because the fact that the function g(x) has vertex (0,2) means that the symmetry axis of the parabole is the y-axis, so you know that g(x) = g(-x) which is the definition of an even function.
Only the function g(x) is an even function ---> TRUE: I already explained you why you can tell that g(x) is even. Now you just mut observe the graph of f(x) to realize that f(x) is not equal to f(-x) which means that it is not even.
Both functions are even functions ---> FALSE as we stated above f(x0 is not even.
Only the function f(x) is an even function ---> FALSE as we stated above.</span>
You would do $5.67 divided by three. one pen is $1.89
The scale of a bar graph is the range of values presented along the horazontil and vertical axis
The statement that correctly describes the product, 5.15 x 6√7, which is 81.7537155..., is <u>A. </u><u>irrational</u>.
<h3>What is an irrational product?</h3>
An irrational number is one that can be written as a decimal, but not as a fraction.
An irrational number has endless non-repeating digits to the right of the decimal point.
The rules for determining if a product is rational or irrational are as follows:
- The product of two rational numbers is rational.
- The product of a rational number and an irrational number is irrational.
- The product of two irrational numbers is irrational.
<h3>Data and Calculations:</h3>
5.15 x 6√7
= 5.15 x 6 x 2.64575...
= 81.7537155...
Thus, the product of 5.15 x 6√7 is irrational because √7 is irrational.
Learn more about rational and irrational numbers at brainly.com/question/20400557
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<h3>Complete Question with Answer Options:</h3>
Which of the following correctly describes the product below?
5.15 x 6√7
A. irrational
B. neither rational nor irrational
C. a combination of both rational and irrational
D. rational
Remember some simle log rules
loga+logb=log(ab)
xloga=loga^x
means
also, if no base is stated, assume base 10
so
log(2x)=-1 is base 10 and translates to
10^-1=2x
1/10=2x
divide both sides by 2 aka times 1/2
1/20=x
3log(2)+log(x)=3
log(2^3)+log(x)=3
log(8)+log(x)=3
log(8x)=3
base 10
10^3=8x
1000=8x
divide both sides by 8
x=125
