Mathematics, 28.06.2019 08:00 munaizsiddiqui

98 points f(x) = 2/3x − 8 the function in the graph is g(x). which has the greatest value? a. f(6) b. g(2) c. f(0) dg(-4)

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Answer from: spalmer7

$\displaystyle B.g(2)$

Step-by-step explanation:

we are given f(x) and the graph of g(x)

to figure out which function has the greatest value we need to figure out g(x) function first

the given graph is a parabola so g(x) has to be quadratic function

both vertex and y-intercept of the function is (0,-1)

remember, $\sf \displaystyle Q_{\text{vertex}}=g(x)=a(x-h)^2+k$

vertex:(h,k)

we got from the graph (h,k)=(0,-1)

substitute the value of h and k to the vertex form:

$\displaystyle g(x)=a(x-0)^2+( - 1)$

simplify:

$\displaystyle g(x)=ax^2- 1$

now we need to know figure out a

to do so take (-4,-5) coordinate pair which means if x=-4 then g(x)=-5

it is helpful to figure out a

substitute the value -4 for x and -5 for g(x):

$\displaystyle - 5=a( - 4)^2- 1$

simplify square:

$\displaystyle - 5=16a- 1$

add 1 to both sides:

$\displaystyle - 4=16a$

divide both sides by 16:

$\displaystyle a = - \frac{1}{4}$

our quadratic function is

$\displaystyle g(x)= - \frac{1}{4} x^2- 1$

for f(x) and g(x) substitute the values 6,0 and 2,-4 to determine which function has the greatest value

let's work with f(x)

when x is 6 then f(x)

$\displaystyle \: f(6) = \frac{2}{3} \times 6 - 8$

simplify multiplication:

$\displaystyle \: f(6) = 2\times 2- 8$

simplify:

$\displaystyle \: f(6) = 4- 8$

simplify substraction:

$\displaystyle \: f(6) = - 4$

when x is 0 then f(x)

$\displaystyle \: f(0) = \frac{2}{3} \times 0 - 8$

simplify multiplication:

$\displaystyle \: f(0) = - 8$

let's work with g(x) now

when x is 2 then g(x)

$\displaystyle g(2)= - \frac{1}{4} \times 2^2- 1$

simplify square:

$\displaystyle g(2)= - \frac{1}{4} \times 4- 1$

simplify:

$\displaystyle g(2)= - 1- 1$

simplify substraction:

$\displaystyle g(2)= -2$

when x is -4 then g(x)

$\displaystyle g( - 4)= - \frac{1}{4} (- 4)^2- 1$

simplify square:

$\displaystyle g( - 4)= - \frac{1}{4} \times 16- 1$

simplify;

$\displaystyle g( - 4)= - 1 \times 4- 1$

simplify multiplication:

$\displaystyle g( - 4)= - 4- 1$

simplify subtraction:

$\displaystyle g( - 4)= - 5$

$\begin{array}{c c c} g(2) f( 6) g( - 4) f(0)\\ - 2 - 4 - 5 - 8 \end{array}$

hence,

our answer choice is $\displaystyle B.g(2)$

Answer from: Quest

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

In the diagram of circle o, what is the measure of abc? 210 150

Answer from: Quest

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

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98 points f(x) = 2/3x − 8 the function in the graph is g(x). which has the greatest value? a. f(...

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