Mathematics, 05.12.2020 01:20 sha712

Please help :( g(7)=??? It’s evaluating functions from their graph

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Answer from: Quest

There is no association.
Which statement best describes the association between variable x and variable y? perfect negative

Answer from: Quest

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180° and ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

Answer from: Quest

$655.61 which is option c

step-by-step explanation:

price of house = $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

= $\frac{3.5*146000}{100}$

=$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

=$35770

remaining money = $146000-35770

=$110230

new mortgaged payment = 5 % of 110230

= $\frac{5*110230}{100}$

=$655.61

Answer from: Quest

the speed is $135$ miles per hour > is false

step-by-step explanation:

we know that

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

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