Math Help Don't Answer If Your Unsure of the answer please? 2nd and 3rd pic is one question

Mathematics

1 answer:

vovangra [49]3 years ago

7 0

If it si proportional
y/x=k or y=kx
if k is same throuout, then it is proportional
find their ratio
so
0/0=undefined, ignore
2/3=k
4/6=2/3=k
6/9=2/3=k
yes, proportional

y=kx
3=2k
1=2/3k
2/3 is answer

proprtional (2nd and 3rd)
graph is proprtional, first table is poroprtional
other ones are not
2nd picture is proportional, 3rd is not

(x,y), y is rise, x is run
unit rate is rise/run=15/6=5/2=2.5
unit rate is 2.5

unit rate is (1/2)/(2/5)=(1/2)(5/2)=5/4=1.25
unit rate is 1.25

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Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?

telo118 [61]

Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is $5y + 4 =(x+3)^{2} + \frac{1}{2}$

Therefore we can write $5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4 \hspace{0.3cm} \Rightarrow \hspace{0.2cm} 5y = (x+3)^{2} - \frac{7}{2} \hspace{0.3cm} \Rightarrow \hspace{0.3cm} y = \frac{(x+3)^{2}}{5} - \frac{7}{10}$

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

$x = \frac{(y+3)^{2}}{5} - \frac{7}{10}$

Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

$y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm} y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}$

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , $y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}$