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3 years ago

Find the slope and y-intercept of the line with equation 2y+x=-6

Mathematics

2 answers:

Step2247 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

rearrange this equation into slope-intercept form(y=mx+b)

2y=-6-x

y=-3-x/2

y=-1/2*x-3

m is the slope

b is the y-int

slope=1/2

y-int= -3

ratelena [41]3 years ago

4 0

mx+b

b is the y-int

2y=-6-x

y=-3-x/2

y=-1/2*x-3

slope=1/2

y-int= -3

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Answer:

$0.32/ounce

Step-by-step explanation:

Total cost of Turkey - $26.88

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3 years ago

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3 years ago

In a class. 40% of the student's study math and science, 60% of the students study

GaryK [48]

Answer:

2/3

Step-by-step explanation:

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P(B|A) = P(A and B) ÷ P(A).

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Given :

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3 years ago

Given that f(x) = x + 3<br> a) Find f(2)

Nataly_w [17]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

In the above question, it is given that :

$\qquad \sf \boxed{ \sf f(x) = \frac{x + 3}{2} }$

A.) Find f(2) :

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{2 + 3}{2}$

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{5}{2}$

$\qquad \sf \dashrightarrow \: f(2) = 0.5$

B.) Find ${ \sf {f}^{-1}(x) }$ :

$\qquad \sf \dashrightarrow \: let \: y = f (x)$

so, we can write it as :

$\qquad \sf \dashrightarrow \: y = \dfrac{x + 3}{2}$

$\qquad \sf \dashrightarrow \: 2y = x + 3$

$\qquad \sf \dashrightarrow \: x = 2y - 3$

Now, put x = ${ \sf {f}^{-1}(x) }$ , and y = x and we will get our required inverse function ~

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3$

C.) Find ${ \sf {f}^{-1}(12) }$ :

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3$

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 36- 3$

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 33$

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