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Marysya12 [62]
3 years ago
8

Work out m and c for the line: 2x + 3y +1=0 m=c =​

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Answer:

m = - \frac{2}{3} , c = - \frac{1}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y + 1 = 0 ( subtract 2x + 1 from both sides )

3y = - 2x - 1 ( divide terms by 3 )

y = - \frac{2}{3} x - \frac{1}{3} ← in slope- intercept form

with m = - \frac{2}{3} and c = - \frac{1}{3}

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If the function f(x) has a domain of (g,h) and a range of (j,k), then what is the domain and range of g(x) = m(f(x)] + p?​
sertanlavr [38]

Answer:

Dom\{g(x)\} = Dom\{f(x)\} = (g, h).

Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)

Step-by-step explanation:

From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable (x in this case) so that images exist and the range of a function is the set of images.

In this case, we know the domain and range of f(x) and we must find the domain and range of g(x).

Domain

The domain of g(x) is the domain of f(x). That is, Dom\{g(x)\} = Dom\{f(x)\} = (g, h).

Range

We have to define the bounds of the range of g(x), given that range f(x) is modified by streching and horizontal translation operations:

Lower bound (f(x) = j)

g(x) = m\cdot j +p

Upper bound (f(x) = k)

g(x) = m\cdot k +p

In consequence, the range of g(x) is Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)

3 0
4 years ago
P (x) = - 2/3x^2 compare the graph of f (x) = x ^2
Afina-wow [57]

Answer:

p(x) is reflected over the x axis and is shrunken vertically by a factor of 2/3.

Step-by-step explanation:

Hope this helps.

5 0
3 years ago
HELPPP PLZZZZZ HURRY WILL MARK BRAINLEST
Aliun [14]

Answer:

3) 30 ft

4) 4.8 inches

6) Perimeter = 16     Area = 24

7) Perimeter = 28     Area = 32

8) Perimeter = 29     Area = around 50

6 0
3 years ago
Find x and y plz help :(
liraira [26]

Answer:

D. x = 5.4, y = 6.67

Step-by-step explanation:

The triangles are similar as per problem description, so the ratios match:

y/5 = 4/3

x/3 = 9/5

let's solve:

y/5 = 4/3

3y/5 = 4

3y = 20

y = 6.(6)

x/3 = 9/5

5x/3 = 9

5x = 27

x = 5.4

5 0
3 years ago
Read 2 more answers
Matthew has a 150 page book he has read one third of it how many pages has he read so far
posledela
You take 150/3. The answer is 50.
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3 years ago
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