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Katen [24]
3 years ago
6

Y=6x/5 +27 find y-intercept and slope

Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:

  1. General equation of a line is given by y = mx +c, where m is the gradient /slope, c is the intercept. To find for the intercept on y- axis, put x = 0.
  2. y =  \frac{6(0)}{5 }  + 27 \\ y =  \frac{0}{5}  + 27 \\ y = 27 \\ therefore \: the \: intercept \: on \: y \: is \: 27 \\
  3. By comparison,
  4. y =  mx +  \: c \\ y =  \frac{6}{5} x  \:  +27 \\ m =  \frac{6}{5 \: }  \: \\  hence \: slope \: is \:  \frac{6}{5}
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earnstyle [38]
The answer is 23.2 I just entered the data into an online standard deviation calculator.
6 0
3 years ago
For the given function f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
kakasveta [241]

Answer:

a) (f + g)(x) = 9x + 1

Domain: x ε R

b) (f - g)(x) = (-5x + 13)

Domain: x ε R

c) (f.g)(x) = 14x² + 37x - 42

Domain: x ε R

d) (f/g)(x) = (2x + 7)/(7x -6)

Domain: (x ε R except x = 6/7)

e) (f + g)(7) = 64

f) (f - g)(2) = 3

g) (f.g)(3) = 195

h) (f/g)(x) = 1/3

Step-by-step explanation:

f(x) = 2x + 7, g(x) = 7x - 6

a) (f + g)(x) = f(x) + g(x) = (2x + 7) + (7x - 6)

(f + g)(x) = 9x + 1

Since x is defined for functions f & g for all real numbers, the domain of (f + g)(x) is x ε R

b) (f - g)(x) = f(x) - g(x) = (2x + 7) - (7x - 6)

(f - g)(x) = (-5x + 13)

Since x is defined for functions f & g for all real numbers, the domain of (f - g)(x) is x ε R

c) (f.g)(x) = f(x) × g(x) = (2x + 7)(7x - 6)

(f.g)(x) = 14x² - 12x + 49x - 42 = 14x² + 37x - 42

Since x is defined for functions f & g for all real numbers, the domain of (f.g)(x) is x ε R

d) (f/g)(x) = f(x)/g(x) = (2x + 7)/(7x -6)

x is defined for functions f & g for all real numbers, the domain of (f/g)(x) will be x ε R except when the denominator vanishes (that is, goes to zero). This will cause the function to take up values of ∞.

This will happen when 7x - 6 = 0, x = 6/7.

Therefore, the domain of (f/g)(x) is x ε R except the point, x = 6/7.

e) (f + g)(7) = 9(7) + 1 = 64

f) (f - g)(2) = -5(2) + 13 = 3

g) (f.g)(3) = 14(3²) + 37(3) - 42 = 195

h) (f/g)(27) = (2(27) + 7)/(7(27) - 6) = 61/183 = 1/3

Hope this Helps!!!

5 0
3 years ago
Using the given information write the equation of parabolas:
lana [24]

The general form of the equation we need to find is (x - h)^2 = 4p(y- k).

The center is the distance between the directrix and focus.

So, center (h, k) = (3, 3/2) .

P = distance from center to the focus and it just so happens to be 1.5.

We now plug everything into the formula given above.

(x - 3)^2 = 4(1.5)(y - 3/2)

(x - 3)^2 = 6(y - 3/2)

Done!

8 0
3 years ago
Do these side lengths make a right triangle? 7, 13, and 218√
Nana76 [90]
Am not sure but maybe no because i learned it 2 month ago
6 0
3 years ago
Read 2 more answers
Need help as soon as possible please
Leokris [45]

Answer:

C - 10

Step-by-step explanation:

n is the number of the term

an = -2n+8

a9 = -2*9 +8

a9 = -18+8

a9 = -10

The 9th term is -10

5 0
3 years ago
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