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2 years ago

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

Mathematics

1 answer:

mixas84 [53]2 years ago

5 0

Answer:

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.
$y = \frac{6(0)}{5 } + 27 \\ y = \frac{0}{5} + 27 \\ y = 27 \\ therefore \: the \: intercept \: on \: y \: is \: 27 \\$
By comparison,
$y = mx + \: c \\ y = \frac{6}{5} x \: +27 \\ m = \frac{6}{5 \: } \: \\ hence \: slope \: is \: \frac{6}{5}$

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ahrayia [7]

The answer is 13.

To solve this question, you need to determine the slope of the function. if howl is y and the temperature is x of the graph, the slope would be:

9-5/(40-70)= 4/-30= -2/15

Using one of the point and the slope, you can find the number of howl

-2/15= 9-y/40-(-20)

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3 years ago

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 , $y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}$

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3 years ago

Read 2 more answers

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mario62 [17]

Answer:

15 or below

Step-by-step explanation:

10+10+8+8 = 36

51-36 = 15

Less than or equal to = 15 or below

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3 years ago

Which represents the solution set of the inequality 15y-9<36?

hram777 [196]

1) Add 9 to both sides
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Remember that < is less than and > is greater than
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3 years ago

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Answer:

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2 years ago