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3 years ago

write an equation in point slope form for the line that has a slope of 9/4 and contains the point (3,-4)

Mathematics

1 answer:

denis-greek [22]3 years ago

4 0

Answer:

y+4 = 9/4(x-3)

Step-by-step explanation:

The point slope form of an equation is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

Substituting in what we know

y--4 = 9/4(x-3)

y+4 = 9/4(x-3)

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2 years ago

Need help please answer

ASHA 777 [7]

Answer:

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3 years ago

y is directly proportional to x^3. it is known that =5 for a particular value of x. find the value of y when this value of y whe

alina1380 [7]

Answer:

The value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is $\frac{5}{8}$ .

Step-by-step explanation:

According to the statement, we have the following relationship:

$y = k\cdot x^{3}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$k$ - Proportionality constant.

We can eliminate the proportionality constant by constructing the following relationship:

$\frac{y_{2}}{y_{1}} = \left(\frac{x_{2}}{x_{1}} \right)^{3}$

If we know that $y_{1} = y$ , $y_{2} = 5$ , $x_{2} = x_{o}$ and $x_{1} = \frac{1}{2}\cdot x_{o}$ , then the value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is:

$\frac{5}{y} = \left(\frac{x_{o}}{\frac{1}{2}\cdot x_{o} } \right)^{3}$

$\frac{5}{y} = 8$

$y = \frac{5}{8}$

The value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is $\frac{5}{8}$ .

5 0

2 years ago

A positive number is 30 less than its square. Find the number.

FinnZ [79.3K]

Answer:

Step-by-step explanation:

6+30=36

6^2=36

8 0

3 years ago

Read 2 more answers

Help me please I really need help

jeka94

Answer:

A. The y-intercept of g(x) is less than the y-intercept of f(x).

Step-by-step explanation:

The x-intercept, or when x = 0, of f(x) is -4, the x-intercept of g(x) is -8, so g(x) are neither greater nor equal to f(x), this marks out C and D. The y-intercept, or when y = 0, is in this case f(x) or g(x). The y-intercept of f(x) is 16, the y-intercept of g(x) is 4, so the y-intercept of g(x) is not equal to the y-intercept of f(x), this marks out B. Now to check A, 4 < 16, so y-intercept of g(x) < y-intercept of f(x), the answer is A

5 0

3 years ago