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olga nikolaevna [1]
4 years ago
15

How do transformations in m and b effect the graph of y=mx+b

Mathematics
1 answer:
Alex4 years ago
7 0
The equation <span>y=mx+b is called the "slope-intercept" form of the equation of a line.

It is called so because if all the solutions (x, y) of this equation are plotted, they form a line with slope m and y-intercept b.

If m is positive, the line is increasing. So if m is positive, the greater the m, the more steeper the line, in increasing direction.

If m is negative, the line is decreasing. The smaller the m, the steeper the line, in decreasing direction.

b represents the y-intercept. If b is 0, the line passes through the origin. The larger the value of b, the higher the y-intercept. The smaller the value of b, the lower the y-intercept.


</span>
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3.5 cm³ equals how many milliliters
professor190 [17]
It equals 35 milimeters hope i helped u out!!! XD
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3 years ago
Read 2 more answers
A perpetuity pays $50 per year and interest rates are 9 percent. How much would its value change if interest rates decreased to
PtichkaEL [24]

Answer:

We conclude that its value change for 277.8$.

Step-by-step explanation:

We know that a perpetuity pays $50 per year and interest rates are 9 percent.  We calculate how much would its value change if interest rates decreased to 6 percent. We know that

9%=0.09

6%=0.06

We get

\frac{50}{0.09}=555.5

\frac{50}{0.06}=833.3

Therefore, we get 833.3-555.5=277.8

We conclude that its value change for 277.8$.

4 0
3 years ago
Rob peeled 125 oranges in 5 hours. At that rate, how many oranges<br> would he peel in 12 minutes?
marin [14]

Answer:

\boxed {\tt 5 \ oranges}

Step-by-step explanation:

Let's set up a proportion.

\frac{oranges}{minutes} =\frac{oranges}{minutes}

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.

There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

\frac{125 \ oranges}{300 \ minutes}=\frac{oranges}{minutes}

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.

\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}

\frac{125 \ }{300 \ }=\frac{x \ }{12 }

Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.

12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12

12*\frac{125 \ }{300 \ }=x

12*0.416666667=x

5=x

Rob can peel 5 oranges in 12 minutes.

6 0
4 years ago
Read 2 more answers
PLEASE HELP, WRONG/ABSURD ANSWERS GET REPORTED GOOD ANSWERS GET 25 POINTS AND BRAINLIEST!!
cestrela7 [59]
 2. Find the derivative of f (x) = 5x + 9 at x = 2. 
 A) 9
 B) 5
 C) 0
 D) 10<span><span>
 </span><span>f (x) = 5x + 9
 </span><span>The first thing we should do in this case is to derive the function.
 </span><span>We have then:
 </span><span>f '(x) = 5
 </span><span>We now evaluate the function for the value of x = 2.
 </span><span>We have then:
</span><span> f '(2) = 5
 </span><span>Answer:
</span><span> the derivative of f (x) = 5x + 9 at x = 2 is:
 </span><span>B) 5

 </span><span>3. Find the derivative of f (x) = 8 divided by x at x = -1.

 </span><span>4
 </span><span>0
 </span><span>8
</span><span> -8

 </span><span>f (x) = 8 / x
 </span><span>The first thing we should do in this case is to derive the function.
 </span><span>We have then:
 </span><span>f '(x) = ((0 * x) - (1 * 8)) / (x ^ 2)
</span><span> Rewriting we have:
</span><span> f '(x) = -8 / (x ^ 2)
 </span><span>We now evaluate the function for the value of x = -1.
</span><span> We have then:
 </span><span>f '(- 1) = -8 / ((- 1) ^ 2)
 </span><span>f '(- 1) = -8
 </span><span>Answer:
 </span><span>The derivative of f (x) = 8 divided by x at x = -1 is:
 </span><span>-8

</span><span> 4. Find the derivative of f (x) = negative 11 divided by x at x = 9.
</span><span> A) 11 divided by 9
 </span><span>B) 81 divided by 11
 </span><span>C) 9 divided by 11
</span><span> D) 11 divided by 81

</span><span> f (x) = -11 / x
 </span><span>The first thing we should do in this case is to derive the function.
</span><span> We have then:
 </span><span>f '(x) = ((0 * x) - (1 * (- 11))) / (x ^ 2)
 </span><span>Rewriting we have:
</span><span> f '(x) = 11 / (x ^ 2)
 </span><span>We now evaluate the function for the value of x = 9.
 </span><span>We have then:
</span><span> f '(9) = 11 / ((9) ^ 2)
</span><span> f '(9) = 11/81
 </span><span>Answer:
  </span><span>the derivative of f (x) = negative 11 divided by x at x = 9 is:
 </span><span>D) 11 divided by 81

 </span><span>5. The position of an object at time is given by s (t) = 3 - 4t. </span><span>Find the instantaneous velocity at t = 8 by finding the derivative.
 </span><span>s (t) = 3 - 4t
 </span><span>For this case, the first thing we must do is derive the given expression.
 </span><span>We have then:
 </span><span>s' (t) = - 4
 </span><span>We evaluate now for t = 8
</span><span> s' (8) = - 4
 </span><span>Answer:
</span><span> the instantaneous velocity at t = 8 by finding the derivative is:
 </span><span>s' (8) = - 4</span></span>
6 0
3 years ago
Find the GCF of 189 and 200 using prime factorization
Ronch [10]
The Greatest Common Factor (GCF) of 189 and 200 is 1.
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