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ryzh [129]
3 years ago
10

If a set of data is in the direction of a downward line, which of the following would be the best model for this data?

Mathematics
1 answer:
Ahat [919]3 years ago
5 0
I'm not too sure about this, but I feel that it's a linear regression. A quadratic one eventually reverses direction, and an exponential one levels off and stops decreasing.
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What is the perpendicular slope of the line shown below?
malfutka [58]

That slope appears to be 4/6 or 2/3.

The perpendicular slope will have the opposite sign and be the reciprocal.

The perpedicular slope is –3/2.

8 0
3 years ago
Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers
Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the x^2 coefficient is 1, i.e. the equation is written like x^2+bx+c=0, then you can say the following about the coefficients b and c:

  • b is the opposite of the sum of the roots
  • c is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

  • 4+(-2) = 4-2 = 2 \implies b = -2
  • 4 \cdot (-2) = -8 \implies c = -8

So, the equation is x^2-2x-8=0

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

  • \dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}
  • \dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}

And so the equation is

x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0

In order to have integer coefficients, you can multiply both sides of the equation by 8:

8x^2 - 10 + 3 = 0

5 0
3 years ago
Rolf spent 15 hours last week practicing his saxophone if 3/10 of the time was spent practicing warm up routines, how much time
NeTakaya
3/10 of the time = time spent on practicing warm up routines...
Time spent = 15 hours
remember that 'of' is usually multiply (x)
so ---- 3/10 x 15 =4.5 hrs

Hope this helps
3 0
3 years ago
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saul85 [17]
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7 0
3 years ago
Read 2 more answers
Enter values for a and b, so that the system of equation shown has one solution y=3x+4 and y=ax+b a=? b=?
Alex777 [14]

Answer:

a = 3 and b = 4

Step-by-step explanation:

Independent Equations

Lines intersect

One solution

In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations. One solution is called "consistent". This shows two distinct non-parallel lines that cross at exactly one point. This is called an "independent" system of equations, and the solution is always some x, y-point.  

5 0
3 years ago
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