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Stolb23 [73]
3 years ago
12

A student used formulas to make tables for f(x) and g(x). If the student wants to correctly illustrate that a quantity increasin

g exponentially eventually exceeds a quantity increasing linearly, which statement about f(x) and g(x) must be true?
Mathematics
1 answer:
wlad13 [49]3 years ago
6 0

If f is a function, x is the input (an element of the domain), and f(x) is the ... During the Coordinate Algebra EOC assessment, a formula sheet will be available ... A student must have a final grade of at least 70% to pass the course and to earn

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The slope of this line is 0, it would be undefined if the line were vertical
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Can you please tell me where I did a mistake.
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The equation 2x^2 + x - 1 = 0 has two solutions. Find an equation of the form ax^2 + bx + c = 0, which solutions....
leonid [27]

Answer:

Step-by-step explanation:

Let the solution to

2x^2 + x -1 =0

x^2+ (1/2)x -(1/2)

are a and b

Hence a + b = -(1/2) ( minus the coefficient of x )

ab = -1/2 (the constant)

A. We want to have an equation where the roots are a +5 and b+5.

Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.

The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.

So the equation is

x^2-(19/2)x + 22 =0

2x^2-19x + 44 =0

B. We want the roots to be 3a and 3b.

Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and

(3a)(3b) = 9(ab) =9(-1/2)=-9/2.

So the equation is

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2x^2 + 3x -9 =0.

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How many dots would be in the 7th picture ?
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Answer: 28 dots

Step-by-step explanation: In this pattern,

we can see the the first figure is just 1 dot.

The second figure has a new row on the bottom with 2 dots.

The third figure has a new row on the bottom with 3 dots

and the fourth figure has a new row on the bottom with 4 dots.

So continuing with this pattern,

the next figure will have a new row with 5 dots,

the next will have a new row with 6 dots,

and the next will have a new row with 7 dots.

So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.

This simplifies to 28 dots.

Take a look below.

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3 years ago
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