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Digiron [165]
3 years ago
13

F(x) = x^2. What is g(x)?

Mathematics
2 answers:
mart [117]3 years ago
6 0

Answer:

B

Step-by-step explanation:

The coordinates are (1, 9).

x = 1

y = 9

Put x as 1, and the output should be 9.

g(1) = ( 3 (1) )²

g(1) = (3)²

g(1) = 9

LenaWriter [7]3 years ago
4 0

Answer:

b

Step-by-step explanation:

B is correct since you could use a graphing calculator  to solve this by plugging each answer choice into the calc.

another way is to plug 1 or x into each of the equations and see which choice has 9 as y

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The width of a rectangle is three times its height. If it has an area of 60.75 square feet, what are its dimensions?
horrorfan [7]
The answer is D my dude don’t over think. Since it’s are multiply your answer choices till you reach 60.75
8 0
3 years ago
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Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to confirm your results. (If a
kipiarov [429]

Answer:

Horizontal tangent

(x, y) = (1, 0)

Vertical tangent

(x, y) = DNE

Step-by-step explanation:

The equation for the slope (m) of the tangent line at any point of a parametric curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Where \frac{dx}{dt} and \frac{dy}{dt} are the first derivatives of the horizontal and vertical components of the parametric curves. Now, the first derivatives are now obtained:

\frac{dx}{dt} = -1 and \frac{dy}{dt} = 2\cdot t

The equation of the slope is:

m = -2\cdot t

As resulting expression is a linear function, there are no discontinuities and for that reason there are no vertical tangents. However, there is one horizontal tangent, which is:

-2\cdot t = 0

t = 0

The point associated with the horizontal tangent is:

x = 1 - 0

x = 1

y = 0^{2}

y = 0

The answer is:

Horizontal tangent

(x, y) = (1, 0)

Vertical tangent

(x, y) = DNE

6 0
4 years ago
0.121122111222... if the pattern continues, is this a repeating decimal? why or why not?
hammer [34]
First we observe pattern here. The pattern is one  number "1" and one number "2" than two numbers "1" and two numbers "2" and so on. Every next array of numbers 1 and 2 will have one extra member.

Because of this, 0.121122111222... isn't repeating decimal. Repeating decimal has some number of decimals that keep repeating. For example if we had:
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In your task you can't find a segment that keeps repeating.
3 0
3 years ago
Which one would the equation be?
aleksley [76]

Answer:

a. y = \frac{2}{5}x - 6

Step-by-step explanation:

The slope-intercept form of equation of a line is given as y = mx + b. Where,

m = slope

b = y-intercept.

Rewrite the equations, 2x - 5y = 12 and 4y + 24 = 5x, in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.

2x - 5y = 12

2x - 12 = 5y

Divide both sides by 5

\frac{2x - 12}{5} = \frac{5y}{5}

\frac{2x}{5} - \frac{12}{5} = y

Rewrite

y = \frac{2x}{5} - \frac{12}{5}

The slope of 2x - 5y = 12 is ⅖.

4y + 24 = 5x

4y = 5x - 24 (subtraction property of equality)

Divide both sides by 4

\frac{4y}{4} = \frac{5x - 24}{4}

y = \frac{5x}{4} - \frac{24}{4}

y = \frac{5x}{4} - 6

The y-intercet of 4y + 24 = 5x is -6

Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:

y = mx + b

Plug in the values of m and b

y = \frac{2}{5}x + (-6)

y = \frac{2}{5}x - 6

5 0
4 years ago
True or false, -|21| is always positive
Anuta_ua [19.1K]

Answer:

yes because it | | means absolute value

Step-by-step explanation:

8 0
3 years ago
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