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Ede4ka [16]
3 years ago
9

Which number(s) below belong to the solution set of the equation? Check all that apply.x + 12 = 13A.14B.1C.13D.312E.0F.25

Mathematics
1 answer:
Darya [45]3 years ago
4 0
X + 12 = 13
x = 13 - 12
x = 1

The only solution is x = 1
letter B
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Vera_Pavlovna [14]

Answer:

-1

Step-by-step explanation:

f of 3 is the same thing of f of x which is y. The questions is saying if x is equal to 3, then what is y. x is represented by domain and y is represented by range. If you find x which is 3 in the domain, then the arrow points to negative 1 in the range circle.

7 0
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Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x &gt; 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

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Replacing the values in our previous findings we get that the y intercept is

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\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
Stels [109]
So (f-g)(x) = 3x2 + x, so when x = 2, the function is 14
4 0
3 years ago
Last month Kim trained 3 times as many dogs as cats.
Lisa [10]

Answer:

8

Step-by-step explanation:

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4/4

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3 years ago
A sports club is planning a cookout. The food
DIA [1.3K]

Answer:

maximum number: 171

Step-by-step explanation:

The $500 budget that will serve the people (x) with flat fee of $200 and $1.75 per person

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