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jeka57 [31]
3 years ago
6

Absolute value inequalities |3-4x|<3

Mathematics
1 answer:
Paha777 [63]3 years ago
4 0

Answer:

|3-4x|<3

Step-by-step explanation:

3-4x<3

-4x<0

x>0

3-4x>-3

-4x>-6

x>3/2

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marrisa got an 85% on her math quiz. she had 34 questions correct .how many questions were on the quiz
xeze [42]

Answer:

40

Step-by-step explanation

34 divided by 85 times 100 equals 40

plz mark me as brainliest :)

6 0
3 years ago
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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

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

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

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\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
I don't know how to do this please help
AveGali [126]
5z>15-----subtract 2 on both sides
z>3----divide by 5
therefore, z must equal -10, or -4
8 0
3 years ago
What is the exercise 3-8?
wlad13 [49]
3-8 equals to -5 because if you stele a number line and count 8 points from three it will equal -5
5 0
3 years ago
After the first four games of a professional football season, three players scored a total of 80 touchdowns.
aleksandr82 [10.1K]

Andre Roberts scored a total of 34 touchdowns

An equation is an expression that shows the relationship between two or more variables and numbers.

The total touchdowns is 80.

Duke Johnson scored 14 of the touchdowns.

Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32

Let x represent the number of touchdowns scored by Andre Roberts, hence:

x + 14 + 32 = 80

x + 46 = 80

x = 34

Andre Roberts scored a total of 34 touchdowns

Find more about equation at: brainly.com/question/2972832

7 0
2 years ago
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