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4 years ago

id="TexFormula1" title="\frac{3}{4} x+3-2x=-\frac{1}{4} +\frac{1}{2} x+5" alt="\frac{3}{4} x+3-2x=-\frac{1}{4} +\frac{1}{2} x+5" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Shtirlitz [24]4 years ago

4 0

Your answer would be: x= -1

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A box contains 6 yellow, 3 red, 5 green, and 7 blue colored pencils. A colored pencil is chosen at random, replaced, then anothe

ivolga24 [154]

Answer: 7/21 for blue and 6/21 for yellow. so 7/14

Step-by-step explanation:

7 0

3 years ago

Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

4 years ago

Not sure what it is wanting

Gnesinka [82]

Answer:

8 baseballs : 4 gloves

4 baseballs : 2 gloves

16 baseballs : 8 gloves

2 baseballs : 1 glove

10 baseballs : 5 gloves

Step-by-step explanation:

I think It's just asking to put some ratios that go with the one given.

3 0

3 years ago

Brandy has a new part-time job. On Monday, she worked 8 hours. On Wednesday, she worked three-fourths as long as she did on Mond

Setler79 [48]

Answer:

both of them are odd (because both of them are even, the reverse would be true)

Step-by-step explanation:

if she worked 8 on Monday, and on Wednesday worked for 3/4ths that amount of time she would've worked 6 hours. So an UNTRUE statement about this would be that they're both odd.

8 0

3 years ago

Is this an algebraic or a numerical expression?

Lelechka [254]

A is the correct choice. Algebraic expression 6n-17

6 0

3 years ago

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