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3 years ago

7<4q-9 ALGEBRA:) Need help Please! Gracias!!

Mathematics

1 answer:

Vanyuwa [196]3 years ago

6 0

Answer:

q > 4

Step-by-step explanation:

Step 1: Write inequality

7 < 4q - 9

Step 2: Solve for q

Add 9 to both sides: 16 < 4q

Divide both sides by 4: 4 < q

Here, we can see that any number greater than 4 will work. So even 23573489079357 would work, as long as it is greater than 4.

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Answer:

3.58

Step-by-step explanation:

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What is the y-intercept: 7x + y = 10

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Answer:

Step-by-step explanation:

7(0)+y=10

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3 years ago

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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:

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

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

$A = 4$

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4 years ago

a student usually saves $45 a month. He would like to reach a goal of saving $700 in 12 months. The student writes the equation

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Answer:

in this case, x is the amount more he needs to save per month

350=12(x+20)

distribute

350=12x+240

minus 240 both sides

110=12x

divide both sides by 12

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needs to save about $9.17 more per month or 29.17 permonth

Step-by-step explanation:

sorry if its wrong i tried and maybe i could get brainliest?

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