In y=x+b,what is the slope<br>and how you know

Find the range of f(x)=-2x + 6 for the domain {-1, 3, 7, 9}

Blizzard [7]

Answer:

range {4, 12, 20, 24}

Step-by-step explanation:

Plug each of the numbers in for x and solve for y

3 0

2 years ago

Rewrite the expression in the form... (PLZ HELP QUICK I'LL GIVE BRAINLIEST)

ivanzaharov [21]

Answer: $3*z^\frac{2}{9}$

Step-by-step explanation:

The exponent 1/3 is the same thing as cube rooting the expression.

$\sqrt[3]{27\sqrt[3]{z^2} }$

3* $z^{2/9}$

Hope it helps <3

4 0

2 years ago

Samantha is making a quilt and she has determined she needs 450 square inches of yellow fabric and 478

asambeis [7]

Conversions:

1 yard = 36 inches

The store only sells fabric by the by the quarter yard.

<h2><u><em>The yellow fabric: 450/36 = 12.5 square yards</em></u></h2><h2><u><em>The blue fabric: 478/36 is around 13.3 square yards</em></u></h2>

Total Amount: 12.5+13.3=

<h2><u><em>25.8 square yards</em></u></h2>

7 0

1 year ago

Jack biked to his friend house at a speed of 10 mph. When he was returning home it was raining. So he biked much slower - at 6 m

AVprozaik [17]

Answer:

7.5

Step-by-step explanation:

The relation between time, speed, and distance is ...

time = distance/speed

If distance is "1 round trip", then the time going is ...

going = 0.5/(10 mi/h) . . . . for 1/2 round trip

and the time coming is ...

coming = 0.5/(6 mi/h)

Then the average speed for the full round trip is ...

speed = distance/time

average speed = 1/(going + coming) = 1/(0.5/10 +0.5/6) mi/h

= 1/((3+5)/60) mi/h

= 60/8 mi/h = 7.5 mi/h

Jack's average speed for the round trip was 7.5 mph.

7 0

2 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

3 years ago

In y=x+b,what is the slopeand how you know​

In y=x+b,what is the slopeand how you know