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3 years ago

Please help me with this algebra 2 question

Mathematics

2 answers:

riadik2000 [5.3K]3 years ago

7 0

A slope intercept line is always of the form
y = mx + b

Always. There are no exceptions.
The givens are
m = the slope
b = the y intercept.

That means m is the slope which is m = 5/6
The y intercept = - 3

y = (5/6)x - 3 is the answer.
Answer: Third one Down

Yakvenalex [24]3 years ago

4 0

Let's look at the slope-intercept form.
Y = MX + B
M= Slope
B= Y intercept.
The slope of the equation is 5/6. So the equation looks like.
5/6x+b=y
The y intercept is -3. Remember it's negative so we'll have to subtract.
The equation looks like:
5/6x-3=y
So the third option is the answer, y=5/6x-3

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

andrew11 [14]

Differentiating both sides of

$x^2 + 2xy - y^2 + x = 20$

with respect to $x$ yields

$2x + 2y + 2x \dfrac{dy}{dx} - 2y \dfrac{dy}{dx} + 1 = 0 \\\\ \implies (2x-2y) \dfrac{dy}{dx} = -1 - 2x - 2y \\\\ \implies \dfrac{dy}{dx} = \dfrac{1 + 2x + 2y}{2(y-x)}$

At the point (3, 4) (so $x=3$ and $y=4$ ), the tangent line has slope

$\dfrac{dy}{dx} = \dfrac{1 + 2\times3 + 2\times4}{2(4-3)} = \dfrac{15}2$

Then the tangent line to (3, 4) has equation

$y - 4 = \dfrac{15}2 (x - 3) \implies \boxed{y = \dfrac{15}2 x - \dfrac{37}2}$

7 0

2 years ago

Which of the following function types exhibit the end behavior (PICTURE INCLUDED)

Nostrana [21]

Answer:

$y=x^n$ ; $n$ is even and greater than zero.

The absolute value function $y=|x|$

Step-by-step explanation:

The power function;

$y=x^n$ ; $n$ is even and greater than zero, is symmetric with respect to the positive y-axis.

As $x\rightarrow \infty,f(x)\rightarrow \infty$ and as $x\rightarrow -\infty,f(x)\rightarrow \infty$

The absolute value function $y=|x|$ also has the same end behavior.

The remaining functions in the options provided do not exhibit this end behavior.

See graph in attachment.

4 0

4 years ago

The following relation is a function true or false

Bezzdna [24]

Answer:

true

Step-by-step explanation:

8 0

4 years ago

Bob gets paid 64 hour heard that is 2/3 Melissa makes how much is Alicia paid per hour

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Aubrey claims that if the dimensions of the parallelogram shown are doubled, then the area of the larger parallelogram will be 4

Ostrovityanka [42]

Answer:

Aubrey is correct because the area of the new parallelogram is 12 (6) = 72 square inches. The original area is 18 square inches. Since 4 (18) = 72, the new parallelogram has 4 times the area of the original.

Step-by-step explanation:

A parallelogram with a base of 6 inches and height of 3 inches. A side has a length of 5 inches.

Aubrey is correct because the area of the new parallelogram is 10 (7) = 70 square inches. The original area is 18 square inches. Since 4 (18) = 72, it is about 4 times larger than the original.

Aubrey is incorrect because if one doubles each dimension, then the area will automatically be doubled as well. The original area is 18 square inches so the new parallelogram will have an area of 2 (18) = 36, or two times more than the original.

Aubrey is incorrect because if one doubles each dimension, then the area will automatically be doubled as well. The original area is 30 square inches so the new parallelogram will have an area of 2 (30) = 60, or 2 times more than the original.

Workings

Area of a parallelogram=base×height

Original parallelogram

Base=6 inches

Height=3 inches

Area=base×height

=6×3

=18 square inches

New parallelogram with doubled dimensions

Base=6 inches doubled=12 inches

Height=3 inches doubled=6 inches

Area=base×height

=12×6

=72 square inches

New area=4 times original area

New area=4×18

New area=72 square inches

5 0

3 years ago