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3 years ago

15

What will the new position of the given point (3,-5) afterreflection across the y-axis?

1 answer:

Rina8888 [55]3 years ago

4 0

Answer:

(- 3, - 5 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

(3, - 5 ) → (- 3, - 5 )

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Find the indicated limit, if it exists.

kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

<u>Calculus</u>

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}$

<u>Step 2: Find Right-Side Limit</u>

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0$

<u>Step 3: Find Left-Side Limit</u>

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^-} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ Since $\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)$ , then $\displaystyle \lim_{x \to 5} f(x) = DNE$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

2 years ago

What is 3x+70=8x-20 show work

Elena-2011 [213]

Answer:

Hi there!

Your answer is:

x= 18

Step-by-step explanation:

3x+70=8x-20

Isolate x on left side

3x+70=8x-20

-8x -8x

-5x +70 = -20

Isolate whole numbers on right side

-5x +70 = -20

-70 -70

-5x = -90

Isolate x by dividing both sides by -5

-5x = -90

/-5

x= 18

6 0

2 years ago

I really need help on this

kvasek [131]

Answer:

i think its c i could be wrong but just go with your gut felling

Step-by-step explanation:

4 0

2 years ago

Please answer asap.........

iren [92.7K]

Answer:

1.4 i would wait for someone else to answer it I'm not sure

Step-by-step explanation:

5 0

3 years ago

The top of a picnic table has a width represented by 2x in inches. It has an area represented by the expression 6x2 – 14x in squ

baherus [9]

Answer:

So length of top of table is 3x-7 inches.

Step-by-step explanation:

Here we are given that the top of the table has a width that is given by 2x inches.

The area of the top is given by:

$Area=6x^{2}-14x$

Now the top of the table is of the shape of rectangle and area of rectangle is given by:

$A=l*w$

where l is length of the table and w is width of the table.

Plugging the values of A and w in the formula we have:

$6x^{2}-14x=l*2x$

Dividing by 2x,

l=3x-7 inches

So length of top of table is 3x-7 inches.

8 0

3 years ago

Read 2 more answers