: Discuss the continuity of the function f(x)=xtan(1/x) at x = 0 given that x≠0 and f(0)=0.

Step-by-step explanation:

2/3x-8/3

hope it helps

Answer:

Hi

The answer is 90%

Step-by-step explanation:

45/50 x 100=90

Percent of problems scored by Oscar is [tex]\boldsymbol{ 90\%}[/tex]

A percentage is a figure or ratio that is stated as a percentage of one hundred. The percent symbol, "[tex]\boldsymbol{\%}[/tex] ," is frequently then used represent it.

Score of Oscar in a test [tex]=\frac{45}{50}[/tex]

Therefore,

Percent of problems scored by Oscar [tex]=\boldsymbol{\frac{45}{50}\times 100 }[/tex]

                                                             [tex]=\boldsymbol{ 90\%}[/tex]

Find out more information about percentage here:

https://brainly.com/question/13450942?referrer=searchResults

Answer:

24/9 or $2.67/year

Step-by-step explanation:

Answer:

P = 200L - 600

Step-by-step explanation:

Answer:

3.428 or 3 wholes 3/7

Step-by-step explanation:

6 : 7 = n : 4 : 2

6 : 7 = n : 4

6/7 = n/4

7n = 24

n = 24 /7

n = 3. 428 or 3 wholes 3/7

1 3/4 or 7/4

Ensure to heart if this helps$

Answer:

3-1*1/4

3-1/4

12-1-(/4)

11/4

Hey there!

[tex]\textsf{5x + 3y - 2y + 3xy + 5xy - 10x}[/tex]

[tex]\textsf{Combine like terms}[/tex]

[tex]\textsf{(5x - 10x) + (3y - 2y) + (3xy + 5xy)}\\\mathsf{5x - 10x = -5x}\\\mathsf{3y - 2y = 1y}\\\mathsf{3xy + 5xy= 8xy}\\\boxed{\boxed{\mathsf{Answer: \bf{8xy-5x+y}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer: 3v

Step-by-step explanation:

Answer:

We conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:

The graph of the line is also attached.

Step-by-step explanation:

Given

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

substituting the values m = 3 and the point (x₁, y₁) = (3,-3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-3\right)=3\left(x-3\right)[/tex]

Apply rule: -(-a) = a

[tex]y+3=3\left(x-3\right)[/tex]

subtract 3 from both sides

[tex]y+3-3=3\left(x-3\right)-3[/tex]

simplify

[tex]y=3x-12[/tex]

Therefore, we conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:

The graph of the line is also attached.

Answer:

An equation in the slope-intercept form is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where  m is the rate of change or slope and b is the y-intercept

Given

Given that every month Monica withdraws $15 from this account for her contact lenses

Given that after 3 months she has $255 left in her account.

i.e. (3, 255)

substituting [tex]m = 15[/tex], [tex]x = 3[/tex] and [tex]y = 255[/tex] in the slope-intercept form to determine the y-intercept

[tex]y = mx+b[/tex]

[tex]255 = 15(3) + b[/tex]

switch sides

[tex]15(3) + b = 255[/tex]

[tex]45 + b = 255[/tex]

[tex]b = 255 - 45[/tex]

[tex]b = 210[/tex]

Thus, the y-intercept b = 210

Now, substituting [tex]m = 15[/tex] and [tex]b = 210[/tex] in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 15x+210[/tex]

Hence, an equation in the slope-intercept form is:

Answer:x= 8/√3, y= 16/ √3

Step-by-step explanation:

See the picture below

Answer:

1) 1/2

2) 3

3)-5

Step-by-step explanation:

to find slope: divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. so here on 1) you do (3-2)/(2-0)= 1/2.

2) (7-1)/(-1- (-3))= 6/2=3.

3) (-15-0)/(7-4)= -15/3=-5

Answer:

9

Step-by-step explanation:

first add 4

3x=27

divide 3

x=9

Answer:

= 9

Step-by-step explanation:

3 − 4 = 2 3

Add 4 to both sides of the equation:

3 − 4 + 4 = 2 3 + 4

Simplify:

3=27

Divide both sides of the equation by the same term:

3/3=27/3

Cancel terms that are in both the numerator and denominator:

=27/3

Divide the numbers:

x=9

Done!

Answer:

11.07

Step-by-step explanation:

2.7

x4.1

=11.07

Answer:

11.07

Step-by-step explanation:

Answer:

Its A) y=3/2x

Step-by-step explanation:

-3/2x would be the exact opposite of 3/2x it would be the same line but facing the left side because its on the negative side. And the others are not the same as 3/2x.

Sorry if i could not explain that well, but I am 99% sure its A, y=3/2x

Answer:

Step-by-step explanation:

divide each number by 4

12/16

12/4 = 3

16/4 = 4

3/4

hope this helps <3

Answer:

Step-by-step explanation:

(3, 1) (6, -1)

(-1 -1)/(6-3) = -2/3

y - 1 = -2/3(x - 3)

y - 1 = -2/3x + 2

y = -2/3x + 3

Answer:

560 cubes

Step-by-step explanation:

Is 2 213 supposed to read 2 1/3? First calculate the volume of the box

V_box = 8/3 * 10/3 * 7/3 = 560/27 cubic inches

Now calculate the volume of your 1/3 inch cube:

V_cube = 1/3 * 1/3 * 1/3 = 1/27 cubic inches

Now divide the V_box by V_cube:

Number of boxes = (560/27) / (1/27) = (560/27) * (27/1) = 560 cubes

Answer:

Scale factor = 1/2

Explanation:

The purple shape is a dilation of the black shape.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now findd the scale factor.

If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio

Answer:Scale factor = 1/2

The purple shape is a dilation of the black shape.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now findd the scale factor.

If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio like so: Scale Factor = purple/black

Scale factor = 10/20 = 1/2

Answer:

9264.5908

Step-by-step explanation:

move the decimal

Answer:

How many tenths are in the following number: 926.45908**. 1. See answer. Add answer+5 pts. Log in to add comment. sandovalkenny0209 i

Step-by-step explanation:

Answer:

-10 - 14g

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Step-by-step explanation:

Step 1: Define

-2(5 + 7g)

Step 2: Expand

Answer:

The answer is 2)a=−2

Answer:

0.0002

Step-by-step explanation:

hope this helps

Answer:

x = 12

Step-by-step explanation:

Reference angle = 45°

Opposite side length = x

Hypotenuse = 12√2

Thus, to find x, apply trigonometric ratio.

[tex] sin(45) = \frac{x}{12\sqrt{2}} [/tex]

Multiply both sides by 12√2

[tex] sin(45)*{12\sqrt{2}} = x [/tex]

[tex] \frac{1}{\sqrt{2}}*{12\sqrt{2}} = x [/tex] (sin 45 = 1/√2)

[tex] \frac{1*12\sqrt{2}}{\sqrt{2}} = x [/tex]

[tex] \frac{12\sqrt{2}}{\sqrt{2}} = x [/tex]

12 = x

x = 12

Answer:

42

Step-by-step explanation:

1st step: 63 divided by 3= 21

2nd step: 63- 21= 42

Answer:

1) immigrant

2) citizen

3) native born-citizen

4) quotas

5) census

6) birth rate

Step-by-step explanation:

..

Answer:

-1/2

Step-by-step explanation:

In a linear relationship, the rate of change of one variable with respect to the other is constant. When we talk about change, we're looking for a difference of values.

If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the rate of change is the number we get by dividing one of these by the other.

The rate of change we're used to seeing, sometimes called the slope, is Δy/Δx. So, using the values we've already found:

[tex]\Delta{x}=2\\\Delta{y}=-1\\\Delta{y}/\Delta{x}=-1/2[/tex]

Answer:1/2

Step-by-step explanation:

Because the other guy said so and they seem smart so...yeah I would pick that one.

Answer:

The correct unit price is $1.16 per pair.

The contractor calculated the unit price in terms of per dozen.

Step-by-step explanation:

Given that:

Cost of 5 dozen pairs = $69.60

Unit price per dozen = [tex]\frac{69.60}{5} =\$13.92[/tex]

Unit price means the price of one pair of padded work gloves, so we will convert dozens into unit.

1 dozen = 12 pairs

5 dozen = 60 pairs

Unit price = [tex]\frac{69.60}{60}[/tex]

Unit price = $1.16 per pair

Hence,

The correct unit price is $1.16 per pair.

The contractor calculated the unit price in terms of per dozen.

Answer:

4x4 is 16

Step-by-step explanation:

mmmm lemme guess.. is it 736??:o

Answer:

Slope of XZ = -5/9

Slope of YZ  = 2/7

Slope of XY  = -7/2

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

For XZ

X(−5, 5), and Z(4, 0)

Slope of XZ = 0-5/4-(-5)

Slope of XZ = -5/4+5

Slope of XZ = -5/9

For YZ

Y(−3, −2), and Z(4, 0).

Slope of YZ = 0-(-2)/4-(-3)

Slope of YZ = 2/4+3

Slope of YZ  = 2/7

For XY

X(−5, 5), Y(−3, −2)

Slope of XY = -2-5/-3-(-5)

Slope of XY = -7/-3+5

Slope of XY = -7/2

For two lines to be perpendicular, the product of their slope must be -1

Taking the product of XY and YZ

mXY * mYZ = -7/2 * 2/7

mXY * mYZ  = -1

since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle