Find the derivative of √2-3x using first principle method​

By translating the pre-image triangle CRT with this translation rule (x, y) →  (x + 2, y - 4), the coordinates of the image triangle C'R'T' are: C' (-2, -2), R' (-3, -5), and T' (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or parent function.

Note: Each interval on this graph represents 1 unit.

Next, we would transform triangle CRT by using this translation rule (x, y) →  (x + 2, y - 4) to create the vertices of triangle C'R'T' as follows:

(x, y)                    →        (x + 2, y - 4)

Point C (-4, 2)     →       Point C' = (-4 + 2, 2 - 4) = (-2, -2)

Point R (-5, -1)     →       Point R' = (-5 + 2, -1 - 4) = (-3, -5)

Point T (1, 1)         →       Point T' = (1 + 2, 1 - 4) = (3, -3)

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Answer: y= 2/5x - 5

Step-by-step explanation:

To use this we will put the equation in point slope form

y-y1 = m (x-x1)     (y1 and x1 and points where the line passes through)

y + 3 = 2/5(x - 5)

y + 3 = 2/5x - 2

y = 2/5x - 5

To calculate the horizontal displacement of a horizontally launched projectile.

The formula for calculating the horizontal displacement of a horizontally launched projectile is [tex]x = v*t[/tex]

A projectile launched horizontally with a velocity v, at a height y ,travels a horizontal distance x, while falling through a distance y.

The horizontal velocity of a projectile remains constant throughout its motion, in the absence of air resistance. The vertical component of the velocity is under the action of the gravitational force and hence it increases in magnitude as it falls through the height.

The horizontal displacement of the projectile is a uniform motion and it occurs at a constant speed v.

Hence, the horizontal displacement of the projectile is given by the expression.[tex]x = v*t[/tex]

It would help to recreate the problem variables in the math equation editor, or define what you mean by "vi(cos )t"  and "[tex]v*t[/tex]".  These are somewhat vague descriptions.

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Answer:

(-5,4) and (5,-8) are our points

as slope formula is [tex]\frac{y2-y1}{x2-x1}[/tex]

we can say the slope is

-8-4/ 5-(-5)

-12/10

-6/5 is our slope

so for slope intercept form it should be,

[tex]y=\frac{-6}{5} x-2[/tex]

good luck! <3

Answer:

77

Step-by-step explanation:

So, for long division we have 38.5/0.5

     60+16+1 =77

0.5/38.5

     -30= (0.5/8.5)

                     -8.0=(.5/.5)

                               -.5=0

Answer:

Not factorable.

Step-by-step explanation:

4k² + 6k - 1

We can do it by the guess method.

We need two factors of 4 and two factors of -1.

4 factors into 4 and 1, 2 and 2.

-1 factors into -1 and 1.

Now we fit the factors until we find the answer.

Try: (2k - 1)(2k + 1)

Multiply it out: 4k²- 1 This is not it.

Try: (4k + 1)(k - 1)

Multiply it out: 4k² - 3k - 1 This does not work.

Try: (4k - 1)(k + 1)

Multiply it out: 4k² + 3k - 1 This does not work.

All combinations of factorizations of the coefficients were tried and none worked.

Answer: Not factorable.

Answer:

2,-3,-1

Step-by-step explanation:

f(x)=2x³+4x²-10x-12

f(x)=2(x-2)(x+1)(x+3)

F.theo: if f(a)=0, (x-a) is a factor of f(x)

Therefore, (x-2)=0 (x+1)=0 (x+3)=0

The other zeros are x=2, x=-1 and x=-3

The slope(m) of the equation is 1 and the y intercept(b) is  -4 , the graph of the line is shown below .

In the question ,

it is given that ,

the equation of the line is given as

y = x - 4 ,

we need to find the slope(m) and y intercept(b) of the given line ,

We know that the general equation of the line is y = mx + b

where m is slope and b is  y intercept .

On comparing both the equations , we can conclude that

the slope is 1 and the y intercept is -4 .

to graph the line , we need two points

put x = 0 , we get y = -4

the first point is (0,-4)

for second point put y = 0, we get x = 4 ,

the second point is (4 , 0)

the graph of the line described by the equation is shown below .

Therefore , The slope(m) of the equation is 1 and the y intercept(b) is  -4 .

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Answer: A≈451.93

Step-by-step explanation:

If a straight line has a gradient of 3 and passes through a point (2, 10), then the equation of the line is [y = (3x + 4)].

As per the question statement, a straight line has a gradient of 3 and passes through a point (2, 10),

And we are required to determine the equation of the above mentioned line.

To answer this question, we need to know the formula to determine the equation of a straight line having a known slope, say "m", and passing through a known point, say (x₁, y₁), which goes as,

[(y - y₁) = {m(x - x₁)]

Here, since our concerned line has a gradient of 3, i.e., (m = 3), and passes through a point (2, 10), i.e., [(x₁, y₁) = (2, 10)], using these values in the above mentioned formula to determine the equation of a straight line having a known slope and passing through a known point, we get,

[(y - 10) = {3(x - 2)}]

Or, [(y - 10) = (3x - 6)]

Or, [y = 3x + (10 - 6)]

Or, [y = (3x + 4)]

That is, the equation of a straight line having a gradient of 3 and passing through a point (2, 10) is [y = (3x + 4)].

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Using compound interest formula, the the amount after 5 years is  $15,095.39

The total amount a college student has in a saving account if 13000 dollars was invested and earned 3% compounded quarterly for 5 years can be calculated as follows:

Therefore,

[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]

where

Therefore,

p = 13000 dollars

t = 5 years

n = 4

r = 3% = 0.03

Therefore,

[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]

[tex]A = 13000(1+ \frac{0.03}{4} )^{(4)(5)}[/tex]

A = 13,000.00(1 + 0.0075)²⁰

A = $15,095.39

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The perimeter and area of the rectangle are 13 / 6 yards and  1 / 4 yard² respectively

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The perimeter of a rectangle is the sum of the whole 4 sides of the rectangle.

Therefore,

perimeter of a rectangle = 2(l + w)

where

Therefore,

perimeter of the rectangle = 2(3 / 4 + 1 / 3)

perimeter of the rectangle = 2 ( 9 + 4/ 12)

perimeter of the rectangle = 2(13 / 12)

perimeter of the rectangle  = 26 / 12

perimeter of the rectangle  = 13 / 6 yards

Area of the rectangle = lw

Therefore,

Area of the rectangle = 3 / 4 × 1 / 3

Area of the rectangle = 3 / 12

Area of the rectangle = 1 / 4 yard²

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This question can be done using simple BODMAS rule, the answer according to which is in main body.

What is BODMAS?

BODMAS stands for Bracket Of Division Multiplication Addition Subtraction.

Main Body:

according to question=

6-4x = 6x -8x +2

solving the like terms on right side

6 - 4x = -2x +2

-2x is the answer to first blank

solving further,

6 = -2x +4x +2

6 = 2x +2

so 2x is the answer to second blank.

now taking 2 to left side ,

4 = 2x

x= 2

Hence the value to blanks are found.

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The number of cubes made from the given cuboid is 9.

From the given figure, height =6 units, width =4 units and length =3 units.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

a) Now, volume of cuboid = Length × Width × Height

= 3×4×6

= 72 cubic units

From the figure, edge of cube is 2 units

b) Volume of cube =a³, where a is edge

= 2³

= 8 cubic units

Number of cubes = Volume of cuboid/Volume of cube

= 72/8

= 9

Therefore, the number of cubes made from the given cuboid is 9.

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Answer:true

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

x/6 = 2

you have to divide x equally into 6 two times to find x you have to

Times the Denominator and the answer (6·2)

which results in being 12

and to check you plug 12 into x and get this 12/6 = 2

6*2 = 12

so 12 was divided 2 times into 6 and you get 2 = 2  

I know the way I summed it up was lengthy sorry about that.

Answer: 117.2

Step-by-step explanation:

c² = a² + b² - 2ab cos C

b²= a² + c² - 2ac cosB

x² = 61² + 63² - 2(61)(63) cos142

x²= 13746.65065

x ≈ 117.2  

The height of the box is 2.15 inches.

Let the height be 'h'

Given, length is 5 inches more than height, l = h + 5

Width is 2 times the height, b = 2h

Total Volume of rectangular box = 66 in³

⇒ l×b×h = 66

⇒ (h+5)(2h)h = 66

⇒ 2h³ + 10h² = 66

⇒ 2(h³ + 5h²) = 2×33

⇒ h³ + 5h² - 33 = 0

Using, graphing calculator and by plotting the above equation, we can get h = 2.149 in ≈ 2.15 in

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Answer:

21 and 167/1000

"/" represents a fraction, so 167 over 1,000

Step-by-step explanation:

Hard to explain.

Answer: 2 1/6

Step-by-step explanation:

34.2 = 13.4 + 9.6x

34.2-13.4=9.6x

20.8=9.6x

20.8 divided by 9.6= 2.166666666

2 1/6

The degree measure of each angle in the triangle are:

F = 31°

G = 90°

H = 59°

It is important to note the following in the triangle:

Sum of all angle in a triangle = 180°

A right angle = 90°

Therefore, since G is a right angle, it's 90°.

H = 5x - 16

F = 3x - 14

The value of x will be found thus:

F + G + H = 180°

3x - 14 + 90° + 5x - 16 = 180

Collect like terms

3x + 5x = 180 + 14 - 90 + 16

8x = 120

Divide

x = 120 / 8

x = 15°

Therefore,

H = 5x - 16

H = 5(15) - 16

H = 75 - 16

H = 59°

F = 3x - 14

F = 3(15) - 14

F = 45 - 14

F = 31°

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Non-response bias can occur when subjects who refuse to take part in a study, or who drop out before the study can be completed, are systematically different from those who participate.

Hence,Non-response bias can occur when subjects who refuse to take part in a study, or who drop out before the study can be completed, are systematically different from those who participate.

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The error Noa made is:

Step 4: 44 32/24 - 37 15/24= 8 17/24

Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.

1. Let's review carefully all the steps taken by Noa to calculate the difference of the circumferences of the two trees.

Circumference Tree 1 = 37 5/8 inches around

Circumference Tree 2 =  45 1/3 inches around

Step 1: 45 1/3- 37 5/8

The measures are correct, no issues copying them.

Step 2: 45 8/24 - 37 15/24

Noa looked for common denominators

1/3 * 8/8 = 8 /24 is correct; 5/8 * 3/3 = 15/24 is also correct.

Step 3: 44 32/24 - 37 15/24

Noa looked for making the fraction part higher on the left side:

45 8/24 = 44 32/24 is correct because 24/24 = 1

Step 4: 44 32/24 - 37 15/24= 8 17/24

Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.

Hence Noa made a mistake in step 4.

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By using the concept of Depreciation, it is obtained that

Warrem's body  metabolize half of the 84 mg of caffeine in 4.71 hours

What is Depreciation?

Depreciation is the reduction in the value of a product at a certain rate over a certain period of time.

Here the concept of Depreciation has been used

Let the time taken to metabolize half of the 84 mg of caffeine be t hours

Damien's body metabolizes caffeine at a rate of 13.7% per hour

By the problem,

[tex]84(1 - \frac{13.7}{100})^t = 42\\\\(1 - \frac{13.7}{100})^t = \frac{42}{84}\\\\(1 - \frac{13.7}{100})^t = \frac{1}{2}\\\\(\frac{100 -13.7}{100})^t = \frac{1}{2}\\\\(\frac{86.3}{100})^t = \frac{1}{2}\\\\(\frac{863}{1000})^t = \frac{1}{2}\\\\t(ln(\frac{863}{1000}) = -0.693\\\\-0.147t = -0.693\\\\t = \frac{0.693}{0.147}\\\\t = 4.71 \ hours[/tex]

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A horse trainer records the distance a horse travels during three different trials.

The horse's average speed = 0.3 kilometers per minute.

Given the following data:

Time 1 = 15 minutes

Time 2 = 30 minutes

Time 3 = 45 minutes

Distance 1 = 4.5 kilometers

Distance 2 = 9.0 kilometers

Distance 3 = 13.5 kilometers

To determine the horse's average speed in kilometers per minute:

First of all, we would find the total time and total distance covered:

For total time:

Total Time = 15+30+45

Total time = 90 minutes

For total distance:

Total Time = 4.5+9.0+13.5

Total time = 27 kilometers.

Mathematically, average speed is given by the formula:

[tex]Average speed = \frac{Total Distance}{Total Time}[/tex]

[tex]Average Speed = \frac{27}{90}[/tex]

Hence, the answer is the horse's average speed = 0.3 kilometers per minute.

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Answer:

I'm going to assume that YZ is half of VW.

VW = (YZ)2

5x + 5 = (3x)2

5x + 5 = 6x

[subtract 5x from both sides]

5 = x

YZ = 3x, and x = 5, so YZ = 3(5).

YZ = 15.

Answer:

y=-6

Step-by-step explanation:

this is because y equal to 7 is flat so for it to be parallel the other line also has to be flat so the line will be passing through the same y value for the entire time which is -6

Hopes this helps pleae mark brainliest

Answer:

if there is a total of 360 degrees on every circle how much is left?

Answer:

x = 136°

Step-by-step explanation:

It is the same corresponding angle

Hope this helps