The gradient at any point on the curve y=f(x) is given by the equation dy/dx=1/✓x-2.The curve passes through the point (2,3).Find the equation of this curve.​

Answer:

Option 4

Step-by-step explanation:

=> [tex]\frac{4}{5} x^{-9}y^6z^8[/tex]

If there is any variable having a negative exponent, we should move it to its opposite side (Denominator to numerator and vice versa) So that it's exponent become positive.

=> [tex]\frac{4y^6z^8}{5x^9}[/tex]

Answer: D) [tex]\frac{4y^6z^8}{5x^9}[/tex]

Step-by-step explanation:

(4/5)x^-9y^6z^8 = [tex]\frac{4x^{-9}y^6z^8}{5}[/tex]

Any negative exponent can be taken to the other side of the fraction to be positive.  Thus,

[tex]\frac{4x^{-9}y^6z^8}{5}[/tex] = [tex]\frac{4y^6z^8}{5x^9}[/tex]

Hope it helps <3

Answer:

Find it in the explanation

Step-by-step explanation:

Equate the two solutions.

2x+3y=6 is exactly half of -4x+3y=12, so multiply 2x+3y=6 by 2.

Now we get

4x+6y=12 and

-4x+3y=12

Here what operation you use is your choice, but because I see a positive 4x and a negative 4x down below, I'm gonna use addition to cancel out the x.

Adding these two equations together, I get:

9y=24

y=24/9

in fraction form y= 2 and 2 thirds.

Plug that in any of the equations and solve for the value of x, which will be -1

Therefore, the coordinates are (-1, 2 and 2/3)

Answer:

The answer is x= -1/2 and y= 7/3 or 2whole 1/3.

hope it helps..

Answer

30 minutes

Step-by-step explanation:

Answer: approximately 26.66667  minutes

This converts to 26 minutes, 40 seconds

=================================================

Explanation:

Let's say there are 360 newspapers that need to be delivered.

The two brothers can get the job done in 40 minutes if they work together. Their rate is 360/40 = 9 newspapers per minute.

Richie can do the full job alone in 90 minutes. So his rate would be 360/90 = 4 newspapers per minute. In 30 minutes, he delivers 30*4 = 120 newspapers. This leaves 360 - 120 = 240 left over.

Divide this over the rate of 9 papers per minute to get 240/9 = 26.66667 approximately. It takes about 26.66667 minutes to finish up delivering the 240 remaining newspapers if the brothers work together.

The portion 0.66667 multiplies with 60 to get 0.66667*60 = 40.0002 which rounds to 40 (we have rounding error going on). This means

26.66667 minutes = 26 minutes, 40 seconds

Answer:

d. y= 5x+18

Step-by-step explanation:

y=mx+b is slope intercept form

Now we plug in the information given to us which is slope(m) is 5 and a point (x,y) which is (2,28).

So by substituting we get 28=5(2)+b

simplify to 28=10+b and when we subtract 10 from both sides to isolate 'b', we get that b = 18.

So now we use the values of slope(m) and the y-intercept(b) to write the equation:

y=5x+18

Hey there! I'm happy to help!

Slope-intercept form is a way to write the equation of a line, and it is very useful. It is y=mx+b. This equation shows how y is related to x on a line. The m represents the slope, which is the incline of the line. The b represents the y-intercept, or where the line hits the y-axis.

If you find any value for x and plug it into the equation, you will figure out what y-value it matches on the line. If you had the equation you could draw the line by plugging in x-values and plotting points and connecting the dots!

Anyways, we have a slope of 5. This means that so far our equation looks like y=5x+b. It does not tell us what the y-intercept is, so we need to figure it out!

If we have the values for m, x, and b, we can solve for y. Well, we don't have b, but we do have values for y, x, and m, so we should be able to solve for b!

We will plug in our point (2,28) and solve for b!

28=5(2)+b

28=10+b

b=18

Our y-intercept is 18.

So, we can write this equation in slope-intercept form for the line that follows the condition of slope 5 and passing through (2,28) below.

y=5x+18

Therefore, our answer is d. 5x+18.

Now you can find the equation of a line given the slope and a point! Have a wonderful day! :D

Answer:

For 13, there are 25 possible words, and for 14, depending on what the meaning of leaves is in this, the answer is 590.

Answer:

The first one is 25 and the second is 1080.

Step-by-step explanation:

To find how many 5-letter words you can make out of the letters, H, Q, L, R, and S, find the answer to 5². 5² = 25, so we can make 25 5-letter words. To find the number of "leaves" on the tree, just multiply the number of choices for color, monitor size, hard-drive size, and battery type together. So, 5×9×12×2 = 1080, so there are 1080 "leaves" on the tree.

Hope this helps! Plz give me brainliest like you said, it will help me achieve my next rank.

Given:

Mean of 52 minutes and a standard deviation of 5 minutes.

Solution:

According to the empirical rule: For the normal distribution, all of the data will fall within three standard deviations of the mean.

1: 68% of the data will fall within the first standard deviation from the mean.

2: 95% of the data fall within two standard deviations.

3: 99.7% of the data fall within three standard deviations.

[tex]3SD =99.7\%=\mu\pm3\sigma\\[/tex]

Therefore, the 7 intervals and their probabilities are:

1. [tex]1SD=0.68=P(47<x<57)[/tex]

2. [tex]0.95=P(42<x<62)[/tex]

3. [tex]0.997=P(37<x<67)[/tex]

4.[tex]13.5\%=P(42<x<47)[/tex]

5.[tex]13.5\%=P(57<x<62)[/tex]

6. [tex]2.35\%=P(37<x<42)[/tex]

7.[tex]2.35\%=P(62<x<67)[/tex]

Answer:

Vinegar: 40 milliliters

Italian dressing: 280 milliliters

Step-by-step explanation:

I jus took the test :)

Answer:

y ≤ (1/2)x + 2

Step-by-step explanation:

Find the equation of the solid line.  It is immediately evident that the y-intercept is (0, 2).  The line also passes through (-4, 0).  Starting at (-4, 0), x (the run) increases by 4 to 0 and y (the rise) increases from 0 to 2.  Thus, the slope of this line is m = rise / run = 2/4, or m = 1/2.

Thus the equation of the line is y ≤ (1/2)x + 2.

Answer:

Step-by-step explanation:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\[/tex]

A(2, -6), B(5, -6),

       [tex]AB =\sqrt{(5-2)^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(5-2)^{2}+(-6+6)^{2}}\\\\=\sqrt{3^{2}+0}\\\\=\sqrt{3^{2}}\\\\=3 units\\[/tex]

B(5,-6) ; C(5,-2)

[tex]BC = \sqrt{(5-5)^{2}+(-2-[-6])^{2}}\\\\ = \sqrt{0+(-2+6)^{2}}\\\\ = \sqrt{4^{2}}\\\\[/tex]

BC = 4 units

C(5, -2) ; D (2,-2)

[tex]CD = \sqrt{(2-5)^{2}+(-2-[-2])^{2}}\\\\ = \sqrt{(-3)^{2}+(-2+2)^{2}}\\\\ = \sqrt{(-3)^{2}}[/tex]

CD = 3 units

A(2,-6) ; D(2,-2)

[tex]AD = \sqrt{(2-2)^{2}+(-2+6)^{2}}\\\\ = \sqrt{0 +(4)^{2}}\\\\ = \sqrt{(4)^{2}}\\[/tex]

= 4 units

Perimeter = AB + BC + CD + AD

                = 3 + 4 + 3 + 4

                 = 14 units

Answer:

1/2 (or) 0.50 (or) 50%

Step-by-step explanation:

10 out of 20 wedges are worth more than 10.

10/20 = 1/2 (or) 0.50 (or) 50%

Answer:

0.75

Step-by-step explanation:

Answer:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Step-by-step explanation:

There are 100 students (40+15+20+25).

20 signed up for Track and Field.

20 out of 100 would equate to 20/100, or 2/10, or:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Answer:

a

Step-by-step explanation:

the two squares are shaded and eight are not

Answer:

[tex]\boxed{10>-15}[/tex]

Step-by-step explanation:

[tex]-2<3[/tex]

Multiply each side by -5.

[tex]-2 \times -5 <3 \times -5[/tex]

Switch signs when multiplying or dividing by a negative integer.

[tex]10>-15[/tex]

Answer:

10 > -15

Step-by-step explanation:

-2 < 3

We want to multiply each side by -5 and we want to see what happens:

-2 * -5 < 3 * -5

= 10 < -15

This is a wrong inequality as 10 is ahead of -15 on the number line.

Answer:

9

Step-by-step explanation:

Speed of the train is:

And average speed is:

Comparing the two above, we see  y= 9

Answer:

D) 2.0

Step-by-step explanation:

We know that √2 = 1.414213562 ≈ 1.4, π ≈ 3.14, and √5 = 2.236067978 ≈ 2.2 . Next, I found out that √2π = 4.442882938 which rounds to 4.4. Then, I found out that 4.4 ÷ √5 equals to 1.96773982. So, if we round our answer to the nearest whole number, we will get 2.

Answer:

[tex]\boxed{Option \ D}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{2} \pi }{\sqrt{5} }[/tex]

Where [tex]\sqrt{2}[/tex] = 1.4 , π = 3.14 and [tex]\sqrt{5}[/tex] = 2.24

Plugging in the values

=> [tex]\frac{(1.4)(3.14)}{2.24}[/tex]

=> 4.396/2.24

=> 1.9

≈ 2.0

Answer:16.8 ur welcs

Step-by-step explanation:

Answer:

Step-by-step explanation:

Spinner pointing to red, blue or yellow is equally likely:

P(blue) = P(yellow) = P(red) = 1/3.

In a perfect world, the spinner would land on blue (1/3)(150) = 50 times; on red 50 times and on yellow 50 times.

If in real life the spinner lands on yellow 44 times (C) is most reasonable, as that is closest to the ideal 50 times.

A) Lands on blue 60 times - Reasonable outcome.

B) Lands on red 120 times - Not reasonable.

C) Lands on yellow 90 times - Not reasonable.

D) Lands on yellow 44 times - Reasonable.

If the spinner has three colors (red, yellow, and blue) with equal areas, and we spin it 150 times, the reasonable outcomes would be:

A) Lands on blue 60 times - Reasonable since there is an equal chance of landing on each color, and 60 is a fraction of 150 that falls within the expected range.

B) Lands on red 120 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 120 is significantly higher than this expected value.

C) Lands on yellow 90 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 90 is significantly higher than this expected value.

D) Lands on yellow 44 times - Reasonable since there is an equal chance of landing on each color, and 44 is a fraction of 150 that falls within the expected range.

Therefore, the reasonable outcomes would be A) Lands on blue 60 times and D) Lands on yellow 44 times.

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Answer:

B:-1

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

[tex] - 3 - ( - 2)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 3 + 2[/tex]

Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.

Calculate:

[tex] - 1[/tex]

Some rules:

[tex]( + ) \times ( + ) = ( + )[/tex]

[tex]( + ) \times ( - ) = ( - )[/tex]

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex]( - ) \times ( + ) = ( - )[/tex]

Hope this helps..

Answer:

A. 85

Step-by-step explanation:

SInce nickels are worth 5 cents, the number of pennies must end with an 8 or a 3 in order for the total to end with a 3 ($9.83)

Answer:

hope this helps

Step-by-step explanation:

(ab)c = (ac)b = (bc)a

Answer:

Here are a couple of examples (a+b)c or (c+b)a or (a+c)b

Step-by-step explanation:

To “associate” means to connect or join with something. According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.

Answer:

We start with y = g(x) = f(x)

First, we have a vertical stretch by a factor of 2.

A vertical strech by a factor of A will be g(x) = A*f(x)

then in this case A = 2, so we have g(x) =  2*f(x)

Now we have it shifted left by 8 units.

We know that f(x - A) shift right the graph by A units (A positive), here A = 8.

then we have: g(x) =  2*f(x - 8)

Now we want shift up 3 units, if we have y = f(x) we can shift the graph up by A units as: y = g(x) + A (for A positive)

Then we have: g(x) =  2*f(x - 8) + 3

now, our function was f(x) = Log₅(x)

then g(x) = 2*log₅(x - 8) + 3.

Answer:

g(x)=2log5(x+4)−8

Step-by-step explanation:

Step-by-step explanation: aumentado pois ele define uma certa quantidade de aumentação

Answer:

Step-by-step explanation:

let's say the price of the dress in the beginning is 100x

the on sale price decreases 80x  

80x = 74.12

100 x = 92.75

Answer:

15.62 = x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10 ^2 + 12^2 = x^2

100 +144 = x^2

244 = x^2

Take the square root of each side

sqrt(244) = sqrt(x^2)

15.62049935 = x

Rounding to the nearest hundredth

15.62 = x

Answer:

15.62

Step-by-step explanation:

We can use the Pythagorean Theorem.

10^2+12^2=c^2

100+144=c^2

244=c^2

15.62=c, or x=15.62

Answer:

-5x - 8y = -5.

Step-by-step explanation:

4x + (-9x) -4y + (-4y) = -2 + (-3)

-5x - 8y = -5.

Answer:

 -5x -8y = -5

Step-by-step explanation:

The question asks us to add the equations

  4x - 4y = -2

+ -9x -4y = -3

------------------------

 -5x -8y = -5

The correct option is A. The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is: y - 9 = 1/2(x + 3).

To find the equation of a line perpendicular to y = -2x + 8 that passes through the point (-3, 9), we need to determine the slope of the perpendicular line.

The given equation is in slope-intercept form, y = mx + b, where m represents the slope. In this case, the slope of the given line is -2.

Since the perpendicular line has a slope that is the negative reciprocal of -2, we can determine its slope as 1/2.

Now that we have the slope (1/2) and a point (-3, 9) on the line, we can use the point-slope form of a line to write the equation:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the given point and m is the slope.

Plugging in the values, we get:

y - 9 = 1/2(x - (-3))

Simplifying:

y - 9 = 1/2(x + 3)

Rearranging to match the given options:

y - 9 = 1/2(x) + 3/2

The equation in point-slope form for the line perpendicular to y = -2x + 8 and passing through (-3, 9) is:

y - 9 = 1/2(x + 3)

Therefore, the correct option is A.

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Complete question is below

Identify an equation in point-slope form for the line perpendicular to

y=-2x+ 8 that passes through (-3,9).

A. y - 9 = 1/2(x+3)

B. y+3 = 3(x-9)

C. y - 9 = (x + 2)

D. y + 9 = 1/2(x – 3)

Answer:

y-intercept of the line MN = 2

Standard form of the equation ⇒ x + y = 2

Step-by-step explanation:

Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)

Slope of a line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        = [tex]\frac{5-0}{-3-2}[/tex]

                        = -1

Equation of the line MN passing through (-3, 5) and slope = -1,

y - 5 = (-1)(x + 3)

y - 5 = -x - 3

y = -x + 2

This equation is in the y-intercept form,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, y-intercept of the line MN = 2

Equation in the standard form,

x + y = 2

the first one is : -1

the second one is: y-5 = -1 ( x + 3)

the third one is: -x + 2

the first one to the right side is: 0,2

and the second one on the right side is: x+y=2

your welcome

Answer:

A =200.96 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 8

A = pi 8^2

A = 64 pi

Letting pi = 3.14

A = 64 ( 3.14)

A =200.96 ft^2

Answer:

[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]

Step-by-step explanation:

Apply formula for the area of a circle.

[tex]area=\pi r^2[/tex]

The radius is 8 ft.

[tex]A=\pi (8)^2[/tex]

[tex]A=64\pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]A=64(3.14)[/tex]

[tex]A=200.96[/tex]

Answer:

A, B, C

Step-by-step explanation:

4 - (-5) + 0

4 - (-5) = 4 + 5 (because a negative + negative = positive)

4 + 5 = 9

a, b and c all equal 9

hopefully this helped you!! :3