who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?

Answers

Answer 1

Answer:

I believe Descartes

Step-by-step explanation:

René Descartes was  one of the key figures in the Scientific Revolution of the 17th Century.  

Who Was Often Called The Father Of Modern Mathematics Because He Created Analytic Geometry And The Cartesian

Related Questions

Korena is paid $40 it weed the garden 5 times. At this rate, how many times must she weed the garden to earn $100?

Answers

What we know:

Korena is paid $40 every five times she does the job

What we need to figure out:

How many times does she have to do it to earn $100

Math:

First I'm going to figure out how much she makes each time she weeds

Money earned ÷ Amount of times

40 ÷ 5

= 8

In order to determine the rest of the time we are going to multiply everything we know by 2

Korena is paid $80 if she does it 10 times

We clearly aren't going to do that again because that will surpass the amount so now we are going to use the unit rate we figured out;

($8 per time)

Korena is paid $88 if she does it 11 times

Korena is paid $96 if she does it 12 times

Korena is paid $104 if she does it 13 times

Statement

Therefore if Korena weeds the garden 13 times she will make $104 surpassing the $100 needed.

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

Answers

Answer:y=

1

2

x4+

7

2

x3+

9

2

x2+

−27

2

x−27

Step-by-step explanation:


Here is the equation of a circle: x2 + y2 + 12x + 2y + 12 = 0
Find the center and radius of the circle.

Answers

Answer:

centre = (- 6, - 1 ) , radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given

x² + y² + 12x + 2y + 12= 0

Collect the x- terms and the y- terms together and subtract 12 from both sides

x² + 12x + y² + 2y = - 12

Using the method of completing the square

add ( half the coefficient of the x / y coefficients )² to both sides

x² + 2(6)x + 36 + y² + 2(1)y + 1 = - 12 + 36 + 1

(x + 6)² + (y + 1)² = 25 ← in standard form

with (h, k ) = - 6, - 1 ) as centre and r = [tex]\sqrt{25}[/tex] = 5

3x - 2 < 4

what is the solution for the inequality

Answers

Answer:

x<2

Step-by-step explanation:

Another company will lend Maya’s older sister $4,000. Every month, she will pay $11.88 in interest. What is the interest rate, rounded to the nearest tenth of a percent, for 1 year.

Answers

Answer:

120

Step-by-step explanation:

$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year so 10 x 12 = 120

11.88 multiplied by 12 is 142.56, 142.56 rounded to the nearest tenth is 142.60.

i need help on this asap

Answers

Answer:

c

Step-by-step explanation:

What is the simplified form of the following expression? 5 StartRoot 8 EndRoot minus StartRoot 18 EndRoot minus 2 StartRoot 2 EndRoot 2 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot 9 StartRoot 2 EndRoot 15 StartRoot 2 EndRoot.

Answers

The simplified form of the given expression is [tex]5\sqrt{2}[/tex].

Given expression,

[tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}[/tex].

We have to simplify the above expression.

So, [tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\\[/tex]

First solve for the square root,

[tex]5\sqrt{2\times2\times2} -\sqrt{3\times3\times2} -2\sqrt{2} \\\\10\sqrt{2} -3\sqrt{2}-2\sqrt{2} \\[/tex]

[tex]7\sqrt{2} -2\sqrt{2}[/tex]

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

Hence the simplified form of the given expression is [tex]5\sqrt{2}[/tex].

For more details follow the link:

https://brainly.com/question/2719671

Where did this student make the mistake when solving this inequality?

2x + 4 > 5x - 5

-2x -2x

4 < 3x - 5

+5 +5

9 < 3x

/3 /3 (divide by 3)

3 < x

options:

When subtracting the same value from both sides you don't need to switch the inequality sign


There is no mistake, it was solved correctly


You don't subtract 2x from each side, you add 2x to each side


When dividing by 3 you should switch the inequality sign

Answers

Answer:

You don't subtract 2x from each side, you add 2x to each side

A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?

Answers

Answer:

  $24,000

Step-by-step explanation:

The difference for principal amount P is ...

  (8% × P) - (7 3/4% × P) = $60

  0.0025P = $60

  P = $24,000 . . . . . multiply by 400

His principal was $24,000.

f(x) = 3/4 * x - 7 . Find x if f(x) = - 1 . PLEASE tell how to solve it bc that what i dont know, i dont want just the answer​

Answers

Answer:

[tex]x=-8[/tex] if [tex]f(x)=-1[/tex]

Step-by-step explanation:

Given --> [tex]f(x)=-\frac{3}{4}x-7[/tex]

Substitute [tex]f(x)=-1[/tex] into the equation and solve for [tex]x[/tex]:

[tex]-1=-\frac{3}{4}x-7[/tex]

[tex]6=-\frac{3}{4}x[/tex]

[tex]24=-3x[/tex]

[tex]-8=x[/tex]

So, when [tex]f(x)=-1,x=-8[/tex]

Write the equation of the line that is perpendicular to y=3x-6 and passes through the point
x, y
(2,0)

Perpendicular is the negative reciprocal so the slope is -1/3

Need to know b and the full equation

With work please. Thank you!

Answers

Answer:

y=-1/3x+2/3 (please mark brainliest)

Step-by-step explanation:

start with y=3x+6

you can get the slope of the perpendicular line by dividing the slope by -1,

so the slope of the new line is -1/3.

using the point and the slope of the new line, we can put it into point-slope form:

y-y₁=m(x-x₁)

y-0=-1/3(x-2)

simplify:

y=-1/3x+2/3

this is the final equation in the form y=mx+b

Can system of equations be linear and nonlinear

Answers

Systems of equations are linear

I need some help :(
A)4
B)2.9
C)3.8

Answers

Answer: C

Step-by-step explanation:

There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the box. Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.​

Answers

The probability that one of each color is selected is [tex]\frac{10x - x^2}{45}[/tex]

Probabilities

The probability of an event is the chances of the said event

The given parameters are:

Total  = 10Red = xBlue = 10 - x

Calculating the required probability

The probability that one of each color is selected is calculated as follows:

[tex]P = P(Blue) \times P(Red) + P(Red) \times P(Blue)[/tex]

So, we have:

[tex]P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}[/tex]

This gives

[tex]P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}[/tex]

Take LCM

[tex]P = \frac{2x(10 - x)}{90}[/tex]

Simplify the above expression

[tex]P = \frac{x(10 - x)}{45}[/tex]

Expand

[tex]P = \frac{10x - x^2}{45}[/tex]

Hence, the probability that one of each color is selected is [tex]P = \frac{10x - x^2}{45}[/tex]

Read more about probabilities at:

https://brainly.com/question/7965468

How long does it take for sunlight to reach earth? Show Work!

Answers

Answer: 8.3 minutes

Step-by-step explanation:

The time t may be obtained using the speed distance equation s=d/t. Rearranged to solve for time it would be: t=s/v, where s is the distance between the Sun and Earth and v is the speed of light.

Answer: The Sun is 93 million miles away, so sunlight takes 8 and 1/3 minutes to get to us.


Light from the Sun takes about 5 and 1/2 hours to reach it and roughly the same time to return to Earth. By the time the light reaches us, it has spread out so much that the planet looks very dim, and requires a good telescope to spot. Photo of Pluto and its moon Charon, as seen with the Hubble Space Telescope in 1994.

Sunlight travels at the speed of light. Photons emitted from the surface of the Sun need to travel across the vacuum of space to reach our eyes. The short answer is that it takes sunlight an average of 8 minutes and 20 seconds to travel from the Sun to the Earth

Picture:

Find the inverse function. f(x) = Vx - 1+4​

Answers

Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) =  (x - 4)³ + 1.

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]

y =  [tex]\sqrt[3]{x-1} + 4[/tex]

Calculate the inverse of the function as shown below,

Replace x with y,

x = [tex]\sqrt[3]{y-1} + 4[/tex]

x - 4 = [tex]\sqrt[3]{y- 1}[/tex]

Cube both sides,

(x - 4)³ = y - 1

y = (x - 4)³ + 1

Thus, f⁻¹(x) =  (x - 4)³ + 1

To know more about function:

https://brainly.com/question/5975436

#SPJ2

Simplify this question

Answers

[tex]\\ \sf\longmapsto √64+√-81-i^2[/tex]

[tex]\\ \sf\longmapsto 8+√81i-(-1)[/tex]

[tex]\\ \sf\longmapsto 8+9i+1[/tex]

[tex]\\ \sf\longmapsto 9i+9[/tex]

answer this pleaseeeee

Answers

Answer:

Each goat gets 3 carrots and there are 4 extra carrots left

Step-by-step explanation:

5*3=15

OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.

5*3.8=19

Answer:

the answer is simple 3 remainder of 4

Step-by-step explanation:

so he had 5 goats and 19 carrots  

19/5=3.8 which mean 3 and 4  left

Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 68 km/h faster than the other. If the two planes are 5052 kilometers apart after 3 hours, what is the rate of each plane?

Answers

Step-by-step explanation:

the slower plane travels x km in 3 hours.

the faster plane travels x + 3×68 = x + 204 km in 3 hours.

x + x + 204 = 5052 km

2x = 4848 km

x = 2424 km (in 3 hours).

so, the slower plane's speed is 808 km/h.

the faster plane's speed is 808 + 68 = 876 km/h.

DONT ASNWER IF YOU DON"T KNOW THE ANSWER
Are the two triangles similar? Why or why not?

Answers

yes because they are congruent just dilated in size

Simplify the variable expression below as much as possible.
X + 8 .z
Answer here

Answers

Answer:

It will stay at x + 8

Step-by-step explanation:

24 feet/second to inches/minute

Answers

Answer:

4.8 inches a minute is probably the answer

Answer:

4.8 inches a minute

Step-by-step explanation:

Can someone plz help me? :(

Answers

the answer to your question is B.) 12x

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2

Answers

Answer:

The slope is 2/4 or 1/2

Step-by-step explanation:

answer in standard form PLEASE.

Answers


0.9 x 10^4

Let’s break this down into steps.

So to start off with, you need to do 4.5/5 which = 0.9.

Now we can deal with the indices. 10^-3 / 10^-7 means we have to subtract them. Therefore, -3 - -7 = 4. Altogether, we have 0.9 x 10^4

The question states we should leave our answer in standard form.

So our answer is 0.9 x 10^4.

PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM ​

Answers

Answer:

3/5y

Step-by-step explanation:

6y/35 ÷10y^2/7

to solve this you do reciprocal of 10y^2/7

then;

6y/35 x 7/10y^2

solving this

3/5y

This is the right answer step by step…if you are good at maths y’ll understand it

A pole 12 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Moussa measures the distance from the pole to the stake and from the pole to the tower. Find the length of the guy wire, to the nearest foot.

Answers

Answer: The answer is 189 ft.

What is the gradient of the graph shown?

Give your answer in its simplest form.

Answers

Answer:

2

Step-by-step explanation:

Choose 2 points on the graph: (0, -2) and (1, 0)

[tex]\boxed{ gradient = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Gradient of graph

[tex] = \frac{0 - ( - 2)}{ 1 - 0} [/tex]

[tex] = \frac{0 + 2}{1} [/tex]

= 2

Answer:hope it helps!

Step-by-step explanation:

cannot be bothered

Hi! Kindly give me the formula for finding the percentage of profit.


Profit and selling price are given. Thank you in advance!​

Answers

When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.

Step-by-step explanation:

Given:

Profit P and selling price Sp

Find cost price Cp first:

Cp = Sp - P

To find the percentage profit divide the profit by the cost price and multiply by 100%:

P% = P/(Sp - P)*100%

please help me asap!!!


ty :)

Answers

Answer:

the desired line is y = 3x - 4

Step-by-step explanation:

The slope formula is not needed here.  If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.

Find the y-intercept as follows:

y = mx + b => 5 = 3(3) + b, or b = -4

Then the desired line is y = 3x - 4

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