john and peter started jogging from the same place at the same time, but in opposite directions along a straight road. After jogging for 3 hours, they were 27 km apart. If john's average speed was 6 km/h, what is peters speed?

Since [tex] \frac{dy}{dx}=-3-4x[/tex], putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.

Thus $\frac{dy}{dx}=-3$

Answer:

Since , putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.

Thus $\frac{dy}{dx}=-3$

Step-by-step explanation:

Answer: The number of different ways (orders) she can add these fruits to her blender = 24

Step-by-step explanation:

Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.

i.e. Total fruits = 4

The number of ways to order n things = n!

Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!

= 4 x 3 x 2 x 1

= 24

Hence, the number of different ways (orders) she can add these fruits to her blender = 24

Answer:

the correct answere is actully 120 ways.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

A and B are the legs of the triangle, and c is the hypotenuse. A would make the most sense.

The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.

" In a right angled triangle the square of the hypotenuse is equals to the sum of the square of the other two sides of the right angled triangle."

According to the question,

As per the Pythagoras theorem ,

(Hypotenuse)² = (Adjacent side)² + ( opposite side)²

Hence, we conclude that Option A is correct.

Learn more about Pythagoras theorem here

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#SPJ2

Answer: ? = 264

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 18(x)

Replacing and solving for y (number of cookies)

y = 120 + 18(8)

y = 120+144 = 264  cookies

The missing value in the table is⇒ ? = 264

Feel free to ask for more if needed or if you did not understand something.

Answer:

answer is 264

Step-by-step explanation:

Answer:

P ( not win) =  (m-l) / m

Step-by-step explanation:

If there are m tickets and l are winners

m-l are not winners

P( not winning) = non winners/ total

                              (m-l) / m

Answer:

Step-by-step explanation:

P ( not win) =  (m-l) / m

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

(z - 5)3

Step-by-step explanation:

Since we are following the directions strictly, we must subtract 5 from z first.

z - 5

Then we multiply the ENTIRE thing by 3

3(z - 5)

Answer:

(z-5)3 or (z-5)*3

Step-by-step explanation:

Use Pedmas. I am sorry I am not good a explaining but that is the answer.

Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

Answer:

C. 60°

Step-by-step explanation:

Add the two given angles and subtract from 180°

Answer:

C.  60

Step-by-step explanation:

The total degrees in a triangle is 180.  Add up the given angles measures and subtract from 180 to find x.

52 + 68 + x = 180

120 + x = 180

x = 60

Answer:

2205/17576

Step-by-step explanation:

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

Return the card

26 cards

5 vowels , 21 consonants

P ( vowel) = vowel/total= 5/26

Return the card

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26

2205/17576

Answer:

a shaded region below a dashed boundary line

Step-by-step explanation:

this inequality uses the "less than" symbol (<), so we will use a dashed line because we are not including the values on the line

plug in (0,0) to see if we are shading above or below the line

0 < -1/2(0) + 5

0 < 5

this is true, so we will shade in the side that the point (0,0) is located, which is below the line (we know this because the inequality has a y intercept of 5)

Answer:

x + y + z = 40

2x + 3y + 3z = 110

x + y + 2z = 50

Step-by-step explanation:

let

x = photograph

y = painting

z = neckless

the first part reads that jada sells 1 photograph, 1 painting, and 1 neckless. this written in a mathematical formula will be x + y + z = 40

the second part reads that jada sold 2 photographs, 3 paintings, 3 necklaces. This written as a mathematical formula will be 2x + 3y + 3z = 110

the third part reads that jada sold 1 photograph, 1 painting, and 2 necklaces. this written in a mathematical formulawill be x + y + 2z = 50

Answer:

B

Step-by-step explanation:

Use FOIL method

3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)

Simplify to get 15 x^{2} -6x+15x-6  

Combine like terms to get 15x^2+9x-6

quadratic funcntion

quadratic term: 15x^2  

linear term: 9x

constant: -6

(sorry this was late I had other work and I didn't see this until now)

please mark me brainliest!

Answer:

18 : 3

Step-by-step explanation:

Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.

[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce

[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions

[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication

[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3

_____

So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.

Hope that helps!

Answer:

[tex]-4m^5n[/tex]

Step-by-step explanation:

∛-64 = -4

[tex]\sqrt[3]{m^{15}} =m^5[/tex]

∛n³ = n

Answer:

-4m⁵n

Step-by-step explanation:

(see attached)

Answer:

Here it is given that f(x)=3x and g(x)=1/x

We have to find the domain of (g o f)(x)

Now it is given that f(x) = 3x

and it is also given that g(x) = 1/x

so (g o f)(x) = g( f(x) ) = g( 3x )

which comes out to be 1 / 3x

The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

The domain of a function is the set of input values the function can take.

The domain of the function is (b).all real numbers except x = 0

The functions are given as:

[tex]\mathbf{f(x) = 3x}[/tex]

[tex]\mathbf{g(x) = \frac 1x}[/tex]

Calculate (gºf)(x) as follows:

[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]

So, we have:

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]

Substitute 3x for f(x)

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]

For the above function to have a real value, the value of  x must not be 0.

Hence, the domain of the function is (b).

Read more about domains at:

https://brainly.com/question/14494061

Answer:

Option C.

Step-by-step explanation:

Note: x is missing in the second equation.

The given equations are

[tex]4x-7y=-12[/tex]

[tex]-2x+6y=11[/tex]

It can we written as

[tex]\left[\left.\begin{matrix}4 & -7\\ -2 & 6\end{matrix}\right|\begin{matrix}-12\\ 11\end{matrix}\right][/tex]

Divide row 1 be 4.

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ -2 & 6\end{matrix}\right|\begin{matrix}-3\\ 11\end{matrix}\right][/tex]

Applying [tex]R_2\to R_2+2R_1[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & \dfrac{5}{2}\end{matrix}\right|\begin{matrix}-3\\ 5\end{matrix}\right][/tex]

Applying [tex]R_2\to \dfrac{2}{5}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & 1\end{matrix}\right|\begin{matrix}-3\\ 2\end{matrix}\right][/tex]

Applying [tex]R_1\to R_1+\dfrac{7}{4}R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1 & 0\\ 0 & 1\end{matrix}\right|\begin{matrix}\dfrac{1}{2}\\ 2\end{matrix}\right][/tex]

Since [tex]x=\dfrac{1}{2}\text{ and }y=2[/tex], therefore required ordered pair is [tex](\dfrac{1}{2},2)[/tex].

Hence, option C is correct.

Answer:

35 (b)

Step-by-step explanation:

Area of a triangle = (height times base)/2

Height = 5

Base = 14

14 times 5 = 70

70/2 = 35

Answer:

it was b ) 35 units

Step-by-step explanation:

cuz 5*14 you got 70

then when is a triangle you have to do 70 divide by half

so you will got you answer which is b)35 units

hope it helps

Answer:

Step-by-step explanation:

download math photo it will give you free answers

Answer:

The standard form of this slope-intercept form is x + 4y = 16.

Answer:

x + 4y =16

Step-by-step explanation:

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

Multiply by 4

[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]

4y = -x + 16

x + 4y =16

Answer:

[tex]y=-6[/tex].

Step-by-step explanation:

If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .

In the given question, it is clear that the horizontal line passing through the point (4,-6).

Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].

Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is

[tex]y=-6[/tex]

Hence, the equation of horizontal line is [tex]y=-6[/tex].

Answer: Y = 3 × 2^x

Step-by-step explanation:

Let assume that the equation of the exponential function represented by the table is

Y = 3(2)^x

When x = 0

Substitute x for 0. Then,

Y = 3 × 2^0

Anything raised to power of zero is equal to one.

Y = 3 × 1 = 3

When x = 1

Repeat the process

Y = 3(2)^1

Y = 3 × 2 = 6

When x = 2

Y = 3(2)^2

Y = 3 × 4 = 12

And finally, when x = 3

Y = 3(2)^x

Substitute x for 3

Y = 3 × 2^3

Y = 3 × 8

Y = 24.

We can therefore conclude that the equation of the exponential function represented by the table above is

Y = 3 × 2^x

Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Answer:

(0, - 2)

Step-by-step explanation:

The y-intercept of the rational function is (0, −2).

Answer:

x ≥ $17, 500

Step-by-step explanation:

To find the cost of the next year model, we will follow the steps below;

Let x be the value of next year's model

$14000 ≤ 80% of  x

80% of  x ≥  $14000

80% × x ≥$14000

80x/100    ≥  $14000

multiply both-side of the equation by 100

80x ≥  $1400000

Divide both-side of the inequality by 80

80x /80 ≥ $1400000 / 80

x ≥ $17, 500

Therefore the cost of next year's model is

x≥$17, 500

Answer:

f(x)=5x^2-4x+5

Step-by-step explanation:

A quadratic function always has a squared symbol (represented by ^2). The first answer is a linear function, the second answer is a linear function (squaring 0 results in 0, therefore it is canceled out), the third answer has ^2 (this is correct), and the fourth answer has a ^3 (this is a cube function; not quadratic)

Answer:

It is indeed C. f(x) = 5x2 – 4x + 5

Step-by-step explanation:

If this Question is on Edg, then it is C!

Answer:

Yes, he has enough money.

Step-by-step explanation:

I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.

Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.

13/0.75 = 18.67 = 18 weeks

Take the number of weeks times the number of calories per week

18 x 600 = 10800

Take this number divided by 200 calories per hour to find the total number of hours.

10800/200 = 54 hours

Take this number times the amount of money per hour.

54 x 6 = 324     This number is less than 360

Answer:

[tex]b^y=M[/tex]

Step-by-step explanation:

By definition of logarithms:

[tex]b^y=M[/tex]

Answer:

[tex]b^y=M[/tex]

Step-by-step explanation:

Recall the definition of logarithms: [tex]log_{b}M=y[/tex], where [tex]b^y=M[/tex].

The answer would be [tex]b^y=M[/tex].

For some examples, consider:

[tex]log_{2}8=y[/tex]. In other words: (b=2 and M=8), [tex]2^y=8[/tex]. Thus, [tex]y=3[/tex]. So:

[tex]log_{2}8=3[/tex]; [tex]2^3=8[/tex]

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y=-1/2x + 1/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -1/2 and the y intercept is 1/4

Answer:

B. y = 3x

Step-by-step explanation:

Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.