Work out the equation of a line when the gradient is 1/2 and it passes through the point (4,-2)

Answer:

Garden hose water flow in gallons per minute(x:y) = 12:1

Minutes per gallon water flow(y:x) = 1:12

Step-by-step explanation:

Complete question below

A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden hose's water flow in gallons per minute and minutes per gallon.

Let

the garden hose water flow=x

Time of glow=y

x:y=36 gallons : 3 minutes

x/y=36/3

x/y=12/1

x:y=12:1

Therefore, garden hose water flow in gallons per minute is given by

x:y = 12:1

Minutes per gallon water flow

y:x=3:36

y/x=3/36

y/x = 1/12

y:x = 1:12

Therefore, minutes per gallon water flow is given by

y:x = 1:12

Table of equivalent ratio for x:y

36:3

24:2

12:1

Table of equivalent ratio for y:x

3:36

2:24

1:12

Answer:

Graph  1, 4, 6 are functions.

Graph  2, 3, 5 are not functions.

Step-by-step explanation:

If graph of a relation pass the vertical line test, then we can say the relation is a function.

In vertical line test, we draw a vertical line parallel to axis, if graph of relation intersect the line almost once, then we say in is a function.

To check, whether the given relation is function or not, draw verticals lines on each graph as shown below.

In graph 1, open circle means the value x=-1 is not include it that.

From the below figure it is clear that:

Graph  1, 4, 6 pass the vertical line test, so they represent functions.

Graph  2, 3, 5 does not pass the vertical line test, so they are not functions.

Answer:

B. 67°

Step-by-step explanation:

Step 1: Find m∠B

180 - (48 + 19) = 113°

Step 2: Use Supplementary Angles rules

180 - 113 = 67°

Answer:

m<ABD is 113 degrees

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees.

Representing angle ABD by x, we have:

x + 48 degrees + 19 degrees => x + 67 degrees = 180 degrees.

Subtracting 67 degrees from boths sides, we get x = 113 degrees.

m<ABD is 113 degrees.

Answer:

False

Step-by-step explanation:

Well to solve for z we single it out, distribute, use the communicative property, and combine like terms.

42 = -7(z - 3)42 = -7(z - 3)

Distribute

42 = -7z + 21*42 = -7z + 21

42 = -7z + 882 = -7z + 21

-42 to both sides

-7z + 840 = -7z + 21

-21 to both sides

-7z + 819 = -7z

+7z to both sides

819 = 0

Thus,

the given equation is false.

I hope this helps :)

Answer:

x = 11

Step-by-step explanation:

As it is stated the the both the triangle ABC and DEC are congruent, it means that all the angles forms in these triangles are also congruent. We can states that

<A = <D

<C = <C

<B = <E

As both angles B and E are equal to each other, we can equate them

<B = <E

Where <B = 2x+31 and <E= 7x-24, substitute both values in above expression:

2x + 31 = 7x - 24

Solve for x:

7x - 2x = 31 +24

5x = 55

x = 11

Answer:

11

Step-by-step explanation:

Answer:

slope 3, y intercept 4

Step-by-step explanation:

The y intercept is where it crosses the y axis

It crosses at y=4

The slope is positive since it goes from bottom left to top right

The slope is  up 3 over 1 so it is 3/1 = 3

Answer:

x=1

Step-by-step explanation:

3x+3=5+x

3x-x+3=5

2x=2

x=1

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 1

▹ Step-by-Step Explanation

3(x + 1) = 5 + x

Distribute

3x + 3 = 5 + x

Move the variable to the left and change the sign

3x - x + 3 = 5

Collect like terms

2x = 5 - 3

Calculate

2x = 2

Final Answer

x = 1

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer: 4m + 3

Step-by-step explanation:

4m references the 4 bags of marbles and the m marbles in each bag.  + 3 references the extra 3 marbles.

Answer:

A) x+y=10 & 2x+3y=24

B) x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

Step-by-step explanation:

A) x+y=10

2x+3y=24

B) make x+y=10 into y=10-x

Substitute 10-x in for y into the 2nd equation.

2x+3(10-x)=24

2x+30-3x=24

-1x=24-30

-1x=-6

x=6

C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)

finding domain:

to find the domain, we are finding all of the x values.

example:

say we have the points: (2,5) (4,8) (1,7) (8,10) (13,2)

the domain would be a list of all of the x values of all of the coordinate points. therefore the domain would be:

domain:

{1,2,4,8,13}

conclusion:

since you have not attached the function or a graph, you will have to find the domain on your own (unless you attach one now). hope this helps!

Answer:

3/16 miles/minute

Step-by-step explanation:

A rate of change describes how an output quantity changes relative to the change in the input quantity.

Points given:

Input        Output

 2            1/6

 3          17/48

 4          13/24

 5          35/48

 6          11/12

Here input values describe the time in minutes from 2 to 6 and output values describe the distance in miles from 1/6 to 11/12

Calculating the rate of change using the first two pairs of input-output values

Relative change = change in distance/change in time

(17/48 - 1/6)/(3-2) = (17/48 - 8/48) /1 = 9/48 = 3/16 miles/minute

We will get the same result if we take any other ordered pair of input and output values.

So D is your answer! Hope this helped!

Rate of change is the change in a particular variable, over another variable.

The rate of change is: 3/16 miles per minutes

To calculate the rate of change, we select any two points on the table (see attachment)

[tex](x_1,y_1) = (2,\frac 16)[/tex]

[tex](x_2,y_2) = (3,\frac{17}{48})[/tex]

The rate of change (m) is calculated as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{3-2}[/tex]

[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{1}[/tex]

[tex]m = \frac{17}{48} - \frac{1}{6}[/tex]

Take LCM

[tex]m = \frac{17- 8}{48}[/tex]

[tex]m = \frac{9}{48}[/tex]

Reduce fraction

[tex]m = \frac{3}{16}[/tex]

Hence, the rate of change is: 3/16 miles per minutes

Read more about rates of change at:

https://brainly.com/question/13103052

Answer:

-7 , -9 and -10

Step-by-step explanation:

The main temperature is -5°C.

-5 is a negative number so a colder temperature will be a number that is less than -5

substracting this number from -5 will give us a positive number

This question is incomplete

Find attached to this answer the appropriate diagram required to answer the question.

This diagram was obtained online.

Answer:

63°

Step-by-step explanation:

We are told in the above question that for parallelogram ABCD, ∠ABD=83° and ∠BDA=34°.

To get the above angles, parallelogram ABCD was split into two triangles by a diagonal given us ∆ABD and ∆BCD

Remember that angles in a triangle = 180°

∆ABD has ∠ABD=83°, ∠BDA=34° and ∠DAB

180° = ∠ABD + ∠BDA+ ∠DAB

180° = 83° + 34° + ∠DAB

∠DAB = 180°-117°

=63°

Since ∆ABD and ∆BCD are similar triangles because they are from one parallelogram,

∠DAB = ∠BCD

= 63°

Therefore, the measure of the angle BCD is 63°.

Answer:

The answer is 63

Step-by-step explanation:

correct for plato

83+34+63=180

Answer:

Third Choice:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Step-by-step explanation:

One line has

[tex] x + \dfrac{b}{2a} = \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]

The next line's reason is that b/2a was subtracted from both sides.

The missing line is:

[tex] x = -\dfrac{b}{2a} \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]

Then it simplifies to

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Answer:

g (x-2) = x

Step-by-step explanation:

Set up the composite result function g (f(x))

Then Evaluate g (f(x)) by substituting in the value of F into G: g (x-2) = (x-2) + 2

finally Combine the opposite terms in (x-2) + 2: add -2 and 2: g(x-2) = x+0: add x and 0: g(x-2) = x

Answer:

the answer is x = 14 because 9-2=7 ×2 = 14

Answer:

6

Step-by-step explanation:

I = Person

April I May I I I I I

I April I May I I I I

I I April I May I I I

I I I April I May I I

I I I I April I May I

I I I I I April I May

Each situation will always have 1 person between them and there will always be 8 people.

Answer:

B) 122

Step-by-step explanation:

This is because x will equal 180 - 58

Answer:122

Step-by-step explanation:

Answer:

Assuming its a right triangle the distance is 85 ft.

Step-by-step explanation:

Answer:

[tex]= 452.38 {cm}^{2} \\ \\ [/tex]

Step-by-step explanation:

[tex]area = 4\pi {r}^{2} \\ = 4 \times \pi \times 6 \times 6 \\ = 452.38 {cm}^{2}

[/tex]

Step-by-step explanation:

given,

radius = 6cm

area =4× pi ×r^2

so, area=4×22/7×6^2

therefore the area of sphere is 452.5714cm^2.

hope its what you are searching for..

Answer:

A and B

Step-by-step explanation:

For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.

For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.

For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.

For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.

The total amount Annie earned last week 18x+25.

Annie  earns $18 per hour. and she worked x hours .

So, total work = 18 * x = 18x

but she earned some extra cash = 25$

now Annie's total amount with extra cash = 18x + 25

Therefore, The total amount Annie earned last week 18x+25.

Learn more about work brainly.com/question/8958704

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Answer:

1.) x^2 + 3x

2.) 3x^2 - 3x

3.) 278

Step-by-step explanation:

You are given the following functions:

f(x) = x + 5

g(x) = x2 + 4x + 5

h(x) = 3x2 - 2x + 5

1.) To match the function with its value,

(f+g)(x) = f(x) + g(x)

Substitutes for the two functions

X + 5 = x^2 + 4x + 5

Collect the like terms and equate them to zero

X^2 + 4x - x + 5 - 5

X^2 + 3x

Therefore, (f+g) (x) = x^2 + 3x

2.) (f*h)(x) = f(x) × h(x)

x + 5 = 3x^2 - 2x + 5

Collect the like terms

3x^2 - 2x - x + 5 - 5

3x^2 - 3x

Therefore, (f×h)(x) = 3x^2 - 3x

3.) h[f(5)] -g[h(1)]

First find f(5)

That is, substitute x for 5 in f(x)

f(5) = 5 + 5 = 10

Also, do the same for h(1)

h(1) = 3(1)^2 - 2(1) + 5

h(1) = 3 - 2 + 5 = 6

h[f(5)] - g[h(1)]

= 3(10)^2 - 2(10) + 5 - (6)^2 + 4(6) + 5

= 300 - 20 + 5 - 36 + 24 + 5

= 334 - 56

= 278

Therefore, h[f(5)] - g[h(1)] = 278

9514 1404 393

Answer:

  a) 7:24 pm

  b) later than 7:24 pm

Step-by-step explanation:

The relationship between time, speed, and distance can be written as ...

  time = distance/speed

So, Faris's travel time to London is predicted to be ...

  time = (195 mi)/(50 mi/h) = 3.9 h = 3:54 hours

__

a) Faris's expected arrival time at a speed of 50 mph is ...

  3:30 pm +3:54 = 6:84 pm = 7:24 pm

__

b) Time is inversely proportional to speed, so a lower speed will result in a longer time.

Faris's arrival time will be later than 7:24 pm.

Answer:

210 combinations

Step-by-step explanation:

The total number of candidates given = n = 10

The number of candidates to be chosen = r = 4

As in this, the sequence of the chosen candidates doesn't matter, we can use Combination to find the solution.

C(n,r) = n! / (n-r)! (r)!

where n = 10 and r = 4

C(10,4) = 10! / (10-4)! (4)!

C(10,4) = 10! / 6! 4!

C(10,4) = (10·9·8·7·6·5·4·3·2·1) / (6·5·4·3·2·1)(4·3·2·1)

C(10,4) = (10·9·8·7) / ((4·3·2·1))

C(10,4) = 210 combinations

Answer:

D) 9,202.8

Step-by-step explanation:

The volume of a cone is [tex]\frac{\pi *r^{2} *h}{3}[/tex] so when you substitute the values you get the answer

Answer: A

Step-by-step explanation:

Answer:

To find the perimeter of a shape we need to add its side lengths. Therefore the answer is 22.5 + 8 + 16 + 8 = 54.5 ft.

Answer:

To make it simple, when finding the domain all you have to do is look for the x within the points.

Looking at the first set you can tell that the domain is -3, 0, 4, and 11

The y or the f(x) would be 6, 2, 7, and 15

(Just saying y and f(x) are the same thing.)

For the next set the domain is 6, 2, 7, and 15

For the f(x) it is -3, 0, 4, and 11

Remeber x and Domain is the same thing so all you have to do is look for the x within the points of the plot, as for looking for the range, it is the same thing as y or f(x).

God Bless

Hope that this helps!!!!!!!!!!!!!!

Answer:

D, -3,0,4,11

Step-by-step explanation:

Answer:

24 unit

Step-by-step explanation:

This question can be solved using concept of basic proportionality theorem,

according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.

Example:

let there be a triangle ABC

if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then

AD/DB = AE/EC (basic proportionality theorem)

_____________________________________

Similarly in this problem

15/5 = ?/8

3= ?/8

? = 8*3 = 24

Thus. missing segment value is 24 unit.

Answer:

  no such triangle

Step-by-step explanation:

The angle 121.50° is necessarily the largest angle in the triangle. It must be opposite the longest side. Here, it is given as opposite the shorter of the given sides. No such triangle is possible.