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3 years ago

Solve y - 3x = 13 for y y = ?

Mathematics

1 answer:

vampirchik [111]3 years ago

3 0

Answer:

y = 3x + 13

Step-by-step explanation:

Here, we want to solve for y

To solve for y, we simply are going to make y the subject of the formula

We have this as;

y - 3x = 13

y = 13 + 3x

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-5+22=r-4+3r+5<br> I need help please and thank u

Brilliant_brown [7]

Answer:

r = 4

General Formulas and Concepts:

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-5 + 22 = r - 4 + 3r + 5

<u>Step 2: Solve for </u><em><u>r</u></em>

Combine like terms: 17 = 4r + 1
Subtract 1 on both sides: 16 = 4r
Divide 4 on both sides: 4 = r
Rewrite: r = 4

<u>Step 3: Check</u>

<em>Plug in r to verify it's a solution.</em>

Substitute: -5 + 22 = 4 - 4 + 3(4) + 5
Add/Subtract: 17 = 3(4) + 5
Multiply: 17 = 12 + 5
Add: 17 = 17

6 0

3 years ago

The average number of traffic tickets issued in a city on any given day

Anton [14]

Answer:

The most tickets were written on Saturday .On Saturday 325 tickets were issued

Step-by-step explanation:

The average number of traffic tickets issued in a city on any given day Sunday-Saturday can be approximated by

$T(x) = -6x^2 + 84x + 37$

Where x represents the number of days after Sunday

T(x) represents the number of traffic tickets issued.

Sunday = x=0

Monday = x=1

Tuesday = x=2

Wednesday = x=3

Thursday = x =4

Friday = x=5

Saturday = x=6

Substitute x= 0

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(0)^2 + 84(0) + 37\\T(x)=37$

On Sunday 37 tickets were issued

Substitute x= 1

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(1)^2 + 84(1) + 37\\T(x)=115$

On Monday 115 tickets were issued

Substitute x= 2

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(2)^2 + 84(2) + 37\\T(x)=181$

On Tuesday 181 tickets were issued

Substitute x= 3

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(3)^2 + 84(3) + 37\\T(x)=235$

On Wednesday 235 tickets were issued

Substitute x= 4

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(4)^2 + 84(4) + 37\\T(x)=277$

On Thursday 277 tickets were issued

Substitute x= 5

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(5)^2 + 84(5) + 37\\T(x)=307$

On Friday 307 tickets were issued

Substitute x= 6

$T(x) = -6x^2 + 84x + 37\\T(x) = -6(6)^2 + 84(6) + 37\\T(x)=325$

On Saturday 325 tickets were issued

Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued

6 0

3 years ago

I need help finding functions

velikii [3]

Answer:

y= 7
y= -3
y= -4
y= -8

Step-by-step explanation:

y= -5x+1

=-5.-1+1

Now you can do this method

3 0

3 years ago

HELP FAST I WILL MARK AS BRAINLIEST.

vodka [1.7K]

Answer:

s = 1/3(a + b + c + 16)

Step-by-step explanation:

<h3>Given</h3>

If (s -a) = 5cm, (s -b) = 10cm, (s -c) = 1cm
s = ?

<h3>Solution</h3>

<u>Add up the 3 equations and solve for s:</u>

s - a + s - b + s - c = 5 + 10 + 1
3s = 16 + a + b + c
s = 1/3(a + b + c + 16)

7 0

3 years ago

ABCEDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is . It will take incre

Mrrafil [7]

Answer:

45 or multiples of 45 around the centre of octagon

Step-by-step explanation:

Given that ABCDEFGH is a regular octagon. i.e. it has 8 sides.

Since regular ocagon, all interior angles would be equal.

Sum of all interior angles of octagon = 2(8)-4 right angles

= 12 right angles

Hence each angle = 12(90)/8 = 135 degrees

Thus the octagon when rotated will take the same shape if vertices interchange also due to the property that all sides and angles are equal

Since each angle is 135 imagine an octagon with one vertex at origin O, and adjacent vertex B on x axis. OB has to be coincident with BC the next side or the previous side to get it mapped onto itself

The centre will be at the middle with each side subtending an angle of 45 degrees.

Hence if rotation is done around the centre with 45 degrees we will get octagon mapped onto itself.

45, 90, 135 thus multiples of 45

8 0

3 years ago