Which of the following are written in point-slope
form?
a) y = 4x + 6
b) y + 3 = -2(x – 6)
c) x + y = 10
d)y- 1 = 5(x + 7)

Answer:

4:120, 6:180, 8:240

each time it's 30 x the amount of bags, it's 30 pounds a bag

Step-by-step explanation:

Answer:

m <5 = 65°

m<8 = 115°

Step-by-step explanation:

m<2= m<5 = 65° (vertically opposite angles are equal)

m<5 + m<4 = 180 (co-int angles, parallel lines)

65+ m<4 =180

m<4 = 115°

Therefore

m<4=m<8 = 115° (vertically opposite angles are equal)

Answer:

m<5 = 65 degrees  m<8 = 115 degrees

Step-by-step explanation:

m<2 = 65 degrees

m<2 = m<5 so

m<5 = 65 degrees

A line is 180 degrees, so

180 degrees - 65 degrees = 115 degrees

m<8 = 115 degrees

Answer:

$160

Step-by-step explanation:

Let the original cost of suit be x

If the suits were sold for $72 each and this price was 45% of a suit's original price, then;

72 = 45% of x

72 = 0.45x

x = 72/0.45

x = 160

Hence the original price of the suit is $160

Answer:

160

Step-by-step explanation:

got it correct ig lol

Answer:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7/n-(8/7)=0

Step by step solution :

STEP 1:

           8

Simplify   —

           7

The equation at the end of step

1:

 7    8

 — -  —  = 0

 n    7

STEP 2:

           7

Simplify   —

           n

The equation at the end of step

2:

 7    8

 — -  —  = 0

 n    7

STEP 3:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       n

     The right denominator is :       7

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

7 0 1 1

Product of all

Prime Factors  1 7 7

                 Number of times each Algebraic Factor

           appears in the factorization of:

   Algebraic    

   Factor      Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

n  1 0 1

     Least Common Multiple:

     7n

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Denominator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 7

  Right_M = L.C.M / R_Deno = n

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      7 • 7

  ——————————————————  =   —————

        L.C.M              7n  

  R. Mult. • R. Num.      8 • n

  ——————————————————  =   —————

        L.C.M              7n  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7 • 7 - (8 • n)     49 - 8n

———————————————  =  ———————

      7n              7n  

The equation at the end of step

3

:

 49 - 8n

 ———————  = 0

   7n  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.

Here's how:

 49-8n

 ————— • 7n = 0 • 7n

  7n  

Now, on the left-hand side, the  7n  cancels out the denominator, while, on the right-hand side, zero times anything is still zero.

The equation now takes the shape :

  49-8n  = 0

Solving a Single Variable Equation:

4.2      Solve  :    -8n+49 = 0

Subtract  49  from both sides of the equation :

                     -8n = -49

Multiply both sides of the equation by (-1) :  8n = 49

Divide both sides of the equation by 8:

                    n = 49/8 = 6.125

One solution was found :

n = 49/8 = 6.125

Step-by-step explanation:

hope this helps...

The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

"It is a mathematical statement which consists of variables and constants, and some algebraic operations."

"It is a mathematical statement which consists of equal symbol between two mathematical statements."

For given question,

We have been given an equation [tex](7^2)^4=n^8[/tex]

Consider an algebraic expression on the left side of the above equation.

[tex](7^2)^4[/tex]

Using the properties of exponents we can write it as,

[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]

So, given equation becomes,

[tex]7^8=n^8[/tex]

Since power is same, base of above exponents is equal.

⇒ n = 7

Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

Learn more about the exponents here:

https://brainly.com/question/12158740

#SPJ2

Answer:

73.67

Step-by-step explanation:

Answer:

X=7 X=-1

Step-by-step explanation:

4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.

(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those

X=7 X=1 equating those parenthesis to 0 gives you that

Answer:

4 2/3

Step-by-step explanation:

Any negatives in absolute value signs can be turned positive because it is the same distance from 0 in the number line. (right or left, but in this case, the distance is ALWAYS positive)

Answer: -11/2

Step-by-step explanation:

Answer: 47

Step-by-step explanation:

I just worked it out and checked my work with a calculator :)

Answer:

A- (-2,-2)

Step-by-step explanation:

If we move the point 3 right, then we add 3 to the x-coordinate and get -2. If we move down 4, we are subtracting 4 from y-coordinate and get -2. So, our coordinate would be (-2,-2).

Hope this helped.

Answer:

D

Step-by-step explanation:

Well, I can tell the answer just by looking:

- The shape moved counterclockwise by one quadrant

- The shape got SMALLER

- Rotations go counterclockwise. So that's a 90 degree rotation.

- Shape gets smaller so it's dilated by a number less than 1. Dilate by 1/2

Answer:

P=28

Step-by-step explanation:

a=bh

24= 12x

24 divided by 12=2

12 +2+12+2= 28

Answer:

9 days

Step-by-step explanation:

Day 1 20 min

Day 2 20 min

Day 3 30 min

Day 4 30min

Day 5 40 min

Day 6 40 min

Day 7 50 min

Day 8 50 min

Day 9 60 min

Answer:

add the numbers first and divide to 3x

Answer:

192

Step-by-step explanation:

8²+x²=16²

x=y

[tex]x = \sqrt{192} [/tex]

Actual distance = distance on map x the scale:

3 inches x 15 miles per inch = 45 actual miles.

Answer:

the process of being eroded by natural agents such as wind, water, ice, etc.

this process moves sediment or material from one place to another

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C will have the least value with -99.

A would be 1/100, which is 0.01, which is small, but larger than -99.

B would be 10/100, which is 0.1, which is larger than A.

C is 1-100, which equals -99.

D is 10-100, which equals -90. -99 is smaller than -90.

Answer:

c) 1 - x

Step-by-step explanation:

x = 100

a) [tex]\frac{1}{x}[/tex] ⇒ [tex]\frac{1}{100}[/tex]

answer ⇒ 0.01

b) [tex]\frac{10}{x}[/tex] ⇒ [tex]\frac{10}{100}[/tex]

answer ⇒ 0.10

c) 1 - x ⇒ 1 - 100

answer ⇒ -99

d) 10 - x ⇒ 10 - 100

answer ⇒ -90

9514 1404 393

Answer:

Step-by-step explanation:

Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.

The next term is 15.

_____

The sequence of triangular numbers is given by the explicit formula ...

   an = n(n+1)/2

__

Finding the Formula

The sequence of first differences is ...

  3 -1 = 2

  6 -3 = 3

  10 -6 = 4

And the sequence of second differences is ...

  3 -2 = 1

  4 -3 = 1

These are constant, indicating the sequence is described by a polynomial function of 2nd degree.

There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.

n = 1

  a1 = 1 = a(1)^2 +b(1) + c

n = 2

  a2 = 3 = a(2)^2 + b(2) +c

n = 3

  a3 = 6 = a(3)^2 +b(3) +c

To solve, we can subtract each equation from the next:

  a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)

  2 = 3a +b

and

  a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)

  3 = 5a +b

Now we can subtract the first of these equation from the second:

  (3) -(2) = a(5 -3) +b(1 -1)   ⇒   1 = 2a   ⇒   a = 1/2

Then ...

  2 = 3(1/2) +b

  1/2 = b

  1 = a + b + c   ⇒   1 = 1/2 + 1/2 + c   ⇒   c = 0

So, the quadratic function describing the sequence of triangular numbers is ...

  an = (1/2)(n^2 +n)

  an = n(n+1)/2

Answer:

no solution

Step-by-step explanation:

x + y cannot be equal to both -3 and 7, so there is no solution.

Answer:

39

Step-by-step explanation:

3(6+7)

=18+21

=39

or

3(6+7)

=3(13)

=39

Answer:

$27

Step-by-step explanation:

0.50 * 60 = 30

60 + 30 = 90

0.30 * 90 = 27

Answer:

Leorio, Gon, Killua, Kurapika, Hisoka, and Ging

Step-by-step explanation

Answer:

It's 21976 Gon! >:3

well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3

Step-by-step explanation:

:3

Answer:

50p

Step-by-step explanation:

you can add them all up together. 27+3+6+14=50!

Answer:

x=107/2, y=-40. (107/2, -40).

Step-by-step explanation:

y=-31-9=-40

2x+3(-40)=-13

2x-120=-13

2x=-13+120

2x=107

x=107/2

Step-by-step explanation:

Divide each term in 3x = 1 by 3

3x/3 = 1/3

cancel the common factor of 3

x = 1/3

decimal form

0.3

Answer:

60,000

Step-by-step explanation:

I may be wrong hope not.