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riadik2000 [5.3K]
3 years ago
8

-1/3 + 2z = -5/6 What would z be?

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer Z = -1/4

Step-by-step explanation:

-1/3+2z= -5/6

Add 1/3 to both sides

-1/3+2z+1/3 = -5/6+1/3

Simplify

2z=-1/2

Divide both sides by 2

2z/2 = -1/2/2

Simplify

z = -1/4

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C(x)=x^2+6x+14 find vertex form
nalin [4]

Answer:

c(x)=(x+3)^2+5

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides.

So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression

C(x) =x^2 +6x + 9 + 14

Since 9 was added to the right-hand side also add 9 to the left-hand side

C(x) +9= x^2 +6x + 9 + 14

Using a^2 + 2ab + b^2=(a+b)^2, factor the expression

C(x)+9= (x+3)^2 +14

Move constant to the right-hand side and change its sign

C(x)=(x+3)^2 +14 - 9

Subtract the numbers

C(x)= (x+3)^2 +5

6 0
3 years ago
The mass of the part of a metal rod that lies between its left end and a point x meters to the right is 3x^2 kg. Find the linear
Sav [38]

Answer:

6 kg/m

Step-by-step explanation:

mass m = 3x^2.

rho ρ= dm/dx =6x

ρ(1) =6 Kg/m

linear density is the derivative of mass (m)  with respect to position(x)

that is how fast is the mass changing at that position.

4 0
3 years ago
10. Emmilynn gets paid $975 each month. If she opens a savings account with a $100 check she
blondinia [14]

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5 0
3 years ago
Please help !!! I’m stuck
Kruka [31]

Answer:

2/3 ≈ 0.6667

Step-by-step explanation:

apply soh cah toa

sine=opposite/hypo

sine=4/6

sine=2/3

4 0
2 years ago
Tony’s Electronics is marking down the price of a TV 23% from the original price of $175. Which expression can be used to find t
Arlecino [84]

Answer:

The sale price is \$134.75

The expression is \$175(0.77)

Step-by-step explanation:

we know that

The sale price is equal to subtract the discount price from the original price

The discount price is equal to multiply the original price by the percent discount in decimal form

Let

x ----> the sale price

y ---> discount price

23\%=23/100=0.23 ----> percent discount in decimal form

y=\$175(0.23)=\$40.25

x=\$175-y

substitute

x=\$175-\$40.25=\$134.75

therefore

the expression is

175-0.23(175)\\175(1-0.23)\\175(0.77)

3 0
3 years ago
Read 2 more answers
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