MATHEMATICS HIGH SCHOOL

4y - 3 + 2y = 7y + 2

Answers

Answer 1
Answer:

Answer:

y = -5

Step-by-step explanation:

  • 4y - 3 + 2y = 7y + 2
  • 4y - 7y + 2y = 3 + 2
  • -y = 5
  • y = -5

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Answer 2
Answer:

Answer:

Y=-5

Step-by-step explanation:

-4y on each side then -2y on each side so it is know -3=y+2. Y must be -5 because -3-2=-5

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Answers

Answer:

101

Step-by-step explanation:

Answer:101

Step-by-step explanation:

Erika has three pieces of ribbon each peace is 25 yards long she needs to cut pieces that are 22 inches long what is the greatest number of 22 inch pizza is that she can cut from the three pieces of ribbon

Answers

Answer:

120 pieces with a bit left over

Step-by-step explanation:

Recall that 1 yard = 36 inches.  Thus, a 22-inch piece of ribbon has length

L = (22 inches) / (36 inches / yd) = 11/18 yd.

We must now find out how many 22-inch, or 11/18-yard, pieces can be cut from each 25-yd piece.  Divide 25 yd by (11/18 yd/piece), obtaining:

25 yd      18 pieces  

--------- * ----------------- = 40.91 pieces.

    1           11 yd

Since we're interested in only whole pieces of length 11/18 yd, this produces 40 pieces with 0.91 piece left over.

Cutting up the three 25-yd pieces will then result in 3(40 pieces), or 120, pieces of length 11/18 yd.

The force of an object (f) is equal to its mass (m) times its acceleration (a). Thus, the formula for calculating force is f = ma. Based on this information, which of the following equations would be used to calculate acceleration?A. a = f ÷ m
B. a = f − m
C. a = f + m
D. a = fm

Answers

The correct answer is A. To rearrange the equation, you have to divide both sides by "m" to isolate "a" so that acceleration can be directly calculated. This would result in the equation becoming: f/m = ma/m As the mass (m) on the right hand side of the equation appears in the numerator and the denominator, it can be cancelled, resulting in the new equation: f/m = a which can then be flipped to give a = f/m.

15% of what number equals 12

Answers

.15x=12

x= 12/.15

x= 80

15% of 80 equals 12


I hope that's help !

Jason and Ron together have 97 baseball cards. Jason has four more than twice as many cards as ron. How many baseball cards does each person have?

Answers

Let r be the number of cards Ron has. 

r + 2r + 4 = 97
3r + 4 = 97
3r + 4 - 4 = 97 - 4
3r = 93
3/3r = 93/3
r = 31

Ron has a total of 31 cards and Jason has a total of 66 cards.

1) Find the inverse function of f(x)=1/2x+32)Use composition to verify that they are inverse relations?
3) f^ Domain : Range:
4) f^-1 Domain : Range:

Answers

 y = 1/2x + 3
change x and y

x = 1/2y + 3
now find the value of y and that is inverse function 

x - 3 =1/2 y
y = 2x- 6
 
f-(x) = 2x - 6


for both domain : ( - ∞ , + ∞ )

range f (x) : ( - ∞ , + ∞ )  - { 0 }
range f-(x) :( -∞ , +∞)
To find the inverse function you need to change f(x) (call it y) and x, then solve for y:

y = (1)/(2)x+3 \n x = (1)/(2)y + 3 \n x - 3 = (1)/(2)y \n 2x-6 = y

So now you have f^(-1)(x) = 2x-6.

Composition to prove inverse relation: f \circ f^(-1) (x) = x:

f(f^(-1)(x)) = (1)/(2)(2x-6)+3 = x - 3 + 3 = x \square

Domain and Range of both functions is Real numbers since they are both linear equations.
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