What is the simplified form of the quantity 4 z squared minus 4z minus 15 over the quantity 2 z squared plus z minus 15? (6 points)

Answers

Answer 1
Answer:

Answer: The simplified form of the given equation is (2z+3)/(z+3)

Step-by-step explanation:

From the given information, the numerator of the given fraction is: 4z^2-4z-15

and denominator of the given fraction is 2z^2+z-15

The fraction becomes:

(4z^2-4z-15)/(2z^2+z-15)

Applying middle term factorization in the numerator and denominator term, we get:

= (4z^2-10z+6z-15)/(2z^2+6z-5z-15)

= (2z(2z-5)+3(2z-5))/(2z(z+3)-5(z+3))

= ((2z+3)(2z-5))/((2z-5)(z+3))

Cancelling (2z-5) factor from numerator an denominator, we get:

= (2z+3)/(z+3)

The above fraction is the simplified form of the equation formed in the question.

Answer 2
Answer: First you simplify it down to (2z+3)(2z-5)/(2z-5)(z+3)
Both of the brackets containing (2z-5) can now be cancelled out leaving you with a final answer of (2z+3)/(z+3)

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Need help.
I 2x +1 I < -4

Answers


the absolute value of a number is always positive. Therefore you cannot have an absolute value equal to a negative number.

the answer would be "no solution"

| 2x +1 | < -4\n x\in\emptyset

Find the values of x and y if

Answers

Answer:

see explanation

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, then

CA = NE , that is

4x + 3 = 11 ( subtract 3 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

----------------------------------------

AR = EW, that is

4y - 12 = 10 ( add 12 to both sides )

4y = 22 ( divide both sides by 4 )

y = 5.5

-------------------------------------------

NW = x + y = 2 + 5.5 = 7.5

CR = NW = 7.5

A GPA is usually an example of a.

Answers

the answer is grade point average (GPA)

The relative frequency of green on a spinner is 5/6. How many times would you expect a green in 300 spins?

Answers

5/6*300=250
250 spins

Find point-slope.(3/2, -1/2)
(-2/3, 1/3)

x1: 3/2
x2: -2/3
y1: -1/2
y2: 1/3

to find slope:
m= y2-y1/x2-x1

point-slope:
y-y1=m(x-x1)

Answers

this iis easie guise, why don't you do it? so
point slope=y-y1=m(x-x1)

so just subsitute
first find m
m=(y2-y1)/(x2-x1)=(1/3-(-1/2))/(-2/3-3/2)=(1/3+1/2)/(-2/3-3/2)=(5/6)/(-13/6)=-5/13
m=-5/13
subsitute
y-y1=-5/13(x-x1)
subsitute
y-(-1/2)=-5/13(x-3/2)
y+1/2=-5/13x+15/26
subtract 1/2 from both sides
y=-5/13x+15/26-13/26 (1/2=13/26)
y=-5/13x+2/26
y=-5/13x+1/13

Answer:

Step-by-step explanation:

Sample Answer:When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.

hope this helps.

How can 11,14,13 and 19 equal to 4

Answers

19 - 13 = 6
6 + 11 = 17
17 - 13 = 4