All categories

3 years ago

Need help on this Z+4>2z

Mathematics

1 answer:

snow_lady [41]3 years ago

7 0

Answer: z < 4

z+4 > 2z

z+4-z > 2z-z ..... Subtract z from both sides

4 > z

z < 4

So the solution set for z is any number that is less than 4, which could be something like z = 2 or z = 3.

You might be interested in

One school purchased 16 gallons of blue paint to decorate several of its classrooms. If

Elodia [21]

Answer: zero

Explanation: if one classroom on its own needed 17 gallons of paint and they only purchased 16,-- which is less than needed for one classroom- how would there be enough for any other classroom?

4 0

3 years ago

Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60

RSB [31]

Answer:

$f(x)=2x^{3}+24x^{2}+82x+60$

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

$f(x)=a(x+6)(x+5)(x+1)$

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

$60=a(0+6)(0+5)(0+1)$

$60=a(6)(5)(1)$

$60=30a$

$a=2$

$f(x)=2(x+6)(x+5)(x+1)$

Applying the distributive property

Convert to expanded form

$f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60$

3 0

4 years ago

Find y for x= 1,2,3,and 4<br>y=2x y=3x+1 y=x-5 y=-5x+6

Alenkasestr [34]

Like I said, just use the formulas
y=2x is 2,4,6,8
y=3x+1 is 4,7,10,13
y=x-5 is -4,-3,-2,-1
y=5x+6 is 11,16,21,26
Wow I just noticed these are all patterns...

8 0

3 years ago

Given the following information, determine which lines are parallel and what justifies them being parallel.

weeeeeb [17]

Answers:

Blank 1 = p and r

Blank 2 = corresponding angles converse

==========================================================

Explanation:

Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.

If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse

4 0

3 years ago

Math help please show work

Allisa [31]

Answer:

Step-by-step explanation:

To overestimate the area would mean that you completely enclose the circle in squares; an 8 x 8 square to b exact. The area of a square with sides measuring 8 is 64. The overestimation is 64.

To underestimate the area would mean that you only count the squares that are completely inside the circle. That would be a 6 x 6 square (even though the 6th squares are a tiny bit outside the circle). A square with sides of 6 has an area of 36. The underestimation is 36.

7 0

3 years ago