Greatest common factor of 96 and 36

Answers

Answer 1
Answer: 36: 18, 12, 9, 6, 4, 3, 2, 1.
96: 48, 32, 24, 16, 12, 8, 6, 4, 3, 2, 1.

ans: 12

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The width of a rectangle is 4 less than half the length. If represents the length, which equation could be used to find the width, w?
Calculate the monthly finance charge if the average daily balance is $20, the daily periodic rate is 0.05%, and the number of days in the cycle is 30.a) 30 cents. b) 31 cents. c) 50 cents.
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Simplify the expression.1. (-7w)³

Simplify the expression.
2. (3t²) (-5+6)

Simplify the expression.
3. (6y²)³

Answers

(-7w)^3 = -7w * -7w * -7w = -343w^3
(3t^2)(-5 + 6) = (3t^2)(1) = 3t^2
(6y^2)^3 = 6^3 y^(2 * 3) = 216y^6
1. (-7w)^3=-343 w^(3) \n 2. (3 t^(2) ) (-5 t^(6) )=-15 t^(8) \n 3. (6y^2)^3=216 y^(6)

(0,0); m = -2 write an equation of the line that passes through the given point and has the given slope.

Answers

y=(-2x) is the answer due to the intersecting point being at the origin and the slope being -2. the equation is y=m(x-a)+b with (0, 0) being (a, b) and m obviously equaling -2

Please answer quickly! Brainliest and thanks IF HELPFUL and CORRECT! Lots of points!

Answers

Answer:

f(p)::500=25p

Step-by-step explanation:

The unknown is how many packs she has.

Therefore, the total amount 500 is equal to the number of packs (p) and how may are per pack.

Arrange the equations in the correct sequence to find the inverse of f(x)=y=3x/8+x

Answers

To find the inverse of the the function, it must be arranged in such a way that the independent variable be on the left side and the dependent variable on the right. So,
f(x) = y = 3x/ (8 + x)
y (8 + x) = 3x
8y + xy = 3x
8y = 3x - xy
8y = x (3 - y)
8y / (3-y) = x
x = 8y / (3 -y)

Therefore,
f-(x) = f(y) = x = 8y/ (3 - y)

During the summer , you want to earn at least $150 per week. You can earn$10 per hour working for a farmer, and $5 per hour babysitting.you can work at most 25 hrs per week. -write a system of linear inequalities that models the situation-solve your system,and tell how many hours per week you would work babysitting
-if you work 10hrs per week on the farm and 12 hours per week babysitting,will you meet your goal?

Answers

x = nr. hrs working for a farmer;
y = nr. hrs. babysitting;
x + y <= 25;
10x + 5y >= 150

a) Solve the system => one of the solution is  x =5; y = 20(babysitting)
b) 10 + 12 =22 <= 25; 10*10 + 5*12 = 160 >=150.


you can work only as a farmer 15 hours per week 
10x+5y>=150    =>    10 x >= 150- 5y   :5  =>  2x >=30-y => 30-2x <= y 
                                                                                         x+y<= 25 => 
y>=30-2x
y<=25-x


Which function has the smallest minimum y-value?fx) = 2 sin (3x + π) − 2
g(x) = (x − 3)2 − 1
h(x) >
x y
−2 3
−1 −2
0 −5
1 −6
2 −5
3 −2
4 3

Answers

Answer:

The smallest minimum is attained by the function:

h(x)

Step-by-step explanation:

We are asked to find which function has smallest minimum value:

We have:

  • f(x)=2 sin (3x+π)-2

We know that the minimum value of sine function is -1 and the maximum value of sine function is 1.

So, when sine function will have minimum value -1 then the function f(x) also has minimum value as -4.

( since 2×(-1)-2=-2-2= -4 )

  • g(x)=(x-3)^2-1

As this function is a quadratic function and we know that:

(x-3)^2≥0 for all x.

so,

(x-3)^2-1≥ -1.

Hence, the minimum value of g(x) is -1.

  • Also we are given a set of values of function h(x) as:

   h(x) =y

x       y

−2      3

−1     −2

0     − 5

1     −6

2      −5

3      −2

4        3

Clearly from the table we could see that h(x) receives -6 as the minimum value.

Hence, the smallest minimum is attained by the function h(x).

The minimum value of sine is negative one, so f(x) has minimum -2-2=4.  The square function has minimum 0, so g(x) has minimum 0-1=-1. 
h(x) has minimum -6 when x=1, so it has the smallest minimum.