The telephone company offers two billing plans for local calls. Plan 1 charges $21 per month for unlimited calls and Plan 2 charges $15 per month plus $0.06 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
a. Let x represent the number of monthly calls.

Answer:

[tex]\boxed{\sf y^{15}}[/tex]

Step-by-step explanation:

Given expression:

When any expression is given in the format [tex]\sf (\ a^b \ )^c[/tex] then [tex]\sf a^{bc}[/tex].

simplify

The generated equivalent expression is 9y + 24. So, the correct answer is option D.

What is an expression?

An expression can be defined as the combination of variables and constants with two or more operations applied on it. The operation can be addition, subtraction, multiplication and division.

Simplifying to generate an equivalent expression

The given expression is 2(3y + 6) - 3(- 4 - y)

= 2(3y + 6) + 3(4 + y)

= 6y + 12 + 12 + 3y

= 6y + 3y + 24

= 9y + 24

Hence, the generated equivalent expression is 9y + 24.

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Answer:

Step-by-step explanation:

divide 14 by 11

which is 0.36

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of three angles is 180 degrees.

Show this as equation and solve for x:

Angle one is:

The numbers 7, 22, 11, 34, 17, 52, 26, 13 and so on represent hailstone sequence.

These patterns are referred to as hailstone sequences because the values frequently rise and fall, resembling a hailstone inside a cloud.

It should be noted that such numbers can either rise or fall.

Therefore, the numbers 7, 22, 11, 34, 17, 52, 26, 13 and so ob represent hailstone sequence.

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Answer:

2 on the 1st, 1 on the second, 3 on the third, 1 on the fourth

Answer:

72

Step-by-step explanation:

let's begin by restating what we already know,

360 bottles of juice in 5 minutes

for goodness's sake let's abbreviate this

360 boj in 5 mins

RATIO TIME!

360 : 5

pay attention how I put the BOJ (bottles of juice) first and the time last

now to find how many boj per min. we will say

[tex]\frac{1}{5} (360: 5)[/tex]

72:1

so, we now know that the factory of juice produces 72 bottles of juices per minute ( that's ALOT of juices per minute imo)

^_^ hope this helps, happy learning

Answer:

-40

Step-by-step explanation:

It states with g(-2) that x = -2, so we can plug -2 for x.

g(x) = 3x^3 - 2x^2 + 4x
g(x) = 3(-2)^3 - 2(-2)^2 + 4(-2)
g(x) = 3(-8) - 2(4) + 4(-2)
g(x) = -24 - 8 - 8
g(x) = -40

Answer:

is 15.2

Step-by-step explanation:

Answer:

[tex] \sf \large{m=−3}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

10=7−m

Step 1: Simplify both sides of the equation.

10=7−m

10=7+−m

10=−m+7

Step 2: Flip the equation.

−m+7=10

Step 3: Subtract 7 from both sides.

−m+7−7=10−7

−m=3

Step 4: Divide both sides by -1.

−m/−1= 3/−1

m=−3

Answer: 8 and 9

Step-by-step explanation:

square root of - 80 is 8.94427191 so 8 and 9 is the integers around it.

Answer:

Step-by-step explanation:

Need more clarification! Which function?

Answer:x=

Step-by-step explanation:

Answer: Domain: [-1, 1]

Range: [-2, 3]

Step-by-step explanation:

Domain: The x-values go from -1 to 1 with x=-1 and x=1 included.

Range: The range starts at the vertex of the function which is y=-2 and goes up to y=3 where the graph is cut off by 2 points on y=3.

Answer:

8

Step-by-step explanation:

-5 is 5 units left of zero.

3 is 3 units right of zero.

The difference is 8.

The correct solution of division fractions is 18/4.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. The primary objective of division is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.

When describing how much of anything is left over, a fraction is used. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator

Given that,

The division fraction is 6× 3/4

So, the fraction is 6/1×3/4

Therefore, the division fraction is  4×2/4 or 18/4

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The total change in the tons of recyclable material taken to the landfill after 10 7 months resulting from the awareness program = (x - 95.9) tons, where x is the initial amount.

In this question, we have been given after a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 tons per month.

We need to represent the total change in the tons of recyclable material taken to the landfill after 10 7 months resulting from the awareness program.

Given that reduction in materials = 13 7/10 tons per month

We rewrite the improper fraction 13 7/10 as a proper fraction.

13 7/10 = 137/10

Monthly reduction = 137/10 tons

After 7 months : (7 × 137/10)

                         = 959/10 tons

                         = 95.9 tons

Change in amount of material taken to the land fill:

Initial amount - amount after 7 months

If initial amount be x, then the change in amount = (x - 95.9) tons

So, we get an expression (x - 95.9)

Therefore, the total change in the tons of recyclable material taken to the landfill after 10 7 months resulting from the awareness program =                 (x - 95.9) tons, where x is the initial amount.

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The equation in the form y = mx + b is as follows:

y = 1 / 5 x + 32

The customer uses 500 minutes, the monthly cost will be $132. If the customer uses 700 minutes, the monthly cost will be $172.

Using linear equation in slope intercept form,

y = mx + b

where

Hence,

x = the number of monthly minutes used

y = the total monthly of the Ringular plan

Therefore, the equation in slope intercept form can be represented as follows:

(500, 132)(700, 172)

let's find the slope,

m = 172 - 132 / 700 - 500

m = 40 / 200

m = 4 / 20

m = 1 / 5

Hence,

y = 1 / 5x + b

using (500, 132) let's find the y-intercept

132 = 1 / 5 (500) + b

132 = 100 + b

b = 132 - 100

b = 32

Therefore, the equation in the form y = mx + b is as follows:

y = 1 / 5 x + 32

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Answer:

D

Step-by-step explanation:

a linear expression in two variables has the form ax + by

an inequality uses the symbols < , > , ≤ , ≥

the only expression in this form is

3x + 4y ≥ 10

The two true statements are:

b) (f(5)−f(1)) / (5−1) < 0

d)  f(5) < f(1)

We know that f(x) is a decreasing function, this means that, as x increases, the value of f(x) decreases.

So, if there are two values in the domain a and b, such that a < b, we will have that:

f(a) > f(b).

Then the statement:

[ f(5) - f(1)]/(5 - 1) < 0

Is true, because f(1) is larger than f(5).

Which means that statement d ( f(5) < f(1)) is also true.

Then the two correct options are b and d.

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what of disibility rules?

Answer:

(x,y) = (-1,1)

Step-by-step explanation:

step 1

subsitute the given value of y into the equation

2x+7(x+2)=5

step 2

solve for x

x= -1

step 3

subsitute the value of x in to the second equation

y= -1+2

step 4

solve for y

y=1

step 5

check if there true by putting the value of x and y back in to the equation.

then configure x and y into an ordered pair.

(x,y)=(-1,1)

I hope this helped!

Answer:

6

Step-by-step explanation:

First, divide 7.16 by 4 to find the price of one bottle, which is 1.79. Then, divide 10.74 by 1.79 to get 6.