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3 years ago

14, 52, -1, and -168 in ascending order

Mathematics

2 answers:

zheka24 [161]3 years ago

8 0

Answer:

I believe the correct answer would be the following:

-168, -1, 14, 52

<em>I hope this helps! <3</em>

expeople1 [14]3 years ago

3 0

Answer:

-168, -1, 14, 52

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Aunt Maggie’s car broke down on iterestate 10. Sams towing charges a $57 hoop up fee and $2.00 per mile towed. Reginas towing ch

lawyer [7]

Answer:

Both situations can be modeled using linear functions

The rate of change of the function that models Regina's towing charge is 2.5

The y-intercept of the functions that model both situations represents the hook up fee

Step-by-step explanation:

Let

x -----> the number of miles towed

y ----> the total charge in dollars

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

we have

Sam’s Towing

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.00 per mile towed

The y-intercept is equal to the charge per fee

therefore

the linear equation is

Regina’s Towing

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.50 per mile towed

The y-intercept is equal to the charge per fee

therefore

the linear equation is

Verify each statement

case 1) Both situations can be modeled using linear functions

The statement is true

See the explanation

case 2) The y-intercept of the function that models Sam's Towing charges is 2

The statement is False

The y-intercept of the function that models Sam's Towing charges is $57

case 3) The rate of change of the function that models Regina's towing charge is 2.5

The statement is true

See the explanation

case 4) The y-intercept of the functions that model both situations represents the hook up fee

The statement is true

See the explanation

case 5) The rate of change of the functions that model both situations represent the miles traveled per hour

The statement is False

The rate of change of the functions that model both situations represent dollars by mile towed

8 0

3 years ago

1. Storing milk at temperatures colder than 35°F can affect its quality of taste. However, storing milk at temperatures warmer t

Mazyrski [523]

Answer:

Part (A): The required inequality is T < 35 or t >40.

Part (B): The correct option is C) Only x=7.

Part (C) |x+1|+5=2 has no solution; |4x+12|=0 has one solution; |3x|=9 has two solution.

Step-by-step explanation:

Consider the provided information.

Part (A)

Storing milk at temperatures colder than 35°F can affect its quality of taste. However, storing milk at temperatures warmer than 40°F is an unsafe food practice.

The union is written as A∪B or “A or B”.

The intersection of two sets is written as A∩B or “A and B”

We need to determine the inequalities represent the union of these improper storage.

That means we will use A∪B or “A or B”.

The improper storage temperatures is when temperature is less than 35°F or greater than 40°F.

Hence, the required inequality is T < 35 or t >40.

Part (B) 15| x-7|+4=10|x-7|+4

Solve the inequality as shown below:

Subtract 4 from both sides.

$15| x-7|+4-4=10|x-7|+4-4$

Subtract 10|x-7| from both sides

$5\left|x-7\right|=0\\\left|x-7\right|=0\\x=7$

Hence, the correct option is C) Only x=7.

Part (C) Match the solution,

$\left|x+1\right|+5=2$

Subtract 2 from both sides.

$\left|x+1\right|=-3$

Absolute value cannot be less than 0.

Hence, |x+1|+5=2 has no solution.

$|4x+12|=0$

$4x+12=0$

$x=-3$

Hence, |4x+12|=0 has one solution.

$|3x|=9$

$\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a$

$3x=-9\quad \mathrm{or}\quad \:3x=9\\x=-3\quad \mathrm{or}\quad \:x=3$

Hence, |3x|=9 has two solution.

3 0

3 years ago

ENGAGEMENT: Is This Enough?

olganol [36]

Answer:

Step-by-step explanation:

4 0

3 years ago

What is the volume of the figure below?

Alja [10]

Answer:

312

Step-by-step explanation:

Volume of the parallalelepiped:

base x width x height

V = 5 x 4 x 12 = 240

for triangular prism:

base = 8-5 = 3

base area = (base x height)/2 = (3x4)/2 = 6

V = base area x 12

V = 6 x 12 = 72

Total volume = 240 + 72 = 312

7 0

2 years ago

Write an equation that expresses the fact that a function f is continuous at the number 4.

vesna_86 [32]

<span>Use the definition of continuity.
A function is continuous at a point x = a iff
lim [x → a] f(x) = f(a)

In other words, a function is continuous at a point if its value is equal to its limit at that point.

So, for f(x) to continuous at x = 4 we must have
lim f(x) = f(4)
x → 4

</span>

5 0

3 years ago