Car rental company A charges $45 a day to rent a certain car. Car rental B charges $30 a day plus $0.20 per mile to rent a similar car. For how many miles is the cost at car rental Company B more than the cost at car rental company A?

Answers

Answer 1

Answer: Answer is given below

Answer 2

Answer:

Final answer:

The cost at car rental company B is more than the cost at car rental company A when the number of miles driven is greater than $15.

Explanation:

The cost at car rental company B is more than the cost at car rental company A when the number of miles driven is greater than $15.

To find this, you can set up an equation:

The cost at car rental company A is given by: $45 x d, where d represents the number of days.
The cost at car rental company B is given by: ($30 + $0.20m) x d, where m represents the number of miles driven.

So we need to find when ($30 + $0.20m) x d is greater than $45 x d.

($30 + $0.20m) x d > $45 x d

$30 + $0.20m > $45

$0.20m > $15

m > 75

Therefore, when the number of miles driven exceeds 75, the cost at car rental company B is more expensive.

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Which expression can be used to model the phrase “the sum of three and a number”? 3+x x-3

What the missing length

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the height is 7 the formula. B*H*.5 so 10*7=70, and the half of 70 is 35 or 75*.5=35

Manny makes dinner using 1 box of pasta and 1 jar of sauce. If pasta is sold in packages of 10 boxes and sauce is sold in packages of 2 jars, what is the least number of dinners that Manny can make without any supplies leftover?

Answers

Answer:

10 dinners

Step-by-step explanation:

We solve using the Least Common Multiple Method.

We are told:

Pasta is sold in packages of 10 boxes Sauce is sold in packages of 2 jars.

We find the Multiples of 2 and 10

Multiples of 2:

2, 4, 6, 8, 10, 12, 14

Multiples of 10:

10, 20, 30

Therefore,

LCM(2, 10) = 10

The least number of dinners that Manny can make without any supplies leftover is 10 dinners

The function f(t) = −5t 2 + 20t + 60 models the approximate height of an objectt seconds after it is launched. How many seconds does it take the object to hit the
ground?

Answers

Answer:

6 seconds.

Step-by-step explanation:

We have been given a function formula $f(t)=-5t^2+20t+60$ that models the approximate height of an object t seconds after it is launched.

To find the number of seconds it will take the object to hit the ground, we need to find the zeros of our given function.

$-5t^2+20t+60=0$

Upon dividing our equation by -5 we will get,

$t^2-4t-12=0$

We will factor our given equation by splitting the middle term as:

$t^2-6t+2t-12=0$

$t(t-6)+2(t-6)=0$

$(t-6)(t+2)=0$

$(t-6)=0\text{ or }(t+2)=0$

$t=6\text{ or }t=-2$

Since time cannot be negative, therefore, it will take the object 6 seconds to hit the ground.

f(t) = -5t^2 + 20t + 60
-5(t^2 - 4t - 12)
-5(t + 2) (t - 6)
t = -2 or t = 6

6 seconds

4x-5=6x+11 solve for x

Answers

Isolate X
4x - 5 = 6x + 11
4x - 4x - 5 = 6x - 11 - 4x
-5 = 6x - 4x - 11
-5 = 2x - 11
-5 + 11 = 2x -11 + 11
6 = 2x
6/2 = 2x/2
3 = x

X is 3.

4x - 5 = 6x + 11

10 x - 16

10 divided by 10 = x

16 divided by 10 = 1.6

x = 1.6

I think.

5/8 - 3/4 (8 - 1/3) + 1

Answers

Answer:

use a algebra caculator

Step-by-step explanation:

Answer:

-4.125

Step-by-step explanation:

5/8 - 3/4 (8-1/2 ) + 1 = - 33/8 = -4 1/8

The graph of f(x)=3x is reflected across the x-axis. Write a function g(x) to describe the new graph. g(x)=___

Answers

The graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is a reflection across the x-axis?

Reflection across the x-axis is defined as reflecting a point across the x-coordinate and y-coordinate change places, and When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)

To determine the graph of f(x) = 3x is reflected across the x-axis.

So the graph of f(x) = 3x is reflected across the x-axis.

⇒ g(x) = f(-x) = 3x

Hence, the graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.

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Answer:

g(x) = -f(x)

Step-by-step explanation:

When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)

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