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Paraphin [41]
3 years ago
12

Can u help me on this pl

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

B) 9d^8

Step-by-step explanation:

To find the expression equivalent to (3d^4)^2, we must simplify the given expression. This can be done by applying an exponent rule:

(a*b)^x=a^xb^x

In the context of our problem, we would have:

(3*d^4)^2

Therefore, when that exponent is distributed, we get:

(3^2d^8)

Simplified, we have:

9d^8

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You work for a rental car company. If customers return a car with under half a tank of gas, they are charged $7.50 per gallon of
expeople1 [14]

Answer:

<u>The correct answer is C. $ 39.89</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Tank capacity = 21 gallons

Cost of gallon of gas when the car is returned with under half a tank = $ 7.50

Cost of gallon of gas when the car is returned with more than half a tank = $ 5.75

Gas in the tank of the rental car = 1,800 fluid ounces

2. How much should you charge the customer to fill the tank?

Let's recall that 1 gallon = 128 fluid ounces

Now, we will answer the question this way, converting the tank capacity from gallons to fluid ounces:

Capacity of the gas tank = 21 * 128 = 2,688 fluid ounces

Like 1,800 is above the 50% of the tank, we will charge $ 5.75 per gallon to fill up the tank

Now, we calculate the cost of gas per fluid ounce, this way:

Cost per fluid ounce = 5.75/128 = $ 0.04492

Finally, we calculate how many fluid ounces the customer has to pay this way:

We will charge the customer = (2,688 - 1,800) * 0.04492

We will charge the customer = $ 39.89

<u>The correct answer is C. $ 39.89</u>

7 0
3 years ago
Please help quickly!
Kitty [74]

Answer:

times it by 3 on both sides should get 180

Step-by-step explanation:

4 0
3 years ago
Which expression is a factor of this polynomial?
sesenic [268]

The factor is the solution of zeros of the equation and x + 2 making it zero therefore x + 2 will be the solution of the given polynomial so option (B) will be correct.

<h3>What are the roots of an equation?</h3>

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

Given the polynomial,

x³ + 2x² - 9x - 18

A factor is consist of a solution of zeros of any polynomial.

For example;

x² + 5x + 6 = 0

x(x + 2) + 3(x + 2) = 0

(x + 3)(x + 2) = 0

Here x + 3 and x + 2 are factor and solution is x = -3 and -2

Similarly,

x³ + 2x² - 9x - 18 = 0

The factor must be the solution to this.

By cross-checking option

Option (A) x + 1 = 0 → x = -1

Keeping x = -1

(-1)³ + 2(-1)² - 9(-1) - 18 = -8 ≠ 0 so it is not the factor.

Option (B) (x + 2) = 0 → x = -2

(-2)³ + 2(-2)² - 9(-2) - 18

-8 + 8 + 18 - 18 = 0 = 0 so it will be factor of the polynomial.

Hence " x + 2 will be the solution of the given polynomial".

To learn more about the roots of an equation,

brainly.com/question/12029673

#SPJ1

4 0
1 year ago
Select an expression equivalent to 60 + 72.
mestny [16]
It’s option B: 12(5+6) you add 5 and 6 first then you multiply 11 times 12 and you get 132, you get the same answer as 60+72 which is 132
8 0
4 years ago
Read 2 more answers
What is the value of x<br> 2(3x+4)=5x+3x-4
stiks02 [169]

Answer:

x=6

Step-by-step explanation:

2(3x+4)=5x+3x-4

combine all like terms and distribute

6x+8=8x-4

-8 -8

6x= 8x-12

-8x -8x

-2x= -12

x= 6

5 0
3 years ago
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