Sara drives 96 miles on 3.2 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Using this result, how many miles can Sara drive on 12.5 gallons of gas?

Answers

Answer 1

Answer: 1st to get the mpg we need to divide 96/3.2 = 30 mpg

now that we know it's 30 mpg we multiply by the gallons of gas

30 * 12.5 = 375 miles

Answer 2

Answer:

Final answer:

Sara gets 30 miles per gallon of gas. Hence, with 12.5 gallons of gas, she can drive 375 miles.

Explanation:

To calculate how many miles Sara can drive per gallon of gas, we need to divide the total distance driven by the amount of gas used. In this case, it's 96 miles divided by 3.2 gallons. Using simple division, we find that Sara gets 30 miles per gallon of gas.

Now, to find out how far Sara can drive using 12.5 gallons, you just need to multiply the miles per gallon by the number of gallons available. In this case, it's 30 miles per gallon times 12.5 gallons. Hence, Sara can drive 375 miles on 12.5 gallons of gas.

Learn more about Miles per Gallon here:

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Put the inequality in standard form and enter it below.

60 < x + 8

Answers

I added a picture showing the equation.

the answer is 52 because subtract 8 from 60.

Domain and Range of each graph. (50 Points)

Answers

Answer:

a. Domain: {-5} Range: [-5, 5]

b. Domain: (-∞, ∞) Range: (-∞, ∞)

c. Domain: [-1, 2] Range: [-5, 5]

d. Domain: [-4, 4] Range: [-4, 4]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted by function f(x).

Answer:

Coordinate geometry is one of the most important and exciting ideas of mathematics. In particular it is central to the mathematics students meet at school. It provides a connection between algebra and geometry through graphs of lines and curves. This enables geometric problems to be solved algebraically and provides geometric insights into algebra.

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Step-by-step explanation:

State the maximum and mini mum value of
f(x)= x^2+9

Answers

$f(x)= x^2+9\n\nfor\ each\ x\in R\n\nx^2 \geq 0\ \ \ \Rightarrow\ \ \ x^2+9 \geq 9\ \ \ \Rightarrow\ \ \ f(x) \geq 9\n\ny_(min)=9\n y_(max)\ \ \ \rightarrow\ \ \ not\ exist$

$a>0 \Rightarrow \hbox{no maximum}$

$y_(min)=(-b^2+4ac)/(4a)\ny_(min)=(-0^2+4\cdot1\cdot9)/(4\cdot1)\n y_(min)=9$

245 + 197 =
Plsss help me

Answers

the answer would be 442

Step-by-step explanation:

245+197=442 i think....

A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37

f(x), because an increasing quadratic function will eventually exceed an increasing exponential function
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect
g(x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect

Answers

Answer:

Option 2 is correct.

Step-by-step explanation:

We have been given points of g(x) and f(x)

g(x) has ordered pairs (0,1) ,(1,2) ,(3,8) ,(5,32) and (6,64) this is an exponential function which is $g(x)=2^x$ from the given points.

f(x) has ordered pairs (0,1) ,(1,2) ,(3,10) ,(5,26) and (6,37) this is a quadratic function

We will put these values in the quadratic function which is:

$ax^2+bx+c=y$

Taking (0,1)

$a(0)+b(0)+c=1$

c=1

Now, taking (1,2)

$a+b+1=2$

$a+b=1$ (1)

Now, taking (3,10)

$a(3)^2+b(3)+1=10$

$9a+3b=9$ (2)

Now, solving the equation (1) and (2) we get:

a=1 and b=0

Hence, the function $f(x)=x^2+1$

Please look at the attachment for the graph

We can see that the g(x) an exponential function will eventually exceed the increasing quadratic function

Therefore, option 2 is correct.

greatly across different items. This items at Burger King is crucial for both consumers and the fast food chain. Calorie count varies also guiding Burger King in ims. This information can help consumers make informed choices and maintain a healthy weight, while efforts to provide more transparent their menu offerings to provide healthier options. In recent years, fast food chains have made aid in promoting healthier eating habent information about calorie content, and displaying this information on menus and websites an analyst, which examines various fabits. The following output represents the findings of a multiple regression analysis conducted by Answer the following questions. 1. How many predictors were considered in his analysis? 2. State the Regression Equation. (Keep 2 decimals) 3. State the value of bo and interpret it in context. 4. State the value of b3 and interpret it in context.

Answers

you need to state the value of bo

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