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3 years ago

A car travels at an average speed of 48 miles per hour. How many miles does it travel in 3 hours and 15 minutes?

Mathematics

1 answer:

Amanda [17]3 years ago

8 0

Answer:

156 miles

Step-by-step explanation:

48 times 3.25 is 156, i got 3.25 by the 3 hours and there is 60 mins in a hour 60÷15=4 so 100÷4=25.

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What is the y-intercept of f(x)=(1/4)^x A. (1,0) B. (1 1/14) C. (0,0) D. (0,1)

evablogger [386]

Answer:

Step-by-step explanation:

firstly,y-intercept, x=0,A and b wrong

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(0,1)

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3 years ago

The hypotenuse of the right triangle is 1 in. more than twice the longer leg. The length of the shorter leg is √10 in. Find the

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2 years ago

Which answer is in slope-intercept form for the given equation? 4x - 9y = -36 Thanks

jek_recluse [69]

Answer:

y = 4/9 x + 4

Step-by-step explanation:

Slope intercept form: y = mx = b

So 4x - 9y = -36

9y = 4x+ 36

y = 4/9 x + 4

4 0

3 years ago

Find the indicated limit, if it exists.

kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}$

Step 2: Find Right-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0$

Step 3: Find Left-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^-} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ Since $\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)$ , then $\displaystyle \lim_{x \to 5} f(x) = DNE$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

2 years ago

Look at the figure, . Find the values of x and y. x = 5, y = 7 x = 6, y = 8 x = 6, y = 9 x = 7, y = 10

Colt1911 [192]

Answer:

x = 6, y = 9

Step-by-step explanation:

One of the properties of a parallelogram is

The diagonals bisect each other, hence

2x = y + 3 → (1)

2y = 3x → (2)

Rearrange (1) in terms of y by subtracting 3 from both sides

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (2)

2(2x - 3) = 3x ← distribute left side

4x - 6 = 3x ( add 6 to both sides )

4x = 3x + 6 ( subtract 3x from both sides )

x = 6

Substitute x = 6 into (3) for value of y

y = (2 × 6) - 3 = 12 - 3 = 9

Hence x = 6 and y = 9

5 0

3 years ago