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3 years ago

(02.01 MC)

Mathematics

1 answer:

7nadin3 [17]3 years ago

6 0

The rule that represents the translation of hexagon DEFGHI to D'E'F'G'H'I' is (x+7,y-7).

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A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds? The subway travels _________. Plea

Tasya [4]

1.5 miles bc if you add them up and multiply you get 1.5 miles.

8 0

3 years ago

Read 2 more answers

Is f(x) continuous at x equals 4? Why or why not? A. No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit

soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

continuous at x=4? Why or why not? Choose the correct answer below.

Answer:

(D) Yes, f(x) is continuous at x = 4 because $Lim_{x \to 4}f(x)=f(4)$

Step-by-step explanation:

Given the function:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

A function to be continuous at some value c in its domain if the following condition holds:

f(c) exists and is defined.

$Lim_{x \to c}$ f(x)$ exists.

$f(c)=Lim_{x \to c}$ f(x)$

At x=4

$f(4)=\dfrac{1}{4}*4+1=2$

$Lim_{x \to 4}f(x)=2$

Therefore: $Lim_{x \to 4}f(x)=f(4)=2$

By the above, the function satisfies the condition for continuity.

The correct option is D.

3 0

3 years ago

How can you round 0.234 to the nearest hundredth?

zhenek [66]

Answer:

0.23 or 0.230

Step-by-step explanation:

You can round it by looking at the hundredths place.

Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.

6 0

3 years ago

Read 2 more answers

Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

Varvara68 [4.7K]

Answer: $56,900\left( 0.919\right)^x$

Step-by-step explanation:

Given

Marcos purchased a sailboat for $\$56,900$

Each year the boat will decrease in value by $8.1\%$

After 1 year it is

$\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\$

after another year it becomes

$\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2$

After $x$ years it is

$\Rightarrow 56,900\left( 1-0.081\right)^x$

$\Rightarrow 56,900\left( 0.919\right)^x$

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3 years ago

The cities Youngstown, Prairieville; and Dorchester, in respective order, lie approximately in a straight line. The distance fro

kobusy [5.1K]

213 - 102 = 111 miles from Praireville to Dorchester

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3 years ago