Round 16.748 to the nearest tenth

Answers

Answer 1

Answer: When you are rounding to the nearest tenth, you look at the number beside the number in front of the decimal. It is lower than so you would not change any numbers and drop the numbers after. The answer is 16.7

Answer 2

Answer: 16.7000 is the anwser

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Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?

Answers

Answer:

reflection over the x-axis and a vertical compression by a factor of 8

Step-by-step explanation:

The parent function is given as

$f(x) = x$

The transformed graph has equation:

$g(x) = - 8f(x)$

The factor of 8, indicates a vertical stretch.

The negative sign indicates a reflection in the x-axis.

Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.

Answer: shrunk vertically over the y axis

Step-by-step explanation:

Write the general equation for the circle that passes through the points: (0, 0)
(6, 0)
(0, - 8)
You must include the appropriate sign (+ or -) in your answer. Do not use spaces in your answer.
x^2 + y^2 ____ x ____ y = 0

Please Help!

Answers

Answer:

$x^(2) + y^(2) -6x+8y= 0$

Step-by-step explanation:

The general equation of the circle is of the form:

$x^(2) + y^(2) +2gx+2fy + c= 0$

The circle passes through the point (0,0), this means replacing x = 0 and y = 0 must satisfy the equation Using these values, we get:

$0^(2) +0^(2)+2g(0)+2f(0)+c=0\nc=0$

This means value of c is zero for the given circle. So, now the equation of the circle is:

$x^(2) + y^(2) +2gx+2fy= 0$

Now using the point, (6, 0) in this equation, we get:

$6^(2)+ 0^(2)+2g(6)+2f(0)=0\n36+12g=0\n36=-12g\ng=-3$

Hence the value of g is -3, using the value of g and c in our equation, the equation becomes:

$x^(2) + y^(2) -6x+2fy= 0$

Now using the 3rd point (0, -8) in this equation to find the value of f:

$0^(2)+ (-8)^(2)-6(0)+2f(-8)=0\n64-16f=0\n64=16f\nf=4$

Using the value of g, f and c, the final equation of the circle is:

$x^(2) + y^(2) -6x+8y= 0$

1. You live in Raleigh and plan to fly to Ottawa, Canada where the fishing is really good. It is 1,345 km. You book a non-stop flight for the two of you. If the jet flies 450 miles per hour, how long is your flight?

Answers

It takes 2 hours for the flight to reach Canada

Solution:

Given that You live in Raleigh and plan to fly to Ottawa, Canada

Distance is 1345 km

The jet flies 450 miles per hour

To find: Time taken to reach Canada

The time taken is given by formula:

$Time = (distance)/(speed)$

From given,

Distance = 1345 km

Convert to miles

1 km = 0.621371 miles

Therefore,

1345 km = 835.7443 miles

Substituting in formula, we get,

$Time = (835.7443)/(450)\n\nTime = 1.8572 \approx 2$

Thus it takes 2 hours for the flight to reach Canada

What property is 5x6x7=5x7x6

Answers

Commutative Property

The property of 5x6x7=5x7x6 gives the answer of 210.

Solve the linear inequality −6x+12>24

Answers

24∠-6x+12
-12 -12

12∠-6x
---- ----
-6 -6

x∠-2

Equivalent to log3(x+4)

Answers

the equivalent expression of this would be log3 + log(x+4) because we know log(AB) = log(A) + log(B). to see why this is true, check out the attachment.

Let me know if you have any questions!

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