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Answers

Answer 1

Answer: The area would be 24 in. because to find the area of a triangle you need to multiply the height by the base then divide it by 2 and you get your answer.
6*8=48
48/2=24
Hope this helps.

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Discontunuity of f(x) = x^2 plus 2x over x plus 2

Answers

Answer:

When we have a function like:

$f(x) = (g(x))/(h(x))$

This function will have a discontinuity only if it diverges, and a divergence can happen when the denominator is equal to zero and the numerator is different than zero.

In this case, we have the equation:

$f(x) = (x^2 + 2*x)/(x + 2)$

Here the denominator is:

h(x) = x + 2

This is equal to zero when:

x + 2 = 0

x = -2

Now we need to see what happens with the numerator when x = -2

g(-2) = (-2)^2 + 2*(-2) = 0

Is equal to zero.

Then we need to see the limit when x -> -2, and use the L'Hopital theorem.

$\lim_(x \to \ - 2) (x^2 + 2*x)/(x + 2)$

Because we have zero over zero at that point, we need to look at the quotients of the derivatives of both numerator and denominator.

$\lim_(x \to \ - 2) (2*x+ 2)/( 2) = (2*-2 + 2)/(2) = -1$

Then the function does not diverge, then the function has no discontinuity.

We also could look at the graph of f(x) to see it:

Our function is a linear function, and this is because the numerator is x times the denominator, then the function is:

f(x) = x.

What is the answer to this math problem 40+40x0+1=

Answers

using pemdas
we multiple 40*0=0
40+0+1
=41

Answer:

40+40*0+1=

40*0=0

0+40+1=

If p varies directly with q, and p = 10 when q = 5, what is the value of p when q = 20? A.p = 40

B.p = 1

C.p = 100

D.p = 28

Answers

A. p=40 because if you look at your question carefully q is half of p so if q=20 which is half of 40 then that means p=40

A fisherman can row upstream at 4mph and downstream at 6mph. He started rowing upstream until he got tired and then started downstream to his start point. How far did the fisherman row if the trip took 3 hours?

Answers

Answer:

Fisherman traveled 14.4 miles.

Step-by-step explanation:

A fisherman's downstream speed = 6 mph

and upstream speed = 4 mph

Let the fisherman traveled x miles he travels upstream.

Time spent in travelling x miles = $(x)/(4)$ hours [Since time = $\frac{\text{distance}}{\text{speed}}$ ]

Similarly when fisherman covers x miles down stream

Time spent in x miles = $(x)/(6)$ hours

Now total time in going upstream and downstream is 3 hours then

$(x)/(4)+(x)/(6)=3$

x $((3+2)/(12))=3$

$((5x)/(12))=3$

5x = 12×3

5x = 36

x = $(36)/(5)=7.2$ miles.

Since fisherman has traveled 2x distance so the answer will be 14.4 miles

Therefore, fisherman traveled 14.4 miles.

total time = upstream time + downstream time
he rowed the same distance both ways.
upstream time = D/4
downstream time = D/6
total time = D/4 + D/6 = 3D/12 + 2D/12 = 5D/12 = 3 hours
D = 3*12/5 = 36/5 or 7.2 miles
where D is the one-way distance. The total distance he rowed is 2*D = 72/5 or 14.4 miles

How do I solve this?

Answers

Answer:

Step-by-step explanation:

2•3=6 +2=8 8 squared is 8•8 which is 64. This problem is quite simple.

Answer:

X=3

Step-by-step explanation:

Step 1: Find the square root of 64

since there is an exponent of 2 around your paranthesis, you must get rid of that first, by finding the square root of the first part of the equation and 64. then you will have (2x+2)=8

Step 2: Subtract 2

next subtract 2 from both sides of the equation, and you will have 2x=6

Step 3: divide by 2

lastly, divide each side by 2. you will get x=3

James regular r pay is 12 dollars an hour plus time and a half how much is his pay for 40hrs regular time and to hours overtime

Answers

Regular pay: $12/hour

Time and a half: $12/hour * 1.5 = $18/hour

40 hours * $12/hour + 2 hours * $18/hour = $480 + $36 = $516

Answer: $516

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A railroad tunnel is shaped like a semiellipseThe height of the tunnel at the center is 58 ft and the vertical clearance must be 29 ft at a point 21 ft from the center. Find an equation for the ellipse.