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Natasha2012 [34]
3 years ago
15

Help immediately!!!!! What is the average rate

Mathematics
2 answers:
Snezhnost [94]3 years ago
6 0

Answer:

the average rate of change is 4

Step-by-step explanation:

Akimi4 [234]3 years ago
4 0

Answer:

4

Step-by-step explanation:

1. Information

Another word for the average rate of change is the slope. The question is essentially asking, what the slope is over the interval of [3, 4]. Hence, one will use the following points, that are on this given function;

(3, -5), (4, -1)

One must also know that the formula for slope is;

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

2. Solving

Input the given points into the formula and solve.

\frac{(-1)-(-5)}{(4)-(3)}

\frac{-1+5}{1}

\frac{4}{1}

4

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Two ships leave a harbor together, traveling on courses that have an angle of 135°40' between them. If they each travel 402 mile
mario62 [17]

Answer:

Therefore they are 734.106 miles apart.

Step-by-step explanation:

Given that ,

Two ships have a harbor together. The angle between two ships  is  135°40'. Each of two ships travel 402 miles.

It forms a isosceles triangle whose two sides are 402 miles and one angle is 135°40'. Since it is isosceles triangle then other two angles of the triangle is equal.

Let ∠B= 135°40', and AB = 402 miles , BC =  402 miles

Then the distance between the ships = AC

We know

The sum of all angles = 180°

⇒∠A+∠B+∠C=180°

⇒∠A+135°40'+∠C=180°

⇒2∠A= 180°- 135°40'      [ since ∠A=∠C]

⇒2∠A=44°60'

⇒∠A= 22°30'

Again we know that,

\frac{AB}{sin\angle C}=\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Taking last two ratio,

\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Putting the value of BC , AC ,∠A,∠B

\frac{402}{sin 22^\circ30'}=\frac{AC}{sin 135^\circ40'}

\Rightarrow AC=\frac{402 \times sin135^\circ40'}{sin 22^\circ30'}

         ≈734.106 miles

Therefore they are 734.106 miles apart.

3 0
3 years ago
[ Let f ( x ) ] = [ 3 x 2 + 2 x ] , [ g ( x ) ] = [ 3 x + 9 ] , [ h ( x ) ] = [ 12 + x ] , [ What is f ( g ( 3 ) ) ? ] [ Let f (
Pachacha [2.7K]

Answer:

The value of f(g(3) =  1,008

Step-by-step explanation:

<u>Step:-1</u>

Given f(x) =3 x ^ 2 + 2 x

and g(x) = 3x+9

      h(x) = 12+x

Given g(x) = 3x+9

  put x =3

      g(3) = 3(3)+9

      <u>  g(3) = 18</u>

<u>Step :-(2)</u>

f(g(3)) = f(18)

f(g(3) = 3(18)^2 +2(18) (since f(x) =3 x ^ 2 + 2 x)

        = 1,008

<u>Final answer</u>:-

The value of f(g(3) =  1,008

8 0
3 years ago
A catalog has a scale drawing of a floating dock. The dock is a regular octagon attached to a rectangular walkway. The scale dra
gtnhenbr [62]

Answer: 5 feet.

Step-by-step explanation:

Remember that the lenghts of the sides of a regular octagon are equal.

You can observe in the figure that the lenght of a side of the regular octagon is 1.25 inches.

Let be "s" the actual length of a side of the regular octagon.

Knowing that the scale drawing has a scale of 1 inch 4 feet, you can find the actual lenght of a side of this regular octagon with:

s=\frac{(1.25in)(4ft)}{(1in)}\\\\s=5ft

Therefore, the actual length of a side of the octagon is 5 feet.

6 0
3 years ago
the amount of interest earned in a savings account varies directly with the amount of maney saved. if $126 in intrest is earned
Mashcka [7]
2,000 + 1,000 = 3,00 so you would have $2,000 more to get to 3,000
3 0
3 years ago
petes pizza charges $13 for a pizza, and a soda costs $1.50. Mamas house charges $15 for a pizza, and a soda $1. write an expres
Mademuasel [1]
13 +13 = 26 for pizza  2 sodas = 3.00.  Total bill:  $29.00
mamas 15 + 15 = 30  soda= 2.  Total bill:  $32.00
3 0
3 years ago
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