while camping with her family, morgan took her puppy to the river. the river has a current of 27 feet per minute. The puppy paddled upstream at a rate of 44 feet per minute (in still water) for 8 minutes. How many feet did the puppy swim?

Answer:

When we have a given function, y = f(x), the general way of graphing the function is finding a lot of coordinate pairs (x, f(x)) and graphing them in a coordinate axis, and then connect them.

So here we have:

p(x) = 2x^(3)+7x^(2)-3x-18

Just let's find the value of p(x) for different values of x, and let's do it.

p(0) = 2*0^(3)+7*0^(2)-3*0-18 = -18

Then the point (0, -18) belongs to the graph

p(1) = 2*1^(3)+7*1^(2)-3*1-18 = 2 + 7 - 3 - 18 = -12

then the point (1, - 12) belongs to the graph.

p(-1) =  2*(-1)^(3)+7*(-1)^(2)-3*(-1)-18  = -2 + 7 + 3 - 18 = -10

then the point (-1, -10) belongs to the graph:

p(2) =  2*2^(3)+7*2^(2)-3*2-18 = 16 + 28 - 6 - 18 =  20

Then the point (2, 20) belongs to the graph

p(-2) =  2*(-2)^(3)+7*(-2)^(2)-3*(-2)-18 = -16 + 28 + 6 - 18 = 0

Then the point (-2, 0) belongs to the graph.

p(-3) =  2*(-3)^(3)+7*(-3)^(2)-3*(-3)-18 = -54 + 63 + 9 - 18 = 0

Then the point (-3, 0) belongs to the graph.

Now that we have 6 points we can graph them and try to connect them.

We also know that this is a cubic polynomial, so we can expect that it changes its direction two times (no more than that) then knowing that we can estimate a shape for the graph, and you will obtain something like the graph of the image below, where I just connected the known points.

Answer:

43

Step-by-step explanation:

we have two rectangles so we will divide them into 2.

first rectangles is 7m and 4m. 7 x 4 = 28

2nd rectangles is 3m and 5m 3 x 5 = 15

15 + 28 = 43.

Answer:

2/3

Step-by-step explanation:

Answer:

(x.y)----> (x-3, y-3)

Step-by-step explanation:

Answer:

Flexibility: Stretching

Endurance: Being able to dance for periods of time

Given:

The graph of a function.

To find:

The average rate of change of h over the interval [tex]5\leq t\leq 9[/tex].

Solution:

The average rate of change of a function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

So, the average rate of change of h over the interval [tex]5\leq t\leq 9[/tex] is:

[tex]m=\dfrac{h(9)-h(5)}{9-5}[/tex]

From the given graph it is clear that [tex]h(9)=7,h(5)=3[/tex]. Substituting these values, we get

[tex]m=\dfrac{7-3}{9-5}[/tex]

[tex]m=\dfrac{4}{4}[/tex]

[tex]m=1[/tex]

Therefore, the average rate of change of h over the interval [tex]5\leq t\leq 9[/tex] is 1.

Answer:

w^2 -18w + 81

Step-by-step explanation:

Simply, what we have to do here is to divide the coefficient of w by 2, then square it

we have this as -18/2 = -9

Squaring is -9^2 = 81

Given:

Consider the given expression is:

[tex]\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}[/tex]

By using the quotient property of exponents, we get

[tex]=x^{4-2}y^{-4-(-2)}z^{-2-4}[/tex]              [tex]\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right][/tex]

[tex]=x^{2}y^{-4+2}z^{-6}[/tex]

[tex]=x^{2}y^{-2}z^{-6}[/tex]

By using negative exponent property, we get

[tex]=\dfrac{x^{2}}{y^{2}z^{6}}[/tex]           [tex]\left[\because a^{-n}=\dfrac{1}{a^n}\right][/tex]

The simplified form of the given expression is [tex]\dfrac{x^{2}}{y^{2}z^{6}}[/tex].

Therefore, the correct option is B.

Answer:

For #7, the answer is 30.3 yd

For #8, the answer is 32.34 in

For #9, the answer is 56.26 ft

Explanation: The formula for an area of a parallelogram is ( A=bh)

Hope that helped!!

Answer:

∠ A = 70°

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary, then

∠ A + ∠ Q = 180°

∠ A + 110° = 180° ( subtract 110° from both sides )

∠ A = 70°

Answer:

20 is right

Step-by-step explanation:

to easy I know maths

Answer:

When your comparing the two functions.

F(x)= 1/50(3)^x

G(x)=1/5x^2

When you compare it i think it would be C

PLEASE DONT QUOTE ME ON THIS

Step-by-step explanation:

Answer:

Evelyn's dance class on Saturday starts at 11:05 A.M.

Step-by-step explanation:

I know this because if her class takes an hour and 40 minutes you would subtract the hour and 40 minutes from 12:45 so you could do 12 - 1 which equals 11. Then you would do 45 - 40 which equals 5. And last you would put the new times together so it would be, 11:05. Her dance class starts at 11:05 A.M.

Answer:

m=-4,-2

Step-by-step explanation:

Hi there!

What we need to know:

1) Rearrange the given equation into standard form

This will help us determine the a, b and c values.

[tex]m^2+6m=-8[/tex]

Add 8 to both sides

[tex]m^2+6m+8=0[/tex]

Now, we can see that a=1, b=6 and c=8.

2) Plug a, b and c into the quadratic formula

[tex]m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2[/tex]

I hope this helps!

Answer:

box b 0.03

Step-by-step explanation:

i divided and got 1 ounces each

Answer:

sksjdkddudjdjn sjjdkdls

Answer:

Therefore, we have to round down: the whole number ones place value of 15.403, 15, remains 15, and the decimal point and all digits (.403) are removed.

Answer:

Tisco

Step-by-step explanation:

Answer:

The mode is the number that appears the most in a data set, therefore the mode is $4 since it is the only number appearing twice

Answer:

4

Step-by-step explanation:

Answer: d.

2x + x = 180: 60°and 120°

Step-by-step explanation:

Let x= one of the supplements.  (smaller)

As per given , measure of second angle = 2x

We know that,

The sum of two supplements = 180 degrees

Then,

smaller angle + larger angle =180°

i.e. x+2x = 180°

3x= 180°

x=60°

then, 2x = 2 (60°) = 120°

hence, the correct option is d.

2x + x = 180: 60°and 120°

Step-by-step explanation:

y = x + 2

X. Y

3. 5

4. 6

5. 7

6. 8

Based on this table, the graph that best represents the table is the one on the right.

Answer:

For the triangle, its area is 32.1 inches.

For the trapezoid, its area is 170 feet.

Step-by-step explanation:

The formula for finding the area of a triangle is A = h * b/2, where h is for height and b is for base. There seems to be two measurements at the base of the triangle so what I did is I added together 3.5 and 7.2 and got 10.7. The slant measurement of the triangle isn't important in this formula so just pretend 5.5 in isn't there. Multiply 10.7 (base) to 6 (height) and you'll get 64.2. Now divide the product by 2 and you'll get 32.1 inches as the area of the triangle.

The formula for finding the area of a trapezoid is A = ((a + b)/2)h, where a is base A, b is base B, and h is the height. This formula looks a bit complicated but if you know a bit of PEMDAS, then you'll understand the formula. Again, there are two measurements at the base of the trapezoid but simply, I added them to get 24 and the slants don't make any use for this formula either. Add 10 (base A) and 24 (base B) to get 34. Now divide 34 by 2 and you'll get 17. Finally, multiply the product to 10 (height) and you'll get 170 feet as the area of the trapezoid.

If you don't know PEMDAS, just comment something related to "Can you explain what PEMDAS is?" or "What is PEMDAS?" and I will answer your question as quick as I possibly can. I hope this helps!

Answer:

[tex](a)\ y = 2x +8[/tex]

[tex](b)\ y = 0[/tex]

[tex](c)\ y = -5[/tex]

Step-by-step explanation:

Given

[tex]y = x^2[/tex]

First, graph [tex]y = x^2[/tex] (See attachment)

We are not limited to any particular linear equation; as long as we meet the required condition

Solving (a): Equation of a line that intersects [tex]y = x^2[/tex] at two points

Select any two points on opposite sides of the curve

The selected points are:

[tex](x_1,y_1) = (-2,4)[/tex]

[tex](x_2,y_2) = (4,16)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{16 - 4}{4 - -2}[/tex]

[tex]m = \frac{12}{6}[/tex]

[tex]m = 2[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 2(x - -2) + 4[/tex]

[tex]y = 2(x +2) + 4[/tex]

Open bracket

[tex]y = 2x +4 + 4[/tex]

[tex]y = 2x +8[/tex]

Solving (b): Equation of a line that intersects [tex]y = x^2[/tex] at one point

A good illustration of this is x-axis

Because it intersects with the line at just one point, which is origin (0,0).

The equation of line at this point is:

[tex]y = 0[/tex]

Solving (c): Equation of a line that does not intersect [tex]y = x^2[/tex]

Here, we make use of any horizontal line below the x-axis

Select any two horizontal points below the x-axis

[tex](x_1,y_1) = (-5,-5)[/tex]

[tex](x_2,y_2) = (5,-5)[/tex]

Calculate slope

[tex]m = \frac{-5--5}{5--5}[/tex]

[tex]m = \frac{0}{10}[/tex]

[tex]m = 0[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 0(x - -5) + (-5)[/tex]

[tex]y = 0-5[/tex]

[tex]y = -5[/tex]

Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry.

Hope it helps

-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀

Answer:

Step-by-step explanation:

rotten oranges=10/100*20

200/100

2 dozen

good oranges=total dozen-rotten oranges

20-2

18 d0zen were good oranges.

Answer:

3 terms

Step-by-step explanation:

There are three terms in the expression "4xy + 3xy + 2".

The terms are: 4xy, 3xy, and 2.

4xy and 3xy are variables while the 2 is a constant.

Answer:

3 terms!

Step-by-step explanation:

the numbers are called terms just remeber that and it will be easy.

Answer:

[tex](2b + 12) \div 2 = (b + 6)[/tex]

Answer:

b+6

Step-by-step explanation:

1. (2b+12)/2

2. 2*(b+6)/2

3. 2/2 = 1

4. b+6 is what is left

Answer:

8.5

Step-by-step explanation:

The perimeter is the distance around the figure. It can be found by adding up the side lengths of all of the sides of the figure. In this case, one is given the perimeter (71.4), and all of the side lengths except one. Make an equation; call the unknown side (x), then solve for (x).

71.4 = 8.3 + 4.4 + 4.4 + 4.4 + 4.4 + 2.7 + 2.7 + 4.4 + 4.4 + 11.4 + 11.4 + x

Simplify,

71.4 = 62.9 + x

Inverse operations,

8.5 = x