A. Plot the data for the functions f(x) and g(x) on a grid (SHOWN ABOVE)
B. Identify each function as a linear, quadratic, or exponential, and uses complete sentences to explain your choices.
C. Describe what happens to the function values in each function as x increases from left to right.
D. At what value(a) of x are the function values equal? If you cannot give exact values for x, give estimates.

Answer:

1 hour

Step-by-step explanation:

The lion's speed is 1 sheep / 2 hours = ½ sheep/hour.

The wolf's speed is 1 sheep / 3 hours = ⅓ sheep/hour.

The dog's speed is 1 sheep / 6 hours = ⅙ sheep/hour.

Their combined speed is ½ + ⅓ + ⅙ = 1 sheep/hour.

So working together, it will take them 1 hour to eat 1 sheep.

Answer:

1 hour

Step-by-step explanation:

1/2 + 1/3 + 1/6 = 1

Answer:

q .no d

Step-by-step explanation:

64p^3+125

4p^3+ 5^3

(4p+ 5 ) ( 4p^2- 4p *5 + 5^2)

(4p+5) (16p- 20p+ 25)

Answer:

The answer is

Step-by-step explanation:

64p³ + 125

Write the number in exponential form of 3

That's

4³p³ + 5³

Multiply the terms

That's

(4p)³ + 5³

Using the formula

Factor the expression

That's

( 4p + 5 )[ (4p)² - 4p(5) + 5²) ]

Solve the terms in the bracket

We have the final answer as

Hope this helps you

Step-by-step explanation:

[tex]diameter \: = \sqrt{ { 24}^{2} + {7}^{2} } = 25 [/tex]

[tex]shaded \: area \: = circle - tringle[/tex]

[tex]shaded \: area = ( \frac{\pi}{4} \times {25}^{2} ) - ( \frac{1}{2} \times 7 \times 24)[/tex]

[tex]shaded \: area \: = (490.6) - (84) = 406.6 \: = 407 \: {cm}^{2} [/tex]

Answer:

Step-by-step explanation:

Given that f(x) = 3x + 21

Plug in 3 for x

F(3)= 3(3) +21

F(3) = 9+21

f(3) = 30

Plug in 7 for x

F(7)= 3(7) +21

F(7) = 21+21

f(7) = 42

Answer:

  A) 2 m/s

Step-by-step explanation:

The ball increases from its thrown height of 3 meters to its maximum height of 7 meters in 2 seconds. That's an average rate of increase of ...

  (4 m)/(2 s) = 2 m/s

The average rate of change of height is 2 meters per second.

Answer:  2m/sec

Step-by-step explanation:  From the graph we see that the ball went from 3 meters to 7 meters, a difference of 4m.  It took 2 seconds to reach that height.

The average is found by dividing 4m/2sec

The result is 4m/sec

Answer:

Step-by-step explanation:

Rad [0,2[tex]\pi[/tex]]

f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)

--[cos(x)-1/2]²+5/4=f(x)

when cos(x)=1/2,the f(x) has Max=5/4

cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)

Answer:

12 units

Step-by-step explanation:

Notice that as we go from Q to R, x (the horizontal distance) increases by 12 and y (the vertical distance) does not change.  Thus, the distance between the two points is merely the horizontal distance, 12 units.

Answer:

x = 4√3

y = 8√3

Step-by-step explanation:

This is a special 30° 60° 90° right triangle

In this special triangle if the side length that sees 30° is represented by x and the side length that sees 90° is represented by 2x and the side length that sees 60° x√3

Here, the side length that sees 60° is given as 12

12 = x√3 and x = 4√3 therefore y is 8√3

Answer:

8 dimes and 10 quarters

Step-by-step explanation:

Answer:

8 quarters and 10 dimes

Step-by-step explanation:

8 quarters = $2 + 10 dimes = $1 = 18 coins and $3

Answer:

1/3

Step-by-step explanation:

The slope of the line is found by

m = (y2-y1)/(x2-x1)

we have two point ( 0,0) and ( 3,1)

   = ( 1-0)/( 3-0)

   = 1/3

Answer:

irrational

Step-by-step explanation:

If a square root is not a perfect square, then it is considered an irrational number.

The square root of the number 34 is not a rational number

From the question, we have the following parameters that can be used in our computation:

The square root of the number 34

When evaluated, we have

The square root of the number 34 = √34

So, we have

The square root of the number 34 = 5.83.....

The above number cannot be represented by the quotient of 2 integers

Using the above as a guide, we have the following:

We can conclude that the number is an irrational number

Read more about rational number at

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Answer:

1)

[tex]\text{ Slope = -3}[/tex]

2)

[tex]y+4=-\frac{7}{8}(x-7)[/tex]

3)

[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

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

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

[tex]m=\frac{3-(-4)}{-1-7}[/tex]

Subtract. So, our slope is:

[tex]m=\frac{7}{-8}=-7/8[/tex]

2)

Now, let's use the point-slope form:

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

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

[tex]y-(-4)=-\frac{7}{8}(x-7)[/tex]

Simplify. So, our point-slope equation is:

[tex]y+4=-\frac{7}{8}(x-7)[/tex]

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

[tex]y+4=-\frac{7}{8}x+\frac{49}{8}[/tex]

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

[tex]y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}[/tex]

Subtract. So, our slope-intercept equation is:

[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]

And we're done!

Answer: Shown Below

Step-by-step explanation:

1. -7/8

2. y+4= (-7/8)(x-7)

3. y=(-7/8)x+ (17/8)

Just did it

Answer:

227.5

Step-by-step explanation:

D=ST so X= 65 x 3.5 = 227.5 miles

D=Distance = x

S=Speed = 65

T=Time = 3.5

Answer:  ln5 - ln2 ≈ 0.919

Step-by-step explanation:

[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]

Let u = x² + 1    →    du = 2x

[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]

Substitute u = x² + 1

[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]

Answer:

A is right its acute angle

Step-by-step explanation:

because supplementary is 180

therefore A +B = 180

since we know A

B = 180- A

B = 73

which is an acute angle as its less than 90

pls mark me brainliest pls

Answer:

Step-by-step explanation:

(a) Acute

A=107 deg

B=?

given A+B=180

=> B=180-A

      = 180-107

      = 73

SO, B is an acute angle.

Answer:

22-26: frequency = 3

27-31: frequency = 4

32-36: frequency = 5

37-41: frequency = 3

42-46: frequency = 4

Answer:

2. x = -16       y = -10.5

3. x = 4

4. x = 3         y = 2/9 or 0.2222222222222...

Step-by-step explanation:

2.

in my stategy, you plus -5x + 8y = -4 with 6x - 8y = -12

+8y and -8y could delete each other, then y will be gone.

-5x + 6y = 1x = x because -5 + 6 = 1

so then you could got x = (-4) + (-12) which means x = -16

if x = -16 that will then means

(-5) x (-16) + 8y = -4

80 + 8y = -4

8y = -4 - 80

8y = -84

y = -10.5

3.

This question has already given you that y = -5

that means,  3x + 6 × (-5) = -18

3x + -30 = -18

3x = -18 - (-30)

3x = 12

x = 4

4.

Like the 2. qestion, you first plus the 2 equation together,

+9y + -9y = 0

-7x + 4x = -3x

-19 + 10 = -9

than means

-3x = -9

x = 3

then put the x = 3 in one of the equation.

4 x 3 - 9y = 10

12 - 9y = 10

-9y = 10 - 12

-9y = -2

-7 x 3 + 9y = -19

-21 + 9y = -19

9y = -19 + 21

9y = 2

y = 2/9 or 0.2222222222...

Wish this could help you!

Answer:

Step-by-step explanation:

FIRST ,

ADD BOTH EQUATIONS

THEREFORE X=-16 , Y =-21/2

SECOND,

SUBSTITUTE Y=-5 IN EQN.1

THEREFORE X= 4 , Y=-5

THIRD ,

ADD BOTH EQUATIONS

THEREFORE X= 3 , Y= 2/9

MARK ME AS BRAINLIEST PLS...........................................

Answer:

how many feet of fencing does he have?

\

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation

I am guessing you mean (x-y)^4 and this expanded is [tex]x^4+4x^3y+6x^2y^2+4xy^3+y^4\\[/tex] and the first three coefficients are 1,4,6

The required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.

Given that,
To determine the coefficients of the first three terms in the expansion of (x – y)⁴.

The coefficient is defined as the number present former to any variable is called a coefficient.

Here,
[tex]\left(x-y\right)^4=\quad x^4-4x^3y+6x^2y^2-4xy^3+y^4[/tex]
First three coefficients from the above equation,
= 1, -4 and 6

Thus, the required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.

Learn more about coefficients here:
https://brainly.com/question/27481600

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Answer: 40 degrees

Step-by-step explanation:

Since the rectangle is 90 degrees and we know that the line is 180 degrees if u add 90 and 50 it becomes 140. Now u subtract from 180 to get 40 hope that helps and is a correct answer :)

Answer:

it is D. 5

Step-by-step explanation:

The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A

Answer:

[tex]\boxed{Shortest\ Leg = 5}[/tex]

Step-by-step explanation:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Where θ = 60 , opposite = [tex]5\sqrt{3}[/tex] and adjacent = shortest leg

=> Tan 60 = [tex]5\sqrt{3}[/tex] / shortest leg  (Tan 60 = √3)

=> Shortest Leg = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex]

=> Shortest Leg = 5

Answer:

A: the graph will cross the x-axis

Answer:

A: the graph will cross the x-axis

Step-by-step explanation:

Answer:

.06x

Step-by-step explanation:

So 20 percent of x has to first be represented. So would do .2x. So then we have to find 30% of that number. So we multiply .2x*.3 and we get 0.06x.

I believe this is correct but tell me if I'm wrong

Answer:

0.06x

Step-by-step explanation:

.2x*.3=0.06x

Answer:

x = 4

Step-by-step explanation:

To solve this equation, first you want to write the whole thing out.

32x - 1 = 243

Next you want to get the variable by itself, so you are going to use inverse operations. in the equation, it is 32x - 1, so you are going to add one to both sides, getting you this:

32x = 244

Now for the final step you are going to get x alone, so you are going to use inverse operations once more and divide 32 on both sides getting you your answer.

x = 4

Now if you want to check your work simply plug in x, and if it is equal, you got the correct answer!

I hope this helped and good luck with your math!

I'm really sorry if I'm wrong though, even though I already finished this unit a while ago I struggled on this one even though it is so easy compared to the equations I have now.

Answer:

x=3

Step-by-step explanation:

Answer:

8sqrt(2)

Step-by-step explanation:

An isosceles is a triangle with 2 45 degree angles and one 90 degree angle.

if the hypotenuse side=4sqrt(2) than that means the other 2 sides have to be just 4 units.

the formula for a triangle is than (base×height)÷2

4×4sqrt(2)=16sqrt(2)

(16sqrt(2))/2=8sqrt(2)

Answer:

19.595 units²

Step-by-step explanation:

Find length of other sides:

An isosceles triangle has 2 sides equal. It has two 45 degrees angles and one  90 degrees angle. We can use Pythagorean theorem.

[tex](4\sqrt{2} )^2 =a^2 +a^2[/tex]

[tex]32 =2a^2[/tex]

[tex]16=a^2[/tex]

[tex]4=a[/tex]

The 2 equal sides measure 4 units.

Find area:

base × height × 1/2

The height can be found by Pythagorean theorem.

height² = 4² + 4sqrt(2)²

height²  = 16 + 32

height² = 48

height = 6.928

base is given

4sqrt(2) × 6.928 × 1/2

= 19.595343

Answer:

114

Step-by-step explanation:

if,

24inches=72cents

38inches=?

we cross multiplication,

38times72=2736 divide with 24=114

The answer is114

Answer:

114............

Step-by-step explanation:

Answer:

Triangle P and Triangle Q are mathematically similar shapes (?).

Step-by-step explanation:

Hi, so the question asks which statement is true, given the following information, but you haven't written what statements we can choose from.

After reading the information, we can see that Triangle Q is the same shape as Triangle P but just larger.

I'm assuming that one of the statements given is about Triangle P and Triangle Q being mathematically similar shapes?

If you need to show your working out, here it is:

18 ÷ 6 = 3

24 ÷ 8 = 3

30 ÷ 10 = 3

All the angles are the same.

This means that the length scale factor is +3 from Triangle P to Triangle Q, the area scale factor is +9 (because 3 x 3 = 9) from Triangle P to Triangle Q, and that the two shapes are mathematically similar.

*DISCLAIMER* The majority of question askers on Brainly seem to be from the US, and I'm not, so the way I work things out / the mathematical terms I use might be different. Sorry!

Hope this helped anyway!

Bluey :)

Answer:

It's c

Step-by-step explanation:

already did this

Answer:

x ≈ 15.59

Step-by-step explanation:

We need to use the Pythagorean Theorem to solve for x. The equation for that is a^2 + b^2 = c^2. Side a is 9. Side b is x. Side c is 18 and 18 is also the hypotenuse. Let's solve for x(side b):

a^2 + b^2 = c^2

9^2 + x^2 = 18^2

81 + x^2 = 324

Subtract 81 from both sides to get x^2 alone on one side.

x^2 = 243

Square root both sides to isolate x.

x = 9sqrt3)

x ≈ 15.59

Answer:

4.5 hours

Step-by-step explanation:

Total number of boxes = 192

84 boxes = 3.5 hours

Remaining boxes = (192 - 84) = 108 boxes

84 boxes = 3.5 hours

1 box = (3.5 ÷ 8) hours

108 boxes = 3.5 × 108/84

108 boxes = 4.5 hours  (Answer)

Answer:

4.5 hours! The person above me is is correct.

Step-by-step explanation: