Working together, Daniel and Donnie can clean the llama pen in 45 minutes. On his own, Daniel can clean the pen in an hour. How long does it take Donnie to clean the llama pen on his own?

The solution is : Option C, function is → f(x) = x + 2

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

From the table give in the picture,

Let the linear function represented by the table is,

f(x) = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of a line passing through two points (-2, 0) and (1, 3) will be,

m = y2 - y1 / x2 - x1

  = 1

Equation of the function will be,

f(x) = x + b

Since, a point (1, 3) lies on he given function,

3 = 1 + b

b = 3 - 1

b = 2

Therefore, function is → f(x) = x + 2

Option C will be the correct option.

To learn more on function click:

brainly.com/question/21145944

#SPJ7

complete question:

X f(x)

-2 0

5. Which function matches the function table at the right?

A. f(x) = x+3

B.f(x) = 2x

C.f(x) = x + 2

D. f(x) = 4x - 1

Pls help

Answer:

5/13

Step-by-step explanation:

Find the diagram to the question attached

Given the following considering angle A

Hypotenuse = 13 = AB

Opposite = 5 (side facing the angle A) = BC

Adjacent = 12

According to SOH CAH TOA;

Sin theta = opposite/hypotenuse

Sin(a) = BC/AB

Sin(a) = 5/13

Hence the value of sin(a) is 5/13

Answer: 20$

Step-by-step explanation: You would add 2(5)+10=y so 10+10=y 10 + 10 = 20

In this case (5,20). Hope this helps!!

Answer:

A

Step-by-step explanation:

Answer:

B ( -1, -8)

Step-by-step explanation:

A ( -7, -6)

midpt (-4, -7)

Equation:

(x + 3, y - 1)

Solve for B:

(-4, -7)

(x + 3, y - 1)

( -1, -8)

Answer:

[tex]\theta=30.285^{\circ}[/tex]

Step-by-step explanation:

The range of a projectile is given by :

[tex]R=\dfrac{u^2\sin2\theta}{g}[/tex]

Put R = 20 m, u = 15 m/s and finding the value of angle of projection

So,

[tex]R=\dfrac{u^2\sin2\theta}{g}\\\\\sin2\theta=\dfrac{Rg}{u^2}\\\\\sin2\theta=\dfrac{20\times 9.8}{15^2}\\\\\sin2\theta=0.871\\\\2\theta=\sin^{-1}(0.871)\\\\2\theta=60.57\\\\\theta=30.285^{\circ}[/tex]

So, the required angle of projection is equal to [tex]30.285^{\circ}[/tex].

Answer:

8km

Step-by-step explanation:

there are 4 unit between Gabe's house and the library so distance is 4×2=8km

Step-by-step explanation:

Since there are 4 people who answered that they had 0 number of scarves we put 4 0's in a set of numbers. Then we see that there are 2 people who have 1 scarf. so there are 2 1's and we keep on going down the line.

{0,0,0,0,1,1,2,3,3,4,5,5} there are 12 numbers here

so we add up all of them

1+1+2+3+3+4+5+5=24

then divide that number by 12 because that's how many numbers there are

24/12=2

The mean of the numbers is 2

Hope that helps :)

Answer: $70400

Step-by-step explanation:

Attached is the question:

Based on the information given in the question:

Value of Stock X = 5000 × $4.30 = $21500

Value of Stock Y = 2000 × $3.20 = $6400

Value of Stock Z = 8000 × $4.90 = $39200

Total Stock Value = $67100.

Since there's a 4.9% increase in value of index, the value of the index at end of the day will be:

= $67100 × (100% + 4.9%)

= $67100 × 104.9%

= $67100 × 1.049 =

= $70388

= $70400 approximately

Answer:

$70,400

Explanation:

Ap3x

Answer:

Answer is (a)

Step-by-step explanation:

Well I didn’t really do any work but you can tell right away theres a ton of slope options so you can’t eliminate from there, BUT when you look at the y-intercept, 3 is the only y-intercept option here and the only choice with the y-intercept of 3 is (a).

Answer: $10

Step-by-step explanation:

Let Josie's money be x

Since Joe has half as much as Josie. Joe's money will be: x/2 = 0.5x

Bob has four times as much money as Joe. Bob's money will be = (4 × 0.5x) = 2x

Therefore, we add all the amount together and equate to $35. This will be:

x + 0.5x + 2x = 35

3.5x = 35

x = 35/3.5

x = 10

Josie has $10

Answer:

x = 74°

Step-by-step explanation:

supplementary angle to 94° = 86°

x = 180° - 20° - 86° = 74°

Answer:

It is not factorable

Step-by-step explanation:

The expression is not factorable with rational numbers.

Answer:

This is not factorable.

Step-by-step explanation:

This is not factorable.

Answer:

2^9 (2 to the 9th power) = 512

Step-by-step explanation:

Since 2 is multiplied by itself 9 times, it can be represented as 2^9, which evaluates to 512.

Hopefully this helps - let me know if you have any questions!

Answer:

door?

Step-by-step explanation:

Or is it 2 windows?

The follow-ups to the Window Equation don't as a rule utilize the a additionally image and rises to sign, and are drawn by flipping one of the numbers.

1 + 1 = window

2 + 2 = fish

3 + 3 = eight

4 + 4 = arrow

5 + 5 = apple

6 + 6 = cherry

7 + 7 = triangle

8 + 8 = butterfly

Hope this helps!

Picture below: The steps and associated words showing how to complete the window symbol.

Answer:

9. A = Length by Width

Length = x

Width = 12x - 6y

A = x(12x - 6y)

A = 12x² - 6xy

10. A = ½bh

h = 2ab

A = ½(b)(2ab)

A = ab²

Answer:

A. 60 + x = 90

Step-by-step explanation:

Complementary angles add up to 90 degrees so

60 + x = 90

Answer:

The answer is A: 60 + x = 90

Step-by-step explanation:

Complimentary angles are two angles that add up to 90, so the equation 60 + x = 90 is what you need to use to find the complimentary angle. I hope this helps :)

Answer:

The answer is 126 square inches.

Step-by-step expalation

Answer:  x = √105

Step-by-step explanation:

a² + b² = c²

8² + x² = 13²

64 + x² = 169

x² = 105

x = √105

Answer:

11 upon 4 is your 6 upon 4 answer

Step-by-step explanation:

to find the area of a circle, it is pi times radius squared. so 1 times pi squared is pi^2 the area is 4 plus 2pi^2

Answer:

51 degrees

Step-by-step explanation:

As we already know that this triangle is a right triangle.

To find x, you need to subtract both angles.

90 - 39

= 51

Answer:

x = 17

Step-by-step explanation:

Area of a parallelogram:

A = bh

Given:

A = 153

b = 9

Work:

A = bh

h = A/b

h = 153/9

h = 17

Answer:

Step-by-step explanation:

X-intercept: y=0:

6x +2×0 = 12

6x = 12

 x = 2          

Y-intercept: x=0:

6×0 + 2y = 12

2y = 12

 y = 6      

Answer: 1/4

Step-by-step explanation: Probability is favorable outcomes/ all outcomes, to first choose a science book, the probability is 10/20, or one-half, and then to pick one again, is also 1/2, so you multiply them together to find the probability of both happening and you get 1/4!

Answer: x^2+5x-14

Step-by-step explanation:

2 and -7 are the roots of the polynomial then we have to write them as

 x=2 ,x=-7

To convert these as factors, we have to write them as

(  x-2) (x+7)

The product of those factors will give the polynomial. Because we have two factors, we will get a quadratic polynomial.

x^2+7x-2x-14

x^2+5x-14

Number of factors  =  Highest exponent of the polynomial

Answer:

y = x² + 5x - 14

Step-by-step explanation:

Given roots x = a, x = b, then the corresponding factors are

(x - a) and (x - b) and the polynomial is the product of the factors

y = (x - a)(x - b)

Here the roots are x = 2 and x = - 7, then the factors are

(x - 2) and (x - (- 7)) = (x + 7), so

y = (x - 2)(x + 7) ← expand using FOIL

y = x² + 5x - 14

Answer: B. (2,1)

Step-by-step explanation:

its not c because if you look at R you see that it is going 4,3 not 3,4 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then the x-axis.

It's not D because if you look at Q you see that it is going 3,5 not 5,3 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then x-axis.

That's the same thing for A so your answer is b.

Answer:

B.......................

Answer:

60 degrees

Step-by-step explanation:

Each triangle needs to add up to 180 total degrees.  70+50=120,

180

-

120

___

60