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liberstina [14]
4 years ago
8

Jimmy and Rick are practicing knot-tying for their rock climbing training. The number of knots that Jimmy can complete in x days

is modeled by the function f(x) = 6x + 10, and the number of knots Rick can complete in x days is modeled by the function g(x) = 4x + 15.
After x days, the function that models how many more knots Jimmy can complete than Rick is given by h(x) =

Mathematics
2 answers:
Alex4 years ago
8 0

Answer:

see attachment below

UNO [17]4 years ago
5 0
H(x) = 2x-5
To find the difference or the amount more that Jimmy can do we subtract the two polynomials.
f(x)-g(x)
substitute
(6x+10) - (4x+15)
distribute the negative
6x + 10 - 4x -15
combine like terms
2x-15 is the final answer for h(x)
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3. Tim and Juan are both animal lovers. Tim owns 2 cats, 3 dogs, 1 Guinea pig and 3 hamsters and represents this mathematically
LenaWriter [7]

Answer:

Juan- 1c+6d+5g

Together- 3c+9d+6g+3h

Step-by-step explanation:

Add their pets together

7 0
2 years ago
Read 2 more answers
Kyle is having a party he has 43 hot dogs there will be 8 people at his party how many hotdogs will each person get
Brrunno [24]

each person will get 5 hot dogs.

Step-by-step explanation:

Total number of Hot dogs =43

Total number of people at party= 8

Each person will get hot dogs= \frac{Total number of Hot dogs}{Total number of people at party }

Each person will get hot dogs= \frac{43}{8}

Each person will get hot dogs= 5.37 or ≈ 5

So, each person will get 5 hot dogs.

Keywords: Word Problems

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6 0
4 years ago
1. (01.02)<br><br> Given that f(x) = 4x – 3 and g(x)<br><br> 2x-1, solve for g(f(2)). (5 points)
attashe74 [19]

Answer:

9

Step-by-step explanation:

The first thing we shall be doing here is substituting f(x) into g(x).

Mathematically, that would be written as g(f(x))

= 2(4x-3)-1 = 8x -6 -1 = 8x - 7

Now we shall find g(f(2)) by substituting 2 into the expression above.

Mathematically, that would be 8(2) -7 = 16-7 = 9

6 0
4 years ago
A square pyramid is shown sitting on its base.
allochka39001 [22]

Answer:

Area of Pyramid = 384 cm²

Step-by-step explanation:

Given

Shape: Square Pyramid

Base: 12 cm

Height: 10 cm

Required

The Surface area.

The surface area of the pyramid is calculated by

1. Calculating the area of the base square

2. Calculating the area of the triangles

3. Adding (1) and (2) above

Having highlighted these points,

Step 1: First we calculate the area of the base square

The dimension of the square is 12cm x 12cm

Let L represent the length of the square (L = 12 cm)

So, Area = L * L

Area = 12 cm * 12 cm

Area = 144 cm²

Step 2: There are four triangles in the above pyramid (because the base is a square; and a square has four sides)

The dimension of each triangle is

Base: 12 cm

Height: 10 cm

First, we calculate the area of one triangle

Area = 0.5 * base * height

Area = 0.5 * 12 cm * 10 cm

Area = 60 cm²

If the area of 1 triangle is 60 cm², the area of 4 triangles would be

Area = 4 * 60 cm²

Area = 240 cm²

Step 3: Adding (1) and (2) above

Area of Pyramid = Area of base square + Area of triangles

Area of Pyramid = 144 cm² + 240 cm²

Area of Pyramid = 384 cm²

Hence, the surface area of the pyramid is 384 cm²

5 0
3 years ago
Factor the polynomial.<br><br> X2-13x+30
Svetllana [295]

Answer:

<h2>\ \boxed{(x - 3)(x - 10)}</h2>

Step-by-step explanation:

{x}^{2}  - 13x  + 30

Write -13x as a difference

{x}^{2}  - 3x - 10x + 30

Factor out x from the expression

x(x - 3) - 10x + 30

Factor out -10 from the expression

x(x - 3) - 10(x - 3)

Factor out x-3 from the expression

(x - 3)(x - 10)

Hope I helped!

Best regards!!

4 0
3 years ago
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