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Hunter-Best [27]
3 years ago
12

A red kangaroo jumps along 40 km/h. At this rate how long would it take to jump 2 km

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0
It is 20 mile per hour
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5 + 2h = total money spent


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3 years ago
PLS PLSSS HURRY I NEED HELP
Sloan [31]

Answer:

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5 0
2 years ago
The change in water vapor in a cloud is modeled by a polynomial function, C(x). C(x) = x^3+ 5x^2+3x+30 Describe how to find the
kari74 [83]

Answer:

Suppose the equation that describes the change in water vapor in a cloud (y) with respect to temperature (x): C(x) = x³ - 4x² - 7x + 10

You find the x-intercepts of the cubic equation by finding the roots. Let y be zero:

x³ - 4x² - 7x + 10 = 0

Now, find possible factors of the constant term in the equation: 10. These could be 1, 2, 5, and 10. Suppose we choose 1. We substitute x=1. If the answer is zero, then x=1 is one of the roots.

(1)³ - 4(1)² - 7(1) + 10 = 0

Hence, x=1 or x-1 = 0 is one of the roots. We use this to manipulate the rest of the terms in the original equation, such that you can factor out (x-1). Substitute -x² - 3x² to -4x³ because they are just equal. Same is true for +3x - 10x for -7x:

x³ -x² - 3x²+3x - 10x + 10 = 0

Factor out like terms such that they have a common factor of (x-1) as much as possible.

x³ -x² = x²(x-1)

- 3x²+3x = -3x(x-1)

- 10x + 10 = -10(x-1)

The factored equation is:

x²(x-1)-3x(x-1)-10(x-1) = 0

Factor out (x-1):

(x-1)(x²-3x-10) = 0

Now, we have the quadratic equation left to be solved:x²-3x-10

Use the quadratic formula to find the roots:

x = [-b +/- √(b²-4ac)]/2a,

The a, b and c coefficients are based on the general form of the quadratic equation: ax² + bx + c. Hence, a=1, b=-3 and c=-10. Substituting the values:

x = [-(-3) +/- √((-3)²-4(1)(-10))]/2(1)

x = 5, -2

Therefore, the roots of the cubic equations are x = 1, x = 5 and x =- 2. These are the x-intercepts of the equation. At temperatures °C, 5°C and -2°C, there is no change in water vapor in a cloud. The graph is shown in the attached picture

Step-by-step explanation:

7 0
2 years ago
What is the surface area of this net?
balandron [24]

Answer:

It is 27.4

Step-by-step explanation:

First you need to find the area of the three rectangle.

Area=base*high

You do 4*2 for about 3 times

Which is 8 for 4*2

Then you multiply it 3 more time and get 24.

After that you add 24+1.7+1.7 and get 27.4

4 0
2 years ago
15. What is the graph of the function rule? <br> y = |3x| - 1
VladimirAG [237]
<h3>Answer:</h3>

D

<h3>Explanation:</h3>

The graph of |x| opens upward. Your graph is vertically stretched by a factor of 3 and translated downward 1 unit.

Graphs B and D open upward, but only graph D is translated downward (not upward, as in B).

3 0
3 years ago
Read 2 more answers
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