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Elza [17]
3 years ago
14

Convert to slope intercept form y-3=-2(x+4)

Mathematics
1 answer:
jeyben [28]3 years ago
3 0

Answer:

Step-by-step explanation:

y - 3 = -2x -8

y = -2x - 5

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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
Find the area of the triangle
Bess [88]

Answer:

b x h / 2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I NEED SERIOUS ANSWERS WITHIN 15 MINUTES PLEASE, WILL MAKE BRAINLIEST
Musya8 [376]

Answer: 1,4 is the answer

7 0
3 years ago
Answer choices <br> 216 cm<br> 247 cm<br> 297 cm<br> 337 cm
Natalija [7]
297 cm is the total surface area of the square pyramid
7 0
3 years ago
Please help simplify with steps 
Leviafan [203]
Remember that you can always multiply or divide BOTH the numerator and denominator
of the fraction by anything you want to.  You just have to do exactly the same to both of
them.

The way to simplify a fraction is to divide both the numerator and denominator by their
greatest common factor.

Do you see all of those 'x's on the top and bottom ?  The top and bottom can
both be divided by x-cubed.

<u>Numerator:</u>
Divide (-4³) by x³, and you have (-4) left.

<u>Denominator:</u>
Divide (x³ - 2x⁴) by x³, and you have (1 - 2x) left.

So, the simplified fraction is [  -4 / (1 - 2x)  ].

That's a perfectly good answer, but you could make it look a little prettier
if you multiply the top and bottom both by -1 .  Then it would be

                             4 / (2x - 1) .

Either one is fine.
8 0
3 years ago
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