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Natalka [10]
3 years ago
7

Write m=-3 and (3,-1) in point slope form

Mathematics
1 answer:
Art [367]3 years ago
7 0

Answer:

(y+1)= -3(x-3)

Step-by-step explanation:

Use Point-Slope Formula

(y-y_{1} )=m(x-x_{1} )

Substitute

(y+1) =-3(x-3)

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What is the minimum or maximum value of the given function
Ganezh [65]

Answer:

It has a minimum of -3 and a unkown maximum

Step-by-step explanation:

7 0
2 years ago
1 What is the value of the expression below?
lozanna [386]

Answer:

a - 1/50 is the ans

1/5 divided by 10 = 0.02

1/50 is also 0.02

7 0
3 years ago
Segments AB, DC and Ec intersect at point C. Angel DCE measures 148. Find the value of x.
Anna71 [15]

The image is attached.

Answer:

x = 16°

Step-by-step explanation:

Segment AB, segment DC and segment EC all intersect at point C.

Here, we are told angle DCE measures 148°.

This is a semi-circle, and the total angle of a semi-circle is 180°.

Which means, x+x+148 = 180

Solving for x, we have:

x+x+148 = 180

2x + 148 = 180

2x = 180 - 148

2x = 32

x = \frac{32}{2}

x = 16°

The value of x is 16°

6 0
3 years ago
Given the following two points, find the Rate of Change for the function.<br> (-2,-1) and (4,5)
horsena [70]

Answer:

(6, 6)

Step-by-step explanation:

(x) 4-(-2) = 6

(y) 5-(-1)= 6

5 0
3 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
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