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Ghella [55]
3 years ago
15

The graph of the function f(x) = (x - 4)(x + 1) is shown

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
4 0
What are the statements?
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Consider the equation ay'' + by' + cy = d, where a, b, c, and d are constants. (a) find all equilibrium, or constant, solutions
Orlov [11]
Rewrite equation so that it is homogeneous . 
ay'' +by' + cy = 0

Solve characteristic equation:
ar^2 +br + c = 0 \\ \\ r = \frac{(-b) \pm \sqrt{b^2 -4ac}}{2a} 

The solutions to the homogeneous equation are:
y = k_1 e^{r_1 t} + k_2 e^{r_2 t}

Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
y= k_1 e^{r_1 t} + k_2 e^{r_2 t} + \frac{d}{c}
4 0
3 years ago
1. A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would
ANTONII [103]

Answer:

So 12 of 15 free throws is 80% so she would have to make at least 13 of 15 free throws to at least get over 85% cause 13 of 15 is 86.6% repeated

Step-by-step explanation:

3 0
3 years ago
Choose the correct simplification of the expression (2x2y6z5)(5x4y5z3).
erastovalidia [21]

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

(2x^2y^6z^5)(5x^4y^5z^3)

Simplify the given expression.

(2x^2y^6z^5)\times (5x^4y^5z^3)

(2\times 5)(x^2x^4)(y^6y^5)(z^5z^3)

10x^{2+4}y^{6+5}z^{5+3}                  [\because x^mx^n=x^{m+n}]

10x^6y^{11}z^8

Therefore correct option is 4.

8 0
3 years ago
Peter has 4 boxes of markers.
Sindrei [870]
4(8+1); Peter is adding one marker to each box so we add 1 to 8 first because of order of operations (PEMDAS). There are 9 markers in each of the four boxes, 9 x 4 is 36 markers total
4 0
3 years ago
How to work out an angle using cosine. three sides are; 8,19,12.
Kay [80]
To solve for cos use 
adjacent over hypotenuse 
divide the lengths of the sides 
adj. / hyp.

7 0
3 years ago
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