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3 years ago

If p,q,r,s are non-zero numbers, find the solutions to the equation (px+q)(rx+s)=0 in terms of p,q,r,s.?

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

I to help you but describe it in a easier way

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Which are the solutions of x² = 19x + 12

Sever21 [200]

Answer:

$\{x=\frac{19-\sqrt{409} }{2}\ , \ x=\frac{19+\sqrt{409} }{2}\}$

Step-by-step explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

$x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}$

4 0

2 years ago

7. Write the equation of a line which passes through the points (-3,5) and (6,23)

faust18 [17]

Answer:

answer to the equation is

$y = 2x + 11$

Step-by-step explanation:

$y = mx + b$

first find the slope of the line using the two points

$slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2$

substitute 2 for m and use one of the points for x and y and solve for b

$5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11$

Now that you found b, the y-intercept, you can substitute that into the equation for your line

$y = 2x + 11$

7 0

2 years ago

After completing this activity, what is your initial explanation of how the populations of predators and prey are related?

Evgesh-ka [11]

Step-by-step explanation:

prey and predators depends in each other .in the absence of one another is useless or meaning less. predators is responsible for population of prey.if less predators more prey and more predators means less prey.

4 0

2 years ago

Read 2 more answers

How many roots does the polynomial equation have?

erik [133]

answers

the answers is 6

3 0

2 years ago

Yuma missed 5 points out of a possible 100. What decimal number represents the part of the math test she got right.

CaHeK987 [17]

0.95

Consider this question in terms of percentages ( that is, out of 100)

she got 95 questions right → 95% = $\frac{95}{100}$ = 0.95

3 0

2 years ago