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yaroslaw [1]
2 years ago
12

What is the slope of the line that contains the point (-2, 3) and (1,9)

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
7 0
The slope is:(9-3)/(1-(-2))=6/3=2
You might be interested in
Topic: The Quadratic Formula
Finger [1]

Answer:

Step-by-step explanation:

The quadratic formula for a equation of form

ax²+bx + c = 0 is

x= \frac{-b +- \sqrt{b^2-4ac} }{2a}

For the first equation,

x²+3x-4=0,

we can match that up with the form

ax²+bx + c = 0

to get that

ax² =  x²

divide both sides by x²

a=1

3x = bx

divide both sides by x

3 = b

-4 = c

. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.

Plugging our values into the equation, we get

x= \frac{-3 +- \sqrt{3^2-4(1)(-4)} }{2(1)} \\= \frac{-3+-\sqrt{25} }{2} \\ = \frac{-3+-5}{2} \\= -8/2 or 2/2\\=  -4 or 1

as our possible solutions

Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.

Next, we have

x²+3x+4=0

Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus

x= \frac{-3 +- \sqrt{3^2-4(1)(4)} }{2(1)}\\= \frac{-3 +- \sqrt{9-16} }{2}\\= \frac{-3 +- \sqrt{-7} }{2}\\

Because √-7 is not a real number, this has no real solutions. However,

(-3 + √-7)/2 and (-3 - √-7)/2 are both possible complex solutions, so this has two complex solutions

Finally, for

4x² + 1= 4x,

we can start by subtracting 4x from both sides to maintain the desired form, resulting in

4x²-4x+1=0

Then, a=4, b=-4, and c=1, making our equation

x=\frac{-(-4) +- \sqrt{(-4)^2-4(4)(1)} }{2(4)} \\= \frac{4+-\sqrt{16-16} }{8} \\= \frac{4+-0}{8} \\= 1/2

Plugging 1/2 into 4x²+1=4x, this works as the only solution. This equation has one real solution

7 0
3 years ago
Owen used these steps to solve the equation 4x+7=1+2(2x+3). Which choice describes the meaning of his result, 7=7?
ivanzaharov [21]

Answer:

Option D. All values of x make the equation true

Step-by-step explanation:

<u><em>The options of the question are</em></u>

a.The result is not correct because Step 2 has an error.

b.The solution is x=7.

c.No values of x make the equation true.

d.All values of x make the equation true

we have the equation

4x+7=1+2(2x+3)

solve for x

Apply distributive property right side

4x+7=1+4x+6

Combine like terms

4x+7=4x+7

subtract 4x both sides

7=7

The equation has infinity solutions

.All values of x make the equation true

6 0
3 years ago
. Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement b
Umnica [9.8K]

Answer: a.This is the average number of days the house stayed on the market before being sold for $150,000.


Step-by-step explanation:

Given: f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s.

To find the meaning f(150),

here p= 150 which means f(150) is the average number of days a house stays on the market before being sold for price 150 in $1,000s.

And 150 in $ 1,000= $150,000

Therefore, f(150) is the average number of days a house stays on the market before being sold for price $150,000.


7 0
3 years ago
Read 2 more answers
Which of the points shown below are on the line given by the equation y = 4x?
kykrilka [37]
The answer is (1,4) and (-1,-4)
8 0
3 years ago
Simplify the expression. 25^1/2 + 81^1/4
Vanyuwa [196]

Answer:

32.75

Step-by-step explanation:

4 0
3 years ago
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