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Mademuasel [1]
3 years ago
11

Find all real solutions: x² - x - 12 = 0

Mathematics
1 answer:
Andrej [43]3 years ago
8 0
Factor the equation. Remember the value should add to the b value and multiply to the c value.

x^2-x-12= 0
(x-4)(x+3)=0

Use the zero product property to find roots
x-4=0
x=4

x+3=0
x=-3

Final answer: x=-3, x=4
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Can someone graph this?<br> I'll give brainliest.
vodomira [7]

<em>It's nice of you to offer, but no thanks.</em>

To correctly graph this, you need to set up a simple equation and table of values. Luckily, this equation is dead-simple; I'll define <em>y</em> as the total cost and <em>x</em> as the number of water bottles sold.

y=1.5x

Since 1.50$ is the cost for one bottle, multiplying that with your variable that defined the amount of bottles, <em>x</em>, gets you the total, <em>y</em>. Now that we have a basic equation, we can begin plugging in values.

Recall that a function is basically just something that takes in a value and returns another one; in our case, it takes the <em>amount of bottles</em> and returns the  <em>total cost. </em>Now, plug in the x-values present on the graph (specifically only whole numbers, since you can't have a half bottle). I can't make a proper table but I'll make do.

x      y

--------

0     0

1      1.5

2     3

3     4.5

4     6    

5     7.5

-----------

Great, now that you have a table of values all you have to do is plug them into the graph, which I've attached. It's pretty crude since I drew it in mspaint but I'm sure you get the point at this point.


7 0
3 years ago
What is the surface area of the cylinder d = 10 h = 7
Anna11 [10]
The answer is 120\pi. Hope I helped!
3 0
3 years ago
The function f(x) = x2 is transformed to f(x) = −1.4x2. Which statement describes the effect(s) of the transformation on the gra
Romashka-Z-Leto [24]

Answer:

C) The parabola is narrower and reflected across the x-axis.

Step-by-step explanation:

The original parabola has equation:

f(x) =  {x}^{2}

The transformed parabola has equation

f(x) =  - 1.4 {x}^{2}

How wide the graph is can be determined by the absolute value of the coefficient.

The smaller the absolute value of the coefficient, the wider the graph.

Since

|1|  \:  <  \:  | - 1.4|

The original graph is wider than the transformed graph.

Also the negative factor tells us there is a reflection in the x-axis.

3 0
3 years ago
1. Calculate the area of the<br> figure below. Round to the<br> hundredths place when<br> necessary.
a_sh-v [17]

Answer:

The area is 88.39 cm

Step-by-step explanation:

Here, we want to find the area of the semicircle given that the diameter of the semi circle is 15 cm

We start by getting the radius

Mathematically r = D/2

= 15/2 = 7.5

Area of semicircle is area of circle/2

= (pi * r^2)/2

= (22/7 * 7.5^2)/2 = 88.39 cm

5 0
3 years ago
Find the intersection of the three sets: A = {–4, 3, 10}, B = {3, 6, 10, 15}, C = {–4, 10, 20}
Wittaler [7]

Answer:

10

Step-by-step explanation:

8 0
3 years ago
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