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Cerrena [4.2K]
3 years ago
10

I need help on this

Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

the answer would be -3/4

Step-by-step explanation:

(-4,3)(0,0)

y2-y1/x2-x1

0-3/0+4

-3/4


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Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer
Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

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

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply (3x+2)(x-4) i.e. 3x^2-12x+2x-8 = 3x^2-10x-8

So, the equation becomes:

0=3x^2-10x-8

Comparing this equation to standard quadratic equation:

ax^2+bx+c=0

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0
2 years ago
An experimenter studies vision in low light by
Mariulka [41]

Answer:

Independent variable- time spent in the dark room

Dependent variable - number of objects correctly identified

Conditions of the experiment- low light environment and lighted environments

Scores from the independent variable are used to construct the frequency distribution

Step-by-step explanation:

The independent variable is the factor that is being manipulated in an experiment and this time it is the time spent in a darkened room.

The dependent variable is the response variable, in this case, the number of objects correctly identified.

The experimental conditions involved bringing people from a lighted area into a darkened room.

3 0
2 years ago
Find the slope of the line that contains the points:<br> (-4,3) and (4,9)
Stolb23 [73]
I believe the slope is 3/4

9-3 = 6
4 - (-4) = 8

Simplify to get 3/4
3 0
3 years ago
Read 2 more answers
Four times a number added to 9 times the number is 65. What is the number?
MA_775_DIABLO [31]

Answer: 5

Step-by-step explanation:

Let the number = x.

4x + 9x = 65

13x = 65

x = 5

6 0
2 years ago
Read 2 more answers
What's the answer anyone know?
Katyanochek1 [597]
The answer is -2/6
Hope this helps
5 0
3 years ago
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