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Fiesta28 [93]
3 years ago
5

Find the solutions to the equation below.

Mathematics
1 answer:
taurus [48]3 years ago
7 0

2x²+7x+3=0

2x²+(1+6)x+3=0

2x²+1x+6x+3=0

x(2x+1)+3(2x+1)=0

(2x+1)(x+3)=0

2x+1=0. x+3=0

2x=-1. x=-3

x=-1/2

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Describe the graph of y=3/4x-12 as compared to the graph of y=1/x
Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function y=\frac{3}{4x-12} as compared to the graph of y=\frac{1}{x}.

We can write our transformed function as:

y=\frac{3}{4(x-3)}

y=\frac{3}{4}*\frac{1}{(x-3)}

Now let us compare our transformed function with parent function.

Let us see rules of transformation.  

f(x-a)\rightarrow\text{Graph shifted to the right by a units},

f(x+a)\rightarrow\text{Graph shifted to the left by a units},

Scaling of a function: a*f(x)

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0
3 years ago
Q ,# 13 Graph the function<br>Y = - X + X ^2
GalinKa [24]
We have the following function that is a quadratic function:

y=-x+x^2

So the graph of this function is shown in the figure below. This is a <em>parabola</em> as you can see. The roots of this functions, that is, the x-intercepts are:

y=-x+x^2 \\ y=x(x-1) \\ \\ x_{1}=0 \ and \ x_{2}=1

As you can see in the figure. This function decreases from (-\infty,0.5) and increases from (0.5, \infty)

Finally, another thing we can see from the graph is that the vertex is the point:

V(0.5,-0.25)


4 0
3 years ago
Read 2 more answers
What is -2√20-√125 in simplest radical form
solong [7]
√20 the prime factors are 2, 2, 5 so
-2 * √4 *√5
-2*2*√5
-4√5 is the first part ,
now for √125, use prime factorization ,
all prime factors that make up 125 is
5, 5, 5 so √125 can be separated to √25√5 and √25 = 5 so the second part is 5√5.
now -4√5 - 5√5 = -9√5.
therefore answer is -9√5
8 0
3 years ago
Which is the correct algebraic representation for the area of a circle?
fiasKO [112]
B because pie radius square = area of a circle
4 0
3 years ago
HELP PLS IK ITS NOT C JUST REWRITING IT WITHIUT PARENTHESIS​
den301095 [7]

Answer:

Wouldn't it be answer B?

Step-by-step explanation:

The rest of the answers have addition which is not in the problem provided.

3 0
3 years ago
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