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zmey [24]
3 years ago
13

Determine the next step for solving the quadratic equation by completing the square. 0 = –2x2 + 2x + 3 –3 = –2x2 + 2x –3 = –2(x2

– x) –3 + = –2(x2 – x + ) = –2(x – )2 = (x – )2 The two solutions are
Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0
We have that
0 = –2x²<span>+ 2x + 3
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(–2x²+ 2x)=-3

Factor the leading coefficient 

-2*(x²-x)=-3

Complete the square. Remember to balance the equation by adding the same constants to each side

-2*(x²-x+0.25)=-3-0.50

Rewrite as perfect squares

-2*(x-0.5)²=-3.50

(x-0.5)²=-3.50/-2

(x-0.5)²=1.75------> square root both sides

(+/-)(x-0.5)=√7/2

(+)(x-0.5)=√7/2----> (√7/2)+0.5----> x=1.823

(-)(x-0.5)=√5/2-----> x=0.5-(√7/2)----> x=-0.823

the solutions are

x=1.823

x=-0.823

guapka [62]3 years ago
5 0

Answer:

-1/2, 1/4, 1/2

Step-by-step explanation:

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2/5 of a foot pieces are there in 10 feet?
prohojiy [21]

Answer:

\frac{a}{25} That is the answer if you're finding the exact form...

Step-by-step explanation:

Simplify the expression

5 0
3 years ago
1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)
olga nikolaevna [1]

Transforming a shape involves changing the size and/or the location of the shape.

  • The rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)
  • The rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y).
  • The rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

(x,y) \to (x,-y)

So, a rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

(x,y) \to (0.5x,0.5y)

So, a rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y)

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

Read more about transformation at:

brainly.com/question/4289712

6 0
3 years ago
Offering around 20 points
givi [52]

Sarah

reason

she has the most consistent scores

4 0
3 years ago
Which polynomial is prime?
faust18 [17]
X2+16 is the prime <span>polynomial.
x2+16 is the only </span><span>polynomial that couldn't be factored out anymore

x2-36 --> (x-6)(x+6)
x2-7x+12 --> (x-3)(x-4)
x2-x-20 --> (x+5)(x-4)</span>
5 0
3 years ago
Read 2 more answers
What function is represented in the table?
Pani-rosa [81]

Answer:

c

Step-by-step explanation:

an exponential function of the form

y = ab^{x}

to find a and b use ordered pairs from the table

using (0, 0.5 ) , then

0.5 = ab^{0} [ b^{0} = 1 ] , then

a = 0.5

so y = 0.5b^{x}

using (1, 2 ) , then

2 = 0.5b^{1} = 0.5b ( divide both sides by 0.5 )

4 = b

then exponential function represented by the table is

y = 0.5 (4)^{x}

8 0
2 years ago
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