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just olya [345]
2 years ago
9

Complete the table of inputs and outputs for the given function. g(x) = 3 - 8x g() 0 -5 3 Reset​

Mathematics
1 answer:
Mandarinka [93]2 years ago
7 0

Answer:

3/8, 0

0, 3

1, -5

3, -21

Step-by-step explanation:

i just took the test in edmentum and got it right :)

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If x+a is a factor of 2x²+2ax+5x+10,find a.
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If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

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1/3 + (2/5)
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Figure ABCD is a rhombus. Find the value of x. <br><br> 58° <br><br> x = [ ? ]°
melisa1 [442]

The diagonals of the rhombus intersect at right angle. Then the value of x will be 32°.

<h3>What is a rectangle?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. In a rhombus, opposite sides are parallel and equal.

Figure ABCD is a rhombus.

Its diagonals intersect at right angle.

Let the another angle be x. Then we have

x + 58° + 90° = 180°

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More about the rhombus link is given below.

brainly.com/question/27870968

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Vilka [71]

Answer:

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A decimal form of this is approximately 5.207.

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