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omeli [17]
2 years ago
12

The functions g and h are given by g(x) = x + 1 and h(x) = x²

Mathematics
1 answer:
Delvig [45]2 years ago
5 0

Answer:

x = - \frac{3}{2} , x = 2

Step-by-step explanation:

To find h(g(x)) substitute x = g(x) into h(x) , that is

h(g(x))

= h(x + 1)

= (x + 1)²

= x² + 2x + 1

For h(g(x)) = 3x² + x - 5 , then

3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides

2x² - x - 6 = 0 ← in standard form

(2x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

x - 2 = 0 ⇒ x = 2

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The description below represents Function A and the table represents Function B:
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The expression in A is equal to: 
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It can be observed that the equation is in the slope-intercept form which is equal to,
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where m is slope and b is intercept.

The slope and intercept therefore of this equation of the line are equal to 3 and 8, respectively.

For Part B:
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Substituting,
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The intercept, b, is the value of y when x = 0. From the tabulation, y = 5 when x = 0. Thus, the intercept is equal to 5.

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2 years ago
Choose the correct sum of the polynomials (4x3 − 2x − 9) (2x3 5x 3). 6x3 − 3x − 6 2x3 − 7x − 12 6x3 3x − 6 2x3 3x − 3.
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The correct sum of the polynomial is \rm 6x^3 + 3x - 6.

We have to determine

The correct sum of the polynomials.

<h3>Sum of the polynomials</h3>

Sum of the polynomials is just a matter of combining like terms, with some order of operations.

Then,

The correct sum of the polynomial is;

\rm (4x^3 - 2x - 9) + (2x^3 + 5x + 3) \\\\ 4x^3 - 2x - 9 + 2x^3 + 5x + 3\\\\ 6x^3 + 3x - 6

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To know more about the sum of the polynomial click the link is given below.

brainly.com/question/9465649

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3 years ago
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Lostsunrise [7]
  • Center =(h,k) = (0,2.25)
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<u>Step-by-step explanation:</u>

Here we have following equation : x^{2}+(y-2.25)^{2} = \dfrac{196}{169}

We need to find the center & radius of this circle . Let's find out:

We know that , Equation of a circle is given by :

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Here , (h,k) are the co-ordinates of center & r is the radius of circle.Collectively called as a circle with radius r and center at (h,k) . Let's frame given equation in question :

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On comparing this equation with equation (1) we get :

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