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Ganezh [65]
3 years ago
7

If f(x) =

class="latex-formula">, which of the following describes the graph of f(x) - 5?
A. The graph of f(x) - 5 is a vertical shift of f(x) = x^{2} five units up.

B. The graph of f(x) - 5 is a vertical shift of f(x) = x^{2} five units down.

C. The graph of f(x) - 5 is a horizontal shift of f(x) = x^{2} five units to the right.

D. The graph of f(x) - 5 is a horizontal shift of f(x) = x^{2} five units to the left.
Mathematics
1 answer:
balu736 [363]3 years ago
6 0
I'm pretty sure it'd be answer B.
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Solve 90x = 81+25x^2​
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Answer:

1.8

Step-by-step explanation:

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6 0
3 years ago
The area of the rectangle is 24 inches. How much longer is its length than its width?
antiseptic1488 [7]
I Belive That There Can't Be 3 Numbers In A Rectangle Because At The Top You Get 24 And 6 And I Think It Is BxH One Half Times Base Times Height So 2xBxH . 
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What is 225 square feet of 450
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Does anyone know the answer to these two problems?
Nady [450]

Answer:

8) -8, -9

9) 4, $ \frac{1}{2} $

Step-by-step explanation:

8) x² + 12x + 27

Solutions of a polynomial means the values of $ x $ such that the polynomial becomes zero. $ i.e., y = 0 $.

We use the following formula to determine the solutions of a quadratic equation of the form: $ ax^2 + bx + c = 0 $

    $ \implies x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $

In this equation, $ a = 1; b = 12; c = 27 $

Substituting in the formula, we have:

$ x = \frac{-12 \pm \sqrt{144 - 108}}{2} $

$ \implies x = \frac{-12 \pm 6}{2} $

Taking 2 common outside we get:

$ x = - 6 \pm 3 $

Therefore, we get two solutions viz, x = -3, -9.

9) 2x² - 9x + 4 = y

X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.

Solving the equation using the formula above, we get:

$ x = \frac{-(-9) \pm \sqrt{81 - 32}}{2(2)} $

$ \implies x = \frac{9 \pm 7}{4} $

The values of x = 4, $ \frac{1}{2} $.

Hence, the answer.

8 0
4 years ago
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