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Alexxx [7]
3 years ago
7

Need help and im almost done

Mathematics
1 answer:
Sav [38]3 years ago
6 0

Answer:

1 3

Step-by-step explanation:

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The domain of a function is the set of input or argument values for which the function is real and defined.

So, for the given function to be defined, we need to find the possible values for which the values of x makes the square root to be positive.

That is;

-9 -5x ≥ 0

Now, let's solve for x

Add 9 to both-side of the equation

-5x ≥ 9

Divide both-side by -5

x ≤ -9/5

Therefore, the domain of the function can be represented in interval notation as: ( - ∞ , -9/5]

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2 years ago
What is the arithmetic mean for the following numbers,88,80,75,70,38,45,70,60,60,50​
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Answer:

63.6

Step-by-step explanation:

X=£fx/n

= 88+80+75+70+38+45+70+60+60+50/10

= 636/10

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2 years ago
Find the roots of f(x)=x^2+10x−96
a_sh-v [17]

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0  or  x - 6 = 0

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3 years ago
(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all
Vsevolod [243]

Answers:

  • a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.
  • b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.
  • c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.
  • d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.
  • e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.
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