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Marizza181 [45]
3 years ago
13

Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.

Mathematics
2 answers:
Andreyy893 years ago
7 0

Answer:

Step-by-step explanation:

liubo4ka [24]3 years ago
5 0

Answer:

None of the options are correct

Step-by-step explanation:

Given

f(q) = q^2 - 125

Required

The roots of the function

Since the function is a quadratic function; to get the roots of the function, f(q) must be equal to 0

f(q) = q^2 - 125 becomes

0 = q^2 - 125

Make q^2 the subject of formula

125= q^2

Rearrange

q^2 = 125

Take square roots of both sides

\sqrt{q^2}  = \sqrt{125}

q  = \sqrt{125}

Expand the square root of 125

q  = \sqrt{25 * 5}

q  = \sqrt{25} * \sqrt{5}

q = ±5 * \sqrt{5}

Split into 2

q  = 5 * \sqrt{5} or q  = -5 * \sqrt{5}

q  = 5  \sqrt{5} or q  = -5 \sqrt{5}

Hence, the roots of the quadratic function are q  = 5  \sqrt{5} or q  = -5 \sqrt{5}

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Which graph is an example of a function whose parent graph is of the form y = √x?
Maksim231197 [3]

Answer:

The correct option is 1.

Step-by-step explanation:

The given parent function is

y=\sqrt{x}

1. Domain of the function is all positive real number including 0.

2. Range of the function is all positive real number including 0.

3. It is an increasing function. It increases at decreasing rate.

First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

y=\sqrt{x+4}-1

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.

Second graph is a parabola, so it is the graph of a quadratic function.

Third graph is a rectangular hyperbola, so it is the graph of a rational functions.

Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.

Therefore options 2, 3 and 4 are incorrect.

6 0
3 years ago
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Juan charges $3.50 per hour for babysitting. Write a rule to describe the amount of money (M) earned is a function of the number
ratelena [41]
M(earned money)=h(worked hours)*$3.50
6 0
3 years ago
If f(x) = -x + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f +g)(x)?<br> -
Lyrx [107]

Answer:

This is so easy

Let me explain:

first lets find out (f+g)(x)=-x+3x+5+x^2+2x=

x^2+4x+5 this is the equation of a parabola because we have x^2

so only the first graph shows us a parabola

which remains the right one.

6 0
3 years ago
Please answer this question<br><br> ONLY ANSWER IF YOU KNOW FOR SURE
Fittoniya [83]
The answer is 540 m2 hope this helps
7 0
2 years ago
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At most, how many unique roots will a third-degree polynomial function have?
beks73 [17]

The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.

In fact, if you use complex number, then a polynomial with degree n has exactly n roots.

So, in particular, a third-degree polynomial can have at most 3 roots.

In fact, in general, if the polynomial p(x) has solutions x_1,\ x_2,\ldots x_n, then you can factor it as

p(x) = (x-x_1)(x-x_2)\ldots (x-x_n)

So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

p(x)=(x-x_1)(x-x_2)(x-x_3)(x-x_4)

But this is a fourth-degree polynomial.

7 0
3 years ago
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