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kaheart [24]
2 years ago
6

f(2) 42 g(x) = 2x +3 Find 4) (. Include any restrictions on the domain. O A. 2.2---3 417 2 > 0 B. 47 2 2 r--3, (1) (a) = (4)

(a) x A 을 c. (5) (r) = 1,2*0 OD (1) (a= + 2​

Mathematics
1 answer:
slamgirl [31]2 years ago
5 0

Answer:

Option D

Step-by-step explanation:

Given f(x) = \sqrt[3]{4x}

g(x) = 2x + 3

Since, (\frac{f}{g})(x)=\frac{f(x)}{g(x)}

                     =\frac{\sqrt[3]{4x}}{2x+3}

This function is defined for the denominator is not equal to zero.

(2x + 3) ≠ 0

x ≠ -\frac{3}{2}

Therefore, Option D will be the correct option.

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Identify the ordered pair that represents the vector from a(1,6) to b(2,-3) and the magnitude of ab
aliina [53]

Answer: magnitude ab = 9.06

Step-by-step explanation:

The vector coordinates will be represented with ( X , Y )

Magnitude of ab will be

ab^2 = (X2 -X1)^2 + (Y2 -Y1)^2

ab^2 = (2 -1)^2 + (-3 -6)^2

ab^2 = 1^2 + 9^2

ab^2 = 1 + 81

ab = 9.06

3 0
3 years ago
Less than 75% of workers got their job through internet resume sites. A researcher thinks it has increased.
Vera_Pavlovna [14]

Answer:

H0 : p = 0.75  against    H1: p > 0.75  One tailed test.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0 : p = 0.75  against    H1: p > 0.75  One tailed test.

In this case H0 is not defined as p≤ 0.75 because the acceptance and rejection regions cannot be set up. Therefore we take the exact value of H0 : p= 0.75.

The claim is that the probability of the workers getting their job through the internet is greater than 75% or 0.75.

As H0 is supposed to be less than we choose H1 to be greater than equality.

5 0
3 years ago
Given g(x) = −3x + 4
Goshia [24]

Answer:

The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.

Step-by-step explanation:

We are given the function:

g(x) = -3x + 4

And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}

Simplify:

\displaystyle \begin{aligned}  \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}

In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.

This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.

3 0
2 years ago
In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH
Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}

Substituting the given expression for each segment in the first equation, we get:

3x+6=2(2x-2).

Solving the above equation for x, we get:

\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}

Substituting x=10 in the equation for segment EI, we get:

EI=2*10-2=20-2=18.

Therefore:

GI=18.

Now, to determine the measure of angle IEH, we notice that:

\Delta HFG\cong\Delta GEH,

therefore,

\measuredangle GHF\cong\measuredangle HGE.

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.

<h2>Answer: </h2>\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\  \end{gathered}

4 0
1 year ago
What are some values to make -2x&gt; 10 true ?<br> Please help ASAP!
steposvetlana [31]

Answer:

-6 -7 -8 -9 -10

Step-by-step explanation:

anything that keeps going from there dont do anything like -5 -4 -3 -2 -1 because it would be wrong

any negative number that keeps increasing after -6

7 0
2 years ago
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