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2 years ago

URGENT!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

34kurt2 years ago

5 0

Given that $f(x)=3 \log_{10}x$

And $g(x)=9 \log_{10}x$

Comparing both functions we see that g(x) is 3 times more than f(x) so we can write:

g(x)=3 f(x)

Now using g(x)=3 f(x), we have to tell what type of transformation occurs from f(x) to g(x).

Remember that when some number is multiplied with f(x) then that either compresses or stretches the given function.

when multiplied number is greater than 1 the it creates stretch.

in g(x)=3 f(x), we see that multiplied number 3 is more than 1 so that indicates stretch.

Hence choice D) g(x) stretches vertically by factor of 3. is correct.

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Find the vertex of: y=6(x-1)2-8<br> (x,y)

Pepsi [2]

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
y=a(x-{{ h}})^2+{{ k}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-----------------------------\\\\
\begin{array}{lllcll}
y=&6(x-&1)^2&-8\\
&\uparrow &\uparrow &\uparrow \\
&a&h&k
\end{array}$

5 0

2 years ago

Write expression as a sine or cosine of an angle.<br>cos 94° cos 18° + sin 94° sin 18°

MArishka [77]

<h3>Answer: cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

cos(94)cos(18) + sin(94)sin(18) = 0.24192
cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

6 0

2 years ago

Aubrey, a pet store employee, wants to fit two fish tanks on one table. One fish tank is 1/6 of a foot wide and the other fish t

Anna007 [38]

Answer:

1/1

Step-by-step explanation:

1/6+5/6 simple adding with fractions its would be 1 foot

6 0

2 years ago

Read 2 more answers

If A and B are independent events, P(A) = 0.25, and P(B) = 0.3, what is P(AB)?

Marrrta [24]

Answer:

$P(A) = 0.25, P(B= 0.3$

And if we want to find $P(A \cap B)$ we can use this formula from the definition of independent events :

$P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075$

And the best option would be:

$P(A \cap B) =0.075$

Step-by-step explanation:

For this case we have the following events A and B and we also have the probabilities for each one given:

$P(A) = 0.25, P(B= 0.3$

And if we want to find $P(A \cap B)$ we can use this formula from the definition of independent events :

$P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075$

And the best option would be:

$P(A \cap B) =0.075$

3 0

2 years ago

Identify the x-intercept and y-intercept of the equation below.

Lady_Fox [76]

Divide by 21 to put the equation in intercept form.
x/(21/9) + y/(-21/7) = 1
x/(7/3) + y/(-3) = 1

The x-intercept is (7/3, 0)
The y-intercept is (0, -3)

The 3rd choice is appropriate.

8 0

2 years ago