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2 years ago

Given f(x) = sin x and g(x) = cos x, find f(g(pi/2)) = 0. show all steps.

Mathematics

1 answer:

Nana76 [90]2 years ago

6 0

Heya !

Check the attachment.
Hope it helps you :)

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Hector paid $105 for 6 tickets to a hockey game. Each ticket cost the same amount. What was the cost of each ticket in dollars a

Sonja [21]

Answer:

the answer is 17.5 hope this helps

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The answer ASAP I don’t understand this at all

RSB [31]

Answer:

T = 530N + 250

Step-by-step explanation:

For the first plan, Heather will deposit $250 and then save $135 per month.

So, that is 250 + (135 x N) where N is the number of months she saves the $135.

So if it is for 3months,

We will have:

t¹ = 135N + 250

= 250 + (135 x 3)

= 250 + 405

= $655

For the second plan, there is no initial deposit, but she will save $395 per month.

That is 395 x N

t² = 395N

For 3months, we have 395 x 3 = $1185

Therefore the total for both plans in 3months = 655 + 1185 = $1840

Equation relating T to N

T = t¹ + t²

T = (135N + 250) + 395N

T = 135N + 250 + 395N

T = 530N + 250

5 0

3 years ago

write a function g whose graph represents a translation 2 units to the right followed by a horizontal stretch by a factor or 2 o

Alenkinab [10]

$\bf f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}\\\\
f(x)=&{{ A}} \left|{{ B }}x+{{ C}} \right|+{{ D}}
\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see,

$\bf f(x)=|x| \implies \begin{array}{lllccll}
f(x)=&1|&1x&+0|&+0\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

so, to shift it to the right by 2 units, simply set C = 2.
to stretch it by 2, set A = 1/2.

the smaller A is, the wider it opens, the larger it is, the more it shrinks.

5 0

3 years ago

Tony wants to purchase a baseball glove for $14.96, a baseball bat for $19.87, and a baseball for $5.37. He figured out that he

eimsori [14]

To solve this, first we calculate all the total cost of the items that is:

total cost = $14.96 + $19.87 + $5.37

total cost = $40.20

So we see that the actual cost is similar with the estimate so his calculation is reasonable.

7 0

2 years ago

What is the distance between (4,7) and (2,2)?

algol [13]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 4}}\quad ,&{{ 7}})\quad 
% (c,d)
&({{ 2}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{(2-4)^2+(2-7)^2}\implies d=\sqrt{(-2)^2+(-5)^2}
\\\\\\
d=\sqrt{4+25}\implies d=\sqrt{29}$

7 0

2 years ago