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Delvig [45]
3 years ago
11

For the function f(x)=10(x+5)−9, find the value of f(3)

Mathematics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

f(3) = 71

Step-by-step explanation:

f(x) = 10(x + 5) − 9

f(3) = 10(3 + 5) - 9

f(3) = 10(8) - 9

f(3) = 80 - 9

f(3) = 71

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Answer:

Week 4

Step-by-step explanation:

Ben has $250 in the beginning.  He saves $150 per week.

y = 150x + 250

Tim has $1,650 in the beginning.  He spends $200 per week.

y = 1650 - 200x

We are trying to find which x-value produces the same y-value for both equations.  You can do this by setting both equations equal to each other.

150x + 250 = 1650 - 200x

(150x + 250) + 200x = (1650 - 200x) + 200x

350x + 250 = 1650

(350x + 250) - 250 = (1650) - 250

350x = 1400

(350x)/350 = (1400)/350

x = 4

By week 4, they will have the same amount of money.

3 0
3 years ago
Is sin theta=5/6, what are the values of cos theta and tan theta?
mina [271]

let's bear in mind that sin(θ) in this case is positive, that happens only in the I and II Quadrants, where the cosine/adjacent are positive and negative respectively.

\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{6}}\qquad \impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{6^2-5^2}=a\implies \pm\sqrt{36-25}\implies \pm \sqrt{11}=a \\\\[-0.35em] ~\dotfill

\bf cos(\theta )=\cfrac{\stackrel{adjacent}{\pm\sqrt{11}}}{\stackrel{hypotenuse}{6}} \\\\\\ tan(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{adjacent}{\pm\sqrt{11}}}\implies \stackrel{\textit{and rationalizing the denominator}~\hfill }{tan(\theta )=\pm\cfrac{5}{\sqrt{11}}\cdot \cfrac{\sqrt{11}}{\sqrt{11}}\implies tan(\theta )=\pm\cfrac{5\sqrt{11}}{11}}

5 0
3 years ago
Shaquil needs to borrow $400. The loan company charges him $80 in fees for the loan. Shaquil calculates that the annual percenta
lesya [120]

Answer:

(B)  

Step-by-step explanation:

PRINCIPAL AMOUNT(p) = $400

RATE (r)= 250% = 2.5

INTEREST = $80

t = time (in days) = t/365

By using the formula,

r = \frac{i}{pt}

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t = \frac{364*80}{400*2.5}

t = 29.2

t = 29 days (approx)

Hence option (B) is correct.


6 0
3 years ago
Read 2 more answers
I need help with this will mark u as brainliest.
Amanda [17]
1. B
2. A
3. D
4. D
I'm not too sure about 1 but I'm sure about the others. Hope this helps!
7 0
3 years ago
PART 1!! There’s more to it so please help me!! lesson 3.3.4 Practice: modeling: graphs of functions!
asambeis [7]

Answer:

the first cell next to 3 (time hours x) is 300

the  point is (3, 300)

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the point is (10,1000)

the values for the second table should be the same if they have the same unit rate which is 100 watts per hour

Step-by-step explanation:

If there is 100 watts perhour just multiply the  number of hours by this unit

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2 years ago
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