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Sholpan [36]
3 years ago
10

Let f(x)=4x2−5 . A new quadratic function g(x) is the function f(x) stretched vertically by a factor of 2. What is the equation

of this new function g(x)? Question 5 options: g(x)=4x2−3 g(x)=8x2−10 g(x)=4(x+2)2−5 g(x)=8x2−5
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0
To vertically strech a function, f(x) by a factor of c, that is cf(x)

so strech vertically by 2 means times whole thing by 2
so
2 times (4x^2-5) =8x^2-10

g(x)=8x^2-10
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Then the area of triangle ADE is
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The measure of angle S is 65 degrees.
suter [353]

Answer:

A. 115°

Step-by-step explanation:

180° - 65° = 115°

5 0
3 years ago
When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100
ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>  

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10  

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

\bf 1,000*(1.09)^2+10(1+1.09)

<u>End of year 3 (capital + interest + new deposit)</u>

\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)

and we can see that at the end of year 50, the future value is

\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}

The sum  

\bf 1+1.09+(1.09)^2+...+(1.09)^{49}

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356

and the future value is then

\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564

The <em>present value PV</em> is

\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62

rounded to the nearest hundredth.

5 0
3 years ago
a species of cicada has a life cycle of 17 years a parasite that harms the cicada has a life cycle of 4 years if the last known
irga5000 [103]

Answer:

What grade are you in.  and let me see the choices

Step-by-step explanation:

3 0
3 years ago
Find the value of 83 - [59 - (22 - 18)]
Kipish [7]
Use order of operations (PEMDAS) 
<span>83-<span>(<span>59-<span>(<span>22-18</span>)</span></span>)
</span></span><span><span>83-<span>(<span>59-4</span>)
</span></span></span><span><span>83-55=</span></span>28

Final answer: 28 
8 0
3 years ago
Read 2 more answers
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