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3 years ago

If f(x)=-2x-3 what is f(r+2) ?

Mathematics

1 answer:

fiasKO [112]3 years ago

4 0

Answer:

$f(x) = - 2x - 3$

when x is r + 2 :

$f(r + 2) = - 2(r + 2) - 3 \\ = - 2r - 4 - 3 \\ = - 2r - 7 \\ \\ { \boxed{ \boxed{f(r + 2) = - 2r - 7}}}$

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I got the answer but i need to know how did she get that answer

kiruha [24]

If you round your numbers that is how you find your answer. Rounding rules: 5 or more round up to the next number. 4 or less stays the same. This problem requires you to round to the whole number.

1.25 rounds to 1
-2.69 round to -3

so the answer is 1 + (-3)

4 0

3 years ago

Find the vertices and foci of the hyperbola with equation quantity x minus five squared divided by eighty one minus the quantity

Papessa [141]

If you notice, the positive fraction, is the one with the "x" variable in it, that simply means, the hyperbola is opening over the x-axis, so is a horizontal one, therefore

$\bf \textit{hyperbolas, horizontal traverse axis }
\\\\
\cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h\pm a, k)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2 + b ^2}
\end{cases}\\\\
-------------------------------$

$\bf \cfrac{(x-5)^2}{81}-\cfrac{(y-1)^2}{144}=1\implies \cfrac{(x-5)^2}{9^2}-\cfrac{(y-1)^2}{12^2}=1~~
\begin{cases}
a=9\\
b=12
\end{cases}
\\\\\\
c=\sqrt{9^2+12^2}\implies c=15\\\\
-------------------------------\\\\
vertices~~(5\pm 9,1)\implies 
\begin{cases}
(14,1)\\
(-4,1)
\end{cases}~~foci~~(5\pm 15,1)\implies 
\begin{cases}
(20,1)\\
(-10,1)
\end{cases}$

3 0

3 years ago

Victor earns a gross annual income of $64,570 and is buying a home for $125,340. He is making a 15% down payment and financing t

Oliga [24]

Part A:

Given that Victor is buying a home for $125,340 and that he is making a 15% down payment.

The amount of down payment is given by 15% of $125,340 = 0.15 x $125,340 = $18,801.

Therefore, the amount of mortgage he needs to borrow is given by $125,340 - $18,801 = $106,539

Part B

Given that he earns a gross annual income of $64,570 and that the loan of $106,539 will be spread for 20 years at 3.75% interest.

$106,539 / 20 = $5,326.95

Roughly he will be paying about $5,000 every year which is way below his annual gross income.

Therefore, he can afford the mortgage.

Part C

The monthly mortgage payment can be calculated using the present value of annuity formula given by

 $PV=P\left( \frac{1-\left(1+\left( \frac{r}{t} \right)\right)^{-nt}}{ \frac{r}{t} } \right)$

where: PV is the current value of the loan, P is the periodic (monthly) payment, r is the annual interest rate, t is the number of payment in one year and n is the number of years.

Here, PV = $106,539; r = 3.75% = 0.0375; t is 12 payments in one year (since payment is to be made monthly); n = 20 years.

Thus, we have:

$106,539=P\left( \frac{1-\left(1+\left( \frac{0.0375}{12} \right)\right)^{-20\times12}}{ \frac{0.0375}{12} } \right) \\ \\ =P\left( \frac{1-\left(1+0.003125\right)^{-240}}{0.003125} \right)=P\left( \frac{1-\left(1.003125\right)^{-240}}{0.003125} \right) \\ \\ =P\left( \frac{1-0.472919}{0.003125} \right)=P\left( \frac{0.527081}{0.003125} \right)=168.666P \\ \\ \Rightarrow P= \frac{106,539}{168.666} =631.66$

Therefore, the monthly mortgage payment is $631.66

Part D

Since he will make a monthly payment of $631.66 for 20 years, thus he will make a total of $631.66 x 12 x 20 = $151,598.40

Therefore, his total payment for the house will be $151,598.40

Part E

Since he will make a total payment of $151,598.40 for a mortgage loan of $106,539.

Therefore, the amount of interest he will pay is given by $151,598.40 - $106,539 = $45,059.40

7 0

3 years ago

Find the value of x in the triangle shown below. x = 56° 99°

anyanavicka [17]

Answer:

x = 25 degrees

Step-by-step explanation:

All angles in a triangle should add up to 180 degrees. So to solve for x, set up an equation where all three angles added up equals 180.

180 = 99 + 56 + x

180 = 155 + x

25 = x

The unknown angle is equal to 25 degrees.

4 0

3 years ago

According to a survey, 62% of americans go on vacation each . two americans are chosen from a group of 100 americans. what is th

Drupady [299]

probability of one go on vacation and one does not go on vacation is 0.2356 and probability none of them go on vacation is 0.1444

According to a survey, 62% of americans go on vacation each .

two americans are chosen from a group of 100 americans.

what is the probability that one or both of the people chosen does not go on vacation each ?

62% americans go on vacation t

hen 38% americans does not go on vacation

Total group of americans is 100

out of 100 americans 62 go on vacation and 38 does not go on vacation

probability of one go on vacation and one does not go on vacation

= 0.62*0.38

=0.2356

probability none of them go on vacation

= 0.38*0.38

=0.1444

learn more about of probability here

brainly.com/question/11234923

#SPJ4

6 0

1 year ago