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2 years ago

Given the function ƒ( x ) = 3 x + 1, evaluate ƒ( a + 1).

Mathematics

2 answers:

Goshia [24]2 years ago

8 0

The equation would equal Axf+f

Nadya [2.5K]2 years ago

5 0

We were given $f(x)=3x +1$

To find $f(a+1)$ , just plug in
$(a+1)$ wherever you see $x$

$f(a+1)=3(a+1)+1$

$f(a+1)=3a +3+1$

$f(a+1)=3a +4$

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Please help me with this. Evaluate 8r - rs when r=6 and s=5

kondaur [170]

The answer of the equation is 18.

6 0

2 years ago

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Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ

Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price = 30% of $256,000

i.e The down payment price = $\dfrac{30}{100}$ × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

Now, From Compound Interest

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $179,200 × $(1+\dfrac{\textrm 7.5}{100})^{\textrm 20}$

Or, A = $179,200 × $(1.075)^{\textrm 20}$

Or, A = $179,200 × 4.24785

∴ A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

Now, Again

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72 Answer

7 0

2 years ago

Find the value of x. what is the relationship of these 2 angles? set up and solve an equation

tatiyna

Answer:

the relationship between these two angle is they r straight angle.

101+3x+4=180°
105+3x=180°
3x=180-105
x=75/3
x=25°

hope it helps

<h2>stay safe healthy and happy.</h2>

5 0

2 years ago

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What is the volume of the rectangular prism? Alternative text A. 1216in.3 B. 24 in.3 C. 6018in.3 D. 7312in.3

Eva8 [605]

Answer:C

Step-by-step explanation: Because its just so easy :/

5 0

3 years ago

Integrate <img src="https://tex.z-dn.net/?f=e%5E%7B4x%7D%5Csqrt%7B1%2Be%5E%7B2x%7D%20%7D%20dx" id="TexFormula1" title="e^{4x}\sq

AnnyKZ [126]

Answer:

$(\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C$

Step-by-step explanation:

Step(i):-

Given that the function

f(x) = $e^{4x} \sqrt{1+e^{2x} }$

Now integrating on both sides, we get

$\int\limits{f(x)} \, dx = \int\limits{e^{4x} \sqrt{1+e^{2x} } dx$

= $\int\limits{e^{2x} e^{2x} \sqrt{1+e^{2x} } dx$

Step(ii):-

Let $1 + e^{2x} = t$

$e^{2x} = t -1$

$2e^{2x}dx = d t$

$e^{2x}dx = \frac{1}{2} d t$

= $\int\limits{( \sqrt{1+e^{2x} }) e^{2x} e^{2x} dx$

= $\int\limits {\sqrt{t}(t-1)\frac{1}{2} dt }$

= $\frac{1}{2} \int\limits {\sqrt{t} (t) -\sqrt{t} ) dt }$

= $\frac{1}{2} \int\limits {(t^{\frac{1}{2} } t^{1} +t^{\frac{1}{2} } ) } \, dx$

$= \frac{1}{2} \int\limits {(t^{\frac{3}{2} } +t^{\frac{1}{2} } ) } \, dx$

= $\frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{3}{2}+1 } + \frac{t^{\frac{1}{2} +1} }{\frac{1}{2}+1 } )+C$

= $\frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{5}{2} } + \frac{t^{\frac{1}{2} +1} }{\frac{3}{2} } )+C$

= $\frac{1}{2} (\frac{t^{\frac{5}{2} } }{\frac{5}{2} } + \frac{t^{\frac{3}{2} } }{\frac{3}{2} } )+C$

= $(\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C$

Final answer:-

= $(\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C$

3 0

2 years ago