If f(x) = x2 + 1 and g(x) = 2x - 5 Find: g(f(3))

Answer:

$1.02 million

Step-by-step explanation:

Given

[tex]Amount = \$1.22\ million[/tex]

[tex]\%\ increase = 20\%[/tex]

Required

Determine the amount in 2007

Let the amount in 2007 be represented with x.

The relationship between these parameters is:

[tex]1.22\ million = x + 20\%\ of\ x[/tex]

[tex]1220000 = x + 20\% * x[/tex]

[tex]1220000 = x + 0.20* x[/tex]

[tex]1220000 = x + 0.20x[/tex]

[tex]1220000 = 1.20x[/tex]

Divide both sides by 1.20

[tex]\frac{1220000}{1.20} = x[/tex]

[tex]1016666.67 = x[/tex]

[tex]x = 1016666.67[/tex]

Hence, they paid $1.02 million in 2007

Answer:

[tex]7\frac{11}{35}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{7}+4\frac{3}{5}[/tex]

add the whole numbers

[tex]2+4=6[/tex]

combine the fractions

[tex]\frac{5}{7}+\frac{3}{5}[/tex]

LCM is 35 because 7 * 5 =35

[tex]\frac{5}{7}=\frac{5\cdot \:5}{7\cdot \:5}=\frac{25}{35}[/tex]

[tex]\frac{3}{5}=\frac{3\cdot \:7}{5\cdot \:7}=\frac{21}{35}[/tex]

[tex]\frac{25}{35}+\frac{21}{35}=\frac{25+21}{35}[/tex]

[tex]=\frac{46}{35}[/tex]

change the improper fraction into mixed number

[tex]6+1\frac{11}{35}[/tex]

[tex]=7\frac{11}{35}[/tex]

Answer:

Step-by-step explanation:

[tex](a-b)^{2}[/tex] = [tex]a^{2}[/tex] - 2ab + [tex]b^{2}[/tex]

Hope this helps

plz mark as brainliest!!!!!

Answer:

Step-by-step explanation:The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. Example: In the triangle shown, tan(A)=68 or 34 and tan(B)=86 or 43 .

Given two sides

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Answer:

it’s 3/4

Step-by-step explanation:

it’s right for khan (trigonometric ratios in right triangles)

Answer:

6 100

Step-by-step explanation:

i found the answer because if you notice, once it gets to 3 52, 4 66, and 5, 82 it goes up 2 each time. So the answer would be 6 100!

Answer:

He took 30 weeks to save $ 500

Step-by-step explanation:

Let 'x' be the number of weeks

Money deposited after each week = $ 15

Money deposited 'x' weeks = 15 * x = 15x

Opening balance in his account = $50

So, money that will be in his account after x weeks =  50 +15x

Total money in the bank = $500

50 + 15x = 500

       15 x = 500 - 50 { Subtract 50 from both sides}

        15x = 450   { Divide both sides by 15}

     15x/15 = 450/15

x =  30 weeks

Answer:

yes

Step-by-step explanation:

Here's a chart that should help explain things a bit better.

Answer:

a and c are vertical angles

b and d are vertical angles

Step-by-step explanation:

Vertical angles are angles formed from the same lines, sharing the same vertex and opposite each other

a and c are vertical angles

b and d are vertical angles

Answer:

a and c are vertical angles

b and d are vertical angle

Step-by-step explanation:

Answer:

18 mph.-

Step-by-step explanation:

This is 2*54 / 6

= 18 m p h.

Answer:

6n2−5n−6

Step-by-step explanation:

Answer:

6n^2-5n-6           (btw "6n^2" means its 6n squared )

Step-by-step explanation:

Use the box Method. (Picture shows the box method)

once your done the simplified answer should be 6n^2-5n-6

Answer:

11 hours

Step-by-step explanation:

To find how many hours it took, divide -33 by -3

-33/-3

= 11

So, it took 11 hours for the change to be -33°F

Answer:

6.5

Step-by-step explanation:

5.5x5.5= 30.25.        30.25 divide 30 and 25 by 5 then you get 6.5

Answer:

[tex]\huge\boxed{8^{-2}=\dfrac{1}{64}}[/tex]

Step-by-step explanation:

[tex]a^{-n}=\dfrac{1}{a^n}\Rightarrow 8^{-2}=\dfrac{1}{8^2}=\dfrac{1}{8\cdot8}=\dfrac{1}{64}[/tex]

other examples:

[tex]3^{-1}=\dfrac{1}{3^1}=\dfrac{1}{3}\\\\4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{4\cdot4\cdot4}=\dfrac{1}{64}\\\\\left(\dfrac{1}{3}\right)^{-2}=3^2=3\cdot3=9\\\\\left(\dfrac{2}{5}\right)^{-3}=\left(\dfrac{5}{2}\right)^3=\dfrac{5^3}{2^3}=\dfrac{125}{8}[/tex]

Answer:

The answer is

Step-by-step explanation:

15/44

Answer:

This is a simple multiplication problem.

If 2 people, Amanda and her best friend divide evenly and each get $24.28, this means that the total is $24.28 x 2

$24.28 x 2

$48.56

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

Answer:

3.5

Step-by-step explanation:

The constant of proportionality is the slope of the line

slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{3.5}{1}[/tex] = 3.5

Answer:

3.5

Step-by-step explanation:

Answer:

the answer would be -3 because you would do 9-12 which would be -3

Answer:

D

Step-by-step explanation:

So we have the equation:

[tex]A=\frac{1}{2}(12)(3+7)[/tex]

And we want to find out which of the answer choices is not equivalent.

Thus, let's go through each of the choices.

A)

We have:

[tex]\frac{12(3+7)}{2}[/tex]

This is correct.

Our original equation can be written as:

[tex]A=\frac{1}{2}(\frac{12(3+7)}{1})[/tex]

And if we multiply straight across:

[tex]A=\frac{12(3+7)}{2}[/tex]

We'll get choice A. So choice A is correct.

B)

We have:

[tex]6(3+7)[/tex]

This is also correct.

From our original equation:

[tex]A=\frac{1}{2}(12)\cdot(3+7)[/tex]

If we multiply the first term together:

[tex]A=6(3+7)[/tex]

We'll get choice B. So, choice B is correct.

C)

We have:

[tex]0.5(12)(10)[/tex]

This is correct as well.

If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:

[tex]A=\frac{1}{2}(12)(3+7)\\A=0.5(12)(10)[/tex]

So, C is also correct.

D)

We have:

[tex]\frac{12}{2}\times\frac{10}{2}[/tex]

Note that this is not correct.

This attempted to use the distributive property. However, the distribute property does not work for multiplication. For instance:

[tex]3(2+1)\text{ indeed equals } 3(2)+3(1)[/tex]

However:

[tex]3(2\times1)\text{ does not equal} 3(2)\times3(1)[/tex]

So, choice D is not equivalent.

So choice D is our answer :)

If we evaluate it, we will get 30, in contrast to the 60 of the others.

Answer:

0

Step-by-step explanation:

16-4 (3+2÷2)

16-4 (3+1)

16-4×4

16-16

0 ans.

Answer:

1. [tex]x = \pm 5[/tex]

2. [tex]x = \pm i[/tex]

3. [tex]x = 5, -4[/tex]

Step-by-step explanation:

1.

[tex]x^2-25=0[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \pm \sqrt{25}[/tex]

[tex]x = \pm 5[/tex]

2.

[tex]x^2 + 1 = 0[/tex]

[tex]x^2 = -1[/tex]

[tex]x = \pm \sqrt{x-1}[/tex]

[tex]x = \pm i[/tex]

3.

[tex]x^2=x+20[/tex]

[tex]x^2 - x - 20 = 0[/tex]

[tex](x-5)(x+4)=0[/tex]

[tex]x = 5, -4[/tex]

Answer:

See below

Step-by-step explanation:

Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?

[tex]3b-4a, a=0.5 \text{ and } b=-0.333333...[/tex]

Once

[tex]$-0.3333333... = -\frac{1}{3} \text{ and } 0.5=\frac{1}{2} $[/tex]

[tex]$3\cdot \left(-\frac{1}{3}\right) - 4 \cdot \frac{1}{2} = -1 - 2 =\boxed{-3}$[/tex]

Q2. solution for equation  

[tex]5(x+1)-3(3x-1)=15(x-2)[/tex]

[tex]5x+5-9x+3 = 15x-30[/tex]

[tex]-4x+8 = 15x-30[/tex]

[tex]38 = 19x[/tex]

[tex]$x=\frac{38}{19} = \boxed{2}$[/tex]

Q3. which is not equivalent to [tex]4(2x-1)=3(x+1)-2[/tex]

Just try all the values.

None of them makes the equation equivalent.

[tex]8x-4=3x+1-2[/tex]

[tex]5x=5[/tex]

[tex]\boxed{x=1}[/tex]

Q4. if a<0 and b<0 which of the following is not positive

B. a+b

[tex]a<0 \implies \text{a is negative}[/tex]

[tex]b<0 \implies \text{b is negative}[/tex]

[tex]a \cdot b \implies \text{positive value}[/tex]

[tex]$\frac{a}{b} \implies \text{positive number}$[/tex]

[tex]a:b \text{ is just another notation for division}[/tex]

[tex]a+b \implies \text{negative number}[/tex]

Answer:

[tex]2n + 4 = 3n - 6[/tex]

Step-by-step explanation:

In order to translate from words into equarion, we just have to know what means what.

Twice a number can be represented as [tex]2n[/tex], adding four to that is [tex]2n + 4[/tex].

3 times a number is [tex]3n[/tex], and 6 less than that is [tex]3n-6[/tex].

So these are equal to each other, we get [tex]2n + 4 = 3n - 6[/tex].

Hope this helped!

Answer:

if y=4.then 6(r+4).

which is 6r+24.

and if it is equal to zero which is like this then it will be 6r+24=0.

which will be 6r=-24.

r= -24/6.

r= -4.

Answer:

x=13

Step-by-step explanation:

[tex]g(x)=-4\\[/tex]

Therefore, substituting the value in the equation

[tex]g(x)=\sqrt{x+3} -8\\=>-4=\sqrt{x+3}-8\\ =>-4+8=\sqrt{x+3} \\=>4=\sqrt{x+3}\\[/tex]

Squaring both sides,

[tex]=>4^{2}=\sqrt{(x+3)} ^{2}\\=>16=x+3 \\=> x=16-3\\\\=>x=13[/tex]

Answer: 2m-4

Step-by-step explanation:

 2(m-5)+6

=2m-10+6

=2m-(10-6)

=2m-4

Hope this helps!! :)

Please let me know if you have any question

Answer:

2m-4

Step-by-step explanation:

2(m-5)+6

=2m-10+6

=2m-4

Answer:

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be : 4048.17

Step-by-step explanation:

3000 deposit amount, 2.9 compound monthly interest .  save 80 dollars  per month at home .

A=p(1+r)^t

A=3000(1+0.029/12)^12t

A=3000(1.002417)^12t dollars

for the amount saved at home=80*12t=960t dollars

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be :

C(t)=3000(1.002417)^12t+960t

     =3088.17+960= 4048.17 dollars

Answer:

You use it to form general ideas and rules based on your experiences and observations

Answer:

y=8.4

Step-by-step explanation:

inverse proportion means y=k/x

k is the constant

y=12, x=7

k=xy ⇒7*12=84

y=84/x

y=84/10

y=8.4

As y varies inversely with x the value of y is 42/5 when x is 10.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, y varies inversely with x.

∴ y = k/x.

12 = k/7.

k = 84.

Now, x = 10.

∴ y = 84/10.

y = 42/5.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

Answer:

-15 = 7n + 8n

-15 = 15n

n = -1

plz brainlist me I need it

n = - 1

- 15 = 7n + 8n

15n = - 15

n = - 15 : 15

n = - 1

Answer:

Please see the attached images for full solution.

For question 3, the equation could have also been 3x°= 90°. However, I used ∠ sum of △ since I didnt want to assume that ∠ABC is a right angle.

Likewise for Q4, the polygon looks like a trapezium which means that the 2 horizontal lines are parallel and one could conclude that (3x +3)° +(2x +2)°= 180° (int. ∠s). But since it wasn't clearly indicated that they are parallel, I used the sum of interior angles to find x instead.

Answer:

-[tex]\sqrt{1}[/tex], [tex]\sqrt{2}[/tex], [tex]\frac{π}{2}[/tex]

Step-by-step explanation:

square roots and pie are irrational.