Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}. 27 71 121

Answer:

D

Step-by-step explanation:

Let a be the number of TV sets that weight 30 kg and let b be the number of TV sets that weigh 50 kg.

So, all together, they have a total weight of 880. In other words:

[tex]30a+50b=880[/tex]

And, there are 20 TV sets all together. Thus:

[tex]a+b=20[/tex]

This is a system of equations. Solve by substitution. Subtract b from both sides in the second equation:

[tex]a+b=20\\a=20-b[/tex]

Substitute this into the first:

[tex]30a+50b=880\\30(20-b)+50b=880[/tex]

Distribute:

[tex]600-30b+50b=880[/tex]

Subtract 600 from both sides:

[tex]-30b+50b=280[/tex]

Combine like terms:

[tex]20b=280[/tex]

Divide both sides by 20:

[tex]b=14[/tex]

So, there are 14 TV sets that weight 50 kg.

Plug this in for the second equation to solve for a:

[tex]a+b=20[/tex]

Plug in 14 for b:

[tex]a+14=20[/tex]

Subtract 14 from both sides:

[tex]a=6[/tex]

Therefore, there are 6 TV sets that weigh 30 kg and 14 TV sets that weigh 50 kg.

Our answer is D :)

Step-by-step explanation:

Total number of T..V sets we have 20

Let x be the number of T.V sets that weigh 30 kg and y be the no. of sets that weigh 50 kg

When we add all we get a total of 880

[tex]\blue\star[/tex] 30a + 50b = 880

It is given to us that

[tex]\blue\star[/tex]a + b = 20. eq 1

[tex]\blue\star[/tex]a = 20-b

Put the value of a in ist equation we get,

[tex]\blue\star[/tex]30(20-b) + 50b =880

[tex]\blue\star[/tex]600 - 30b+50b = 880

[tex]\blue\star[/tex]600 + 20b = 880

[tex]\blue\star[/tex]20b = 280

[tex]\blue\star[/tex] b = 14

so there are 14 T.V sets that weigh 50 kg

put it in eq 1 we get

[tex]\blue\star[/tex] a + b =20

[tex]\blue\star[/tex]a + 14 = 20

[tex]\blue\star[/tex]a = 6

Hope it helps.

Answer:no its 24

Step-by-step explanation:

bc x is like 15

Answer:

width=60     length=540

Step-by-step explanation:

(w+9w)*2=1200

Answer:

C. selling a car and making a profit of $3,000

Step-by-step explanation:

An example of earning income from capital gains is selling a car and making a profit of $3,000 which the correct answer would be an option (C).

Gross capital formation for a unit or sector is calculated using the total value of gross fixed capital growth, changes in inventories, and asset acquisitions with fewer asset disposals.

As we know, from the meaning of capital gain:

When a capital asset is sold, the rise in value is known as a capital gain.

Selling a car and getting $3,000 in profit is one example of making money through capital gains.

An example of earning income from capital gains is selling a car and making a profit of $3,000

Hence, the answer would be option (C).

Learn more about the capital gross here:

https://brainly.com/question/2948028

#SPJ5

Answer:

Rs0.83

Step-by-step explanation:

i hope it helped you.

Answer:

Length = X + 3

Step-by-step explanation:

Examples for the length width relationship would go as follows:

Width    Length

1              4

2             5

3             6

4             7

Hope this helps!

-TheBusinessMan

Answer:

Length = x + 3

Step-by-step explanation:

Width = x

Length = 3 + Width

So, Length = 3 + x

So, if Width as a number, then Length will be 3 more than that number.

Step-by-step explanation:

4(3-U)+U = 22+2U

12-4U+U = 22 + 2U

12-5U= 22+2U

10=3U

U = 10/3

U= 3.3

Divide the number Janine did by the number Craig did:

36/9 = 4

Janine did 4 times as many as Craig

Answer:

4 times

Step-by-step explanation:

Because 36 divided by 9 = 4

So your answer is 4 times the number of problems.

Answer:

1.5

Step-by-step explanation:

Answer:  y=-8x -12

Step-by-step explanation:

-8x - y =12      to solve for y add -8x to both sides

+8x    +8x

 -y = 12 +8x   Now divide each side by -1

  y = -8x -12

Answer:

when say your expenses are $400 a month but your income is only $350 a month that is -$50 every month so in that case you aren't getting a positive cash flow (which would be making more money than your expenses) So you must be getting a negative cash flow in which you are losing money and going into debt.

Hope this Helps :)

Answer:

Larger angle= 153°

Smaller angle= 27°

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°

Let the smaller angle= x

Let the larger angle= y

X+y= 180... equation one

Y-126= x..... equation two

(Y-126) +y = 180

2y= 180+126

2y= 306

Y= 153°

Y-126= x.

153-126= x

27°=x

Answer:

Step-by-step explanation:

He earned $15.20. Just multiply the 2.00x4 and the 2.40x3

Answer:

-0.4 = −2/5

Step-by-step explanation:

Rewrite the decimal number as a fraction.

-0.4/1

Multiply to remove 1 decimal places.

-0.4/1 x 10/10 =4/10

Find the GCF.

4 ÷ 2/10 ÷ 2 = 2/5

x = 2/5

-2/5

Answer:

Domain: {XS, Red, Yellow, 45, A}

Range: {Size, Color, Number, Letter}

Step-by-step explanation:

The domain of the function shown in the mapping above are all variables that fall under "A word", while the range consists of all variables under "category".

The mapping shows that the relation represents a function, because each domain variable has exactly one range variable. No single domain variable is mapped to two different range variable.

The correct answer is:

Domain: {XS, Red, Yellow, 45, A}

Range: {Size, Color, Number, Letter}

Answer:

a = 60°

Step-by-step explanation:

Formula used:

[tex] \red{\boxed {\bold {\tan \: \theta = \cot \: (90\degree - \theta)}}} [/tex]

[tex] \tan \: 30 \degree = \cot \: a \\ \cot \: (90 \degree - 30 \degree) = \cot \: a \\ cot \: 60 \degree = \cot \: a \\ 60 \degree = a \\ \huge \red{ \boxed{ a = 60 \degree}}[/tex]

Answer:

[tex] t = 4x [/tex]

Step-by-step explanation:

We are given that in 1 month, Jessica takes 4 business trips. Take 4 as our coefficient or constant.

Let t be the total number of business trips Jessica has taken.

For 1 month, 4 trips are taken.

For x months, total business trips taken will be expressed as,

[tex] t = 4x [/tex]

Let's say for example, we have 5 months in a row, i.e. x = 5. Total business trips taken by Jessica can be gotten by simply plugging in the value of x.

[tex] t = 4(5) = 20 trips [/tex]

In 5 months in a row, Jessica takes 20 business trips.

Answer:

58

Step-by-step explanation:

We can use the Pythagorean theorem to find the area of the square for the third side.

The equation for the Pythagorean theorem is

a^2 + b^2 = c^2

where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.

a^2 + b^2 = c^2

3^2+7^2=x^2

9+49=x^2

58=x^2
The area of the square for the third side of the triangle is 58 units^2 squared.

The solution (with steps) and answer are included in the images below.

Best of Luck!

Multiply the cost per bottle by the number of bottles and add that to the cost of ice.

Answer : C = 0.75b + 3.78

Answer:

C = 0.75b + 3.78

Answer:

We need to evaluate this: [(-16)+4] / [(-2)+5]

First, we do the brackets:

[(-16)+4] = -16 + 4 = -12

[(-2) + 5] = -2 + 5 = 3

Now, we only need to divide, as we have calculated both brackets:

-12/3 = -4

(Remember that when dividing a negative number by a positive one, we always obtain a negative)

So the result is -4

Answer:

Annie walked 1 11/12 miles

Step-by-step explanation:

Trail= 4 1/2 miles

Annie ran the first 2/3 miles

Remaining miles= Total miles - Miles covered first

= 4 1/2 - 2/3

= 9/2 - 2/3

= 27-4 / 6

= 23/6 miles

Remaining miles = 23/6 miles

Annie walked for 1/2 of the remaining distance

1/2 of the remaining miles= 1/2 × 23/6

=23 / 12

= 1 11/12

Annie walked 1 11/12 miles

Answer:

(-17+7)-13 or -17-13+7

Step-by-step explanation:

Answer:

Step-by-step explanation: -17+7=10-13=-2

Answer:

in my opition is 2x(-7)

Step-by-step explanation:

hope it help

Answer:

Center: (3, - 4)

Step-by-step explanation:

We can start to solve this problem by converting this equation into standard form. In other words, by completing the square --- (1)

Subtract " 10 " from either side of the equation x² + y² - 6x + 8y + 10 = 0

x² + y² - 6x + 8y = - 10

Step 1: Complete the square for the expression " x² - 6x "

Using the quadratic equation ax² + bx + c we know that a = 1, b = - 6, c = 0. Assume that d = b / 2a. We have...

d = - 6 / 2(1) = - 6 / 2 = - 3

Now let's assume that e = c - (b²) / 4a...

e = 0 - (-6)² / 4(1) = 0 - 36 / 4 = 0 - 9 = 9 (Substitute values d and e)

(x - 3)² - 9

Step 2: Respectively we can complete the square for the remaining expression " y² + 8y "

Here a = 1, b = 8, c = 0

d = 8 / 2(1) = 8 / 2 = 4

e = 0 - (8)² / 4(1) = 0 - 64 / 4 = 0 - 16 = - 16 (Substitute values)

(y + 4)² - 16

This leaves us with the expression " (x - 3)² - 9 + (y + 4)² - 16 = - 10. " If we simplify this a bit further it leaves us with the following circle equation. Using this we can identify the center of the circle as well --- (2)

[tex]\mathrm{Standard}\:\mathrm{Circle}\:\mathrm{Equation} : (x - 3)^2 + (y +4)^2 = 15,\\\mathrm{General}\:\mathrm{Form} : (x - h)^2 + (y +k)^2 = r^2,\\\mathrm{Properties} : \mathrm{Center} = (3, - 4), \mathrm{Radius} = \sqrt{15}[/tex]

As you can see our center here is (3, - 4)

Answer:

Diverges

Step-by-step explanation:

since the value of  P = 5/6 < 1  the p-series diverges

summation of 1/n^5/6  at n = 1 and infinity

attached below is the detailed solution using Theorem 9.11 to determine the convergence or divergence of the p-series

The value of the p in the p-series is less than one. Then the p-series is a divergence.

It is an infinite type of series.

The p-series is given below.

[tex]1 + \dfrac{1}{\sqrt[6]{32} } +\dfrac{1}{\sqrt[6]{243} }+\dfrac{1}{\sqrt[6]{1024} }+\dfrac{1}{\sqrt[6]{3125} }[/tex]

The series can be written as

[tex]\dfrac{1}{1^{5/6}}+\dfrac{1}{2^{5/6}}+\dfrac{1}{3^{5/6}}+\dfrac{1}{4^{5/6}}+\dfrac{1}{5^{5/6}}[/tex]

Then the sum will be

[tex]\rm \Rightarrow \Sigma _{n=0} ^{\infty} \dfrac{1}{n^{5/6}} \\\\\\\Rightarrow P = \dfrac{5}{6} < 1[/tex]

Since the value of the p is <1. Then the series is divergence.

More about the p-series link is given below.

https://brainly.com/question/24249275

Step-by-step explanation:

Answer:30. hope this helps

Answer:

30

Step-by-step explanation:

9+(5x10)+1-(15x2)

Multiply the numbers

9+(50)+1-(30)

9+50+1-30

30

Answer:

c=30n+20 represents the cost to rent a truck for n hours.

Step-by-step explanation:

$30 dollars an hour multiplied by n.

30n

+20 for the insurance for the truck.

Hello, Please consider the following.

Fibonacci numbers are defined as

[tex]u_0=1\\\\u_1=1\\\\u_{n+2}=u_{n+1}+u_{n} \ for \ n\geq 0[/tex]

Step 1 - The proposition is true for n = 1

[tex]GCD(u_2,u_1) ?\\[/tex]

Let's apply Euclidean algorithm

[tex]u_1=1, u_2=2\\\\u_2=2\times u_1+0 = 2 \times 1 +0[/tex]

This is exactly 1 step and [tex]GCD(u_2,u_1) =1[/tex]

Step 2 - We assume that this is true for k, meaning that the Euclidean algorithm takes precisely k steps to prove that [tex]GCD(u_{k+1},u_{k})=1[/tex]

[tex]u_{k+2}=u_{k+1}+u_k \ and \ 0 < u_k < u_{k+1}[/tex]

So, the first step of the algorithm is

[tex]u_{k+2}=u_{k+1}\times 1 +u_{k}[/tex]

And from now, we need to find [tex]GCD(u_{k+1},u_k)[/tex] which is 1 and takes k steps, by induction Hypothesis. Therefore, it takes k + 1 steps to find [tex]GCD(u_{k+2},u_{k+1})=1[/tex]

Step 3 - Conclusion

We have just proved that the Euclidean algorithm takes precisely n steps to prove that [tex]GCD(u_{n+1},u_{n})=1[/tex]

Thanks

Answer:

5.25 or 21/4 or 5 1/4

Step-by-step explanation:

hope this helps