If f(x)=3x-2 and g(x)=2x+1, find (f+g)(x)

A. 5x - 3
B. x - 3
C. x - 1
D. 5x - 1

brainliest for help!!

Step-by-step explanation:

The formula :

[tex]\displaystyle \rm S=A\cdot \left (1+\frac{N}{100} \right )^{\big r}[/tex]

where r is years ; N is the percentage by which we increase the price ; A is the original price

In our case :

[tex]\rm r=1 \ \ ; \ \ A=100 \ \ ; \ \ N=7,5\% \\\\ S=1000\cdot \bigg( 1+\dfrac{7,5}{100} \bigg)^1=1000\cdot 1,075=\boxed{1075\$}[/tex]

Then the monthly salary is equal to:

[tex]\dfrac{1075}{12} \approx 89,58 \$[/tex]

Using arithmetic sequences, it is found that there are:

a) 257 numbers that are are divisible by 5 and by 7.

b) 1543 numbers that are divisible by 5 but not by 7.

c) 1800 numbers that are divisible by 5.

d) 1286 numbers that are divisible by 7.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term.

Item a:

We apply the general formula and solve for n, thus:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]9975 = 1015 + 35(n-1)[/tex]

[tex]35n - 35 = 8960[/tex]

[tex]35n = 8995[/tex]

[tex]n = \frac{8995}{35}[/tex]

[tex]n = 257[/tex]

There are 257 numbers that are are divisible by 5 and by 7.

Item b:

First, we find the number of multiples of 5, with [tex]a_1 = 1000, a_n = 9995, d = 5[/tex]. Thus:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]9995 = 1000 + 5(n-1)[/tex]

[tex]5n - 5 = 8995[/tex]

[tex]5n = 9000[/tex]

[tex]n = \frac{9000}{5}[/tex]

[tex]n = 1800[/tex]

Of those numbers, 257 are multiples of 35, which means that they also are multiplies of 7, thus they are removed.

1800 - 257 = 1543.

There are 1543 numbers that are divisible by 5 but not by 7.

Item c:

From the previous item, there are 1800 numbers that are divisible by 5.

Item d:

We find the number of multiples of 7, with [tex]a_1 = 1001, a_n = 9996, d = 7[/tex]. Thus:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]9996 = 1001 + 7(n-1)[/tex]

[tex]7n - 7 = 8995[/tex]

[tex]7n = 9002[/tex]

[tex]n = \frac{9002}{7}[/tex]

[tex]n = 1286[/tex]

There are 1286 numbers that are divisible by 7.

A similar problem is given at https://brainly.com/question/23901992

Answer:

4[tex]\sqrt{2}[/tex] cm AND 2[tex]\sqrt{2}[/tex] cm

Step-by-step explanation:

The length of a diagonal of a square means finding the hypotenuse (long side) of a right triangle with legs of the length of the side of the square. This means you can use a^2 + b^2 = c^2 to solve for the diagonal. Plugging in your values gets you 4^2 + 4^2 = c^2, simplify to get 16 + 16 = c^2, simplify further to get 32 = c^2. Isolate c by taking the square root of both sides to get [tex]\sqrt{32}[/tex] = c, which you can simplify by listing out the factors of 32 and finding pairs. 32 = 2 * 2 * 2 * 2 *2 (5 of them), meaning its square root is 4[tex]\sqrt{2}[/tex], which is the length of the diagonal. Don't forget your units! (:

For the second part, remember that the distance between the corner to the center of a square is half the diagonal of the square. You already have the length of that diagonal, so all you have to do is divide it by 2. Do so and you get 2[tex]\sqrt{2}[/tex]. Once again, don't forget your units! (:

If you're required to give decimal estimates, then pop those final answers into a calculator and round to the specified number of decimal places. No one will ask you to calculate irrational square roots, or at least no one should.

Answer:

The slope is 4, while the y intercept is 2

...starting with 2 cards and adding 4 cards each week

Step-by-step explanation:

The slope is always the coefficient (the number in front) of x.

The y intercept is the number on its own.

Hope this helps!

Answer:

Step-by-step explanation:

What is the HCF of two consecutive odd numbers?

The HCF of two consecutive odd number is 1.

Answer:

I don't know the answer sorry luv but ur pfp is cute

-xoxo

Answer:

8,100

Step-by-step explanation:

7,200 - 6,400 = 800 increased in 50. Years

What percentage is 800 of 6,400 (%/100 = is/of)

x/100 = 800/6400 (cross multiply)

(800*100)/6400 = 12.50%

(12.50 * 7200)/100 = 900 increased

7,200 + 900 = 8,100

Answer:

Down

Step-by-step explanation:

The line slants downward from left to right if the slope is negative.

Answer:

i do bellieve it is c

Step-by-step explanation:

Step-by-step explanation:

=3/0.05

=60ans.

mark me as a brainlist plz.

the answer is 60

You can solve it in calculator

Answer:  solutions are the same, just written differently,    inequality sign is reversed when multiplying. Yes, both students are correct. When multiplying by –7, the inequality symbol+ is reversed. The answers are the same, just written differently.

Step-by-step explanation:  Happy to Help. Brainliest Please

Answer:

Whats the question ???

Step-by-step explanation:

What do you need help with?

Expanded Notation Form:

 203,574 =

 200,000  

+ 0  

+ 3,000  

+ 500  

+ 70  

+ 4  

Expanded Factors Form:

   203,574 =

 2 × 100,000  

+ 0 × 10,000  

+ 3 × 1,000  

+ 5 × 100  

+ 7 × 10  

+ 4 × 1  

Expanded Exponential Form:

 203,574 =

2 × 105

+ 0 × 104

+ 3 × 103

+ 5 × 102

+ 7 × 101

+ 4 × 100

Answer:

Step-by-step explanation:

-72/80 = -36/40 = -18/20 = -9/10

look at the image of the graph

Answer:

[tex]n=-\frac{11}{16}[/tex]

Step-by-step explanation:

[tex]5n+\frac{1}{8}=3n-\frac{5}{4}[/tex]

[tex]5n-3n=-\frac{5}{4}-\frac{1}{8}[/tex]

[tex]2n=-\frac{11}{8}[/tex]

[tex]n=-\frac{11}{16}[/tex]

Step-by-step explanation:

=(5+8)hours

=12hours.

We can round 32 down to 30.

10 minutes for 5 math problems is the same as 2 minutes for 1 math problem. Therefore, we can estimate that it will take Jonah approximately 60 minutes to do 32 math problems.

Hope this helps!! :)

Answer:

Jill collected 70 Stamps

John collected 210 Stamps

Step-by-step explanation:

280/4=70

Please allow me to know if my answer helped you with a thank you!

<3Miss Hawaii

Answer:

4 hours.

Step-by-step explanation:

The difference between 6 and 2 is 4.

Answer:

That sounds delicious

Step-by-step explanation:

0.5:0.75  =   x:3

2 teaspoons of cinnamon needed

Answer:

Step-by-step explanation:

0.5 = 1/2

6 ÷ 0.5 = 12

or

6 : 1/2 =

6 × 2 = 12

Answer:

b

Step-by-step explanation:

pls give brainliest hope helpful

Answer:

53/8 = 53/8

Step-by-step explanation:

Here we will simplify 53/8 to its simplest form and convert it to a mixed number if necessary.

In the fraction 53/8, 53 is the numerator and 8 is the denominator.

When you ask "What is 53/8 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.

We do this by first finding the greatest common factor of 53 and 8, which is 1.

Then, we divide both 53 and 8 by the greatest common factor to get the following simplified fraction:

58/3

Therefore, this equation is true:

53/8 = 53/8

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

53/8 = 6 5/8

-Hope this helps.

Answer:

Step-by-step explanation:

Add up as fractions:

Option D

Option D

Answer:

-0.5879

......................................

Answer:

-0.866

Step-by-step explanation:

or  -(√3/2)... same thing just different format. Hope this helps

Answer:

False (no solution)

Step-by-step explanation:

What is the solution to the equation 3 − 5 + 10 = 36?

3 − 5 + 10 = 36

8 = 36

it's false