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3 years ago

Name the first five terms of each arithmetic sequence described an=7+5(n-1)

Mathematics

1 answer:

Butoxors [25]3 years ago

5 0

Answer:

7,12,17,22,27

Step-by-step explanation:

You just plug in 1,2,3,4,5 as n and add your values

so 7+5(1-1)=7

7+5(2-1)= 12 and so on

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I have no idea what im doing

omeli [17]

Answer:

x = - 6

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

<u>Let's factorize the numerator and denominator:</u>

3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

<u>We have same factor of x + 6:</u>

x + 6 = 0
x = - 6 is a hole

8 0

2 years ago

Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3

Nikitich [7]

Answer:

option D

Step-by-step explanation:

$f(x) = x^2 + 5x + 6$

$g(x)= \frac{1}{x+3}$

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x in f(x)

$f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6$

To simplify it we take LCD

LCD is (x+3)(x+3)

$\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}$

$\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}$

All the denominators are same so we combine the numerators

$\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}$

$\frac{6x^2+41x+70}{x^2+6x+9}$

Option D is correct

8 0

3 years ago

Read 2 more answers

a store owner wishes to make a new tea with a unique flavor by mixing black tea and oolong tea. if he has 35 pounds of oolong te

Verizon [17]

35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of black tea worth 1.80 per pound to be mixed to get the final mixture for 2.10 per pound, hence:

2.4(35) + 1.8(x) = 2.1(x + 35)

x = 35 pounds

35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0

2 years ago

Use the equation 2,401 = 76 – 2x. What power of 7 is 2,401?

zaharov [31]

Comment
I'm going to take a guess at this and say what you meant is 2401 = 7^(6 - 2x)

Step One
Find out the power of 7 that will equal 2401.
You could do it like this.
7^y = 2401 and just guess at some values.

y 7^y
1 7
2 49
3 7 * 7 * 7 = 343
4 7 * 7 * 7 * 7 = 2401 So the answer is 4

7^4 = 2401

Step 2
Equate the powers.
2401 = 7^(6 - 2x)
7^4 = 7^ (6 - 2x)
4 = 6 - 2x Subtract 6 from both sides.
4 - 6 = - 2x
-2 = - 2x divide by - 2
-2/-2 = x
x = 1 <<<<<<<<<<<<<answer

7 0

4 years ago

Read 2 more answers

PLEASE HELP ME!! I can’t figure this out

DochEvi [55]

Hello!

The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:

y – $y_{1}$ = m(x – $x_{1}$ )

In this case, M represents the slope while $X_{1}$ and $Y_{1}$ represent the corresponding X and Y values of any given point on the line.

We are given that the slope of the line is - $\frac{5}{7}$ . We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that $X_{1}$ is equal to 6 and $Y_{1}$ is equal to 2. Now insert all known values into the point-slope formula above:

y – 2 = - $\frac{5}{7}$ (x – 6)

We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.

I hope this helps!

7 0

3 years ago