The functions f(x) and g(x) are shown on the graph. f(x) = |x|

what is g(x)

Answer:

n=7

Step-by-step explanation:

71=10n+1

We move all terms to the left:

71-(10n+1)=0

We get rid of parentheses

-10n-1+71=0

We add all the numbers together, and all the variables

-10n+70=0

We move all terms containing n to the left, all other terms to the right

-10n=-70

n=-70/-10

n=7

Hope it helps

Answer:

The equation simplifies to n = 7.

Step-by-step explanation:

Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.

To do this, we're going to notice we have two like terms in the equation:

These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.

We are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.

We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.

This leaves us with a more simplified equation: 70 = 10n.

To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.

Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.

In addition to that, what we do on one side of the equation must be done on the other side of the equation.

[tex]\displaystyle \frac{10n}{10} = \frac{70}{10}[/tex]

This simplifies to n = 7, which is our final answer.

Answer: 1.44pi

Step-by-step explanation:

Answer:

21 pieces

Step-by-step explanation:

Given that,

Length of wood needed = 233 feet

The wood comes in lengths of 11 feet.

We need to find the number of pieces samuel need to buy. It can be done as follows :

Let he needed x peices. So

[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]

So, he will need approx 21 peices.

Answer:

The answer is "[tex]1\frac{5}{6}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]BH=\frac{2}{3} \cdot L[/tex]

       [tex]=\frac{2}{3} \cdot (2+\frac{3}{4}) \\\\=\frac{4}{3} +\frac{6}{12} \\\\=\frac{4}{3} +\frac{1}{2} \\\\=\frac{8+3}{6} \\\\=\frac{11}{6} \\\\= 1 \frac{5}{6} \\[/tex]

Answer:

The answer would be 1 5/6 !

Step-by-step explanation:

Answer:

what are you asking?

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The answer is 35.1 cm².

Hope this helps; have a great day!

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

_______________________________________________

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

SA = 790

Answer:

c

Step-by-step explanation:

Answer:

I think A or C

Step-by-step explanation: hope this was helpful

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

Answer:

$67.2

Step-by-step explanation:

8% of $52.50

52.5 × 8/100 = $4.2

20% of $52.50

52.5 × 20/100 = $10.5

total

$52.5 + $4.2 + $10.5 =$67.2

Answer:

f(−18)=−8

khan academy

Answer:

28.9

Step-by-step explanation:

2782 divied by 96 gives you 28.9.

Answer:

x = -2

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

(2x-1)= 5(x+1)

2x - 1 = 5x + 5

-2x -2x

- 1 = 3x + 5

-5 -5

-6 = 3x

-6/3= 3x/3

-2= x

Answer:

40,60,80

Step-by-step explanation:

2x+3x×4x=180

9x=180

x=20

2x=40

3x=60

4x=80

Answer:

Step-by-step explanation:

let the numbers be 7x,y,y,y.

7x+3y=36

3y=36-7x

[tex]y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\[/tex]

numbers are 7×3,5,5,5

or 21,5,5,5

21×5×5×5=2625

Answer:

63

Step-by-step explanation:

When d=9, the equation should be 7 times 9 because you need to plug 9 in. Therefore, 7 times 9 is 63! I hope that helps!

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

Answer:

Step-by-step explanation:

1. 3/7

2. 1/5

3. 7 and 21

Answer:

1) 3/4

2) 1/5

3) 7 and 21

4) 9 tokens a day

5) 6 laps a week

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]