solve the equation
45 = 3(x + 1)

Answers

Answer 1

Answer:

x = 14

Step-by-step explanation:

45 = 3(x + 1)

Distribute the 3

3(x) = 3x

3(1) = 3

We now have 45 = 3x + 3

Subtract 3 from both sides

45 - 3 = 42

3 - 3 cancels out

We now have 42 = 3x

Divide both sides by 3

42/3 = 14

3x / 3 = x

We're left with x = 14

Answer 2

Answer:

x = 14

Step-by-step explanation:

45 = 3(x + 1)

Distribute

45 = 3x + 3

-3           -3

----------------

42 = 3x

----    ----

3       3

14   =  x


Related Questions

On a piece of paper graph f(x) 2x(3)^x then determine which graph represents the function

Answers

Answer:

ok

What do you want me to answer ?

Express 200 g as a percentage of 4 kg

Answers

Answer:

5%

Step-by-step explanation:

Both should be in same measurement. so convert 4 kg to gram

1 Kg = 1000 g

4 kg = 4 * 1000 = 4000 g

[tex]\frac{200}{4000}*100=\frac{2}{40}*100\\\\=\frac{1}{20}*100 = 1 * 5\\[/tex]

= 5%

Which graphs are the graphs of even functions?

HELP ASAP

Answers

Answer:

Step-by-step explanation:

Even functions have symmetry about the y-axis, so the graphs of even functions are the bottom 2.


Sarah borrows £500 for 2 years at a rate of 15% to buy a
new laptop.
Calculate the simple interest she will pay on this loan.

Answers

Answer: 150 pounds

Step-by-step explanation:

I have a lot of algebra problems. Someone help me even with this one please!

Answers

Answer: Choice A

L = 65 - 15d; discrete

===============================================

Explanation:

He starts with 65 cm of bread. After the first day he has 65-15 = 50 cm left over. After the second day he has 65-15*2 = 35 cm left over, and so on.

In general, he has 65-15d centimeters left over after d number of days have elapsed. For example, if d = 3 days pass by, then he has 65-15d = 65-15*3 = 65-45 = 20 cm left over.

So that's why the equation we're after is L = 65-15d where d is the number of days, and L is the amount left over in cm.

The number of days is discrete because we're dealing with the set of nonnegative numbers {0,1,2,3,4,...}. We can't have d = 2.5 for instance.

Because the input variable d is discrete, this automatically means L is discrete as well. Consider a finite domain such as {0,1,2,3}. This finite domain would map to the finite range {65,50,35,20}. These two finite sets are sufficient to say we have a discrete function.

A discrete function leads to a discrete graph which is simply a set of points. You would not connect the dots to form a straight line (simply leave the points as separate islands).

help pls and explain!!!

If x^2 + kx + 6 = (x+n)(x + 3) for all values of x, where k and n are constants, what is the value of k?
A) 5
B) 3
C) 2
D) 1

Answers

Answer:

A) 5

Step-by-step explanation:

We are given that:

[tex]x^2+kx+6=(x+n)(x+3)[/tex]

Where k and n are constants.

And we want to find the value of k.

We can expand the right-hand side:

[tex]\displaystyle =x(x+n)+3(x+n)\\ \\ = x^2+nx+3x+3n \\ \\ = x^2 + (n+3)x+3n[/tex]

Hence:

[tex]x^2+kx+6=x^2+(n+3)x+3n[/tex]

The coefficients of each term must be equivalent. In other words:

[tex]k=n+3\text{ and } 6=3n[/tex]

Solve for n:

[tex]n=2[/tex]

Now, we can solve for k:

[tex]k=(2)+3=5[/tex]

Our answer is A.

help pls and explain!!
Each molecule of aluminum oxide (Al2,03) is
composed of 2 aluminum atoms and 3 oxygen atoms.
How many more oxygen atoms than aluminum
atoms are present in 100 molecules of aluminum
oxide?

Answers

Answer:

100

Step-by-step explanation:

[tex](100 \times 3) - (100 \times 2) = 100 [/tex]

(3/2)^(-2).......................................................................

Answers

Answer:

4/9

Step-by-step explanation:

First of all we need to get rid of the -2 exponent and make it positive in order  to solve this equation.

Therefore to do this we just use the reciprocal of 3/2 which is 2/3

Now we have (2/3)^2

Since 2/3 is being squared we used the following equation below:

(2/3) * (2/3)

We multiply 2/3 by itself twice since 2 is the exponent.

Then we get:

2^2

-----

3^2

2 squared is 4 and 3 squared is 9.

Therefore the final answer is 4/9.

I hope this helps have a good rest of your day!

Answer:

4/9

Step-by-step explanation:

(3/2)^(-2)

(3/2)^2=(3/2)(3/2)=9/4

However, ^(-2) means 1/(9/4), which gives you 4/9.

Question 4 of 10 What is the equation of the following line? Be sure to scroll down first to see all answer options. (6,2) O A y= 22 B. y=-3x O c. y=6x O D. y = 1 x O E y=3x O F. y = 1 x​

Answers

E y=3x

By using a (the slope) equals delta y divided by delta x

The equation of the line will be y = 1/3x. The correct option is F.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

The slope of the line is calculated as,

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

The two points are (6,2) and (0,0). Calculate the slope of the line,

[tex]m = \dfrac{0 - 2}{0-6}[/tex]

m = 1 / 3

The equation of the line can be written as,

y = mx +c

y = 1/3x + 0

y = 1/3x

To know more about an equation of the line follow

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What is the shape of this distribution? A. Unimodal skewed B. Uniform C. Bimodal symmetric D. Unimodal symmetric E. Bimodal skewed​

Answers

Answer:

D

Step-by-step explanation:

It can't be C and B since it doesn't have two parts, and if it was uniform it would have another part attached to the bottom. Moreover, it can't be A since it isn't positively skewed or negatively skewed, so it must be D.

The shape of this distribution is Unimodal symmetric.

Option D is the correct answer.

What is a histogram?

A histogram is a representation of the distribution of data with intervals.

We have,

In statistics, a distribution is considered unimodal symmetric if it has a single mode or peak and is symmetric around that mode.

This means that the data is evenly distributed on both sides of the mode and is equally likely to occur on either side.

A common example of a unimodal symmetric distribution is the normal distribution, also known as the Gaussian distribution or bell curve.

Thus, the shape of this distribution is Unimodal symmetric.

Learn more about histograms here:

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Solve for x. Thank you

Answers

Answer:

Step-by-step explanation:

B/c  the bigger triangle is a copy of the smaller we can say

8[tex]\sqrt{3}[/tex] / 12  = x / 8[tex]\sqrt{3}[/tex]

then, solve for x

8[tex]\sqrt{3}[/tex](8[tex]\sqrt{3}[/tex]/12) = x

(64 *3) 12 = x

192 /12 = x

16 = x

nice,  the first answer looks good , then :P

Answer:

16

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?

14
16
18
20

Answers

Answer:

18

Step-by-step explanation:

Let

S = sum of the measures of the interior angles of a polygon

n = number of sides of a polygon

The equation is

S = (n - 2) * 180°

Where,

S = 2,880°

S = (n - 2) * 180°

2,880° = (n - 2) * 180°

2,880° = 180°n - 360°

2,880° + 360° = 180°n

3,240° = 180°n

Divide both sides by 180°

n = 3,240° / 180°

n = 18

Good evening everyone, the correct answer is 18 sides.

A polygon with 18 sides' interior angles will add up to 2880 degrees.

Have a blessed night.

will give brainliest, look at the picture. HURRY PLSS

Answers

Answer:

triangle s

that is my answer

A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it?
a. 180 inches
b. 250 inches
c. 210 inches
d. 200 inches

Answers

Answer:

A. 180

Step-by-step explanation:

5×6= 30

150+30

= 180

Answer:

a

Step-by-step explanation:

x/150=6/5

x=6/5×150=6×30=180 inches.

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Choose the correct answer from the given four options: In an AP, if d = –4, n = 7, an = 4, then a is *

6

20

7

28​

Answers

[tex]a = 28.[/tex]

Step-by-step explanation:

[tex] {a}n = a + (n - 1)d[/tex]

[tex]4 = a + (7 - 1)( - 4)[/tex]

[tex]4 = a + 6( - 4)[/tex]

[tex]4 = a + ( - 24)[/tex]

[tex]4 = a - 24[/tex]

[tex]4 + 24 = a[/tex]

[tex]28 = a[/tex]

(OR)

[tex]a = 28.[/tex]

find k so that x-1 is a factor of x^3 - 3x^2 + kx - 1

Answers

Answer:

[tex]{ \bf {factor : { \tt{x - 1}}}} \\ x - 1 = 0 \\ x = 1 \\ { \tt{f(x) = {x}^{3} - {3x}^{2} + kx - 1}} \\ { \tt{f(1) : {(1)}^{3} - 3 {(1)}^{2} + k(1) - 1 = 0}} \\ { \tt{k - 3 = 0}} \\ { \tt{k = 3}}[/tex]

Answer:

k = 3

Step-by-step explanation:

If x-1 is a factor of x³ - 3x² + kx - 1 then value of x is 1.

f (x ) = x³ - 3x² + Kx - 1 , then

plug 1 as x in the expression.

f ( 1) = ( 1)³ - 3 ( 1)² + k (1) - 1 = 0

expand exponents

1 - 3 + k - 1 = 0

combine like terms

-3 + k = 0

Add 3 to both side

k = 3

I will mark you brainlist if you helppp me pls and thankyouuu

Answers

Answer:

1 option is correct nd your answer is also correct

Help me out plz bbbhbbhh

Answers

5.) -3x - 12
hopefully that’s the answer you needed

the solution is in the picture ☝️

ANSWER: 240 hours

this is for n.12

Suppose Ax = b always has at least one solution no matter what b is. Why AT y = 0 has only the trivial solution y = 0?

Answers

Answer:

For the first equation we have:

A*x = b

solving for x, we get:

x = b/A

If it always has a solution, then we can not have A = 0, because that causes an undefined operation.

so for example, if we have A = 1 and b = 2

x = b/A = 2/1

For the other case,

A*y = 0

dividing both sides by A

y = 0/A = 0

y = 0

Here we have only one possible solution, the trivial one, y = 0.

And the dependence on A disappears (because the quotient between zero and a number different than zero is always zero)

PLEASE HELP ASAP

In the diagram below, ΔABC ≅ ΔSTR. Complete the statement BC ≅

A. AC
B. TR
C. ST
D. SR

Answers

Answer:

a

Step-by-step explanation:

The complete statement is BC ≅ TR.

What is triangle theorem?

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, exists a fundamental relation in Euclidean geometry among the three sides of a right triangle. It expresses that the area of the square whose side exists the hypotenuse stands equivalent to the sum of the areas of the squares on the other two sides.

Using the similarity of triangle theorem BC ≅ TR

To learn more about triangle refer to:

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Which statement about a right triangle is true?

A: The length of each leg equals 1/2 of the hypotenuse.

B: The square of the hypotenuse is equal to the sum of the squares of the legs.

C: One leg is always longer than the hypotenuse.

D: A right triangle can have only one obtuse angle.

Answers

Answer:

the square of hypotenuse rs eqaul to the sum of the square of the legs

Express 85mm as a percentage of 1metre​

Answers

Answer:

Step-by-step explanation:

85/1000 because we said that 1 meter = 1000 mililiters

Divide both sides by 5 and then you have 17/200

then divide both sides by 2 (to get it over 100) =

8.5/100

.085%

Hope that helps!!

You could also just do 85/1000 you would get the same answer!!

Read the following excerpt from a personal narrative essay. Based on the excerpt, what did the writer learn from her personal experience?

Have you ever been canoeing? I went on a canoeing trip with my mom, dad, and two brothers when I turned 13. It was one of the best days of my life. It was exciting, scary, and challenging all at once. At first I couldn’t believe those long, narrow pieces of wood could hold all five of us. But our instructor told us that canoes have been around for many years. He also told us some interesting facts about the history of canoe, like how American Indians used canoes as a way to travel quickly.

He patted the wood of the canoe we would be using. “It’s made of an old tree trunk,” he said.

I asked the question that had been bothering me ever since I saw our canoe. “Can it really hold all of us?” I pointed to my brothers and me. “It looks like the bottom could fall right off.”

The instructor laughed. “Oh, you’ll be surprised how strong this wood is. If our customers were always drowning, we’d have a 'sinking' business on our hands.”

He laughed some more at his own joke. Then he became serious and showed us how to keep our balance while getting into and out of the boat. He also showed me how to grip the paddle so that my left hand would guide the boat and my right hand would give the paddle power.

A.
Canoeing is dangerous, and only people who are experts can do it.
B.
Even events that seem a little scary can turn out to be great.
C.
The best age to go on a canoeing trip is 13.
D.
Canoeing can cause injury if you’re new to the sport.

Answers

The best answer is b

A clínica odontológica Dentes Felizes calcula o valor de seus atendimentos a partir de uma taxa fixa de R$ 100,00 e R$ 60,00 por cada obturação.

Answers

Answer:

$ 100 + $ 60 y

Step-by-step explanation:

The dental clinic Dentes Felizes calculates the value of its services based on a fixed fee of R$ 100.00 and R$ 60.00 for each filling.

Let the total number of fillings is y.

The total cost of fillings = $ 60 x y =  $ 60 y

The total cost of the treatment = $ 100 + $ 60 y

Integration. Please help ASAP

Answers

Answer:

I hope this helps

Step-by-step explanation:

write additive inverse of a) 21/18 b) -2/8​

Answers

Answer:

a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].

Step-by-step explanation:

Let be [tex]u[/tex] a real number, its additive inverse is a real number [tex]v[/tex] so that:

[tex]u+v = 0[/tex]

That is,

[tex]v = - u[/tex] (1)

Then, the additive inverses of [tex]\frac{21}{18}[/tex] and [tex]-\frac{2}{8}[/tex] are, respectively:

a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].

What is the scale factor from abc to def?

Answers

Answer:

the answer is 8 because DEF is 8 times larger than ABC.

Step-by-step explanation:

hope that helps>3

Answer:

3

Step-by-step explanation:

To find scale factor, you need to divide two of the given sides. Meaning you can do any corresponding sides. So, for now, I will do 12 from DEF and 4 from ABC.

12 ÷ 4 = 3

To check if it is accurately 3, you will do it again (optional). You can use 15 from DEF and 5 from ABC

15 ÷ 5 = 3

Since both are 3, that will be the scale factor.

The answer is 3.

Hiệu điện thế giữa hai điểm M và N là UMN = 100 V. Một điện tích q = -2μC di chuyển từ M đến N thì công của lực điện là:

Answers

Answer:

The work done is - 200 μJ.

Step-by-step explanation:

The potential difference between two points M and N is UMN = 100 V. A charge q = -2μC moves from M to N, the work of the electric force is:

Potential difference, V = 100 V

Charge, q = - 2 μC

The potential difference is defined as the amount of work done in bringing a unit positive test charge from one point to another in the electric field.

So, W = q V

W = - 2 μC x 100 V = - 200 μJ

Classify the following triangle. Check all that apply.
113
Jason
A. Isosceles
B. Scalene
O C. Acute
D. Right
E. Equilateral
OF. Obtuse

Answers

Answer:

A

Step-by-step explanation:

Because 113 %45*45 that gives you isosceles

Answer:isosceles and right.

Step-by-step explanation:

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