Solve the system by graphing

2x-3y=-6

7x-3y=9

The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and and the common multiple of 16 and 40 could be 2 .

What is prime factor ?

prime factor can be defined as the number which is divisible by that number and the number should be prime.

The prime factor tree for 16 as follows

16 = 2*8 = 2* 2 * 4 = 2*2*2*2

                16

            2         8

                     2    4

                         2     2

The prime factor tree for 40 as follows

40 = 2*20 = 2*2*10 = 2*2*2*5

                40

           2            20

                      2        10

                              2      5

Hence, The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and the common multiple of 16 and 40 could be 2 .

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The log base 2 calculator quickly computes the value of the logarithm function with base two, i.e., log₂(x) for arbitrary (positive) x

What do we mean by an expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent rules.

To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

To find which expression is equivalent to log₅32:

Law of logarithms:

The law of logarithms states that: log(a) b = log(10)b/log(10)a

Given the log function, which is written as log₅32

a = 5

b = 32

Substitute as: log₅32 = log32/log5

Therefore, the given expression log₅32 is equivalent to the expression log32/log5.

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The probability of choosing  a shade of blue and carpet is 1/6 greater than that of choosing a shade of yellow and wood flooring.

The total number of possible paint colors Daria can choose is 5 shades of blue + 2 shades of yellow + 2 shades of purple = 9 shades

The total number of flooring options Daria can choose from is carpet or wood = 2 options

The probability of choosing a shade of blue is 5/9 and the probability of choosing carpet is 1/2. So, the probability of choosing a shade of blue and carpet is (5/9) * (1/2) = 5/18.

The probability of choosing a shade of yellow is 2/9 and the probability of choosing wood flooring is 1/2. So, the probability of choosing a shade of yellow and wood flooring is (2/9) * (1/2) = 2/18

The probability of choosing a shade of blue and carpet is 5/18, and the probability of choosing a shade of yellow and wood flooring is 2/18. So, the probability of choosing a shade of blue and carpet is (5/18) - (2/18) = 3/18 or 1/6 greater than the probability of choosing a shade of yellow and wood flooring.

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By analytical geometry, the line y = - 2 · x - 1 represents a line perpendicular to the line shown in the picture. (Correct choice: C)

According to analytical geometry, lines are described by polynomials of the form:

y = m · x + b

Where:

And the equation of the perpendicular line pass through a point of original line and is related to the slope of the line by following relationship:

m · m' = - 1

Where:

First, determine the slope and intercept of the original line:

(x, y) = (0, 1)

1 = m  · 0 + b

b = 1

(x, y) = (2, 0)

0 = m · 2 + b

2 · m + b = 0

m = - b / 2

m = - 1 / 2

Second, calculate the slope of the perpendicular line:

m' = 1 / (- 1 / 2)

m' = - 2

Third, we conclude by discarding options that the equation of the perpendicular line is y = - 2 · x - 1.

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Answer:

i hope it helps

thank you

Answer:

210 cm2

Step-by-step explanation:

0.52, 0.73, 3/4

3/4=0.75

I don't know Spanish but I'm reasonably sure I know what the questions are asking. Please correct me if I'm wrong.

a. f(2) = -2^2+4(2)-10 = -4+8-10 = -6.

b. g(6) = 5(6)+1 = 30+1 = 31.

c. f(-1) = -(-1)^2+4(-1)-10 = -1-4-10 = -15.

d. This is saying to solve g(x)=16:

The answer is x=3.

Answer:

This law simply states that with addition and multiplication of numbers, you can change the grouping of the numbers in the problem and it will not affect the answer. Subtraction and division are NOT associative.

Step-by-step explanation:

Volume of prism is given by V= base area × height cubic unit. The expression 48 × 3  unit³ can be used to represent the volume of the prism.

Prism is a three-dimensional geometrical figure having identical two ends. A prism has flat faces, similar bases and equal cross sections. A prism is normally bounded by plane faces.

Volume of prism is calculated by the product of base area and height of the prism. At first, we need to calculate the base area and then height is multiplied with it.

Prisms are different types such as triangular prism, rectangular prism, pentagonal prism and hexagonal prism so depending on the figure area for the base is different. As a result, different shaped prism has different formula for volume calculation.

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Answer:

download algemator then you can find the answer

Answer:

"$ 2,880" is the right answer.

Step-by-step explanation:

The given values are:

Annual deposit,

PV = $1,800

Interest rate,

r = 2%

or,

  = 0.02

As we know,

⇒  [tex]FV=PV\times (1+r)n[/tex]

On substituting the values, we get

⇒         [tex]=1,800\times (1 + 0.02) 4 + 7 + 13[/tex]

⇒         [tex]=1,800\times (1.02)24[/tex]

⇒         [tex]=1,800\times 1.6[/tex]

⇒         [tex]= 2,880[/tex] ($)

The triangles can be proved congruent by SAS theorem.

Two or more triangles are said to be congruent if and only if their corresponding length of sides and measure of internal angles are equal. Therefore, congruency is a property of equality of the triangles.

To prove that two or more triangles are congruent, then their corresponding sides are compared if they are equal. Also the measure of their corresponding internal angles are considered if they are equal.

Therefore. in the given question, to determine if the triangles can be proved congruent by the appropriate theorem;

It can be seen that the two sides of the triangles are equal. Also the measure of their included angles are equal. Therefore, the triangles can be proved to be congruent by SAS.

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The likelihood event:

Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

The correct option is A.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Given:

Three softball players discussed their batting averages after a game.

Probability:

Player 1 = six tenths = 6/10

Player 2 = five ninths = 5/9

Player 3 = four sevenths = 4/7

To find better batting averages:

LCM of 10, 9 and 7.

10 = 2 x 5. 9 = 3 x 3, 7 = 7

So, the LCM (10, 9, 7) = 630

Now we have the number of chances are equal for each of the three players.

So, the P(Player 1) = 6/10 = 378/630

P(Player 2)= 5/9 = 350/630

P(Player 3)= 4/7 = 360/630

The Player 1 has better batting average than Player 2 and Player 3.

Therefore, Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).

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Answer:

y = 15x + 2

Step-by-step explanation:

Use the slope-intercept form:

y = mx + b becomes

y = 15x + 2

Answer:

y = 15x + 2

Step-by-step explanation:

An equation written in slope-intercept form will have the structure of:

y = mx + b

m is the slope. b is the y-intercept.

We know:

slope: 15

y-intercept: 2

Let's plug in what we know.

y = mx + b

y = 15x + 2

This is your equation.

Hope this helps!

Answer:

b. one solution

Step-by-step explanation:

hope this helps :)

Answer:

B. One solution

Step-by-step explanation:

Hope this helps!!

Answer:

1017in^3

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The original price of the computer is 112.5 .The amount saved is 33.75The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Here,

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Coupon = 30% off

Coupon = 30% off= 78.75

This means that the cost of the computer is only 70% since 30% is off.

70% = 78.75

We know that the original price is 100%.

So,

70% = 78.75

Multiply 100/70 on both sides.

100/70 x 70% = 100/70 x78.75

100% =112.5

The original price of the computer is 112.5

The amount saved is:

112.5-78.75=33.75

Thus,

The original price of the computer is 112.5

The amount saved is 33.75

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Answer:

95

Step-by-step explanation:

19 x 5 = 95

Step-by-step explanation:

i dont watch anime for shi and fav group Blackpink ;)

Answer: What is you’re favorite anime show?

Step-by-step explanation:

Back with the braids.

Answer:

fr ee points cuz there was nothing attached

Step-by-step explanation:

Step-by-step explanation:

Help, I don’t get the first part but understand the second

I am always there to help you

ask your question

hope it is helpful to you

Answer:

Step-by-step explanation:

The X intercept is 1 and the y-intercept is 1 aswell.

Answer:

x intercept: 1

y intercept: 1

Step-by-step explanation:

also, where u wrote quad: IIII, four in roman numerals in IV not IIII

Answer:

10!

Step-by-step explanation:

Basically you can see that one side of the "triangle" is 3, and the other is 9 (based on the distance, assuming that the line would be a hypotenuse). From here all you have to do is square 3 and square 9, add them, and find the square root

√(9+81) = 10

Answer:

2

When you cancel out the m (cause its the common factor) the only thing left is to simplify 10/5 which is 2.

Answer: (i) 0.234m

(ii) 8760000cm^2

Step-by-step explanation:

234÷1000=0.2234m

876x10^4=8760000cm^

Answer:

y = 3

Step-by-step explanation:

-7 = -4y + 5

Subtract 5 from both sides to isolate variable y:

-7 - 5 = -4y + 5 - 5

-12 = -4y + 0

-12 = -4y

Divide both sides by -4 to isolate variable y:

-12 ÷ -4 = -4y ÷ -4

(Negative ÷ Negative = Positive)

3 = 1y

3 = y

Check your work:

-7 = -4(3) + 5

Use PEMDAS:

-7 = -12 + 5

-7 = -7

Correct!

Substitution method is a method used to solve equations. It involves replacing a variable with its given value, which helps to isolate it and solve for the unknown. For example, if we have the equation 2x+5=17, we can solve for x by substituting 17 for 2x+5 and then subtracting 5 from both sides to obtain x=12.

The substitution method is a technique used to solve systems of equations. An example of the substitution method would be solving the system of equations:

x + 2y = 5

3x + 6y = 15

First, solve the first equation for x:

x = 5 - 2y

Substitute the expression for x into the second equation:

3(5 - 2y) + 6y = 15

Simplify:

15 - 6y + 6y = 15

Solve for y:

15 = 15

Now substitute the value of y back into the expression for x:

x = 5 - 2(3)

Solve for x:

x = -1

Therefore, the solution to the system of equations is:

x = -1, y = 3

Substitute x in equation 1 into equation 2, solve, then substitute y back into equation 1.

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Answer:

x=89

Step-by-step explanation:

Well all of a quadrilaterals interior angles add up to 360 degrees so you would add together 69+118+84 which equals 271, and then you'd subtract that from 360 which is 89. Hope this helps. :)