y + 2x = 3

How do I graph this?​

It is given that 1.07CAD is equivalent to 1 USD.

We have to convert the 85CAD to USD

Apply the unitary method

1.07CAD is equal to 1 USD

1 CAD is equal to 1/1.07 USD

85 CAD is equal to

The answer is 79.44 USD.

Answer:

  7 - (-3)

Step-by-step explanation:

You want the sum 7 + 3 expressed as a difference.

The difference of A and B is written A - B. The subtraction operation is involved.

Subtraction is the same as addition of the opposite. Or, addition is the same as subtracting the opposite:

  7 + 3 = 7 - (-3)

__

Additional comment

We can also write the difference as ...

  3 - (-7)

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The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Answer:

a

\(\= x  =  82 \)

b

\(s =  9.64 \)

Step-by-step explanation:

From the question we are told that

    The data is  87  91  86  82  72  91   60  77  80  79  83  96

Generally the point estimate for the mean is mathematically represented as

    \(\= x  =  \frac{\sum  x_i }{n}\)

=>  \(\= x  =  \frac{87 +91 + 86 + \cdots  + 96}{12}\)

=>    \(\= x  =  82 \)

Generally the point estimate for the standard deviation  is mathematically represented as

      \(s =  \sqrt{\frac{ \sum ( x_i  - \= x )^2 }{ n -1 } }\)

=>     \(s =  \sqrt{\frac{ ( 87 - 82  )^2 +( 91 - 82  )^2 + \cdots + ( 96 - 82  )^2  }{ 12 -1 } }\)

=>     \(s =  9.64 \)

Part(a): The required mean is 82

Part(b): The required standard deviation is 9.639

Mean:

The mean is one of the measures of central tendency.

Part(a):

The formula for finding the mean is,

\(\bar{x}=\frac{\sum x_i}{n}\)

Now, calculating the mean for the \(n=12\) observation

\(\bar{x}=\frac{87+91+86+82+72+91+60+77+80+79+83+96}{12}\\ \bar{x}=82\)

Part(b):

The formula for the standard deviation is,

\(S=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1} }\)

Substituting the given values into the above formula we get,

\(S=\sqrt{\frac{((87-82)^2+(91-82)^2)+(86-82)^2+(82-82)^2+(72-82)^2+(91-82)^2+(60-82)^2+(77-82)^2+...+(96-82)^2}{12-1} } \\S=9.639\)

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Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

Answer:

4

Step-by-step explanation:

I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.

In this question, the binomial is (x + 2)².

You can expand this to be (x + 2)(x + 2).

When you expand it using the FOIL method, you get x times x, which is x².

Next, the outside/outer terms are x and 2, which is 2x.

Then, you multiply the inside/inner terms 2 and x, which is 2x.

Last, you multiply the last terms, which are 2 and 2, which is 4.

When you put them together, it looks like this:

x² + 2x + 2x + 4.

You can simplify this to x² + 4x + 4.

So your answer is 4.

Answer:

Robot will take  hour to complete each task.

The robot can complete  tasks in one hour.

Step-by-step explanation

We have been given that a robot can complete 8 tasks in 3/10 hour. Each task takes the same amount of time.

To find the time taken by robot to complete each task we will divide total time taken to complete 8 tasks by 8 as:

Now we will convert division problem into multiplication problem by flipping the 2nd fraction.

Therefore, robot will take  hour to complete each task.

To find tasks completed by robot in one hour we will use proportions.

Therefore, the robot can complete  tasks in one hour.

Answer:

4/10

2/5

6/15

Step-by-step explanation:

We can change all fraction to decimal :

2/10 = 0.2

1/10 = 0.1

4/10 = 0.4

2/5 = 0.4

4/5 = 0.8

6/15 = 0.4

Base on that we can see that 4/10, 2/5, and 6/15 are equal

~lenvy~

Answer: C

Move the decimal in 3.1 over 4 times

Move the decimal in 2.0 over 6 times

Now it is 31,000 times 2,000,000 which equals 62,000,000,000. In scientific notation it is 6.2 times 10 to the tenth power

Answer:

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

Evaluate the expression in below steps:

Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

The surface area of a similar cylinder with a diameter 3 cm is  8.4375π cm².

If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be similar if their respective angles are congruent and their corresponding side length ratios are identical.

Given a cylinder with a diameter 8 cm and a surface area 60π cm²

let the radius be  R = dia/2 = 8/2= 4 cm

and let the height be H

total surface area of cylinder  = 2πR(H + R)

60π = 2π(4)(4 + H)

4 + H = 60/8

H = 7.5 - 4

h = 3.5 cm

and a cylinder is similar to given cylinder,

let radius be r and height be h

given dia = 3 cm

r = 3/2 = 1.5 cm

since both cylinders are similar so the ratio of their height to radius is equal,

R/H = r/h

h = Hr/R

h = (3.5)(1.5)/4

h = 1.3125 cm

total surface area of cylinder  = 2πr(h + r)

total surface area of cylinder  = 2π(1.5)(1.5 + 1.3125)

the total surface area of the cylinder  = 8.4375π cm²

Hence the area of a cylinder is 8.4375π cm².

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The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Answer:  \(y=4x-35\)

y = Sidney’s weekly salary

x = Casey’s weekly salary

Answer: y=4x-35

x is Casey's salary

Y is Sidney's salary

Step-by-step explanation:

Sidney makes a quarter of Casey,

y=4x,

Then it also states that he makes 35 less than the first equation.

Therefore,

Y=4x-35

The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

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Answer:

They will get 2 each :/

Step-by-step explanation:

Answer:

2.4 part

Step-by-step explanation:

here's your solution

=> total number of cupcakes made by

Samantha = 12

=> number of friends for equal distribution = 5

=> then she needs to divide 12by 5

=> 12/5 =2.4 part

The probability the child arranges the blocks in such a way that block f is in either the first position or the last position is found to be 1/3.

The child under observation of the researcher is given 6 unequally labelled block that are number as, a, b, c, d, e and f.

Now, the total number ways in which the child can arrange these block is,

Total possible ways = 6 x 5 x 4 x 3 x 2 x 1

Total possible ways = 720

Now, if the position of the block labelled f is fixed at either 1st or the last position then, total such ways are,

= 2 x 5 x 4 x 3 x 2 x 1

= 240

So, the probability that the child arranges the blocks in such a way that block f is in either the 1st position or the last position,

P = 240/720

P = 1/3

So, the probability is found to be 1/3.

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Let x be the number of square centimeters in 320 square inches

Using proportion,

0.16 square inches = 1 square centimeter

320 square inches = x

cross-multiply

0.16x = 320

Divide both-side by 0.16

x = 2000 square centimeters

The LCM of 4 and 6 is 12.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, common multiples of 4 and 6 are 12, 24 and 36, but the lowest of those is 12; therefore, the lowest common multiple of 4 and 6 is 12.

Given:

4: 2 x 2

6: 2 x 3

Now, as there is one 2 common in both then it will be written for one time.

and the rest uncommon numbers are written as same as well.

So, LCM( 4, 6)= 2 x 2 x 3 = 12

Hence, the LCM of 4 and 6 is 12.

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Answer:

ITS UNDEFINED

Step-by-step explanation:

2-3)/2^2 - 4

-1/(4-4)

-1/0

ITS UNDEFINED

Answer:

\(\Large \boxed{\mathrm{discontinuous \ with \ a \ point \ discontinuity}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

\(\displaystyle f(x)=\frac{x-3}{x^2-4}\)

When x = 2.

We can see that the denominator is equal to 0 when the input value is 2.

\(2^2-4=4-4=0\)

Obtaining a zero in the denominator indicates a point of discontinuity.

In the graph below, we can see that the function is discontinuous at x = 2.

\(\rule[225]{225}{2}\)

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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Answer:

4/5

Step-by-step explanation:

Cosine ∠x = Adjacent side of ∠x / hypotenuse

Solving :

Answer:

TRUE

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

8m - 6 < 10

Add 6 to each side

8m -6+6 < 10+6

8m < 16

Divide by 8

8m/8 <16/8

m < 2

m must be less than 2

2 is not a solution

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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13773847837383738373733338

Answer:

0.6-2.1=1.5

Step-by-step explanation:

0.6-2.1=-1.5

0.6-2.1= - I2.1-0.6I

2.1

-0.6

--------

1.5

Answer:

Table (4)

Step-by-step explanation:

If data in the given tables show the proportional relation then they will follow the rule,

y = kx

k = \(\frac{y}{x}\)

where 'k' = proportionality constant

From table (1),

k = \(\frac{2}{1}\) = 2

k = \(\frac{3}{2}=1.5\)

But 2 ≠ 1.5

So the data in the table (1) is not proportional.

Table (2)

k = \(\frac{0}{2}=0\)

k = \(\frac{2}{4}=0.5\)

Therefore, data in the table is not proportional.

Table (3)

k = \(\frac{1}{0}\) = Not defined

k = \(\frac{3}{2}=1.5\)

Data is not proportional.

Table (4)

k = \(\frac{y}{x}=\frac{-6}{-2}\)

  = 3

k = \(\frac{3}{1}=3\)

3 = 3

Therefore, data given in table (4) represents the proportional relationship.

The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

Answer:

2x^7

Step-by-step explanation:

add the exponents because they both are x

2x^4*x^3=2x^7