Explain why the following problem will have an irrational answer 4.125+3

Answer:

y=7/36

Step-by-step explanation:

Since y varies inversely to the square of x, we can say

[tex]y = z/x^2[/tex]

where z is the constant of variation.

Then, from knowing that y=7/4 when x=1, we plug them in to find z.

[tex]7/4=z/(1^2)\\z=7/4[/tex]

Now we have the full equation,

[tex]y=7/4x^2[/tex]

Plug x=3 in and we get,

[tex]y=7/4(3^2) = 7/36[/tex]

Answer:

-3/2

Step-by-step explanation:

Since we have two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 7-4)/(1-3)

   = 3/-2

  = -3/2

Answer:

The answer is

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{y_{2} -y_{1}}{x_{2} -x_{1} } [/tex]

where

(x1 , y1) and (x2 , y2) are the points

m is the slope

From the question the points are

(3,4) and (1,7)

The slope is

[tex]m = \frac{7-4}{1 - 3} \\ = - \frac{3}{2} [/tex]

We have the final answer as

[tex] - \frac{3}{2} [/tex]

Hope this helps you

Answer:

9

Step-by-step explanation:

75*12%=

75*.12=9

Hey there! Glad I can be of assistance!!

Answer:

$9

Step-by-step explanation:

She will save $9 because the amount 75 so 12% of 75 is 9 and that 9 is the amount you save.

If satisfied leave a review and feel free to give me brainiest.

Answer

-4+12r

8r-6+2+4r

-6+2=-4

8r+4r=12r

Answer: $4.75.

Step-by-step explanation:

It is given that a news offers a subscription that costs $28.50 for 6 months.

We need to find the unit price per month.

The formula for unit price per month is

[tex]\text{Unit price per month}=\dfrac{\text{Total subscription cost}}{\text{Number of months}}[/tex]

[tex]\text{Unit price per month}=\dfrac{28.50}{6}[/tex]

[tex]\text{Unit price per month}=\dfrac{285}{60}[/tex]

[tex]\text{Unit price per month}=4.75[/tex]

Therefore, the unit price per month is $4.75.

Answer:

y=3x-16

Step-by-step explanation:

Answer:

x=2y+3

Step-by-step explanation:

x − 2y = 3

x=2y+3

Answer:

x=-5

Step-by-step explanation:

don't think thats a quadratic equation, in that case the answer is above, just subtract from both sides

The solution of given quadratic equation is ± √10

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Suppose that we have been given a function y = f(x) such that f(x) is quadratic. When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

Given the quadratic equation;

x² + 10 = 0

The solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given that, x² +0x + 10 = 0.

Here a = 1, b= 0 and c = 10

x = [-b ± √(b² - 4ac)]/2a

= [-0 ± √(0² - 40)]/2(1)

= [ ± √(0- 40)]/2

=  [± √(-40)]/2

= [ ± 2 √10]/2

= ± √10

Therefore the solution of given quadratic equation is ± √10

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Answer:

1

Step-by-step explanation:

1

a) 96 inches

2.54cm ................  1 inch

212cm ...................x inches

x = 212cm×1in/2.54cm = 83.46 inches

a) 96 inches

Answer:

d. 443.73

Step-by-step explanation:

i got it right on the test

Ralph approximate monthly lease payment is: d. $443. 73.

First step:

Residual value=$32,000×72%

Residual value=$23,040

Second step:

Depreciation=$32,000-$23,040

Depreciation=$8,960

Third step:

Base monthly lease payment=$8,960/36

Base monthly lease payment=$248.89

Fourth step:

Interest per month=($32,000+$23,040)×0.00354

Interest per month=$55,040×0.00354

Interest per month=$194.84

Fifth step

Monthly lease payment=$248.89+$194.84

Monthly lease payment=$443.73

Inconclusion Ralph approximate monthly lease payment is: d. $443. 73.

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Answer:

7 and 5

Step-by-step explanation:

The present age of Khalil is 7 years and the present age of Angela is 2 years.

Given that, in five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the present age of Khalil be x-5.

In five years:

Khalil's age = x-5+5=x

Angela's age = Khalil's present age

Angela's age = x-5

So, present angle of Angela's age = x-5-5=x-10

In three years:

Khalil's age = x-5+3=x-2

Angela's age =x-10+3=x-7

So, x-2=2(x-7)

⇒ x-2 = 2x-14

⇒ x=12

Khalil's present age = x-5=7 years and Angela's present age = x-10=2 years.

Therefore, the present age of Khalil is 7 years and the present age of Angela is 2 years.

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Answer:

36,750.

Step-by-step explanation:

The way to determine the number that is seven hundred times greater than 5.25 is by multiplying those numbers, the result being the number in question.

Thus, the following multiplication must be performed:

700 x 5.25 = X

3,675 = X

Thus, the number that is seven hundred times greater than 5.25 is 3,675.

Answer:

the answer is $27.18 US dollars

Step-by-step explanation: hope you found this helpful

Answer:

You are correct

Step-by-step explanation:

Hi,

[tex](f+g)(x)=6x-12+3x+8=9x-4\\\\(f-g)(x)=6x-12-3x-8=3x-20[/tex]

Thanks

Answer and Explanation:

Solution: The operation of concatenation for a set of string on p. and the set is

     AB = {XY | X ∈ A and y ∈ B}.

We need to satisfy all these following properties to find out the standard set is closed under concatenation.

1- Union of two standard sets also belongs to the classic collection. For example, A and B are regular. AUB also belongs to a regular group.

2- Compliment of two standards set A and B are A’ and B’ also belonging to the standard set.

3- Intersection of two standards set A and B is A∩B is also a regular set member.

4- The difference between two regular sets is also standard. For example, the difference between A and B is A-B is also a standard set.

The closure of the regular set is also standard, and the concatenation of traditional sets is regular.

Answer:

650

Step-by-step explanation:

650 will be the smallest number that rounds to 700 when rounding to the nearest 100th because any number less that 650 would not round too 700 and 650 will. hope this helps. i tried explaining the best i could. :)

Answer:

x=-8/7,Alternative form x=-1 1/7 ,x=1.142857

Step-by-step explanation:

f(x)=x+6x+8

substitute f(x)=0

collect like terms.

0=7x+8

Move the variable to the left.

-7x=8

Divide both sides

x=-8/7

Answer:

[tex]P=400000(2^t)-40000t[/tex]

Step-by-step explanation:

The initial number of mosquitoes is 400000, and they double each day. This represents an exponential growth equation. If t represent days and P represent the population of the mosquitoes, hence this can be represented by the equation:

[tex]P=400000(2^t)[/tex]

Also, the predators eat the mosquitoes at a rate of 40,000 mosquitoes/day. This means that each day, the mosquitoes reduce by 40000t, therefore this can be represented by:

[tex]P=400000(2^t)-40000t[/tex]

Answer:

20

Step-by-step explanation:

In 8 hours, it will leak 2.5 * 8 = 20 cups of water.

Answer:

i think its c

Step-by-step explanation:

Answer:

answer in  picture

Step-by-step explanation:

Answer:

  [tex](4.3\cdot 2.6)\times 10^{5+7}[/tex]

Step-by-step explanation:

All parts are multiplied. The powers of 10 are multiplied by adding their exponents. The product is formed as shown below.

Answer:  y = 1/2x -8  

Step-by-step explanation:

The equation will be in slope intercept form which uses the formula  y= mx +b   where m is the slope and b is the y-intercept and those are the only numbers need to write the equation.

The points are (2,-7) (8,-4) to find the slope using these points,find the change in their y values and divide it by the change in the x values.

-7- (-4) = -3

2 - 8 = - 6

-3/-6 =   1/2  

So in this case the  slope is 1/2, now input it into the equation and use one of the points coordinates to solve for b the y intercept.

-7 = 1/2(2) + b  

-7 =  1 + b

-1     -1

b = -8  

The y intercept is -8 so we will have the equation y = 1/2x -8

Answer:

c

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

2x-3=13

2x=13+3

2x=16

x=8

Answer:

I think its c

Step-by-step explanation:

Answer:

-3. 9/18, 12/20

Step-by-step explanation:

-3 is -3

9/18 is 0.5

12/20 is 0.6