Evaluate the expression when x= 6 and y= -4.
-x + 6y

Rounding to an estimate, Sachin will have enough gas to go to both places before he runs out of gas.

An estimate is an equivalent numerical value obtained by rounding off.

The result of an estimate is not an exact value.  The value represents the nearest rounded value.

For instance, 75.9% can be estimated or rounded off to 76%.  32 minutes can be rounded off or approximated to ¹/₂ hour.

Driving distance before getting gas = 110 miles

The distance to his friend's house = 67 miles

The distance to his mom's house = 32 miles

The total distance to be covered on the available gas = 99 miles

Estimated distance to be covered = < 100 miles

Thus, using estimation, Sachin will still have more than 10 miles to drive before he gets gas.

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The equation solved for 'd' gives  d =  3f - g³/ 4h

The subject of a formula is defined as the variable expressed in terms of the other variables.

It is also the variable that is worked out in a given equation or expression;

Given the equation;

4hd = 3f - g³

To solve for 'd'

Divide both sides by the coefficients of d, we have;

4hd/ 4h =  3f - g³/ 4h

We then have

d =  3f - g³/ 4h

Thus, the equation solved for 'd' gives  d =  3f - g³/ 4h

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It is true. For all rational numbers a and b, a−b = a + (−b).

Given that,
To determine whether the statement, "For all rational numbers a and b, a−b = a + (−b)." is true or false.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

Here,
= a + (-b)
Since in the parenthesis there is a negative value, when we open the parenthesis the sign of the arithmetic operator will change accordingly,
So,
= a - b
So, the condition is true for all rational numbers.

Thus, It is true. For all rational numbers a and b, a−b = a + (−b).

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The area of the rectangle is 10x² - 13x - 3.

It should be noted that the area of a rectangle is the length multiplied by the width.

Here, the dimensions of a rectangle are 2x-3 and 5x+1.

The area will be:

= (2x - 3)(5x + 1)

= 10x² + 2x - 15x - 3

= 10x² - 13x - 3

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Answer:

Answer = (2)n+(2)

Step-by-step explanation:

                    first difference = -2

                    Now,   -2 = -2 × (n) + (0)        if      n = 1          

                        or     -2 = -2 × (n) + (-6)      if       n = -2

                        or     -2 =  |-2| ×(n) + 2   ::::  -2 = 2n +2       if      n = -2

Answer: -21

Step-by-step explanation:

x = -3 and y = -2

x²-5xy=

(-3)²-5(-3)(-2)=

9-5(-(-6))=

9-5(6)=

9-30=

-(30-9)=-21

Answer:

400

Step-by-step explanation:

[tex]R(x)=\frac{2000x^2}{x^2+4}[/tex]

Since x represents the number of years since publication, the revenue at the end of the first year would be found by just plugging in 1 into the function.

[tex]R(1)=\frac{2000(1)^2}{(1)^2+4} \\\\R(1)=400[/tex]

The approximate no . of miles Philip traveled are 4 . 98 * ( 10 ^ 5 ) miles .

Given : the circumference of earth 2.49 x ( 10^4 ) miles

To calculate :  the approximate number of miles Philip traveled

Philip  traveled 20 times

⇒ 20 * circumference of circle

⇒ 20 * [ 2.49 x ( 10^4 ) ]

  ( 2 * 2.49 ) * ( 10 ^ 5 )

= 4 . 98 * ( 10 ^ 5 )

Hence , the approximate no . of miles Philip traveled are 4 . 98 * ( 10 ^ 5 ) miles .

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Answer:

A negative exponent flips the fraction and turns the exponent positive, and vice versa.

1/121 = 1/1211 = 121-1

As an example, 5-2 = 1/25, and 1/5-2 = 25.

During an isosceles triangle two angles are identical, adding up to a total of 180, and its x value is 78.

Isosceles triangle: what is it?

In geometry, an isosceles triangle is one with at least two sides of equal length. There are two ways to define it: either as having precisely two sides of equal length or at least two sides of equal length, with the equilateral triangle being an exception to the second definition.

The aforementioned claim states that a triangle's total number of angles is 180.

the total of all angles in a triangle is 180.

⟹24+x+x=180

24+2x=180

12+x=90

x=90−12

x=78

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Step-by-step explanation:

Given that

To find

So, according to the question

we have,

We know that,

  Probability P(E) = [tex]\frac{possible\;events}{no.\;of\;events}[/tex]

There is,

possible event is 1, and no. of events are 5.

So, we can say that

   [tex]P(E) = \frac{1}{5}[/tex]

Answer:

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Answer:3

Step-by-step explanation:

The value of the constant k such that the system has infinitely many solutions is; -2.

It follows from the task content that the system of equations given upon observation are multiples.

Hence, by multiplying the second equation by -2; we have;

-4x +6y = 4

-4x +6y = -2k

Hence, for the system to have infinitely many solutions; 4 = -2k.

Ultimately, k = -2 by dividing both sides of the equation above by -2.

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Answer:

39

Step-by-step explanation:

1) Remove parentheses.

18 + 21

2) Simplify.

39

Thanks,
Eddie

Quick hint:

When there is a number and then a - sign outside the parenthesis and on the inside, then it creates a figure similar to the plus sign, that is when you just make it one.

Add the two numbers (both are always positive in this instance),

and there's your answer!

Answer:

The equation for this line is (P(x,y)----> P'(2h-x,2k-y), hence h=3 and k=1/2

Step-by-step explanation:

P(x,y)----> P'(2h-x,2k-y)

P(-4,-4)---->P'(8,5)

Now comparing the corresponding sides;

2h+4=8

2h=8-4

2h=4

h=2

Again,

2k-y=5

2k+4=5

2k=5-4

2k=1

k=1/2

Now, checking the answer:

P(-4,-4)----->P'{2*2-(-4),2*1/2-(-4)}

=P'(4+4,1+4)

=P'(8,5)

The catering cost was determined if the cost per person is R225,00. then the cost of 50 people is equal to = 1,125,000 R.

The catering cost was determined if the cost per person is R 225,00.​

The cost per person = 225,00 R

To calculate the cost per unit, add all of your fixed costs and all of your variable costs together and then divide this by the total amount of units you produced during that time period.

Let us assume,

Suppose you can find the cost for 50 people.

Then,

We can write,

Catering cost = x

x = 225,00 * 50

x = 1,125,000 R

Therefore,

The catering cost was determined if the cost per person is R225,00. then the cost of 50 people is equal to = 1,125,000 R.

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Answer:

$17.20

Step-by-step explanation:

You need to print (130)(17) = 2210 pages.

This means you need 2210/500 reams, which rounds up to 5.

So, the cost is 5(3.44) = $17.20

Answer:

7602.40

Step-by-step explanation:

Based on the given conditions

Formulate:

3.44×30×17

447.2×17

7602.4

Round 7062.4

=7062.40

a) A minimum of number of dogs that could have a mass of more than 24 kg is 6.

b) The maximum number of dogs that could have a mass of more than 18 kg is 20.

Rearrange the function using fundamental algebraic concepts to get the value of x when the derivative equals 0. This response gives the x-coordinate of the function's vertex, which is where the maximum or minimum will occur. To find the minimum or maximum, rewrite the solution into the original function.

The minimum of the values present in the interval 20 to 40 is 6

The maximum of the values present in the interval 20 to 40 is (12+6) = 18

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Answer:

Step-by-step explanation:

Let the hours of actual work be x and total charge be y.

Total amount of charge is:

Total amount of charge is:

Since y is same for both companies, set the equation and solve for x:

Answer: 87.96 km

Step-by-step explanation:

10.3% of 853.93km= 87.96 km

Answer:

D. 27,468

Step-by-step explanation:

654

x42

--------

1,308

+26,160

---------

27,468

The length of time that it cost less to move good across town will be more than 2.36 hours.

From the information, ACME movers charges $59 plus $20 per hour to move household goods across town and Hank movers charges $45 per hour.

Let the number of hours be represented by h.

Therefore, the appropriate equation will be:

59 + 20h = 45h

Collect like terms

45h - 20h = 59

25h = 59

h = 59/25

h = 2.36 hours.

Therefore, the length of time that it cost less to move good across town will be more than 2.36 hours.

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ACME movers charges $59 plus $20 per hour to move household goods across town. Hank movers charges $45 per hour. For what length of time does it cost less to move good across town?

Answer: 79.02

Step-by-step explanation:

set present value to 0

set future value to 300000

set number of time periods to 35 * 12 = 420

set interest rate percent per time period to 10/12 = 0.833333.

Equation:

See attachment

The expression of f(x) = -2x² - 10 which is h(x) = -2x² - 6 would be vertically upward by 3 units, it becomes the graph of a function for f(x).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function h is defined as follows.

h(x) = -2x² - 6

If the graph of his translated vertically upward by 3 units, it becomes the graph of a function for f(x)

To determine the expression for f(x).

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

Here h + 4 because adding 2 to the h coordinate would shift it up 2

⇒ h(f(x)) = ( x, y +4 )

⇒ f(x) + 4 = -2x² - 6

⇒ f(x) = -2x² - 6 -4

⇒ f(x) = -2x² - 10

Hence, the expression of f(x) = -2x² - 10 which is h(x) = -2x² - 6 would be vertically upward by 3 units, it becomes the graph of a function for f(x).

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The rate unit of the cost of the juice bought by Megan is  $1.28 per quart.

For the given question;

The price of 2-quart bottle of juice bought by Megan = $2.56.

For calculating the price of 1 bottle, simply divide the total cost by number of bottles.

Price of a single quart bottle = $2.56/2.

Price of a single quart bottle = $1.28 per quart.

Thus, the price of single quart bottle of juice is 1.28 per quart.

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