The absolute minimum value of x4 – x2 – 2x+ 5

(A) is equal to 5 (B) is equal to 3

(C) is equal to 7 (D) does not exist

Answer:

[tex]m = \frac{70 - 45}{12 - 6} = \frac{25}{6} [/tex]

The temperature increases 25 degrees every 6 hours, or 4 1/6 degrees/hour.

The answer would be

H. 30

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3 feet is equivalent to 36 inches. So it starts as a 36-inch diameter.

Then it need to hang down another 5 inches. 36 + 5 = 41. Then he will need another inch to sew down all the way around so that becomes 41 + 1 = 42. 42 inches in diameter.

The table cloth needs to be 42 inches in diameter.

different tire treads - independent

braking distance- dependent

car - constant

Answer: y = 13.50x + 75

Step-by-step explanation:

13.50 is an hourly wage so it is x.

+ 75 because of the bonus.

Y = the total

So, the equation must be:

Y= 13.50x + 75

Answer:

11:9

Step-by-step explanation:

Simply reduce the two numbers

22 over 18 is equivalent to 11 over 9 when you reduce by 2

Cost Carlos 3 dollars per avocodo

If we have $2 left then that means we used $18 dollars on the avocados.

All we have to do is divide $18 dollars by 6 avocados.

$18 / 6 = 3

So each avocado was $3

GOOD LUCK :)

We calculate the volume of the sphere to find the amount of gas it can hold, then we multiply this volume by the price per cubic foot to get the total cost of the gas, which is $3216.96.

The problem is asking us to determine the total value of gas in a spherical container given the radius of the sphere (container) and the cost of gas per cubic foot.

Firstly, we need to calculate the volume of the sphere using the formula: V = 4/3 * pi * r^3, where r is the radius of the sphere. Substituting the given radius, V = 4/3 * pi * 4^3 = 268.08 cubic feet

Then, we find the total value of the gas by multiplying the volume of the gas by the cost per cubic foot. So, the total value = volume * cost = 268.08 * 12 = $3216.96

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The total value of the gas in the container is $3216.96.

To find the total value of the gas in the container, we first need to calculate the volume of the gas.

The formula to find the volume of a sphere is V = (4/3) * π * r^3, where r is the radius of the sphere.

Plugging in the given radius of 4 ft, we get V = (4/3) * π * (4^3) = 268.08 ft^3.

Next, we multiply the volume of the gas by the cost per cubic foot to find the total value.

Multiplying 268.08 ft^3 by $12/ft^3, we get a total value of $3216.96.

Therefore, the total value of the gas in the container is $3216.96.

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The given equation is :

[tex]x^3-9x^2+5x-45[/tex]

Take out GCF from the first pair and the second pair

[tex]x^2(x-9)+5(x-9)[/tex]

Now (x-9) is common so

[tex](x-9)(x^2+5)[/tex]

hello there this one was tricky i looked at it for sevrel minutes and solve dit

the answer is 50%

To obtain the same annual interest on both accounts, $3,600 should be invested at 9%, and $2,400 should be invested at 6%.

To solve this problem, we need to use the formula for simple interest, which is I = PRT, where P is the principal amount (the initial amount of money), R is the annual interest rate in decimal form, and T is the time the money is invested for in years. Here, we want both accounts to earn the same annual interest, so we'll let x be the amount of money invested at 9%, and 6000 - x be the amount of money invested at 6%. The annual interest for both should be the same, so:

x × 0.09 = (6000 - x) × 0.06

Solving for x, we get x = $3,600. So, $3,600 should be invested at 9%, and $2,400 ($6,000 - $3,600) should be invested at 6% to obtain the same annual interest.

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Given  Kruger National Park in Skukuza coordinate : (-24.98,31.58).

Nelson Mandela Musuem in Mpumalanga coordinate : (-29.82,31.58).

We need to find exactly in between given coordinates.

We know, mid - point formula :  

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right).[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-24.98,\:31.58\right),\:\left(x_2,\:y_2\right)=\left(-29.82,\:31.58\right)[/tex]

[tex]=\left(\frac{-29.82-24.98}{2},\:\frac{31.58+31.58}{2}\right)[/tex].

[tex]=\left(-27.4,\:31.58\right)[/tex].

Therefore, will be meeting at (-27.4, 31.58).

Answer: 3 m/s

Step-by-step explanation:

1) the instantaneous speed is the slop at t = 6 secs

2) since its a straight line, the slop of the line is the speed and its constant.

the slope is approximately 3 m/s.

20|

15|                          |

10|                          |    d = 15

 5|                           |  

 0|                           |                  

       1   2  3  4   5  6|  7  8    

                   t = 5    

So the formula for speed is

     speed = distance/time

              S = 15/5

              S = 3 m/s

To find Roy's total frequent flyer miles, add his current miles (10,368), the miles he'll earn from his trip to New York (2,832) and the miles he'll earn from his credit card spending (2 miles per dollar spent). The final expression for total miles is 13,200 + 2d where 'd' is the amount spent using the credit card.

Roy's total frequent flyer miles can be calculated by adding his existing miles, his incoming miles from his trip to New York, and the miles gained from using his credit card. Let's assume he spends 'd' dollars using his credit card.

Firstly, we combine the miles he already has and those he will earn from his round trip: 10,368 miles + 2,832 miles = 13,200 miles.

Secondly, we consider his credit card earnings. As he gains 2 miles per dollar spent, he will earn '2d' miles from his credit card spendings.

Finally, we add these together to get the total frequent flyer miles he will have: 13,200 miles + 2d miles. Therefore, the total miles that Roy will have depends on the amount 'd' he spends on his credit card.

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i got 4.225

so hope that helps a little!

The answer is 4.225. I also included my work

8 lbs 3 oz + 4 * 5 oz  

8 lbs 3 oz + 20 oz

8lbs 23 oz     there are 16 oz in a lb   (23-16 = 7)

8 lbs + ( 1 lbs 7 oz)

9 lbs 7 oz

Answer:

Step-by-step explanation:

9 pounds, 7 ounces

Answer:

37.5%

Step-by-step explanation:

subtract 80 by 50 to find the increase of money

80-50=30

then divide the number you got by the increase of price Wich is 80

30÷80=0.375

then multiply 0.375 by 100 to put it in percentage form

0.375x100=37.5%

The answer would be C since 3.00 would be the initial cost and 5 would be the hourly rate, with x being the amount of hours the car is in the parking lot.

The answer is C. In this situation, slope means the rate of change of the cost of parking in the lot is 5 dollar per hour.

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. That means the change in y due to change in x.

In an equation, y = mx + c, slope is m.

Learn more about slope here

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I say left because you have a straight line, i goes through 0,0 and every time it goes over 1 and up by 3.

Answer:

65.45

Step-by-step explanation:

you do 3.14*5^2*2.5/3

Answer:

65.42

The other answer was close, but missed some steps. Rounded up the answer is 65.42

Answer:

#1. (6n) to the second power = (6^2) * (n^2)

n^2 means n to the second power, by the way

#2. (1+7n) to the second power = 1+14n+49n^2

Step-by-step explanation: You would just seperated square for the first one, since it involves the multiplication of squares, which is the same as squaring the product.

For the second one, you would expand the product to a^2+2ab+b^2, which is the same as 1^2 + 2(1*7n)+7n^2, which simplifies to 1+14n+49n^2

To solve the given system of equations by substitution, 'y' from the first equation is substituted into the second, resulting in x = 4/3. Substituting this into the first equation yields y = 5/3. Therefore, the solution to the system is x = 4/3, y = 5/3.

To solve the given system of equations by substitution, we will start with the first equation y = 2x - 1 and substitute it into the second equation 6x - 3y = 7.

Substituting 'y' from the first equation into the second, we get: 6x - 3(2x - 1) = 7.

Solving this, we find 'x': 6x - 6x + 3 = 7 => x = 7/3 = 4/3.

Next, we substitute 'x' into the first equation to find 'y': y = 2(4/3) - 1 = 8/3 - 1 = 5/3.

So, the solution to the system of equations is x = 4/3, y = 5/3.

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The answer you want

The answer you want is right around (0,0). Just follow the x axis. Go by colors. The pink color is x>0 not including 0

The light blue is x <= 3

Where they intersect is a very dark blue.

Answer:

a) Parallel when a = -2/3

b) Perpendicular when a = 6

Explanation:

a)  For two parallel lines slopes are equal.

  So, 6y=−2x+4 and 2y=ax−5 parallel if they are slopes equal.

  Slope of 6y=−2x+4, comparing with y = mx + c

     So, m = -2/6 = =-1/3

  For 6y=−2x+4 and 2y=ax−5 to b parallel we have slope of 2y=ax−5 equal to -1/3

   Slope of 2y=ax−5

           m = a/2

    We have a/2 = -1/3

                    a = -2/3

b) For perpendicular lines product of slope is -1.

   So we have

               [tex]\frac{a}{2} *\frac{-1}{3} =-1\\ \\ a=6[/tex]    

The value of 'a' that would make the graphs of the equations 6y = -2x + 4 and 2y = ax - 5 parallel is -1/3. Meanwhile, the value of 'a' that would make them perpendicular is 3.

The question you've asked is about finding the values of a for which two graphs represented by the equations 6y = -2x + 4 and 2y = ax - 5 are either parallel or perpendicular. To solve this, we need to understand and apply the concept of slope in straight-line equations.

Firstly, rewrite the given equations in the form of y = mx + b, where m is the slope. For the first equation, it becomes y = -1/3x + 2/3, so the slope is -1/3.

Parallel lines have the same slope. Therefore, the value of 'a' for the second equation to be parallel with the first needs to be -1/3. Conversely, perpendicular lines have slopes that multiply to -1. Thus, for the second line to be perpendicular to the first, 'a' would have to be the negative reciprocal of -1/3, which is 3.

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Domain is the set of x values

so answer is D) {2, 4, 6, 8}

Hope it helps

In order to find the shaded region the first thing you have to do is find the area of the two small triangles, then find the area of the big triangle. Subtract the area of the small triangles from the big one and that is the area.

Step one: 11×12=132

Step two: 132÷2= 66

Step three: 66+66=132 (because there is two small triangles with same dimensions)

Step four: 40×15=300

Step five: 300-132=168

Answer 168m^2

[tex]y=\dfrac{1}{x-2}=(x-2)^{-1}\\\\\text{use}\ (x^n)'=nx^{n-1}\ and\ f'(g(x))=f'(g(x))\cdot g'(x)\\\\y'=\left[(x-2)^{-1}\right]'=-1(x-2)^{-2}\cdot(x-2)'=-(x-2)^{-2}\cdot1=-\dfrac{1}{(x-2)^2}[/tex]

In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. Next add the equations, and solve for y or x. Once you find out the value of either y or x you can substitute into one of the original equations to find x or y.

The average is 18m/s.

The average acceleration of the roller coaster car is [tex]\( 6\, \text{m/s}^2 \)[/tex].

The average acceleration of the roller coaster car is calculated using the formula:

[tex]\[ a = \frac{{v_f - v_i}}{{\Delta t}} \][/tex]

where [tex]\( v_f \)[/tex] is the final velocity, [tex]\( v_i \)[/tex]  is the initial velocity, and [tex]\( \Delta t \)[/tex] is the time interval over which the acceleration occurs.

Given:

[tex]- Initial velocity (\( v_i \)) = 4 m/s \\- Final velocity (\( v_f \)) = 22 m/s\\ - Time interval (\( \Delta t \)) = 3 s[/tex]

Plugging in the values:

[tex]\[ a = \frac{{22\, \text{m/s} - 4\, \text{m/s}}}{{3\, \text{s}}} \] \[ a = \frac{{18\, \text{m/s}}}{{3\, \text{s}}} \] \[ a = 6\, \text{m/s}^2 \][/tex]

x=  10.43398113 ,  -8.43398113