Help solve inequality

Answer:

8.17  sorry if its wrong

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y, z) = (-1, 3, 6)

Step-by-step explanation:

The augmented matrix for the system is ...

  [tex]\left[\begin{array}{ccc|c}4&-4&4&8\\9&3&1&6\\16&4&1&2\end{array}\right][/tex]

Your graphing or scientific calculator can tell you the solution to this system is ...

  (x, y, z) = (-1, 3, 6)

__

If you want to solve this by hand, it can work well to divide the first equation by 4 to get ...

  x -y +z = 2

This can be subtracted from the other two equations to eliminate z.

  (9x +3y +z) -(x -y +z) = (6) -(2)  ⇒  8x +4y = 4

  (16x +4y +z) -(x -y +z) = (2) -(2)  ⇒  15x +5y = 0

These two equations can be reduced to standard form:

Subtracting the first equation from the second, we have ...

  (3x +y) -(2x +y) = (0) -(1)  ⇒  x = -1

Substituting into the first gives y:

  2(-1) +y = 1

  y = 3 . . . . . . . add 2

Then we can find z from the reduced first equation above:

  z = 2 -x +y = 2 -(-1) +3 = 6

Then the solution is (x, y, z) = (-1, 3, 6).

Answer:

D

Step-by-step explanation:

A is incorrect because if 1 x value corresponds to multiple y values, it is not a function

B is incorrect for the same reason as a

C is incorrect because it is linear

D is correct because 1.) all of the others are wrong, and 2.) it is nonlinear.

Answer: The answer is D.

Step-by-step explanation: The bird decreases its heights by 12 feet which is what the question is asking.

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]

[tex]d=\sqrt{36+16}[/tex]

[tex]d=\sqrt{52}[/tex]

[tex]d=2\sqrt{13}[/tex]

Now, radius is half of the diameter.

[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]

[tex]r=\sqrt{13}[/tex]

Center of the circle is the midpoint of the endpoints of a diameter.

[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]

[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]

[tex]Center=\left(2,-3\right)[/tex]

Standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,

[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]

[tex](x-2)^2+(y+3)^2=13[/tex]

Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].

Answer:

1: y = 3x + 1 Swap sides so that all variable terms are on the left hand side. 3x + 1 = y Subtract 1 from both sides.

2: y(x) = 5x, y(x) is just another way of writing the equation to indicate that y is a function of x. You could simply write it as y = 5x. Thus if we compare to the standard form equation y = ax + b, a=5 and b=0. Thus the y-intercept is zero.

3: the answer is simply 0

4:  y-(1/5*x-10)=0  

STEP

1

:

           1

Simplify   —

           5

Equation at the end of step

1

:

        1          

 y -  ((— • x) -  10)  = 0  

        5          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         10     10 • 5

   10 =  ——  =  ——————

         1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (10 • 5)     x - 50

————————————  =  ——————

     5             5    

Equation at the end of step

2

:

      (x - 50)

 y -  ————————  = 0  

         5    

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

         y     y • 5

    y =  —  =  —————

         1       5  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

y • 5 - ((x-50))     5y - x + 50

————————————————  =  ———————————

       5                  5      

Equation at the end of step

3

:

 5y - x + 50

 ———————————  = 0  

      5      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Hope this helps :)

Answer:

A=Pier^2

a=pie2.5^2

a=19.63

A=Pier^2

a=pie2^2

a=12.57

19.63 - 12.57

=7.07

B

Answer:

86.4

Step-by-step explanation:

Answer:

6188

Step-by-step explanation:

Number of children's movies = 4

Number of comedy movies = 7

Number of mystery movies = 7

Number of horror movies = 5

Total number of movies to be rented = 9 out of which 4 are fixed to be children's movies

To find:

Number of different combinations to rent 9 movies out of which 4 are children's movies

Solution:

Number of movies left to be rented = 9 - 4 = 5

Number of movies left out of which these 5 are to be rented = 7 + 7 + 5 = 17

Now, there are a total of 17 movies out of which 5 are to be selected.

Therefore, we can use:

[tex]_nC_r = \dfrac{n! }{r!(n-r)!}[/tex]

where, [tex]n = 17[/tex]

[tex]r = 5[/tex]

[tex]_{17}C_5 = \dfrac{17! }{5!(12)!}\\\Rightarrow \dfrac{17.16.15.14.13}{5.4.3.2.1} = \bold{6188}[/tex]

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

Answer:

Let C = cost to rent each chairLet T = cost to rent each table 4C + 8T = 732C + 3T = 28 Multiply the 2nd equation by (-2) and then add the equations together   4C + 8T = 73-4C - 6T = -56 2T = 17T = 17/2 = 8.5 Plug this in to the 1st equation to solve for C 4C + 8(17/2) = 734C + 68 = 734C = 5C = 5/4 = 1.25 So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step-by-step explanation:

Answer:

ok mam yes mam going to do my clay

Answer:

A is Y equally X

B is X equally 2

E is Y equally -5

Answer:

190

Step-by-step explanation:

10x10x10=1000

then multiply 1000 by 0.19

190

Answer:

7b-389

Step-by-step explanation:

This is the polynomial in standard form. Hope this helps!

Answer:

oop

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

triangle is 180deg in total thus,

Answer:

d.exponential is answer

Step-by-step explanation:

I hope it's helpful!

Answer: if you factor it you will get this-->(3m−2n)(3m−2n+5p)

Step-by-step explanation:

Answer: 47.06

Step-by-step explanation: math

Answer:

3/5, 4/5, 3/4

Step-by-step explanation:

First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4

The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Here first we determine the BC by applying the Pythagorean Theorem.

[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]

So the BC should be 12

hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Learn more about an angle here: https://brainly.com/question/3401487

Answer:

y = 7   x = 9

Step-by-step explanation:

2y-x=8

2(2y-x=8)

4y-2x=16

-(y-2x= -5)

3y +0x= 21

3y=21

y=7

2(7)-x=8

14-x=8

9=x

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

Answer:

I believe that it would be A+C+S but is there more to the question?

Step-by-step explanation:

omg

Step-by-step explanation:

Answer:

-9

Its in the format y=mx+b, where m is the slope and b is the intercept. Also since x is 0 at the y intercept, you could substitute 0 for x and see the intercept

Step-by-step explanation:

Answer:

i think 1/4

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

We name the coins coin 1 and coin 2 for the sake of simplicity.

There are four possible situations:

coin 1 head, coin 2 head

coin 1 head, coin 2 tails

coin 1 tails, coin 2 head

coin 1 tails, coin 2 tails

Only case 1 results in both 'heads'. So the probability is 1/4.

Answer:

7:10 or 3:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

7:10 h

Answer:

i just want 100 points

Step-by-step explanation:

HAHHA BYE

Answer:

ok

Step-by-step explanation: