One number is 10 more than twice another. Their sum is 1. Find the numbers

Answer:

Falling

Step-by-step explanation:

You have to convert it into slope-intercept form(y=mx+b) to find out. TO do this, you subtract 4x from the left, so it would be y=-4x-3. -4x is the slope, and since it is negative, it is falling.

Answer:

rising positive slope

Step-by-step explanation:

Answer:

511

Step-by-step explanation:

ok

Answer. i believe this is your answer 0.00051177072

Answer:

x=7/3

Step-by-step explanation:

To solve the equation we have to isolate x.

So first we distribute on the left side

-4x+4=2x-10

then we add 4x to both sides

4=6x-10

add 10 to both sides

14=6x

divide both sides by 6

x=7/3

Answer:

[tex]x = -5[/tex]

Step-by-step explanation:

[tex]5(2) - 3x = 25\\10 - 3x = 25\\-15 = 3x\\-5 = x[/tex]

Step-by-step explanation:

The solution is shown in the image above

Answer:

i hope this answer will help

Step-by-step explanation:

6(4T-3)+6(4-3T) =0

24T-18+24-18T =0

6T+6=0

6T=-6

T=-6/6

T=-1

Answer:

116,280 ways

Step-by-step explanation:

Because your finish place is mutually exclusive (if you come in first you cant come in second, if you come in second you cant come in third, etc) you have to decrease the amount of runners for each place.

20 runners can get first

19 for second

18 for third

17 for fourth.

To find out the total amount of possibilities you multiply each amount. 20 x 19 x 18 x 17 = 116,280.

I hope this helps!

-TheBusinessMan

Answer:

Given series is divergent

Step-by-step explanation:

Step(i):-  

By using Ratio test

                [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]

a)     [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]  

'l' is finite then the given ∑aₙ is convergent

b)   [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]  

Here 'l' is infinite then the  ∑aₙ  is divergent

Step(ii):-

Given      aₙ = [tex]\frac{n!}{n}[/tex]

            [tex]a_{n+1} = \frac{(n+1)!}{n+1}[/tex]

     [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} |\frac{\frac{(n+1)!}{n+1} }{\frac{n!}{n} } |[/tex]

               we know that  n ! = n (n-1) (n-2) ......3.2.1

              and also          (n+1) ! = (n+1)n!

  [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} |\frac{\frac{n+1)n!}{n+1} }{\frac{n!}{n} } |[/tex]

[tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} n[/tex]

                       = ∞

Given sum of the series is divergent

Step-by-step explanation:

[tex]\small{\underline{\tt{\red{Given}}}}[/tex]

[tex]\rightarrow[/tex] p(x) = -2

[tex]\small{\underline{\tt{\green{solution}}}}[/tex]

[tex]\rightarrow[/tex][tex]p(x) = 3x + {4x }^{2} - 5x + 8[/tex]

[tex]\rightarrow[/tex][tex]p( - 2) = 3( - 2) + 4( { - 2}^{2} ) - 5( - 2) + 8[/tex]

[tex]\rightarrow[/tex][tex] p( - 2) = - 6 + 16 + 10 + 8[/tex]

[tex]\rightarrow[/tex][tex]p( - 2) = 10 + 18[/tex]

[tex]\rightarrow[/tex][tex]p( - 2) = 28[/tex]

[tex]\small\boxed{p(-2) = 28 }[/tex]

Hope it helps

Answer:

i will try to see

Step-by-step explanation:

i will try to solve if i can answeer it

Answer:

u = 57.6

Step-by-step explanation:

u/9.6 = 6

Multiply each side by 9.6

u/9.6 * 9.6 = 6* 9.6

u = 57.6

Answer:

u = 57.6

Step-by-step explanation:

To isolate u, we have to multiply 9.6 on both sides to eliminate the denominator. That leaves us with u = 6 * 9.6 = 57.6

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Answer:

-9

Step-by-step explanation:

Add the cards together

2 + -6 + 1 + -2 + -4

-9

Answer: Answer is in the steps

Step-by-step explanation:

using the function h(t) = -16t^2 + 64t + 80    and H is height in feet  t is the time in minutes we can evaluate how high the platform is by solving for the y intercept.

h(t) = -16t^2 + 64t + 80  the y intercept is when h(t) is h(0)  so when it is h of zero  put zero into the function and solve the function

A) -16(o)^2 + 64(0) + 80  

      0 -0  + 80

    h(0) =  80  

Which means the platform is 80 feet high.  

B) In the reading it says that it will set the firework at its highest point  and in other words its highest point is its vertex. So solve for the vertex .

   h(t) = -16t^2 +64t + 80       To solve for the vertex, use the formula x= -b/2a  to find the x coordinate of the vertex.

     so  the value of b is 64  and a is -16 .

 x = -64 / -32    

x = 2

 So the x coordinate of the vertex is 2  so input it and solve for the y coordinate of the vertex.

h(t) = y =  -16(2)^2 + 64t+80

y=   -16(4) + 64(2)+ 80  

  y=   -64 + 128 + 80

      y = 144  

So the y coordinate is 144. which means the vertex  is (2,144) and also means that the fireworks will be released at  a 144 feet.

 C)  The drone will land on the ground when they is not height which means when  y is equal to zero or h(t)  is zero.  

          -16t^2 +64t + 80 = 0       so solve for t using the quadratic formula.

The quadratic formula says that  x= -b ± [tex]\sqrt{b^2 -4ac} /2a[/tex]  

   a = -16     b= 64   and c= 80  

 x = -64 + [tex]\sqrt{9216}/ -32[/tex]  

 x= -64 ± 96 /-32  

  x=  -1   or  x = 5

    Which means the drone land on the ground in 5 minutes. It can't be -1 because a negative number can't represent time.