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Harman [31]
3 years ago
13

Which numbers are 9 units from −5 on this number line?

Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer:

-14 and 4

Step-by-step explanation:

add and subtract 9 from -5

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Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is
Mamont248 [21]

Answer:

1)The rocket hit the ground at     x = \frac{5}{4}

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \frac{dy}{dx} = -2( 2x) +5(1) =  -4x +5

Equating zero

            \frac{dy}{dx} = 0

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          x = \frac{5}{4}

<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

<u><em>Step(ii):</em></u>-

    \frac{dy}{dx}  =  -4x +5  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \frac{d^{2} y}{dx^{2} }  = - 4(1)

The maximum height at x = \frac{-5}{4}

  y = -2 x² + 5 x + 7

 y = -2 (\frac{5}{4})^{2}  + 5 (\frac{5}{4} )  + 7

y = \frac{-2(25)+ 25 (16)+7(64)}{64}

y = \frac{798}{64} = 12.468 feet

<em>The maximum height of the rocket = 12.468 feet</em>

       

4 0
3 years ago
Given : If You are at least 25 years Old Then you can rent a car
KIM [24]

Answer:

Law of Syllogism

Step-by-step explanation:

4 0
3 years ago
What is the value for f(x)= 3^2x+1 when x =1/2
Papessa [141]
Taking 2x is power of 3.

So it will be like 3^(2*1/2) + 1
You are replacing 'x' with 1/2
and the equation becomes 3^1+1
So, f(1/2) = 4
Answer is 4.

If its like
<span>3^(2x+1)
Then its like 3^[(2*1/2) +1]
It becomes 3^(1+1) = 3^2 = 9
So, the answer is 9
</span>
8 0
3 years ago
Which number makes this sentence true? 32:40=48:x
Sav [38]

Answer:

x=60

Step-by-step explanation:

divid the numbers

multiply all terms by the same value to eliminate fraction denominator

simplify

4 0
3 years ago
Drop ur best jokes/pictures:) <br> -best one gets brainliest<br> -and bragging rights
sp2606 [1]

Answer:

There ya go here is my meme :>)

6 0
3 years ago
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