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Roman55 [17]
3 years ago
11

What is the additive inverse of x+3 ​

Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

-x-3

Step-by-step explanation:

(x+3) + the additive inverse = 0

the additive inverse = -(x+3)

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Greg spent $4 on $5 packs of sport cards. How much did greg spend on each pack?​
Travka [436]

greg spent $20 think

Step-by-step explanation:

i think you times

3 0
2 years ago
A runner traveled 3 mi in the same time that a cyclist traveled 5 mi. The speed of the cyclist was 2 mph greater than that of th
Contact [7]

Answer:

5 mph.

Step-by-step explanation:

Let the runner travel at x miles an hour , then the cyclist travels at 5/ 3 * x

= 5/3 x  miles an hour.

So we have the equation

5/3 x - x = 2    ( since the cyclist was  travelling at 2  mph faster).,

2/3 x = 2

x = 3/2 * 2 = 3 mph.

So the cyclists speed was  3 * 5/3

= 5 mph.

3 0
3 years ago
A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much ca
Alex787 [66]

Answer:

∴35.97 mg caffeine would be left in the system after 5 hours.

Step-by-step explanation:

Given that,

A cup of coffee has approximately 310 mg of caffeine.

Caffeine decrease at a rate 35% per hour.

Exponential Function:

y(t)=y_0(1-r)^t

y(t)= Amount caffeine after t hours

y_0= Initial amount of caffeine

r= rate of decrease

t = Time in hour.

Here y(t)=?, y_0 = 310 mg, r=35%=0.35, t= 5 hours

y(t)=310(1-0.35)^5

      =35.97 mg

∴35.97 mg caffeine would be left in the system after 5 hours.

3 0
3 years ago
Simplify this equation<br> -5x+7&gt;22
Lana71 [14]

Answer:

<h2>x < - 3</h2>

Step-by-step explanation:

- 5x + 7 > 22

Move 7 to the other side of the inequality

- 5x > 22 - 7 \\  - 5x > 15

Divide both sides by - 5

\frac{ - 5x}{5}  >  -  \frac{15}{5}  \\ x >  - 3

Reverse the sign

We have the final answer as

<h3>x < - 3</h3>

Hope this helps you

4 0
2 years ago
Given the function defined below, what is the value of the 4th term?
MakcuM [25]

Answer:

The 4 t h term is   f(4)   = 143

Step-by-step explanation:

<em>Explanation</em>:-

Given  function f(1) = -4

Given 'nth' term is  f(n) = -3f(n-1) +5

Put n =2         <em> f(2) = -3 f(2-1) +5</em>

                             = -3 f(1) +5

                             = -3 (-4) +5

                             = 12 +5

                       f(2) = 17

put n= 3      

                         f(n) = -3f(n-1) +5  

                      <em>   f(3) = -3 f(3-1) +5</em>

                            = -3f(2) +5

                           = -3(17) +5

                           = -51+5

                      f(3) = -46

Put n=4

                  f(n) = -3f(n-1) +5

               <em>  f(4)  = -3f(4-1) +5</em>

<em>                  f(4)  = -3f(3)+5</em>

                f(4)   = -3(-46)+5

                f(4)   = 138 +5

                f(4)   = 143

<u><em>Final answer</em></u>:-

<em>The 4 t h term is   f(4)   = 143</em>

         

6 0
3 years ago
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