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Gennadij [26K]
4 years ago
15

H(x)=-x^2-4 and I(x)=2x+3 H(I(s))

Mathematics
1 answer:
ICE Princess25 [194]4 years ago
3 0
Easy peasy
just subsitute I(x) for the x in the h(x) so
h(I(s))=-(2s+3)^2-4
distribute and simplify
h(I(s))=-(4s^2+12s+9)-4
h(I(s))=-4s^2-12s-9-4
h(I(s))=-4s^2-12s-13

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Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the dista
Yuki888 [10]
d=v \cdot t
d - distance
v - speed
t - time

Car A:
v_1 \\
t_1=2 \\
d_1=v \cdot 2=2 v

Car B:
15 mph faster than car A
v_2=v_1+15 \\ t_2=1.5 \\ d_2= (v_1+15) \cdot 1.5=1.5v_1 + 22.5

Both cars traveled equal distances:
d_1=d_2 \\
2v_1 = 1.5v_1+22.5 \\
2v_1-1.5v_1=22.5 \\
0.5v_1=22.5 \\
v_1=45 \\ v_2=45 + 15 =60

Car B traveled at the speed of 60 mph.
6 0
3 years ago
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The
valentina_108 [34]

Answer:

f(h) = 0.004s + 37

Step-by-step explanation:

The correct representation of the height of the plant is;

          f(h) = 0.004s + 37

Given parameters;

  Height of plant  = 37cm

  Rate of growth  = 0.004cm/hr

  Number of hours of sunlight  = s

To solve this problem, the height of the plant is directly dependent on the amount of sunlight;

     f(h) signifies that height is a function

The height of the plant is 37cm;

         f(h) = 37

The plant grows at a rate of 0.004cm/hr;  number of hours of sunlight is s;

       0.004s

Therefore;

  f(h) = 37 + 0.004s

       

8 0
3 years ago
Read 2 more answers
How do i turn this to decimals?<br><br> 818/1320<br><br> 1742/2540<br><br> 396/1220
trapecia [35]
You simply divide numerator by denominator
818/1320 = 0.619
1742/2540 = 0.685
396/1220 = 0.32
hope this helps ;3
6 0
4 years ago
Read 2 more answers
The product of a rational number
kati45 [8]

Answer:

I think it's true. hope this helps!!

6 0
3 years ago
In the box below, write the following statement using symbolic language.
ludmilkaskok [199]

Answer: 1/3x-5=2x

This would be the same as the word problem because it is one third times x minus five equals two x.

8 0
3 years ago
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