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Iteru [2.4K]
3 years ago
7

Compare each of the functions shown below: f(x) sine curve with points at 0, 0 and pi over 2, 4 and pi, 0 and 3 pi over 2, negat

ive 4 and 2 pi, 0 g(x) x y 0 0 pi over 2 2 π 0 3 pi over 2 −2 2π 0 h(x) = 2 sin x + 3 Which function has the greatest rate of change on the interval from x = 0 to x = pi over 2 ?
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0
F(x) sine curve with points at 0, 0 and pi over 2, 4 and pi, 0 and 3 pi over 2, negative 4 and 2 pi,0

g(x) x y 0 0 pi over 2 2 π 0 3 pi over 2 −2 2π 0

h(x) = 2 sin x + 3 Which function has the greatest rate of change on the interval from x = 0 to x = pi over 2

The change of f(x) from 0 to π/2 is 4
The change of g(x) from 0 to π/2 is 2
We can rule out g(x). 

As for h(x):
h(0) = 2 sin(0) + 3 = 3
h(π/2) = 2(sin(π/2)) + 3 = 2 + 3 = 5
Change of h(x) from 0 to π/2 is 2. 

Greatest change between 0 and π/2 is found with f(x)
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What is equation of a line that is parallel to y = -6x – 1 and passes through the point (1,4)
Akimi4 [234]

Answer:

y = -6x + 10

Step-by-step explanation:

Parallel lines share the same slope.  Given y = -6x – 1, we know that the equation of this new line has the form y = -6x – C.  The coordinates of the point (1, 4) determine the value of C:

(4) = -6(1) – C, or:

4 = -6 - C

Then C = -10, and the desired equation is

y = -6x – (-10), or

y = -6x + 10

5 0
3 years ago
Evaluate the logarithmic expression log6 1
AlekseyPX

Answer:

Logarithm base  6  of  1  is<u>  0</u>.

3 0
4 years ago
Please help me answer this &lt;3
ludmilkaskok [199]

Answer:

x = 30

Step-by-step explanation:

15 = 1/2x

multiply both sides of equation by 2

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3 0
3 years ago
In a speed race there are markers every 0.8 miles.If the course is 36 miles long,how many markers will be placed along the route
Masja [62]
36 divided by 0.8 = 45
45 makers will be placed along the route
8 0
3 years ago
Rico thinks of a number between 30 and 40 that is represented by
Anna007 [38]
Hello,

x,y,z∈ IN

x=\frac{3}{4}*y
y=\frac{1}{3}*z

140
46\leq\ y\ \leq\ 50 ==>\ \frac{46*3}{4}\leq\frac{3y}{4}\leq\frac{50*3}{4}
35\ \leq\ z\ \leq\ 37==>
 x∈{35,36,37}
 y∈{47,48,49}
 z∈{141,144,147}

We must go futher:

if x=35 then y=4*35/3=46.666 not good , not whole
if x=36 then y=4*36/3=48 ok
if x=37 then y=37*4/3=49.333.. not good

So there is only one solution (36,48,144) for (x,y,z)

No problem with z for z=3/1*4/3*x=4x ==>whole.









7 0
3 years ago
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