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Talja [164]
3 years ago
7

Let f(x)=5x^4 and g(x)=e^2x+x. If h is the function defined by h(x)=f(g(x)), which of the following gives a correct expression f

or h′(x)?

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0
Look it up on quizzes
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Ming throws a stone off a bridge into a river below.
AURORKA [14]

Answer:

1 seconds after being thrown, the stone reaches its max height

Step-by-step explanation:

The parabolic (quadratic) equation is:

h(x)=-5(x-1)^2+45

Lets expand this in the form ax^2+bx+c, so we have:

h(x)=-5(x-1)^2+45\\h(x)=-5(x^2-2x+1)+45\\h(x)=-5x^2+10x-5+45\\h(x)=-5x^2+10x+40

We can say the values of a,b, and c, now to be:

a = -5

b = 10

c = 40

The number of seconds at which the max would occur is given by the point, x, at:

x=-\frac{b}{2a}

We know a and b, let's find the seconds, x,

x=-\frac{b}{2a}=-\frac{10}{2(-5)}=-\frac{10}{-10}=--1=1

Hence,

1 seconds after being thrown, the stone reach its max height

6 0
4 years ago
Read 2 more answers
PLEASE SHOW FULL SOLUTIONS !!!!! WILL MARK BRAINLIEST FOR THE BEST ANSWER. THANK YOU AND GOD BLESS.
zhenek [66]

Answer:

a = 8

b ≠ 18

Step-by-step explanation:

y = 4x - 7

2y = ax + b

For there to be no solution, the lines (if graphed) should be parallel meaning that their slopes are equal but the y-intercepts are different

y = mx +b is the equation of a line where m is the slope and b is the y-intercept

Multiply the first equation by 2

2y = 8x - 14

2y = ax + b

So a has to equal 8

b can be anything except 14 (otherwise the lines would be the same)

4 0
3 years ago
Read 2 more answers
Please walk me through this​
FinnZ [79.3K]

Answer:

X is 160. because you can add all the value of x. But first substrate 540 with 100 which is 440. then 1/2x + 1/2x+ (x-15) + (x-25) which is further simplified as x + 2x - 40. then it's further simplified as 3x - 40 = 440. then add 40 with 440 which is 480 then divide it by 3 which is 160. therefore X= 160.

3 0
3 years ago
What is the ratio of the width of the yard to the area of the yard in 10 feet long by 7 feet wide
dezoksy [38]

Area = (length) x (width)

Area = (10-ft) x (7-ft) = 70 ft²

(Width) / (Area) = (7-ft) / (70 ft²)  =  1 / 10-ft .
4 0
3 years ago
A certain species of fish require 1.5 cubic feet of water per fish to maintain a healthy
sertanlavr [38]
7 of them fish I’m not going to lye I just wanted to put 7 but I have to have at least 20 characters
6 0
4 years ago
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