Answer:
6x+8
Step-by-step explanation:
To answer this question we just simply use the distributive property to get rid of the parenthesis.
1.5*3x=4.5x
1.5*4=6
So the first parenthesis cancelled out would be : 4.5x+6
Now, onto the second:
0.25*6x=1.5x
0.25*8=2
So the second one is : 1.5x+2
Not that we have distributed both things, we add these.
4.5x+6+1.5x+2 we combine like terms
4.5x+1.5x=6x
6+2=8
So, the answer is 6x+8
Answer:
g(x) = -x² - 4
Step-by-step explanation:
In this case, we are only changing <em>a </em>(reflection and vertical shrink/stretch) and <em>k </em>(vertical movement)
<em>k </em>= -4 because we are moving 4 units down
<em>a </em>= -1 because we are just reflecting over the x-axis
Answer:
4 minutes 3 seconds
Step-by-step explanation:
Step one:
Given data
A kangaroo hops 2 kilometers in 3 minutes
The rate/speed is
rate/speed= 2/3 km per minute
Required
the time taken to cover 3 km
Step two:
We know that
rate= distance/time
2/3= 3/t
cross multiply we have
2t=3*3
2t=9
divide both sides by 2
t= 9/2
t= 4.5 minutes
t= 4 minutes 3 seconds
Answer:
in particular, the relationship between height of stack and number of cups yields a non-whole number of cups, corresponding to a height of 95 cm. In this context, that is not possible because we do not allow for parts of cups.
Step-by-step explanation:
The value of f(5) is 49.1
Step-by-step explanation:
To find f(x) from f'(x) use the integration
f(x) = ∫ f'(x)
1. Find The integration of f'(x) with the constant term
2. Substitute x by 1 and f(x) by π to find the constant term
3. Write the differential function f(x) and substitute x by 5 to find f(5)
∵ f'(x) = 
+ 6
- Change the root to fraction power
∵ = 
∴ f'(x) = + 6
∴ f(x) = ∫ + 6
- In integration add the power by 1 and divide the coefficient by the
new power and insert x with the constant term
∴ f(x) = 
+ 6x + c
- c is the constant of integration
∵ 
∴ f(x) = 
+ 6x + c
- To find c substitute x by 1 and f(x) by π
∴ π = 
+ 6(1) + c
∴ π = + 6 + c
∴ π = 6.4 + c
- Subtract 6.4 from both sides
∴ c = - 3.2584
∴ f(x) = + 6x - 3.2584
To find f(5) Substitute x by 5
∵ x = 5
∴ f(5) = 
+ 6(5) - 3.2584
∴ f(5) = 49.1
The value of f(5) is 49.1
Learn more:
You can learn more about differentiation in brainly.com/question/4279146
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