Answer:
x = 8
Step-by-step explanation:
5(x-2)=30
Distribute
5x- 10 = 30
Add 10 to each side
5x-10+10 = 30+10
5x= 40
Divide by 5
5x/5=40/5
x = 8
Yes. 95 is correct.
You have three congruent "indentations" in the right hand side. Thus each section must be 15/3 = 5 cm long.
The top rectangle will be 8*5 = 40 cm^2
The bottom rectangle will also be 8*5 = 40 cm^2
The middle area will be 5(8-5) = 5 * 3 = 15 cm^2
40 + 40 + 15 = 95
Answer:
The value of c = -0.5∈ (-1,0)
Step-by-step explanation:
<u>Step(i)</u>:-
Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]
<u> Mean Value theorem</u>
Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that
<u>Step(ii):</u>-
Given f(x) = 4x² +4x -3 …(i)
Differentiating equation (i) with respective to 'x'
f¹(x) = 4(2x) +4(1) = 8x+4
<u>Step(iii)</u>:-
By using mean value theorem
8c+4 = -3-(-3)
8c+4 = 0
8c = -4
c ∈ (-1,0)
<u>Conclusion</u>:-
The value of c = -0.5∈ (-1,0)
<u></u>
Answer:
i) 24
ii) 4 girls, 3 boys
Step-by-step explanation:
The GCF is 24
96= 24*<u>4</u>
72= 24*<u>3</u>
<u />
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<u>I hope this helps!</u>
Answer:
The answer is 17 and no
Step-by-step explanation:
#11 The room is a cube so...
cube root the volume 4913
³√4913=17
The length of the room is 17 feet.
#12
Square root 121
√121=11
Since the car is 13 feet the car will not fit in the garage which is 11ft.
