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liq [111]
4 years ago
12

Value of two numbers if the sum is 12 and differnce is 4

Mathematics
2 answers:
kotykmax [81]4 years ago
6 0
 this would be 4 and 8 

8-4 = 4  and 8+4 = 12

Answer 4 and 8.
alexandr1967 [171]4 years ago
4 0
8+4=12
8-4=4. that's the answer

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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not m
Zigmanuir [339]

Answer:

(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.

(b) c =0.51995

Step-by-step explanation:

Given

f(x) = e^{-4x};\ [0,2]

Solving (a); Does the function satisfy M.V.T on the given interval

We have:

f(x) = e^{-4x};\ [0,2]

The above function is an exponential function, and it is differentiable and continuous everywhere

Solving (b): The value of c

To do this, we use:

f'(c) = \frac{f(b) - f(a)}{b - a}

In this case:

[a,b] = [0,2]

So, we have:

f'(c) = \frac{f(2) - f(0)}{2 - 0}

f'(c) = \frac{f(2) - f(0)}{2}

Calculate f(2) and f(0)

f(x) = e^{-4x}

So:

f(2) = e^{-4*2} = e^{-8} = 0.00033546262

f(0) = e^{-4*0} = e^{0} = 1

This gives:

f'(c) = \frac{0.00033546262 - 1}{2}

f'(c) = \frac{-0.99966453738}{2}

f'(c) = -0.4998

Note that:

f'(x) = (e^{-4x})'

f'(x) = -4e^{-4x}

This implies that:

f'(c) = -4e^{-4c}

So, we have:

f'(c) = -0.4998

-4e^{-4c} =-0.4998

Divide both sides by -4

e^{-4c} =\frac{-0.4998}{-4}

e^{-4c} =0.12495

Take natural logarithm of both sides

\ln(e^{-4c}) =\ln(0.12495)

\ln(e^{-4c}) =-2.0798

Apply law of natural logarithm

\ln(e^{ax}) =ax

So:

-4c =-2.0798

Solve for c

c =\frac{-2.0798}{-4}

c =0.51995

3 0
3 years ago
The ratio of the corresponding linear measures of two similar cans of fruit is 4 to 7. The smaller can has a surface area of 220
Oxana [17]
4/7=220/x. multiply 220 by 7 then divide by 4. x=385 square centimeters.
5 0
3 years ago
I'm stuck idkdmsjshhdhd
Klio2033 [76]
I hope this helps you



1)


a) 18/50


b) 6.1/3=2


c) 9/2.8/3=3.4=12


2)


1 1/2=1.2+1/2=3/2


3 3/4=3.4+3/4=15/4



if we can 12 muffins with 3/2 cups


how many muffins with 15/4


?.3/2=12.15/4


?=30 muffins


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3 years ago
What is the inverse of y=(x-6)^2 +2 ?
drek231 [11]

Answer:

Step-by-step explanation:

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3 years ago
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the value of x is 90

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