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3 years ago

Solve for x 4(2x+3)=-6+5x

Mathematics

2 answers:

ra1l [238]3 years ago

6 0

Answer:

x = -6

Step-by-step explanation:

babunello [35]3 years ago

5 0

4(2x+3)=-6+5x

Multiply the bracket by 4

(4)(2x)(4)(3)=-6+5x

8x+12=5x-6

Move 5x to the other side. Sign changes from +5x to -5x.

8x-5x+12=5x-5x-6

8x-5x+12=-6

3x+12=-6

Move 12 to the other side. Sign changes from +12 to -12.

3x+12-12=-6-12

3x=-18

Divide by 3 for both sides

3x/3=-18/3

Cross out 3 and 3, divide by 3 and then becomes x

x=-6

Answer: x=-6

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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

2 years ago

Tom drank 1 1/4 quarts of water and his sister drank 1.75 who drank the most water

Genrish500 [490]

Answer:

his sister bc 1.75 is 1 3/4

Step-by-step explanation:

4 0

2 years ago

Please help if you can!!!!

storchak [24]

Answer:Well, I don't know what you got so I can't tell you if it is right.

If it works in both equations, it depends of whether your equations are set up correctly.

Here is how I would do this problem.

Let x = no. of hot dogs,y = number of sodas.

First equation is just about the number of things.

x + y = 15

Second equation is about the cost of things.

1.5 x + .75 y = 18

solve x+y = 15 for y y = 15-x substitute into second equation

1.5x + .75(15 - x) = 18

You should get the correct answer for number of hot dogs if you solve this correctly. Put your answer in the x + y =15 equation to get y. Then put both x and y into the cost equation and check your answer.

Hope this helps.

Step-by-step explanation:

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emmainna [20.7K]

I would think 0.10 would be the answer

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kramer

Answer:

Step-by-step explanation:

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