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Scilla [17]
3 years ago
7

Solve for :(x+3)/2=6​

Mathematics
1 answer:
Marianna [84]3 years ago
5 0

Answer:

x=9

Step-by-step explanation:

(x+3)/2=6​

Multiply each side by 2

2*(x+3)/2=6*2

x+3 = 12

Subtract 3 from each side

x+3-3 = 12-3

x = 9​

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An online photo services charge $20 to make a photo book with 16 pages each extra page cost a dollar 75 the cost to ship the com
Alisiya [41]

Answer:

The expression to determine the total cost in dollars is y=25+0.75x.

Step-by-step explanation:

Given:

Service charge to make a photo book = $20

Cost per extra page = $0.75

Cost to ship the complete photo book = $5

We need to write expression to determine the total cost in dollars.

Solution:

Let the number of extra pages be denoted by 'x'.

Also Let the Total cost be denoted by 'y'.

Now we can say that;

Total cost will be equal to sum of Service charge to make a photo book and  Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.

framing in equation form we get;

y=20+0.75x+5\\\\y=25+0.75x

Hence the expression to determine the total cost in dollars is y=25+0.75x.

3 0
3 years ago
What is the equation of the circle with center (-3.2,-2.1) and the radius 4.3?
Nadya [2.5K]
If this makes sense lol... <span>C = 2πr ≈ 2(3.14)(4.3) ≈ 27.02 m. An object travels in a circle of </span>radius 4.3<span>m at constant speed. It takes 1.4 seconds to go around once</span>
5 0
4 years ago
Read 2 more answers
3
Dimas [21]

Answer:

5-i

Step-by-step explanation:

Product=multiplication

Let the complex number=x

(3+2i)*x=17+7i

x=17+7i / 3+2i

x=(17-7i)*(3-2i)/(3+2i)*(3+2i)

=51-34i+21i+14i^2 / 9+6i+6i+4i^2

=51+13i+14i^2 / 9+12i+4i^2

= (51+14 - 13i) / 13

= (65 -13i) / 13

= 65 / 13 - 13 i / 13

= 5 - i.

5 0
3 years ago
How much time has passed?
Drupady [299]

Answer:

2 hours 40 minutes

Step-by-step explanation:

If you add 3 hours, it will be 7:45

You subtract 20 minutes to get to 7:25

3 hours - 20 minutes = 2 hours 40 minutes

6 0
3 years ago
Read 2 more answers
Find the absolute extreme of the function on the closed interval. y=9e^xsinx , [0,pi]
Molodets [167]

For convenience sake, I will let y=f(x)=9e^{x}\sin x

First, we evaluate the function at the endpoints of the interval.

f(0)=9e^{0}\sin(0)=0\\\\f(\pi)=9e^{\pi}\sin(\pi)=0

Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

f'(x)=9e^{x} \frac{d}{dx} \sin x+9\sin x \frac{d}{dx} e^{x}=9e^{x}(\cos x+\sin x)

Setting this equal to 0,

9e^x (\cos x+\sin x)=0

Since 9e^x > 0, we can divide both sides by 9e^x.

\cos x+\sin x=0\\\\\sin x=-\cos x\\\\\tan x=-1\\\\x=\frac{3\pi}{4}

f\left(\frac{3\pi}{4} \right)=9e^{3\pi/4}\sin \left(\frac{3\pi}{4} \right)=\frac{9\sqrt{2}e^{3\pi/4}}{2}

So, the absolute minimum is \boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)} and the absolute minima are \boxed{(0,0), (\pi, 0)}

3 0
2 years ago
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