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velikii [3]
3 years ago
13

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they

charged a total of $1950. What was the rate charged per hour by each mechanic if the sum of the two rates was $200 per hour?
Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0
6x+8y=1,200and 150adults
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Y=3x^2+11x-4 and y=10x-1. solve the system of equations
Mashcka [7]
3x^2+11x-4=10x-1
3x^2+11x-10x-4+1=0
3x^2+x-3=0
Δ=1^1-4*3*(-3)=1+36=37
x1=(-1+V37)/6

x2=( -1-V37)/6
7 0
3 years ago
For f(x) = 3x - 1 and g(x) = x+2, find (f – g)(x).
kobusy [5.1K]
Well, I bet you want your answer right away! So here it is.


<span>Given <span>f (x) = 3x + 2</span> and <span>g(x) = 4 – 5x</span>, find <span>(f + g)(x), (f – g)(x), (f × g)(x)</span>, and <span>(f / g)(x)</span>.</span>

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

<span>\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}<span><span>(<span><span>​g</span>​<span>​f</span><span>​​</span></span>)</span>(x)=<span><span>​<span>g(x)</span></span>​<span>​<span>f(x)</span></span><span>​​</span></span></span></span><span>= \small{\dfrac{3x+2}{4-5x}}<span>=<span><span>​<span>4−5x</span></span>​<span>​<span>3x+2</span></span><span>​​</span></span></span></span>

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

<span>\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}<span><span>(<span><span>​g</span>​<span>​f</span><span>​​</span></span>)</span>(x)=<span><span>​<span>4−5x</span></span>​<span>​<span>3x+2</span></span><span>​​


Hope I helped! :) If I did not help that's okay.


-Duolingo
</span></span></span></span>

7 0
3 years ago
PLEASE HELP HURRY WITH THE QUESTIONS BELOW!!!!!
AnnZ [28]

From left to right, the answers are:  152, D(line e), C(obtuse), 44 degrees.

Now I feel guilty and sleezy.  Giving answers alone without explanations
is something I almost never do, because it doesn't help anybody do
anything but cheat.  But it's all I have time for right now.  If a mod comes
along and decides to delete this because of no explanations, then let him
delete it.  It'll serve us right, you and me both.


8 0
3 years ago
Explain how to estimate 36.8 + 231 two different ways
larisa [96]
You could do 37+230 or 40 + 235
5 0
3 years ago
Put these numbers in order from least to greatest 12%, -1/2, 0, -0.22, 0.56
uysha [10]

Answer: -1/2, -0.22, 0, 12%, 0.56

Step-by-step explanation:

-1/2 is equal to -0.50, making it the number with the least value.

-0.22 is closer to 0 than -0.50, meaning it is greater then -0.50 and less than 0.

0 is between the negative and positive numbers, giving it the spot that it has.

12% is equivalent to 0.12, meaning it is more than 0, and less than 0.56, which is the greatest number.

0.56 has more value than any other number in the problem, meaning it goes last in the order.

8 0
3 years ago
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