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Ne4ueva [31]
3 years ago
11

For Anya's birthday her father gave out colorful birthday hats that were

Mathematics
1 answer:
mafiozo [28]3 years ago
4 0

Answer: 21 cm is the volume

Step-by-step explanation: multiply 7cm x3 cm

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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 ASAP.......
marta [7]

Answer:

The answer is x=10

Step-by-step explanation:

5/6x - 10 = 1/3x -5 multiple both sides by 6

5x - 60 = 2x -30 move the terms

5x - 2x = -30 +60

3x = 30 divide by 3

x = 10

3 0
3 years ago
Joe went to the hobby shop and bought 2 sport cars at %8.95 each and some paints.If he spent a total of %23.65,What was the coas
sweet-ann [11.9K]

I'm assuming that % means $:

8.95*2 = 17.9

23.65 - 17.9 =  5.74

The cost of the paint was $5.74

7 0
3 years ago
A high school track is shaped as a rectangle with a half circle on either side. Jasmine plans on running TWO laps. How many yard
finlep [7]

Answer:

880 yards

Step-by-step explanation:

4 0
3 years ago
State the Angle Relationship &amp; Find the measure of the indicated angle that makes lines u and v parallel.
san4es73 [151]

Answer:

the indicated angle should be 121°

Step-by-step explanation:

If 2 lines are parallel to each other & a transversal intersects both of them , the corresponding angles on a same side are equal.

If the indicated angle will be equal to the given angle , they will be known as corresponding angles only when v || u.

So the indicated angle is 121°

8 0
3 years ago
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