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pogonyaev
3 years ago
13

Please help me in these parts

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
The answer is three cups of sugar five cups of water
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For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output? A. Both compositions produce
o-na [289]
F(g(x)) = 2(5x+1)-6 = 10x+2-6 = 10x-4

g(f(x)) = 5(2x-6)+1 = 10x-30+1 = 10-29

10x-4>10-29 because from f(g(x)) you subtract less quantity. 
The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.
8 0
4 years ago
If g(x)=4x-6 then g^-1(x)=?<br> (1) -4x+6<br> (2)-1/4x+1/6<br> (3)1/4x+3/2<br> (4)1/4x+6
kati45 [8]

Given:

g(x)=4x-6

To find:

The function g^{-1}(x).

Solution:

we have,

g(x)=4x-6

Put g(x)=y.

y=4x-6

Interchange x and y.

x=4y-6

Isolate y.

x+6=4y

\dfrac{x+6}{4}=y

y=\dfrac{x+6}{4}

Substitute y=g^{-1}(x).

g^{-1}(x)=\dfrac{x+6}{4}

g^{-1}(x)=\dfrac{x}{4}+\dfrac{6}{4}

g^{-1}(x)=\dfrac{x}{4}+\dfrac{3}{2}

Therefore, the correct option is (3).

4 0
3 years ago
Read 2 more answers
Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each squ
zheka24 [161]

Answer:

4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6

Step-by-step explanation:

4 0
3 years ago
Bryan earns $11.80 per hour. He is paid time and a half for hours worked over 8 hours in a day. Yesterday Bryan worked 9.25 hour
zloy xaker [14]

Answer:

$116.53

Step-by-step explanation:

Bryan earn's 11.80 per hour. He is paid time and a half for hours worked over 8hrs in a day. So if you divide 11.80 by 2, you get 5.90.

11.80+5.90=17.70. This is the amount he gets paid if he works overtime.

If Bryan worked 9.25 hrs yesterday, we already know that he made $94.40 in 8 hours. We have to find the amount he got paid for working over time.

The remaining hours are 1.25. We can add $17.70 to 94.40 to get 112.10. Now we have to figure out the remainder which is a quarter of an hour. Multiply 17.70 by .25 and you will get 4.43.

The total amount he got paid for working over time was $116.53.

5 0
3 years ago
Find the area enclosed by the graphs of y = sin x, y = cos x, x = 0, and x = 2. Sketch a graph.
mars1129 [50]

Answer:

1.34 (3 sf)

Step-by-step explanation:

To find the area between 2 curves:

\int\limits^a_b {(top-bottom)} \, dx

As these 2 curves intersect, we have to first calculate where they intersect, then work out the area between the curves BEFORE and AFTER the point of intersection, as the "top" and "bottom" curves change after the point of intersection (see attached graph).

   sin(x) = cos(x)

⇒ tan(x) = 1

⇒ x = \frac{1}{4} \pi

So the curves intersect at x=\frac{1}{4} \pi (between x = 0 and x = 2)

To calculate the area between the 2 curves, x=0 and x=\frac{1}{4} \pi:

\int\limits^a_b {(top-bottom)} \, dx=\int\limits^\frac{\pi}{4}_0 {(cos(x)-sin(x))} \, dx=\sqrt{2}-1

Then to calculate the area between the 2 curves, x=\frac{1}{4} \pi and x=2:

\int\limits^a_b {(top-bottom)} \, dx=\int\limits^2_\frac{\pi}{4} {(sin(x)-cos(x))} \, dx=0.92106...

Therefore, the total area = \sqrt{2} -1+0.92106...=1.335276534...

(Please Brainliest if helped - thanks!)

6 0
2 years ago
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