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krok68 [10]
2 years ago
6

For the function G defined by G(x)=5x+3, find G(2b).

Mathematics
1 answer:
dezoksy [38]2 years ago
8 0

g(2b)=5\cdot2b+3=10b+3

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A triangle is such that the largest angle is 7 times the smallest angle. The third angle is 15 less than the largest angle. Find
Tcecarenko [31]

Answer:

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

Step-by-step explanation:

Let's recall that the interior angles of a triangle add up to 180°, therefore we have:

Smallest angle = x

Largest angle = 7x

Third angle = 7x - 15

Now, we can solve for x, using the following equation:

x + 7x + 7x - 15 = 180

15x = 180 + 15

15x = 195

x = 195/15

x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

8 0
2 years ago
What value of x will make the angle between the pottery and the arrowhead measure 57
Angelina_Jolie [31]

Answer:

x = 9

Step-by-step explanation:

Take the angle of LOJ (3x) and JOK (2x+12).

LOJ + JOK = LOK.

LOK = 57.

So, 3x + 2x + 12 = 57

3x + 2x = 5x

5x + 12 = 57

57 - 12 = 45

5x = 45

x= 9

3 0
2 years ago
Find the approximate value of the circumference of a circle with the given radius. Use = 3.14. Round your results to one more de
oksano4ka [1.4K]
The answer would be D. 37.7 ft. I hope this helped ^^
7 0
2 years ago
Read 2 more answers
A team of 17 softball players need to choose three players to refill the water cooler. How many different ways are there to sele
KATRIN_1 [288]
<h3>Answer: 680 different combinations</h3>

=======================================================

Explanation:

If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.

So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.

An alternative is to use the nCr formula with n = 17 and r = 3. That formula is

_n C _r = \frac{n!}{r!*(n-r)!}

where the exclamation marks indicate factorials

5 0
2 years ago
Which is the graph of g(x) = (0.5)x + 3 – 4? On a coordinate plane, an exponential function decreases in quadrant 2 and has a ho
Mashcka [7]

Answer:

The graph will be an exponential function that crosses the y-axis at about (0, -4).

Step-by-step explanation:

g(x) = (0.5)^{x + 3} - 4

That means that when x = 0...

g(0) = (0.5)^{0 + 3} - 4

g(0) = (0.5)^{3} - 4

g(0) = 0.125 - 4

g(0) = -3.875

So, the graph will be an exponential function that crosses the y-axis at about (0, -4).

Hope this helps!

5 0
2 years ago
Read 2 more answers
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