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miss Akunina [59]
3 years ago
15

How do i solve this?

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0

(f - g)(x) = f(x) - g(x)

… = (3x² - 4) - (4x + 1)

… = 3x² - 4x - 5

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What is the length of the hypotenuse, c? Round your answer to the nearest hundredth.
Afina-wow [57]

Answer:

Step-by-step explanation:

By using the Pythagorean theorem:

b^2+3^2=5^2
b^2+9=25

b=sqrt (25-9)

b=sqrt(16)

b=4

=> 4^2+7^2=c^2
16+49=c^2
65=c^2
=>c=sqrt(65)

c = (approximately) 8

5 0
2 years ago
One alloy is 2 parts iron to 3 parts silver and another alloy is 7 parts iron to 3 parts silver. How much of each should be comb
Shalnov [3]
Let x be your first alloy
2/5x+7/10(30-x)=1/2(30)
4x+210-7x=150
3x=60
x=20
So, you need 20 lbs of the first alloy, and 10 parts of the second to make 30 lbs of half iron and half silver alloy!
8 0
3 years ago
Tan(-100) is equivalent to
OLga [1]
5.67 (performed on a calculator)
8 0
3 years ago
Read 2 more answers
Given: m angle P equals open parentheses 5 x minus 27 close parentheses degree, m angle Q equals open parentheses 4 x minus 7 cl
max2010maxim [7]

Answer: Side QR

Step-by-step explanation: The sum of a triangle internal angles is 180°. So to determine the angles, we calculate x:

5x - 27  +4x - 7 + 3x + 10 = 180

12x = 204

x = 17

With x, solve for the angles:

m∠P = 5(17) - 27 = 58

m∠Q = 4(17) - 7 = 61

m∠R = 3(17) + 10 = 61

The relationship between angles and sides in any triangle:

  • the largest angle is opposite the largest side;
  • the middle angle is opposite to the middle-sized side;
  • the shortest angle and side are opposite to each other;

So, the shortest side of PQR is the side opposite to the shortest angle.

The shortest angle is m∠P = 58°. Therefore, the shortest side is QR

5 0
3 years ago
If f(x) = 2x-7, what is the equation for f^-1(x)?
quester [9]
F= -1
2x (-1)-7= -2-7= -9
8 0
3 years ago
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