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stira [4]
2 years ago
6

Help fast will give Brainlyest

Mathematics
1 answer:
ruslelena [56]2 years ago
8 0

Answer: 64

Step-by-step explanation:

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Solve 7x-6 > 8 and 3x + 4> 22 for x. Could you please help solve this.
Fiesta28 [93]
7x-6 > 8 \\ \\7x>8+6 \\ \\7x>14 \ \ :7 \\ \\x>2 \\ \\ \\3x+4>22 \\ \\3x>22-4\\ \\3x>18\ \ /:3\\ \\x>6
4 0
3 years ago
Read 2 more answers
Given right triangle A w/a hypotenuse length of 3y + x and a leg of y-x, and right triangle B, w/ a hypotense length of y+5 and
SpyIntel [72]
Triangle A

hypotenuse: 3y + x
leg: y - x

Triangle B

hypotenuse: y + 5
leg: x + 5

Congruency => 3y + x = y + 5 and y - x = x + 5

Solve the system

3y + x = y + 5 -> 2y + x = 5
y - x = x + 5 -> y - 2x = 5

  2y + x = 5
-2y + 4x = -10

5x = -5
x = -1
y = (5 -(-1)) / 2 = 6/2 = 3

Verify:

 hypotenuses
3y + x = 9 - 1 = 8
y + 5 = 3 + 5 = 8

Legs:

y - x = 3 -(-1) = 3 + 1 = 4
x + 5 = -1 + 5 = 4.

Then both hypotenuses and both legs are congruent.

Answer: x = -1 and y = 3


4 0
3 years ago
Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75

(b)

Compute the variance of X as follows:

\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083

(c)

Compute the value of P(X < 3.7) as follows:

P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898

Thus, the value of P(X < 3.7)  is 0.4898.

5 0
2 years ago
A 10 foot tree casts a 4.5 foot shadow.
ser-zykov [4K]
It will  cast an 11.25 foot shadow.
3 0
3 years ago
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When forests are replaced with cities,
Lilit [14]

Answer:

the balance of nature is changed

Step-by-step explanation:

your answer

6 0
2 years ago
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