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3 years ago

Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!

Mathematics

2 answers:

Marysya12 [62]3 years ago

8 0

Answer:

Step-by-step explanation:

distribute the 5, combine the x, add 10 to -8 to get 2 and finally 6x < 2

NARA [144]3 years ago

6 0

Answer:

x ≤ 1/3

Step-by-step explanation:

You might be interested in

Consider the random variables X and Y with joint density function ???? f(x,y)= x+y, 0≤x≤1;0≤y≤1 0, elsewhere. (a) Find the margi

sp2606 [1]

a. The marginal densities

$f_X(x)=\displaystyle\int_0^1(x+y)\,\mathrm dy=x+\frac12$

and

$f_Y(y)=\displaystyle\int_0^1(x+y)\,\mathrm dx=y+\frac12$

b. This can be obtained by integrating the joint density over [0.25, 1] x [0.5, 1]:

$P(X>0.25,Y>0.5)=\displaystyle\int_{1/4}^1\int_{1/2}^1(x+y)\,\mathrm dx\,\mathrm dy=\frac{33}{64}$

7 0

3 years ago

The width of a rectangle is 7x - 6 feet and the length is 3x + 7 feet. Find the perimeter of the rectangle.

aliina [53]

Answer:

P= 20x+2 ft

Step-by-step explanation:

________

I I

I I 3x + 7ft

________

7x - 6ft

P= (7x - 6 + 7x - 6) + (3x + 7 + 3x + 7)

= (14x - 12) + (6x + 14)

= 20x + 2 ft

8 0

3 years ago

An athlete ran a sprint of 100 ft in 3.1 s. At what speed was the athlete running in miles per hour? Round to the nearest mile p

nordsb [41]

Answer:

22 miles per hour

Step-by-step explanation:

we know that

The speed is the ratio of distance by the time

Let

d -----> distance in feet

t ----> time in seconds

s ----> the speed in ft/sec

$s=\frac{d}{t}$

we have

$d=100\ ft\\t=3.1\ sec$

substitute

$s=\frac{100}{3.1}$

$s=32.26\frac{ft}{sec}$

Remember that

$1\ mi=5,280\ ft$

$1\ h=3,600\ sec$

Convert ft/sec to mi/h

$s=32.26\frac{ft}{sec}=32.26\frac{(1/5,280)}{(1/3,600)}=32.26(\frac{3,600}{5,280})=22\ \frac{mi}{h}$

7 0

3 years ago

Solve and check:8a-4=25+6(a-8)

OlgaM077 [116]

8a - 4 = 25 + 6 (a - 8)

(distribute the 6)

8a - 4 = 25 + 6a - 48

(combine like terms 25 - 48)

8a - 4 = 6a - 23

( subtract 6a from both sides)

2a - 4 = -23

(add 4 to both sides)

2a = -19

(divide both sides by 2)

a = - 9.5

////CHECK/////

8 (-9.5) - 4 = 25 + 6 ( -9.5 -8)

(plug each side into a calculator)

-80 = -80

FINAL ANSWER:

a = -9.5

5 0

3 years ago

Given: sin(18m-12)=cos(7m+2), find the value of m.

V125BC [204]

Answer:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Step-by-step explanation:

Solve for m:

-cos(7 m + 2) sin(12 - 18 m) = 0

Multiply both sides by -1:

cos(7 m + 2) sin(12 - 18 m) = 0

Split into two equations:

cos(7 m + 2) = 0 or sin(12 - 18 m) = 0

Take the inverse cosine of both sides:

7 m + 2 = π n_1 + π/2 for n_1 element Z

or sin(12 - 18 m) = 0

Subtract 2 from both sides:

7 m = -2 + π/2 + π n_1 for n_1 element Z

or sin(12 - 18 m) = 0

Divide both sides by 7:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or sin(12 - 18 m) = 0

Take the inverse sine of both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or 12 - 18 m = π n_2 for n_2 element Z

Subtract 12 from both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or -18 m = π n_2 - 12 for n_2 element Z

Divide both sides by -18:

Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

3 0

3 years ago