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2 years ago

5(9-x)/3 +1 less than 11find x

Mathematics

1 answer:

Lunna [17]2 years ago

5 0

Answer:

x > $\frac{1}{5}$

Step-by-step explanation:

$\frac{5(9-x)}{3+1}$

Add 3 and 1 to get 4.

$\frac{5(9-x)}{4}$

Use the distributive property to multiply 5 by 9−x.

$\frac{45-5x}{4}$

Subtract 45/5 from both sides.

$-\frac{5}{4}x$

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

$-\frac{5}{4} x$

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

$x>-\frac{1}{4} (-\frac{4}{5} )$

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

$x>\frac{-(-4)}{4 x 5}$

$x>\frac{1}{5}$

You might be interested in

Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

11 months ago

Can somebody answer this question correctly

serg [7]

Your answer well be 8

5 0

2 years ago

1/8 of the boys at a high school tried out for the football team, 1/6 tried out for the baseball team, and 1/ 12 tried out for t

Xelga [282]

Answer:

2/3

Step-by-step explanation:

This problem is an overlap problem. First we have that 1/8 total tried out for football team, 1/6 total tried out for baseball team and 1/12 of the students that tried out for both football and baseball team.

So if we want to find those who just tried football, we perform the following operation:

1/8 - 1/12 = 1/24.

So we know that 1/24 tried out just football.

If we want to find all those who tried out just for baseball, we perform the following operation:

1/6 - 1/12 = 1/12

So we know that 2/24 (1/12 multiplied by two) tried for both football and baseball and 3/24 tried out for football, it means that 2/3 of the boys who tried football also tried baseball.

7 0

2 years ago

Factor completely.<br> X^4-10x^2+24

OLEGan [10]

Answer:

(x^2-6)(x+2)(x-2)

Step-by-step explanation:

x^4-10x^2+24

(x^2-6)(x+2)(x-2)

5 0

2 years ago

What is y when x is equal to 10 in 10x+y=19

Maurinko [17]

<span>10x+y=19

when x = 10:

substitute with x=10 into the equation given:

10(10) + y = 19

or:

100 + y = 19

bring 100 to the other side to be -100

y = 19 - 100

y = -81

That's it
</span>

4 0

2 years ago

5(9-x)/3 +1 less than 11find x​

5(9-x)/3 +1 less than 11find x