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2 years ago

Which of the following inequalities represents the number line below?

Mathematics

1 answer:

gregori [183]2 years ago

5 0

Answer:

x ≤ 4

Step-by-step explanation:

the solid dot at 4 indicates that x can equal 4

the arrow points to the left indicating values less than 4 , then

x ≤ 4

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Evaluate 13-0.75w+8x when w=12 and x=1/2

podryga [215]

Step-by-step explanation:

13 - 0.75w + 8x

13 - 0.75(12) + 8(.5)

13 - 9 + 4

4 + 4 = 8

3 0

3 years ago

Simplify the expression: -2x + 3 - (5-6x)

levacccp [35]

Answer:

4x+3

How: -2x - (-6x) = 4

3 cannot be added there you go

8 0

3 years ago

James is two years older than his brother Tom and three years younger than his sister Sharon. The sum of their ages is 70. What

nikdorinn [45]

Answer: James is 23. Tom is 21. Sharon is 26

Step-by-step explanation:

8 0

2 years ago

Which equation is the inverse of 5y+4 = (x+3)^2 +1/2?

maxonik [38]

Answer:

Answer D

Explanation:

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To simply find the answer, you need to a: solve for y ; b: Find the square root of both sides ; c: solve the equation.

Hope this helps.

7 0

3 years ago

Read 2 more answers

Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.

skad [1K]

Answer:

The absolute maximum and minimum is $20\; \text{and} -20.$

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

$f_x=y-4=0$

$f_y=x=0$

The only solution to this system of equations is the point (0, 4), which lies in the domain.

$f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1$

$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

Boundary points - $(4,0), (-4,0), (0,16)$

Along boundary $y=16-x^2$

$f=x(16-x^2)-4x$

$=16x-x^3-4x$

$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

6 0

3 years ago