What inequality is graphed below? x < -4 x ≤ -4 x ≥ -4 x

Easy question. Get your points for the day along with brainliest (15 more points) !

lawyer [7]

Answer:

its c......................................................

Step-by-step explanation:

5 0

3 years ago

Round 8.96278650871 to the nearest millionth.

Andru [333]

the answer is 8.962790 because it is rounded to the nearest millionth

I hope this helps you

5 0

3 years ago

What is the solution to the system of equations below?

Karolina [17]

Answer:

The solution is the point (18,0)

Step-by-step explanation:

we have

$y=-\frac{1}{3}x+6$ -----> equation A

$y=\frac{1}{3}x-6$ -----> equation B

Solve the system by substitution

substitute equation B in equation A

$\frac{1}{3}x-6=-\frac{1}{3}x+6$

solve for x

Adds (1/3)x both sides

$\frac{1}{3}x-6+\frac{1}{3}x=6$

$\frac{2}{3}x-6=6$

Adds 6 both sides

$\frac{2}{3}x=6+6$

$\frac{2}{3}x=12$

$x=12(3)/2\\x=18$

Find the value of y

substitute the value of x in equation A or equation B

$y=-\frac{1}{3}(18)+6=0$

therefore

The solution is the point (18,0)

3 0

3 years ago

Read 2 more answers

Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal to the curve at the given poi

lara [203]

For each curve, plug in the given point $(x,y)$ and check if the equality holds. For example:

(I) (2, 3) does lie on $x^2+xy-y^2=1$ since 2^2 + 2*3 - 3^2 = 4 + 6 - 9 = 1.

For part (a), compute the derivative $\frac{\mathrm dy}{\mathrm dx}$ , and evaluate it for the given point $(x,y)$ . This is the slope of the tangent line at the point. For example:

(I) The derivative is

$x^2+xy-y^2=1\overset{\frac{\mathrm d}{\mathrm dx}}{\implies}2x+x\dfrac{\mathrm dy}{\mathrm dx}+y-2y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x+y}{2y-x}$

so the slope of the tangent at (2, 3) is

$\dfrac{\mathrm dy}{\mathrm dx}(2,3)=\dfrac74$

and its equation is then

$y-3=\dfrac74(x-2)\implies y=\dfrac74x-\dfrac12$

For part (b), recall that normal lines are perpendicular to tangent lines, so their slopes are negative reciprocals of the slopes of the tangents, $-\frac1{\frac{\mathrm dy}{\mathrm dx}}$ . For example: