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1 year ago

Graph. (Shade. Dashed line. Solid line?) x+3y≥3

Mathematics

1 answer:

Allisa [31]1 year ago

5 0

Answer:

Since the graph looks like this, I would say solid line

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Factor completely 16x^2+40x+25

Alex17521 [72]

Answer:

Hence, the factor of given algebraic equation:

$16x^2+40x+25$ is:

$(4x+5)^2=(4x+5)(4x+5)$

Step-by-step explanation:

<em>" To factor an algebraic equation means to represent it in the most simplest form "</em>

Here we are given an algebraic equation as:

$16x^2+40x+25$

Now this algebraic equation could also be represented as:

$16x^2+40x+25=(4x)^2+2\times (4x)\times 5+5^2\\\\16x^2+40x+25=(4x+5)^2$

Hence, the factor of the given algebraic equation:

$16x^2+40x+25$ is:

$(4x+5)^2=(4x+5)(4x+5)$

4 0

3 years ago

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Drag the numbers to order them from least to greatest.

Licemer1 [7]

Least to Greatest: -4 1/2, -1/2, 1/4, 2/3, 2 1/3

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3 years ago

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Use the inverse function-inverse cofunction

vivado [14]

Answer:

$arccot(x)'=-\frac{1}{1+x^2}$

Step-by-step explanation:

<u>Use implicit differentiation:</u>

$y=arccot(x)$

$cot(y)=x$

$\frac{1}{tan(y)}=x$

$\frac{cos(y)}{sin(y)}=x$

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

$\frac{sin(y)(-sin(y))-cos(y)cos(y)}{sin^2(y)}*\frac{dy}{dx}=1$ (Quotient Rule: $\frac{d}{dx}(\frac{f(x)}{g(x)})=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}$ )

$\frac{-sin^2(y)-cos^2(y)}{sin^2(y)}*\frac{dy}{dx}=1$

$\frac{-(sin^2(y)+cos^2(y))}{sin^2(y)}*\frac{dy}{dx}=1$

$\frac{-1}{sin^2(y)}*\frac{dy}{dx}=1$

$-csc^2(y)\frac{dy}{dx}=1$

$\frac{dy}{dx}=\frac{1}{-csc^2(y)}$

$\frac{dy}{dx}=-sin^2(y)$

$\frac{dy}{dx}=-sin^2(arccot(x))$

See the attached picture to understand how to evaluate the mixed composition of trig functions using a right triangle.

Therefore, the derivative of arccot(x) is $-\frac{1}{\sqrt{1+x^2}}$ .

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2 years ago

Help anyone? Brainliest and five stars if correct

Leokris [45]

Answer:

X=1

Step-by-step explanation:

6x+2=9x-1

-6x on both sides

2=3x-1

+1 on both sides

3=3x

/3 on both sides

1=x

Flip

X=1

8 0

2 years ago

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If y=4x + 3 find the value of y when x= -2

Oliga [24]

Y=4(-2)+3
y= -8+3
y= -5

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3 years ago

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