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2 years ago

Plz help! I don’t understand this

Mathematics

1 answer:

kiruha [24]2 years ago

5 0

Answer:

Option B

Step-by-step explanation:

-1/2x≥4

1) Multiply both sides of the inequality by the reciprocal of -1/2: (-2)

x≤-8

Graph x≤-8 as a line. Remember that lesser negative values go to the left!

ALSO don't forget when you multiply both sides of an inequality by a negative number the inequality sign flips.

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PLEASE HELP ME OUT...

katrin2010 [14]

Answer:

$area = 144\pi$

Step-by-step explanation:

$volume = \frac{4}{3} \pi {r}^{3} \\ \\ 288\pi = \frac{4}{3} \pi {r}^{3} \\ \\ 3(288\pi) = 4\pi {r}^{3} \\ \\ \frac{3(288\pi)}{4\pi} = {r}^{3} \\ \\ 216 = {r}^{3} \\ \\ r = \sqrt[3]{216} \\ r = 6$

$area = 4\pi {r}^{2} \\ area = 4\pi ({6}^{2}) \\ area = 144\pi$

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2 years ago

Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0

2 years ago

Triangle ABC is to be dilated through point P with a scale factor of 3. How many units away from point A along ray PA will A’ be

drek231 [11]

Answer:

A' will be located 10 units from point A along ray PA

Step-by-step explanation:

we know that

The scale factor is equal to 3

To obtain PA', multiply PA by the scale factor

PA'=PA*3

PA=5 units

substitute

PA'=(5)*3=15 units

AA'=PA'-PA=15-5=10 units

therefore

A' will be located 10 units from point A along ray PA

3 0

2 years ago

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How does the graph of the function g(x) = 2x - 3 differ from the graph of f(x) = 2X?

fredd [130]

Answer:

Step-by-step explanation:

Ο Α.

A. It is moved up 3 units.

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2 years ago

Solve the equation <br> 13(x + 1) + 2x = 2

Goryan [66]

13x + 13 + 2x = 2
15x + 13 = 2
15x = -11

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2 years ago

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