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2 years ago

Find the minimum point for the function f(x) = |2x - 1| (0, ½) (½, 0) (0, -½) (-½, 0)

1 answer:

6 0

Minimum point of an absolute value function is when f(x) = 0
0 = |2x - 1|
2x - 1 = 0
2x = 1
x = 1/2

Minimum point is (1/2, 0)

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Plz help I just need numbers

insens350 [35]

Answer:

(0, 0)

Vertex: (1, -5)

(2, 0)

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3 years ago

Solve the following system of equations: x − 2y = 5 2x − 4y = 10

emmasim [6.3K]

$\left\{\begin{array}{ccc}x-2y=5\\2x-4y=10&|divide\ both\ sides\ by\ (-2)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=5\\-x+2y=-5\end{array}\right}\\.\ \ \ \ \ \ \ \ \ \ \ 0=0-true\\\\Answer:infinitely\ many\ solutions\ \left\{\begin{array}{ccc}x\in\mathbb{R}\\y=\dfrac{x-5}{2}\end{array}\right$

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3 years ago

A painter needs to buy a ladder in order to paint a wall that is 18 feet high. In order to ensure the ladder does not fall it ne

trapecia [35]

Answer:

222! thats your answer!

Step-by-step explanation:

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2 years ago

Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher

Artemon [7]

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find t.

$A(t)=A_{0}(1/2)^t^/^h$

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For $A_{0$ let's just assume that there are 100 original atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. h is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

$74=100(1/2)^t^/^5^7^3^0$

Now, solve. First, divide by 100.

$0.74=(0.5)^t^/^5^7^3^0$

Take the log of everything

$log(0.74)=\frac{t}{5730} log(0.5)$

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the t and get

$5730\frac{log(0.74)}{log(0.5)} =t$

Use your calculator to solve that giant mess for t and you'll get that t is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

5 0

2 years ago

Helloo!!! please help me on this !!!!

ivann1987 [24]

It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°

$\mathfrak{10x - 18 = 8x}$