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denis23 [38]
3 years ago
6

Help pls someone !!!!

Mathematics
1 answer:
devlian [24]3 years ago
5 0
The answer would be C because you put the rate of change after the initial value.
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Ada, Betty, Chris and David have $45 in total Ada gota 52 fromBetty, Chris tripleshis money and Davids money is cut by hall four
andrezito [222]

Using a system of equations, it is found that initially Ada has $0.385.

For the system, we have that the variables are:

  • x is Ada's amount.
  • y is Betty's amount.
  • z is Chris's amount.
  • w is David's amount.

$45 total, hence:

x + y + z + w = 45

Ada <u>gets 2 from Betty</u>, hence:

x + 2 = y - 2

x = y - 4

y = x + 4

<u>Chris triples</u> his money and <u>David's</u> money is <u>cut by half</u> four of them have the same amount, hence:

x + 4 = y = 3z = \frac{w}{2}

Then:

3z = x + 4

z = \frac{x + 4}{3}

x + 4 = \frac{w}{2}

w = 2x + 8

Solving for w, we find Ada's initial amount.

x + y + z + w = 45

x + x + 4 + \frac{x + 4}{3} + 2x + 8 = 45

4x + 12 + \frac{x + 4}{3} = 45

12x + 36 + x + 4 = 45

13x = 5

x = \frac{5}{13}

x = 0.385

Initially, Ada has $0.385.

A similar problem is given at brainly.com/question/6120515

5 0
2 years ago
Which is equivalent to (-4)3
sveticcg [70]

Answer(-6)2

Step-by-step explanation:

6 0
3 years ago
For all of the Following use the function LaTeX: P\left(x\right)\:=\:\left(x+3\right)^2+2 . My original vertex is
PolarNik [594]

Answer:

A) Q(x) = (x + 3)² + 5, and the vertex is (-3, 5)

B) R(x) = (x - 3)² + 2, and the vertex is (3, 2)

C) S(x) = (x - 1)² - 5, and the vertex is (1, -5)

Step-by-step explanation:

The given function is P(x) = (x + 3)² + 2

The given function is a parabolic function in vertex form, f(x) = a·(x - h)² + k, and vertex, (h, k)

By comparison, the vertex of the function P(x) = (x + 3)² + 2 is (-3, 2)

A) A function f(x) translated α units UP gives

f(x) (translated α units UP) → f(x) + α

A translation of the function 3 units UP is given by adding 3 to the given function as follows;

Q(x) = P(x) + 3

∴ Q(x) = (x + 3)² + 2 + 3 = (x + 3)² + 5

Q(x) = (x + 3)² + 5, and the vertex by comparison to f(x) = a·(x - h)² + k, and vertex, (h, k) is (-3, 5)

B) A function f(x) translated <em>b</em> units RIGHT gives;

f(x) translated <em>b</em> units right → f(x - b)

∴ P(x) = (x + 3)² + 2 translated 6 units RIGHT gives;

P(x) = (x + 3)² + 2 (translated 6 units RIGHT) → R(x) = (x + 3 - 6)² + 2 = (x - 3)² + 2

R(x) = (x - 3)² + 2, and the vertex by comparison is (3, 2)

C) A function translated α units DOWN and <em>b</em> units RIGHT is given as follows;

f(x) \ translated \ by\  \dbinom{b}{a} \rightarrow f(x - b) - a

Therefore, the given function, P(x) = (x + 3)² + 2, translated 7 units DOWN and 4 units RIGHT gives;

P(x) = (x + 3)^2 + 5 \ translated \ by\  \dbinom{4}{-7} \rightarrow P(x - 4) - 7 = S(x)

S(x) = P(x - 4) - 7 = (x + 3 - 4)² + 2 - 7 = (x - 1)² - 5

P(x) = (x + 3)^2 + 5 \ translated \ by\  \dbinom{4}{-7} \rightarrow (x - 1)^2 - 5= S(x)

S(x) = (x - 1)² - 5, and the vertex by comparison is (1, -5)

7 0
3 years ago
Help quick plsssssssssssssssssssss
slamgirl [31]

Answer:

x= 9

y= 4

Step-by-step explanation:

The blue triangle is double the size of green so

2+2=4

18/2=9

7 0
2 years ago
A first order decomposition reaction has a half-life of 64yr. What percentage of the original amount is left after 135years. (gi
vlabodo [156]

Answer:

23.2%

Step-by-step explanation:

First we need to find how many half lives 135 years is:

135 ÷ 64 = 2.109375

Now we divide 100% by 2 to the power of the number of half lives. This is how you calculate the percentage of the original amount left. If you have the original mass, you can substitute that in instead of 100%:

100 ÷ 2^{2.109375} = 23.1747390635

To 1 decimal place it is 23.2%

4 0
3 years ago
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