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kherson [118]
2 years ago
8

Solve the system of equations -3x-5y=-16 and 4x+6y=16

Mathematics
1 answer:
Ann [662]2 years ago
7 0

Answer:

x=-56 y=80

Step-by-step explanation:

solved with delta way

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Need help plz .You have $2500 to invest in two different accounts. In order to save the money you need for college, you need to
siniylev [52]

I’m pretty sure that it’s C

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3 years ago
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Apparently, depression significantly increases the risk of developing dementia later in life (BBC News, July 6, 2010). In a rece
LekaFEV [45]

Answer:

  • <em><u>0.126</u></em>

<em><u></u></em>

Explanation:

<u>1. Determine the percent of people who developed dementia from the entire population. </u>

a)<u> From the percent of people who had depression</u>:

  • 10% × 22% = 2.2 %

b) <u>From the number of people who did not have depression</u>:

  • 90% × 17% = 15.3%

c) <u>Total percent:</u>

  • 2.2% + 15.3% 17.5% of all people developed dementia.

<u>2. Probability that the person suffered from depression earlier in life, if a person has developed dementia:</u>

  • percent of people who developed dementia and had depression / percent of people who developed dementia = 2.2% / 17.5% = 0.126

Note, that this can be calculated using the formula for conditional probability:

  • P(A/B) = P(A∩B) / P(B)

Where:

  • A is having suffered depression
  • B is having developed dementia
  • A∩B is having both suffered depression and developed dementia

  • P(A∩B) = 22% ₓ 10% = 2.2% = 0.022

  • P(B) = 22% × 10% + 17% × 90% = 17.5% = 0.175

  • P(A/B) = P(A∩B) / P(B) = 0.022 / 0.175 = 0.126
3 0
3 years ago
Help fast pls. Need it due fast
Gelneren [198K]
3x+8=5x-1
3x-5x=-1-8
-2x=-9
x=4,5

AM=3x4,5+8=21,5
MB=5x4,5-1=21,5
AB=AM+MB
AB=21,5+21,5=43
6 0
3 years ago
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Write an expression to describe the sequence below.Then find the 10th term.<br> -19,-18,-17,-16
grigory [225]
Your answer is +1
= -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9 and so on…
8 0
3 years ago
The function f(x)=x^2 -6x+3 is transformed such that g(x)=f(x-2). Find the vertex of g(x).
Lisa [10]

Answer:

g(x) = (x-2)^2 -6(x-2) +3

g(x) = x^2 -4x +4 -6x +12 +3

g(x) = x^2 -10 x +19

g(x) = x^2 -10 x + 25 +19 -25

g(x) = (x-5)^2 -6

y= (x-h)^2 -kk

Where h,k represent the vertex and we got:

(h,k)= (5,6)

(5,6)

Step-by-step explanation:

We have this original function given :

f(x) = x^2 -6x +3

And we want to find the vertex for this new function g(x) = f(x-2) and we have:

g(x) = (x-2)^2 -6(x-2) +3

And solving the square we got:

g(x) = x^2 -4x +4 -6x +12 +3

And adding similar terms we got:

g(x) = x^2 -10 x +19

Now we can complete the square like this:

g(x) = x^2 -10 x + 25 +19 -25

g(x) = (x-5)^2 -6

The general equation is given by:

y= (x-h)^2 -kk

Where h,k represent the vertex and we got:

(h,k)= (5,6)

(5,6)

5 0
4 years ago
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