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Alex17521 [72]
3 years ago
12

Eliminate the y in the following system of equations. What is the result when you add the two equations?

Mathematics
2 answers:
inysia [295]3 years ago
5 0

Answer:

C

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

SOVA2 [1]3 years ago
4 0
C is the answer. x=5
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3) The sum of three consecutive numbers is 72. What are the smallest of these numbers?
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Answer:

23

Step-by-step explanation:

23 + 24 + 25 = 72

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3 years ago
What is the vertical asymptote of the function f(x) = 3 log(x + 3) is x?
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Hello,

\lim_{x \to -3} 3 log(x+3) =-\infty
x=-3 is the vertical asymptote.
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4 years ago
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Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both exe
leonid [27]

The event that either M1 or M2 fails has probability

P(M_1\text{ fails or }M_2\text{ fails})=P(M_1\text{ fails})+P(M_2\text{ fails})-P(M_1\text{ and }M_2\text{ both fail})

by the addition rule. Failure events are independent, so

P(M_1\text{ and }M_2\text{ both fail})=P(M_1\text{ fails})P(M_2\text{ fails})

so that

P(M_1\text{ fails or }M_2\text{ fails})=p_1+p_2-p_1p_2

Denote this probability by p. Then X follows a geometric distribution with this parameter p and has density

P(X=x)=\begin{cases}(1-p)^{x-1}p&\text{for }x\ge1\\0&\text{otherwise}\end{cases}

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7 0
4 years ago
What type of graph is best to use to compare two sets of data? A. line graph B. double line graph C. bar graph D. double bar gra
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6 0
3 years ago
Part A
Nitella [24]

Answer:

P = 300

r = 0.15

n = 12

A(t) = 300(1.0125)^12t

Step-by-step explanation:

Given that:

Total credit taken for book purchase = $300

Annual Interest rate = 15% compounded monthly

Time or period = 4 years

P(1 + r/n)^nt

P in the expression above means the principal amount which is the total credit spent on book purchase = $300

r = annual interest rate on Emma's account = 15% = 15/100 = 0.15

n = number of compounding times per period ; loan which compounds monthly = number of months in a year = 12

Hence,

P = $300 ; r = 0.15 ; n = 12

Substituting into the equation :

P(1 + r/n)^nt

Simplified expression written in terms of t:

Final amount, A after t years

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A(t) = 300(1.0125)^12t

3 0
3 years ago
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