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Dmitriy789 [7]
3 years ago
9

Use either substitution or elimination to solve the following system of equations, find the solution. Show all of your work.

Mathematics
1 answer:
stiv31 [10]3 years ago
7 0
Elimination:

-5 (7x+4y=-5) -35x + -20y = 25
4 (-2x+5y=26) -8x + 20y = 104

Y's cancel out

-43x = 129 Divide each side by -43

X = -3

7(-3) + 4y = -5
-21 + 4y = -5 Add 21 to each side
4y = 16 Divide each side by 4
y = 4
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What is 4 over 25 as a decimal
kotykmax [81]
The answer is:
4/25 is the same as saying 16/100 (you do it the easy way because its obvious). Thus, you have 16 over 100. That's 16 one-hundredths. .16 is your answer. 

<span>Or you simply divide the denominator into the numerator (the bottom into the top) like this: 4 divided by 25, which will give you the same answer: .16
</span>Hope this helpes!   :3
5 0
3 years ago
The equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?
Y_Kistochka [10]

Answer:

Value of a is 2      

Step-by-step explanation:

Given the equation of the quadratic function represented by the graph is y=a(x-3)^2-1. we have to find the value of a.

As seen in the figure, parabola cuts the graph at point (2,1) implies point (2,1) is one of the solution of the given quadratic equation i.e of given parabola.

∴  Point (2,1) satisfies the given equation.

Hence, we can find the value of a by putting the value of x and y, we get

1=a(2-3)^2-1

⇒ 2=a

Hence, the value of a is 2

5 0
3 years ago
To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for th
worty [1.4K]

Answer:

(a) Average number expected = 13.07 people

(b) Average number of persons = 14 persons

(c) Average amount of time = 0.9333 hours

(d) Time taken = 1 hour

Step-by-step explanation:

We are informed that the arrivals have a Poisson distribution from an infinite population. On average, 14 persons per hour request a test. Hence,

Arrival rate = λ = 14

Each blood pressure measurement takes 4 minutes. In 1 hour, 60 / 4 = 15 persons are served. Hence,

Service rate = μ = 15

(a) Average number in line = (λ^2) / μ(μ - λ)

                                             = (14^2) / 15(15 - 14)

                                             = 13.07

(b) Average number in system = λ / (μ - λ)

                                                   = 14 / (15 - 14)

                                                   = 14

(c) Average waiting time = Average number in line / λ

                                         = 13.07 / 14

                                         = 0.9333

(d) Average total time = Average number in system / λ

                                     = 14 / 14

                                     = 1

6 0
3 years ago
A statement we accept without proof is called:
Snowcat [4.5K]

The correct answer is C. A statement we accept without proof is called a postulate. It is also known as an axiom. These are rules which are accepted to be true without any evidence that will prove these. For instance, the postulates in the kinetic molecular theory.

8 0
3 years ago
The number of tourists visiting a city doubles every month during the two-month period beginning in Jan, 1st and ending
GrogVix [38]

Answer:

2x

Step-by-step explanation:

4 0
3 years ago
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