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4 years ago

What is the solution to this system of equations? -5.9x-3.7y=-2.1 5.9x+3.7y=2.1

Mathematics

2 answers:

marin [14]4 years ago

8 0

Answer:

There are infinite solutions that solve the system $y=0.57-1.59x$

Step-by-step explanation:

The solution can be expressed as $y=0.57-1.59x$ (there are infinite solutions that solve the system). This results from rearranging terms in the first or second equation.

This is because the first equation is a linear combination of the second one (this is, the first equation equals (-1) times the second equation). This means that the second equation does not add any information about x and y: it says exactly the same as the first equation about the relationship between x and y.

Then, in terms of solving the system, you have one unique expression (not repeated) that shows the relationship between y and x. This means that, any pair of (x,y) that meet the requirements expressed by $y=0.57-1.59x$ , will solve the system. Then we have infinite solutions.

Novosadov [1.4K]4 years ago

7 0

Answer:

the answer is C

Step-by-step explanation:

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mote1985 [20]

Answer:

1=1

2=4

3= <NTR=115

<RTM=45

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4= A-124

B-45

C-45

D-90

E-124

5=15

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Step-by-step explanation:

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3 years ago

F(n+1)=f(n)-8 if f(1)=100 what is f(6)

Svet_ta [14]

$f(n+1)=f(n)-8\\\\ f(2)=100-8=92\\ f(3)=92-8=84\\ f(4)=84-8=76\\ f(5)=76-8=68\\ f(6)=68-8=60$

8 0

3 years ago

Q3. A bag contains 7 red balls and 3 green balls. A ball is taken out replaced.

ycow [4]

Part (a)

There are 7 red out of 7+3 = 10 total

<h3>Answer: 7/10</h3>

==========================================================

Part (b)

We have 3 green out of 10 total

<h3>Answer: 3/10</h3>

==========================================================

Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

<h3>Answer: 9/100</h3>

==========================================================

Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

(7/10)*(7/10) = 49/100

<h3>Answer: 49/100</h3>

==========================================================

Part (e)

7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.

(7/10)*(3/10) = 21/100

<h3>Answer: 21/100</h3>

==========================================================

Part (f)

We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).

<h3>Answer: 21/100</h3>

7 0

3 years ago

What is the opposite -2/5

Yuri [45]

Answer:

it would be a positive 2/5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A ball is shot into the air using a brand new super-high-tech robotic arm to help baseball players practice catch fly balls.

stepladder [879]

Answer:

69 feet

Step-by-step explanation:

we have

$h(t)=-16t^{2}+64t+5$

where

h(t) is the height of the ball

t is the time in seconds

we know that the given equation is a vertical parabola open downward

The vertex is the maximum

the y-coordinate of the vertex represent the maximum height of the ball

Convert the quadratic equation into vertex form

The equation in vertex form is equal to

$y=(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

$h(t)=-16t^{2}+64t+5$

$h(t)-5=-16t^{2}+64t$

$h(t)-5=-16(t^{2}-4t)$

$h(t)-5-64=-16(t^{2}-4t+4)$

$h(t)-69=-16(t^{2}-4t+4)$

$h(t)-69=-16(t-2)^{2}$

$h(t)=-16(t-2)^{2}+69$

the vertex is the point (2,69)

therefore

The maximum height is 69 ft

6 0

3 years ago