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larisa86 [58]
3 years ago
5

Given the system of equations presented here:

Mathematics
2 answers:
Bumek [7]3 years ago
8 0

ANSWER

The correct answer is option B

EXPLANATION


The equations are

3x+5y=29---(1)


and


x+4y=16---(2)


When we multiply the second equation by -3, we obtain;


-3x-12y=-48---(3)


When we combine this new equation with equation (1).


-7y=-19


We can see that x has been eliminated from the equation.


We can then, solve for  y and then substitute the result in to any of the equations to find x.


Hence the correct answer is option B



trapecia [35]3 years ago
7 0

<u>Answer:</u>

B) Multiply the second equation by −3 to get −3x − 12y = −48

<u>Step-by-step explanation:</u>

We are given two equations:

3x+5y= 29 --- (i)

x+4y = 16 --- (ii)

If we multiply the second equation by -3, we get:

-3(x+4y) = 16

-3x-12y=-48 --- (iii)

Combining equation (i) and (iii) to get:

3x+5y-3x-12y=29-48

3x and -3x cancel each other so x is eliminated and we are left with:

-7y= -19

Therefore, the correct answer option is B) Multiply the second equation by −3 to get −3x − 12y = −48.

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Answer:

none

Step-by-step explanation:

8-4=4

if every 2 years, 4 gallons disappear

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7 0
2 years ago
Number 3
sdas [7]

Answer: Choice A) 1990 to 1991

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

Explanation:

Let's go through the answer choices one by one.

For choice A, we go from the year 1990 to 1991 which is a change of 1 year. The wage goes from 3.80 to 4.25 over this timespan, which is an increase of 4.25-3.80 = 0.45 dollars. Divide the change in wage (0.45 dollars) over the change in change in time (1 year) to get 0.45/1 = 0.45; this indicates that the wage increased by 0.45 dollars per year over the timespan 1990 to 1991

Now onto choice B. We have a wage increase of 3.80-3.35 = 0.45 over a course of 9 years (since 1990-1981 = 9) so 0.45/9 = 0.05 is the rate of wage growth, meaning that the wage bumps up by a nickel each year. So far choice A is the winner.

Moving onto choice C, we have a wage increase of 0.25 dollars (3.35-3.10 = 0.25) over an 1 year period (1981-1980 = 1) so the rate of change for this slice of time is 0.25/1 = 0.25 dollars per year. Choice A is still the winner.

Finally, for choice D, this is over a year as well (1980-1979 = 1) and the wage increases by 0.20 dollars (3.10-2.90 = 0.20) leading to a rate of change to be 0.20/1 = 0.20

So choice A has the largest rate of change which is the same as saying it has the largest rate of wage increase. This shows why choice A is the answer.

3 0
3 years ago
Write a polynomial function that has the zeros -3, 1, -1 and has a leading coefficient of 1.
maks197457 [2]

Answer:

x3+3x2-x-3

Step-by-step explanation:

4 0
2 years ago
Write an equation that is parallel to the line y = -5x + 2 and passes through the point (0, 3).
nikklg [1K]
---------------------------------------
Slope :
---------------------------------------
y = -5x + 2 
Slope = -5

---------------------------------------
y - intercept :
---------------------------------------
At (0. 3), y-intercept = 3

---------------------------------------
Equation :
---------------------------------------
y = mx + b
y = -5x + 3

---------------------------------------
Answer : y = -5 + 3
---------------------------------------

7 0
3 years ago
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andrezito [222]

Answer:

the answer is 3 cm

Step-by-step explanation:

8*5*3=120cm

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3 0
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