3 years ago

The work of a student to solve a set of equations is shown:

Mathematics

1 answer:

butalik [34]3 years ago

8 0

Step 2! The reason for that is the student didnt multiplied (15-2z) with -2. But she should have!

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Evaluate −2(2/5)^10x for x=1/5.

kenny6666 [7]

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Write an equation for g(x), a translation of f(x) 4 units to the right and 3 units down.

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2 years ago

The sum of three integers is 12

Liula [17]

The three integers are 5,17 and -10

Step-by-step explanation:

Let x, y and z be three integers then

$x+y+z=12 \ \ \Eqn\ 1$

'The sum of the first and second integers exceeds the third by 32'

$x+y=z+32\ \ \ \ Eqn\ 2$

The third integer is 15 less than the first.

$z=x-15\ \ \ \ Eqn\ 3$

From Eqn 2:

$x+y=z + 32\\x+y-z=32$

Subtracting Eqn 1 from eqn 2

$x+y-z-(x+y+z)=32-12\\x+y-z-x-y-z=20\\-2z=20$

Dividing both sides by -2

$\frac{-2z}{-2}=\frac{20}{-2}\\z=-10$

Putting z=-10 in Eqn 3

$z=x-15\\-10=x-15\\x=15-10\\x=5$

Putting x=5 and z=-10 in Eqn 1

$x+y+z=12\\5+y-10=12\\y-5=12\\y=12+5\\y=17\\$

Hence,

The three integers are 5,17 and -10

Keywords: Linear Equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago

Read 2 more answers

Need the answer to the question : What annual rate of interest would you have to earn on an investment of $4500 to ensure receiv

rewona [7]

To find the annual rate of interest, here's what we need to do:

$\frac{amount of investment}{interest recieved} \times 100$

In this case:

333/4500 x 100%

=37/500 x 100%

=7.4%

Therefore the answer is 7.4%.

Hope it helps!

6 0

2 years ago