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Finger [1]
3 years ago
7

Solve the system below using substitution write your final answer as a coordinate point

Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0

(3, -2)

Step-by-step explanation:

y = -2x + 4

-x + 3y = -9

-x + 3 (-2x + 4) = -9

-x + -6x + 12 = -9

-7x = - 9 – 12

-7x = - 21

X = 3

We substitute x with 3 to evaluate y;

-3 + 3y = -9

3y = -6

y = -2

Elimination Method;

y = -2x + 4

-x + 3y = -9

We arrange the equations for substitution;

2x + y = 4

-x + 3y = -9

We multiply the first equation with 3 so we can substract one variable to zero;

3 (2x + y = 4)

= 6x + 3y = 12

Then we subtract the two;

6x + 3y = 12

-x + 3y = -9

7x = 21

x = 3

We evaluate y by substitution x with 3 in one of the equation;

-x + 3y = -9

-3 + 3y = -9

3y = -6

y = -2

The final answer expressed as a coordinate point is;

(3, -2)

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You work 40 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e
Kay [80]

Answer:

The best possible answer is A) $17.00 and hour with a $1,000 bonus.

Step-by-step explanation:

You can start by narrowing down the answers to the ones with the bonuses. The others are obviously less as it is the same pay without added bonus. Next we can determine the amount in answer A by multiplying the amount per hour by the number of hours in a week and by the number of weeks in a year.

$17.00 * 40 * 52 = $35,360

And then you add the $1,000 bonus.

Answer A Amount = $36,360

Now to find answer D amount, we multiply the total by the 10% bonus to find the bonus amount.

$32,000 * 10% = $3,200

Now we add that to the previous salary to get the overall D answer amount.

$32,000 + $3,200 = $35,200

As you can see, the amount in answer A is the larger amount.

8 0
2 years ago
Rebecca thinks that 7 cups of flour will make 3.5 batches of cookies. Prove whether Rebecca's ratio would align with the situati
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There is no image, but based off of actual recipes i would say probably C
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3 years ago
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Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 40°, and the kite string forms a stra
emmasim [6.3K]

The distance between the ground and the kite to the nearest foot is 64 ft.

<h3>What is a right angle triangle?</h3>

A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms a right angle triangle.

Hence,

The length of the kite string is the hypotenuse side of the triangle formed.

The height between the ground and the kite is the opposite side of the triangle formed.

Therefore, using trigonometric ratio,

sin 40 = opposite / hypotenuse

sin 40 = h / 100

cross multiply

h = 100 sin 40

h = 100 × 0.64278760968

h = 64.2787609687

h = 64 ft

Therefore, the distance between the ground and the kite to the nearest foot is 64 ft.

learn more on right triangle here: brainly.com/question/27482803

#SPJ1

7 0
2 years ago
2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.
vova2212 [387]

Answer:

a_n = 2.2 + 0.6 n

a_50 = 32.2

Step-by-step explanation:

What's the common difference of this series?

a_1 = 2.8

a_2 = 3.4

Common difference = a_2 - a_1 = 3.4 - 2.8 = 0.6.

Expression for the nth term:

a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n

n = 50 for the fiftieth term. Therefore

a_{50} = 2.2 + 0.6 \times 50 = 32.2.

6 0
3 years ago
Need help with this....
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There is no outliers though 102 and 9 are the furthest numbers from the rest, but not a significant outlier
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