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hodyreva [135]
3 years ago
8

PLEASE HELP IM TIMES AND EXPLAIN STEP BY STEP , so using substitution method solve the system of equations , y = 2x + 8 and y =

4x - 2 , whoever answers step by step gets brainliest
Mathematics
2 answers:
inessss [21]3 years ago
7 0

Answer:

y= 2x + 8 , y = 4x - 2

2x + 8 = 4x - 2

8 = 2x - 2

10 = 2x

5 = x

Step-by-step explanation:

MatroZZZ [7]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

y = 2x + 8

substitute the y in the other expression with this expression (you can do it vise versa too but i chose this because it was first)

2x + 8 = 4x - 2

goal is to isolate the variable

add 2 to both sides (this cancels out the -2 on the right side)

2x + 8 + 2 = 4x - 2 + 2

2x + 10 = 4x + 0

2x + 10 = 4x

subtract -2x from both sides (cancels out the 2x on the left side)

2x - 2x + 10 = 4x - 2x

0x + 10 = 2x

10 = 2x

divide both sides by 2 (cancels out the 2 on the right side)

10 ÷ 2 = 2x ÷ 2

5 = 1x

5 = x

variable is isolated and tells us that x = 5

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The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19
kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

y = A \cdot r^{t}

Where:

A - Initial population.

r - Increase rate.

t - Time

y - Current population.

The initial population and increase rate are, respectively:

1200 = A \cdot r^{0}

A = 1200

1700 = 1200 \cdot r^{4}

r^{4} = \frac{1700}{1200}

r^{4} = \frac{17}{12}

r = \sqrt[4]{\frac{17}{12} }

r \approx 1.091

The exponential model that predicts the population of rabbits is:

y = 1200\cdot 1.091^{t}

Lastly, the expected population for the year 1996 is:

y = 1200\cdot 1.091^{6}

y\approx 2023.624\,rabbits

5 0
3 years ago
Please help me asap thank you!
vlabodo [156]

Answer:

25a-20

Step-by-step explanation:

15a+10a-20=

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8 0
3 years ago
Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
TEA [102]

Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

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Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

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68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

6 0
3 years ago
Find the side of a square whose diagonal is of the given measure.<br> Given = 15.2 cm
Neko [114]

Answer:

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Step-by-step explanation:

First, a square's diagonal is basically the hypotenuse of a 45-45-90 triangle. a 45-45-90 triangle has a really special relationship, where the side length is x, and the diagonal is x \sqrt{2}. So, the side length is 15.

8 0
3 years ago
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azamat
90 round to the nearest hundredth
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