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3 years ago

Y = -3x+4 and y= 1/2x-3

Mathematics

1 answer:

Papessa [141]3 years ago

8 0

Answer:

{x = 2 , y = -2

Step-by-step explanation:

Solve the following system:

{y = 4 - 3 x | (equation 1)

{y = x/2 - 3 | (equation 2)

Express the system in standard form:

{3 x + y = 4 | (equation 1)

{-x/2 + y = -3 | (equation 2)

Add 1/6 × (equation 1) to equation 2:

{3 x + y = 4 | (equation 1)

{0 x+(7 y)/6 = (-7)/3 | (equation 2)

Multiply equation 2 by 6/7:

{3 x + y = 4 | (equation 1)

{0 x+y = -2 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = 6 | (equation 1)

{0 x+y = -2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 2 | (equation 1)

{0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = 2 , y = -2

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Estimate the product by rounding 9 times 54

crimeas [40]

You estimate the product by rounding to the nearest 10:

9 becomes 10 and 54 becomes 50

9 x 50 = 450

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3 years ago

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3

Nat2105 [25]

Question:

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

Answer:

The actual length of Hector room is 14 foot

Solution:

Given that, On the floor plan, his bedroom is 3 inches wide and $3\frac{1}{2}$ inches long

The scale of floor plan is given as:

$\frac{1}{4} \text{ inch} = 1 \text{ foot }$

Therefore,

$1 \text{ inch } = 4 \text{ foot}$

To find: Actual length of floor

From given question,

$length = 3\frac{1}{2} \text{ inches}$

Converting the mixed fraction to improper fraction,

$length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }$

Since, 1 inch = 4 foot

$\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }$

Thus actual length of Hector room is 14 foot

6 0

3 years ago

PLEASE HELP ME ASAP!! I REALLY NEED HELP :((

solong [7]

Hello!

Question 1
The angles in a triangle add up to 180°

Subtract the known angles from 180 to get x

180 - 105 - 40 = 35

The answer is 35
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Question 2
The angles in a triangle add up to 180°

The box means that angles is 90°

Subtract the know angles from 180 to get x

180 - 65 - 90 = 25

The answer is 25
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Hope this helps!

8 0

3 years ago

Victoria is 4 years older than her neighbor . The sum of their ages is no more than 14 years .

Blizzard [7]

(x+4)+v<=14 is the equation
the neighboor's age is at most, 5 years
and victoria is 9 at most

3 0

3 years ago

Read 2 more answers

QUESTION : A family of four went out to dinner. Their bill came to $156.98 and they want to leave a 15% tip. How much the tip wi

Rama09 [41]

Answer:

tip = $23.55

Step-by-step explanation:

156.98 x 0.15 = 23.55

4 0

3 years ago