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3 years ago

Which is the graph of the system of equations? x + 2y = 2 4x - y = 4

1 answer:

4 0

Solve for x for x: x+2y=2
x+2y +-2y=2+-2y (add -2y on both sides.)
x=-2y+2
Substitute : -2y+2 for x in
4x-y=4:
4(-2y+2)-y=4
-9y+8=4 Simplify both sides of the equation.
-9y+8+-8=4+-8 Add -8 to both sides.
-9y=-4
-9/-9=-4-9 Divide both sides by -9
y=4/9
Substitute 4/9 for y in
x=-2y+2
x=-2(4/9)+2
x=10/9
y=4/9,x=10/9

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What is the range of the following list of numbers:

galina1969 [7]

Answer:

it would have a range of 6

Step-by-step explanation:

im guessing that u ment 4 and ten not 104 so ya

3 0

3 years ago

Department stores customer parking lot has four rows with an equal number of parking spots in each row. The loud also has 15 par

Katen [24]

Answer:

4c + 15

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 parking spots for store employees. If c cars can be parked in each of the 4 main rows of the parking lot, what is the expression for the maximum number of cars that can be parked in the parking lot?

15c − 4

c(15 − 4)

4c + 15

4(c + 15)

✓We were told that the customer stores parking has Total number of 4 rows,

✓ for " c" cars to be parked in the 4 main rows i.e in each of them, we can calculate the overall numbers of car parked in the rolls as ( 4 × c)= 4c

✓ we were told that there are 15 parking spots available to employees in the store

✓ maximum number of cars that can fit into the parking lot will be ( 15 + 4c)

= 4c + 15

3 0

2 years ago

WILL GIVE BRAINLIEST

Rufina [12.5K]

Answer:

Step-by-step explanation:

rate of change of graph,df(x)/dx

=(120-0)/(3-1)=60

8 0

3 years ago

Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos run

Amanda [17]

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

$\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}$

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

7 0

2 years ago

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges flat fee of $21 plus $1

Ostrovityanka [42]

Answer:3 hours total

Step-by-step explanation:

15+(3*3)=21+(1*3) which equals out to 24$

6 0

3 years ago

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