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3 years ago

4x - 2y = -20 7x + 2y = -2

Mathematics

1 answer:

Brut [27]3 years ago

8 0

Answer:

(-2, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

4x - 2y = -20

7x + 2y = -2

Step 2: Rewrite systems

4x - 2y = -20

Add 2y to both sides: 4x = 2y - 20
Divide 4 on both sides: x = 1/2y - 5

Step 3: Redefine systems

x = 1/2y - 5

7x + 2y = -2

Step 4: Solve for y

Substitution

Substitute in x: 7(1/2y - 5) + 2y = =-2
Distribute 7: 7/2y - 35 + 2y = -2
Combine like terms: 11/2y - 35 = -2
Add 35 to both sides: 11/2y = 33
Isolate y: y = 6

Step 5: Solve for x

Define original equation: 7x + 2y = -2
Substitute in y: 7x + 2(6) = -2
Multiply: 7x + 12 = -2
Subtract 12 on both sides: 7x = -14
Divide 7 on both sides: x = -2

Step 6: Graph systems

Check the system.

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During halftime of a football game a slingshot launches T-shirts at the crowd a T-shirt is launched from a height of 6 feet with

lesantik [10]

Answer:

2.25 seconds

87 feet

[6, 87]

Step-by-step explanation:

The height of a projectile is:

h(t) = -16t² + vt + s

where v is the initial vertical velocity and s is the initial height.

Here, v = 72 and s = 6.

h(t) = -16t² + 72t + 6

This is a downwards parabola. The maximum is at the vertex.

t = -b / (2a)

t = -72 / (2×-16)

t = 2.25

h(2.25) = 87

It takes 2.25 seconds to reach the maximum height of 87 feet.

The range is from the lowest height (6 feet) to the maximum height (87 feet). In interval notation:

[6, 87]

5 0

4 years ago

I need help with this

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

-2x + 7= 3x -8

-2x + 15=3x

+2x

15=5x

divide

x=3

put 3 in one of the equations

y= 3(3) - 8

y=9-8 = y=1

answer is c

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5 0

3 years ago

PLEASE HELP THIS IS TIMED WILL GIVE BRAINLIEST

Elodia [21]

Answer:Ok, we have:

d(t) = 3*t^2 + 5*t - 2.

The first interval is:

(2, 3)

and remember that, for an interval (a,b), the difference quotient is:

D = (f(b) - f(a))/(b -a)

Then in this first interval we have:

So the average rate of change in (2,3) is 20.

now, in (2, 2.5) we have:

So here the rate of change is 9.25

And in the interval (2, 2.1) we have:

So in this interval the rate of change is 1.73

Step-by-step explanation: hope this helps luvv

8 0

3 years ago

Read 2 more answers

Help me with this and give the correct answer and get 25 points

love history [14]

Answer:

x =6.0

The base is 6x = 35.8

The side is 3x = 17.9

Step-by-step explanation:

We can use the pythagorean theorem

a^2 + b^2 = c^2

(6x)^2 +(3x)^2 = 40^2

36x^2 + 9x^2 = 1600

Combine like terms

45x^2 = 1600

Divide each side by 45

45x^2 /45 =1600/45

x^2 =35.555555555

Take the square root of each side

sqrt(x^2) = sqrt(35.555555555)

x =5.96284794 = 6.0

The base is 6x = 6*5.9628479 =35.77708 = 35.8

The side is 3x = 3*5.9628479 =17.88854382= 17.9

7 0

3 years ago

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An arts academy requires there to be 5 teachers for every 95 students and 4 tutors for every 40 students how many students does

Whitepunk [10]

Answer:

19 students per teacher and 10 students per tutor

Step-by-step explanation:

To find the amount of students per teacher and per tutor you have to divide

95 students /5 teachers

19 students per teacher

40 students /4 tutors

10 studetns pet tutor

5 0

3 years ago