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Scilla [17]
3 years ago
15

Consider the equation 1/3x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original eq

uation by graphing the system of linear equations.
Mathematics
1 answer:
kiruha [24]3 years ago
6 0
System:

y =  \frac{1}{3}x - 2
y =  x+2

Solution: (-6,-4) for the graphed system( the point of intersection)
Note: when substituting -6 in for x in the original equation we see that it satisfies the equation. So -6 is the solution of the original equation.
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You might be interested in
Jim deposits 6000 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the f
Alex73 [517]

Answer:

$600 interest will be paid in the first 5 years

Step-by-step explanation:

Simple interest is calculated only on the principal or initial amount deposited. Jim deposits 6000 into an account that pays simple interest at a rate of 2% per year. The formula for simple interest is expressed as

I = PRT/100

Where

I represents interest after the given time.

R represents the interest loan on the principal.

T represent number of time in years.

P represents principal or initial amount deposited.

From the information given,

R = 2

P = 6000

T = 5

I = (6000 × 2 × 5)/100 = $600

6 0
3 years ago
A rectangular flower garden is 4.25 feet wide and 8.6 feet long what is the area of the garden in square feet
Len [333]

Answer:

36.55

Step-by-step explanation:

8.6×4.25=36.55

3 0
3 years ago
With a certain tail wind a jet aircraft arrives at its destination, 1,890 miles away, in 3 hours. Flying against the same wind,
Gelneren [198K]
<span>Find the wind speed and the plane's airspeed.
:
Let s = speed of the plane in still air
Let w = speed of the wind
then
(s-w) = plane speed against the wind
and
(s+w) = plane speed with the wind
:
Change 3 3/8 hrs to 3.375 hrs
:
The trips there and back are equal distance, (1890 mi) write two distance equations
dist = time * speed
:
3.375(s-w) = 1890
3.0(s + w) = 1890

:
It is convenient that we can simplify both these equations:
divide the 1st by 3.375
divide the 2nd by 3
resulting in two simple equations that can be used for elimination of w
s - w = 560
s + w = 630
----------------adding eliminates w, find s
2s = 1190
s = 
s = 595 mph is the plane speed in still air
Find w
595 + w = 630
w = 630 - 595
w = 35 mph is the wind spee</span>
3 0
3 years ago
8 + 3 + 2a = -1 + 3a + 4
otez555 [7]

Answer:

a = 8

Step-by-step explanation:

8 + 3 + 1 - 4 = 3a - 2a

8 = a

a = 8

I hope this helps a little bit.

3 0
2 years ago
Read 2 more answers
Hector is flying a kite. He has let out 86 feet
Kaylis [27]

Answer:

Hector's kite is 61.84 feet from the ground.

Step-by-step explanation:

The angle of elevation of the kite is 42°15’30” when converted to decimals, it is 42.258333^{0} ≅ 42.26^{0}

Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,

Sin θ = \frac{opposite}{hypotenus}

Sin 42.26^{0} = \frac{x}{86}

⇒ x = 86 x Sin 42.26^{0}

      = 86 x 0.6725

     = 57.835

x ≅ 57.84 feet

The height of Hector's kite from the ground = x + 4

                                    = 57.84 + 4

                                   = 61.84 feet

7 0
3 years ago
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