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aalyn [17]
3 years ago
9

4. The system of equations 3x – 6y = 20 and 2x – 4y = 3 is

Mathematics
2 answers:
expeople1 [14]3 years ago
6 0
3x - 6y = 20
-6y = -3x + 20
y = 1/2x - 20/6.....slope = 1/2...y int = -20/6 = -10/3

2x - 4y = 3
-4y = -2x + 3
y = 1/2x - 3/4..slope = 1/2...y int = -3/4

same slope, different y int = parallel lines = no solution = inconsistent
REY [17]3 years ago
5 0

Answer:

The correct option is D.

Step-by-step explanation:

The given system of equations is

3x-6y=20

2x-4y=3

If a system of equations has no solution, then the system of equations is inconsistent.

If a system of equations has solutions, then the system of equations is consistent.

(a) If the system has one solution, then it is independent.

(b) If the system has infinitely many solutions, then it is dependent.

If two lines are ax_1+by_1+c_2=0\text{ and }ax_2+by_2+c_2=0 and

\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}

then the system of equations is inconsistent.

\frac{a_1}{a_2}=\frac{3}{2}

\frac{b_1}{b_2}=\frac{-6}{-4}=\frac{3}{2}

\frac{c_1}{c_2}=\frac{-20}{-3}=\frac{20}{3}

Since \frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}, therefore the given system of equation is inconsistent.

Hence, the correct option is D.

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joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour
SVEN [57.7K]

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

8 0
2 years ago
Evaluate y = 5x + 1 when x= 2
mojhsa [17]

Answer:

The answer is 11, hope i helped!

8 0
2 years ago
Use the law of syllogism to determine whether a valid conclusion can be reached from the set of statements. if you are 18 years
kirill [66]
I believe it would be c
6 0
2 years ago
Drew invests $4000 at 6% for 5 years. How much interest does Drew earn? Remember the formula for simple interest is I=prt.
expeople1 [14]

Answer:

I = $1,200.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 4000 × 0.06 × 5 = 1200

I = $1,200.00

6 0
3 years ago
7>-4; subtract 7 from both sides
motikmotik

Answer:

The end result would be 0>-11

Step-by-step explanation:

Subtract 7 from each number and then just write it again.

7 - 7 = 0

-4 - 7 = -11

0>-11

5 0
3 years ago
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