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SIZIF [17.4K]
3 years ago
11

Solve the system using the substitution method 4x+6y=8 3x+y=9

Mathematics
1 answer:
inessss [21]3 years ago
4 0
4x+6y=8
3x+y=9

y = 9 - 3x

4x + 6(9-3x) = 8
4x + 54 - 18x = 8
14x = 46
x = 23/7

y = 9 - 3(23/7)
y = 9 - 69/7
y = - 6/7
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Which represents the solution of the graphed system of equations, y=x^2-2x and y=-2x-1
elena55 [62]

Answer:

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

Step-by-step explanation:

The solution to the system of equations is at the point where they intercept each other.

y1 = y2

For the given equation;

y=x^2-2x and y=-2x-1

To get the where they intercept, we will equal both equations;

y=x^2-2x = -2x-1

x^2 - 2x = -2x - 1

x^2 - 2x + 2x + 1 =0

x^2 +1 = 0

x^2 = -1

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

6 0
3 years ago
A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, o
Naddika [18.5K]

Answer: E. 1200

Step-by-step explanation:

Given : A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts.

i.e. No. of choices for different salads= 8  -----(1)

No. of choices for different main courses = 5  ----(2)

No. of choices for different desserts = 6

When we choose two different desserts then we use permutation(repeatition not allowed) :

^6P_2=\dfrac{6!}{(6-2)!}=\dfrac{6\times5\times4!}{4!}=6\times5=30----(3)

[∵ No. of ways to choose r things out of n =^nP_r=\dfrac{n!}{(n-r)!} ]

If customers choose one salad, one main course and two different desserts for their meal , then By Fundamental principle of counting (Multiply (1) , (2) and (3)), the number of  different meals are possible :-

8\times5\times30\\\\=1200

Hence, the correct answer is E. 1200 .

8 0
3 years ago
during a hot summer week, the water level in Wei's pool decreased by 1.9 centimeters. Wei added water to the pool, increasing th
BARSIC [14]
In total, the water level in Wei's pool increased by four centimeters. first, you would take negative one and nine-tenths, then you would add the three and one-half increase. This would give you one and six-tenths. You would then also add the two and four-tenths increase, leaving you with four.
7 0
3 years ago
What is the decomposition of 43.586
Fiesta28 [93]
43.586- anything 5 and more rounds up, so the 6 rounds the 8 up to 9, the 9 rounds the 5 up to a 6, so your answer wound be 43.6 because 43.5(tenths)8(hundredths)6(thousandths), i hope this helps 

Leave a thanks :D
3 0
3 years ago
Marta drove 3/4 mile to the grocery store and then another 1/2 mile to her friend's house. If the trip home is 3/4 the length of
kvasek [131]

Answer:

Her speed is 0.2 miles per minute (.2miles/min).

5 0
3 years ago
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