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ExtremeBDS [4]
3 years ago
6

How do you solve this system of equation? 2x+4y=-4 3x + 5y =-3

Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

x = 4

y = -3

Step-by-step explanation:

We can use substitution, elimination, or graphically.

Step 1: Rearrange first equation

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Step 2: Rewrite systems of equations

x = -2 - 2y

3x + 5y = -3

Step 3: Substitution

3(-2 - 2y) + 5y = -3

-6 - 6y + 5y = -3

-6 - y = -3

-y = 3

y = -3

Step 4: Find <em>x</em> using <em>y</em>

2x + 4(-3) = -4

2x - 12 = -4

2x = 8

x = 4

Graphically:

Use a graphing calc and analyze where the 2 lines intersect.

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Answer:

\large \boxed{\math{\$24.05; < 9}}

Step-by-step explanation:

Let n = the number of prints

and C = the total cost.

At the regular price, the formula is

C = 1.45n

During the promotion, you must pay for the first nine prints: 9 × 1.45 = 13.05.

For anything over nine prints (n - 9), you must pay $13.05 plus the promotional cost of $1.10 for each print. The promotional formula is

C = 13.05 + 1.10(n - 9)  {n > 9}

1. Calculate the cost of 19 prints

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2. What number of the prints is a waste of money?

During the promotion, buying fewer than nine prints would be a waste of money, because you would not be taking advantage of the promotional savings.

7 0
3 years ago
In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science. What is the prob
qaws [65]

Answer:

56%

Step-by-step explanation:

90 ÷ 160

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8 0
3 years ago
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Marilyn is a salesperson at Open to Clothes. Each month she earns $650 plus 6% of her total monthly sales. How much did she earn
Whitepunk [10]

Answer:

Her monthly income=$1,082

Step-by-step explanation:

Step 1: Express the total monthly pay:

The total monthly pay can be expressed as follows;

A=F+(R×T)

where;

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F=fixed income per month

R=commission rate

T=total monthly sales

In our case;

F=$650 a week

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replacing;

A=650+(6% of 7,200)

A=650+(0.06×7,200)

A=650+432=1,082

A=$1,082

Her monthly income=$1,082

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3 years ago
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Alex_Xolod [135]
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3 years ago
What is the coefficient of x4 in the expansion of (3x + 1)??
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