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Tom [10]
3 years ago
10

4x - 3y = 12 without graph​

Mathematics
1 answer:
Maru [420]3 years ago
3 0

Answer:

Make it an y=mx+b equation. -3y=-4x+12

Divide everything by -3

Answer is y=4/3x-4

Step-by-step explanation:

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Determine the utilization and the efficiency for each situations:A. A loan processing operation that processes an average of 7 l
Vera_Pavlovna [14]

Answer:

A) Utilization = 70%

Efficiency = 87.5%

B) Utilization = 66.67%

Efficiency = 80%

Step-by-step explanation:

Determine the utilization and the efficiency for each situations:

A. A loan processing operation that processes an average of 7 loans per day. The operation has a design capacity of 10 loans per day and an effective capacity of 8 loans per day.

Formula for Utilization = Actual Output /

Design Capacity × 100

Actual output = 7 loans per day

Design capacity = 10 loans per day

Utilization = 7/10 × 100

= 70%

Efficiency = Actual output / Effective capacity × 100

Actual output = 7 loans per day

Effective capacity = 8 loans per day

Efficiency = 7/8 × 100

= 87.5%

B. A furnace repair team that services and average of four furnaces a day if the design capacity is six furnaces a day and the effective capacity is five furnaces a day.

Formula for Utilization = Actual Output /

Design Capacity × 100

Actual output = four furnaces a day

Design capacity = six furnaces a day

Utilization = 4/6 × 100

= 66.67%

Efficiency = Actual output / Effective capacity × 100

Actual output = four furnaces a day

Effective capacity = five furnaces a day

Efficiency = 4/5 × 100

= 80%

6 0
3 years ago
How many square feet of outdoor carpet will we need for this hole ?
mezya [45]
To start solving, separate this shape into 2 separate shapes. The dimensions of the smaller shape are 2 by 3 feet. The dimensions of the larger one are 3 by 11 feet. To find the area of an object, multiply its dimensions. Therefore, you multiply 2 by 3 and 3 by 11. You will get the products 6 and 33. Since we are still working within the same shape, however, you add the products together. You get 39. Therefore, 39 ft. squared is the answer.
6 0
3 years ago
Read 2 more answers
Factor complete −2x2 + 10x.
mezya [45]

The factors of the quadratic equation is (x + 1) and (x - 6)

Given,

The quadratic equation; -2x² + 10x + 12

We have to find the factors of this equation using quadratic formula;-

Quadratic formula;- \frac{-b(+-)\sqrt{b^{2} -4ac} }{2a}

Here,

a = -2, b = 10 and c = 12

Now,

\frac{-b(+-)\sqrt{b^{2} -4ac} }{2a} = \frac{-10(+-)\sqrt{10^{2} -4 . -2. 12} }{2.-2} = \frac{-10(+-)\sqrt{100 +96} }{-4} = (-10±14) ÷ -4

Solve for,

- 10 + 14 / -4 = -4/4 = -1

That is, (x + 1)

Solve for,

- 10 - 14 / -4 = -24/-4 = 6

That is,  (x - 6)

Therefore, the factors for the given quadratic equation is (x + 1) and (x - 6)

Learn more about quadratic formula here;

brainly.com/question/9300679

#SPJ1

6 0
1 year ago
Jennifer bought 3 yards of fabric and a spool of thread for $28.10.
Jet001 [13]

The fabric costs $8.95 per yard
6 0
3 years ago
At the zoo the polar bears are fed 7/9 bucket of fish a day. The penguins are fed 4/7 that amount. What fraction are the penguin
OlgaM077 [116]

Answer: They are fed 4/9 of what the polar bears are fed.


Step-by-step explanation:

7/9*4/7=

1/9*4/1=4/9

The 7's get cancelled out.

                                       


4 0
3 years ago
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