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2 years ago

Solve y=-3x+5 5x-4y=-3

1 answer:

6 0

Y = -3x + 5

   5x - 4(-3x + 5) = -3
5x + 4(3x) - 4(5) = -3
   5x + 12x - 20 = -3
         17x - 20 = -3
   + 20 + 20
   17x = 17
      17    17
   x = 1
y = -3x + 5
y = -3(1) + 5
y = -3 + 5
y = 2
(x, y) = (1, 2)

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HELP

Aleks [24]

Answer:

c) 6

Step-by-step explanation:

This is a straight-forward application of the Law of Cosines:

... a² = b² + c² -2bc·cos(A)

... a² = 8² +11² -2·8·11·cos(32.2°) ≈ 64 +121 -176·0.8462

... a² ≈ 36.07000

... a ≈ 6.00583

The best choice is c) 6.

3 0

2 years ago

In the diagram below, f(x)=x^3+2x^2 is graphed. Also graphed is g(x), the result of a translation of f(x). Determine an equation

Art [367]

Answer:

g(x)=x^3+2x^2 - 4

Step-by-step explanation:

See attached worksheet

6 0

1 year ago

Use the substitution methods to solve the system of equations. Choose the correct ordered pair. y=7x+8 y=x+20

krek1111 [17]

Answer:

Step-by-step explanation:

Solution by substitution method

y=7x+8

∴y-7x=8

and y=x+20

∴y-x=20

Suppose,

-7x+y=8→(1)

and -x+y=20→(2)

Taking equation (1), we have

-7x+y=8

⇒y=7x+8→(3)

Putting y=7x+8 in equation (2), we get

-x + 7x + 8 = 20

6x = 20-8

6x = 12

x= 12 / 6

x = 2

substitute for x in equation (3)

y = 7(x) + 8

y = 7(2) + 8

y = 22

4 0

2 years ago

Ninety-one percent of products come off the line within product specifications. Your quality control department selects 15 produ

Allisa [31]

Answer:

Probability of stopping the machine when $X < 9$ is 0.0002

Probability of stopping the machine when $X < 10$ is 0.0013

Probability of stopping the machine when $X < 11$ is 0.0082

Probability of stopping the machine when $X < 12$ is 0.0399

Step-by-step explanation:

There is a random binomial variable $X$ that represents the number of units come off the line within product specifications in a review of $n$ Bernoulli-type trials with probability of success $0.91$ . Therefore, the model is ${15 \choose x} (0.91) ^ {x} (0.09) ^ {(15-x)}$ . So: