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2 years ago

How many points of intersection do the following lines have y=3x-1 and 2y-6x=-2

Mathematics

1 answer:

Ugo [173]2 years ago

4 0

Infinity interaction points, the same line.
2y=6x-2 /2
y = 3x-1

Same line,

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Divide. 83 ÷ 9 Enter your answer by filling in the boxes. __R __

forsale [732]

9R2

83/9 = 9.2222222

9*9 = 81

83-81 = 2

5 0

2 years ago

Read 2 more answers

What is the intermediate step in the form (x+a)^2=b(x+a)

Step2247 [10]

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b

7 0

3 years ago

Water is leaking from a jug at a constant rate. After leaking for 2 hours, the jug contains 48 fluid ounces of water. After leak

devlian [24]

Answer:

2 fluid ounce/hour

Step-by-step explanation:

2 hours to 5 hours ; 3 hours apart

leaks: 48 -42 = 6 fluid ounce

rate of leak = 6/3 = 2 fluid ounce/hour

8 0

3 years ago

The weekly salaries of a sample of employees at the local bank are given in the table below. Employee Weekly Salary Anja $245 Ra

evablogger [386]

The variance for the data is 17,507. 5.

Given

The weekly salaries of a sample of employees at the local bank are given in the table below.

Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.

<h3>Variance</h3>

Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.

The mean value of the salaries of employees is;

$\rm Mean= \dfrac{245+300+325+465+100}{5}\\\\Mean=287$

The variance is given by;

$\rm Variance=\sqrt{\dfrac{(245-287)^2 +(300-287)^2 +(325-287)^2 +(465-287)^2 +(100-287)^2}{5-2}} \\\\Variance = 132.316}\\\\On \ Squaring \ both \ the \ sides\\\\Variance^2=17,507. 5$

Hence, the variance for the data is 17,507. 5.

To know more about variance click the link given below.

brainly.com/question/7635845

7 0

2 years ago

Working alone and at a constant rate, Machine A takes 3 hours to create a widget. Machine B, working alone and at a constant rat

PilotLPTM [1.2K]

Answer:

Time required by Machine B to create a widget = 4 hours

Step-by-step explanation:

Time taken by Machine A ( $T_{A}$ ) = 3 hours

Time taken by Machine B ( $T_{B}$ )= x hours

Time taken by both machines by working together = 12 hours

The time required to both machines by working together to finish a task is given by the formula = $\frac{T_{A} {T_{B} } }{T_{A} + T_{B} }$

Put the values in above formula we get

⇒ T = $\frac{3 x}{3 + x}$

⇒ 12 = $\frac{3 x}{3 + x}$

⇒ 36 + 12 x = 3 x

⇒ x = - 4 hours

This is the time required by Machine B to create a widget.

8 0

3 years ago