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3 years ago

Write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)

Mathematics

1 answer:

lutik1710 [3]3 years ago

8 0

9514 1404 393

Answer:

y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

y = mx +b

y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

b = 9 -4(4) = -7

The desired equation is ...

y = mx +b

y = 4x -7

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The rabbit population in an isolated forest rises and falls depending on the population of predators. Within the year 2014201420

WITCHER [35]

Answer:

Step-by-step explanation:

If within the year 2014, the population p of the rabbits m months after January 2014 is modeled by the equation p = 0.05(m-1.5)(m-8.5) and the population reach 10,000 some time in February, to determine the time, given as months after January 1 2014, that the rabbit population reach ten thousand, we will substitute p = 10 into the modeled equation and get the value of m as shown;

$p = 0.05(m-1.5)(m-8.5)+10 \\substitute \ p = 10\\\\ 10 = 0.05(m-1.5)(m-8.5)+10\\\\10-10 = 0.05(m-1.5)(m-8.5)\\\\0 = 0.05(m-1.5)(m-8.5)\\\\0/0.05 = (m-1.5)(m-8.5)\\\\0 = (m-1.5)(m-8.5)\\ (m-1.5)(m-8.5) = 0\\ m-1.5 = 0 \ and \ m-8.5 = 0\\m = 1.5 \ and \ 8.5\\$

Hence the population of the rabbit reach 10,000 after 1.5 months and 8.5 months

5 0

3 years ago

Which polynomial is a difference of two squares? O x² – 16 O x² +16 O x² – 8 O x² + 8

UNO [17]

Answer:

x²-16

Step-by-step explanation:

x²-16 =0

Add 16 to both sides

x²-16 + 16 = 0 + 16

Simplify

x²= 16

For x²=(fa) the solutions are x = √(fa), -√(fa)

X=√16 ,X= -√16

√16=4

-√16 = -4

x=4, x= -4

3 0

2 years ago

Expand( a/3 - b/6 -1)^2

Artemon [7]

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~

( a/3 - b/6 -1)^2 as expanded form:

$\frac{a^2}{9} - \frac{ab}{9} - \frac{b^2}{36} - \frac{2a}{3} - \frac{b}{3} + 1$

Step-by-step explanation: You have to Simplify the expression.

Hope this helped you. Brainliest would be nice!

3 0

3 years ago

Find the value of the variable using these steps.

Sedaia [141]

Answer:mean you have to switch define

1. Subtraction property of equality

2. Division property of equality

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

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Alexus [3.1K]

B is the correct answer

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3 years ago