Let f(×) = x - 2 and g(x) = x2- 7x -9

Consumption of alcoholic beverages by young women of drinking age has been increasing in the United Kingdom, the United States,

horrorfan [7]

Duehdjueueuvhdhddhdj

7 0

3 years ago

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Write an equation in slope-intercept form for the line that is parallel to y=−4x−3 and that passes through the point (−2,4).

kirill115 [55]

Answer:

The Correct option is Last one $y=-4x-4$

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line $y=-4x-3$ is $y=-4x-4$

Step-by-step explanation:

Given:

$y=-4x-3$

To Find:

Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3

Solution:

$y=-4x-3$ ..........Given

Comparing with Slope-Intercept form,

$y=mx+c$

Where m =slope

We get

$Slope = m = -4$

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.

Now the equation of line in slope point form given by

$(y-y_{1})=m(x-x_{1})$

Substituting the points and so we will get the required equation of the line,

$(y-4))=-4(x-(-2))=-4x-8\\\\y=-4x-8+4=-4x-4\\\\y=-4x-4......Equation\ of\ line$

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line $y=-4x-3$ is $y=-4x-4$

8 0

3 years ago

what is the explicit formula and recursive formula of the numbers 4,7,10,13,16...i don't even know how to start this problem. i

Lana71 [14]

An arithmetic sequence is a sequence with a constant

increase or decrease also known as the constant difference

In the sequence 10, 40, 70, 100, ….

The constant difference between the terms is 30

A recursive formula for a sequence would be:

a1= first term in the sequence

an = term you are trying to find

an-1 = previous term in the sequence

d = constant difference

Explicit Formulas:

A formula that allows you to find the nth term of the sequence by substituting known values in the expression.

Formula : an = a1 + d( n - 1)

a1= first term in the sequence

an = current term in the sequence

d = constant difference

n = term number

Solution:

Write the explicit formula of the sequence 4, 7, 10, 13, 16 ….

Formula for explicit term:

an = ___ + ___( n - 1)

Simplify: an = ___ + ___n

In the sequence 4, 7, 10, 13, ….

To find the 11th term explicitly, I plug in the into the formula I just made:

an = 1 + 3n

a11 = 1 + 3(11)

a11 = 34

Find the 15th term of the sequence using the formula: an = 1 + 3n

Write the recursive formula of the sequence 4, 7, 10, 13, ….

Recursive formula:

a1 =

an = a n - 1

In the sequence 4, 7, 10, 13, 16 ….

To find the 5th term recursively, I plug it into the formula I just made:

an = an-1 + 3

a5 = a5-1 + 3 in words: 5th term equals the 4th term plus 3

a5 = 13 + 3

a5 = 16

Recursive and Explicit Formulas for Arithmetic (Linear) Sequences

8 0

3 years ago

Antony is flipping a coin and rolling a standard number cube (dice).

Flura [38]

Theres a 50/50 chance

6 0

3 years ago

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A carton of paper is priced at $27.00 now. If the papergoes on sale for 25% off the current price, what will be the sale price o

Alenkinab [10]

Divide the 27 by 4 and that will give you 6.75. Subract the 6.75 from the 27 and theres your answer (20.25) so the sale price is $20.25

3 0

3 years ago