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2 years ago

What is the equation in point-slope form for the line parallel to y = 4x – 14 that contains P(–2, –6)?

2 answers:

8 0

Point t slope form:
y + y value = m (x + x value) where m is the gradient
Parallel line must have the same gradient as the two lines never meet, so the gradient must be 4. This eliminates option B and D.
Remember that point-slope form is still an equation, so the values of both sides must be equal. So let's substitute the given coordinates.
Option A:
y-6=4(x+2)
-6-6 (-12) does not equal to 4(-2+2) (0)
Option C:
y+6=4(-2+2)
-6+6 (0) = 4(-2+2) (0)
Therefore, option C is your answer.

vesna_86 [32]2 years ago

7 0

- Point slope form is y - b = m(x - a), where m is the slope and (a, b) is a point on the line.
- Parallel lines have the same slope

The given equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. m in y = 4x - 14 is 4; our equation in point-slope form will have 4 as m.
We have the slope (4), so now we have to add the "point on the line" which is given: P(-2, -6). That's all the information needed to write an equation in point-slope form that's parallel to y = 4x - 14; all that's left is to substitute and simplify.

y - b = m(x - a)
y - (-6) = 4(x - (-2))
y + 6 = 4(x + 2)

Answer:
C. y + 6 = 4(x + 2)

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G(x)= -\dfrac{x^2}{4} + 7g(x)=− 4 x 2 +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, squared,

RUDIKE [14]

Answer:

Step-by-step explanation:

Given the function $G(x)= -\dfrac{x^2}{4} + 7$ , the average rate of change of g(x) over the interval [-2,4], is expressed as shown below;

Rate of change of the function is expressed as g(b)-g(a)/b-a

where a - -2 and b = 4

$G(4)= -\dfrac{4^2}{4} + 7\\G(4)= -\dfrac{16}{4} + 7\\G(4)= -4 + 7\\G(4) = 3\\$

$G(-2) = -\dfrac{(-2)^2}{4} + 7\\G(-2)= -\dfrac{4}{4} + 7\\G(-2)= -1 + 7\\G(-2)= 6$

average rate of change of g(x) over the interval [-2,4] will be;

$g'(x) = \frac{g(4)-g(-2)}{4-(-2)}\\ g'(x) = \frac{3-6}{6}\\\\g'(x) = -3/6\\g'(x) = -1/2$

6 0

2 years ago

Jennifer has a bag of chips that contains 2 red chips and 1 black chip. If she also has a fair die, what is the probability that

fredd [130]

<span> the probability that she rolls an odd number AND and pulls a red chip

so it is = Prob(odd no) * Prob(red chip)

Prob(odd no) for a fair die = 1/2

Prob(red chip) = red chip / total chip = 2/(2+1) = 2/3

so the ans is 1/2 * 2/3 = 1/3

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7 0

2 years ago

Read 2 more answers

Consider the set of differences, denoted with d, between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Find the sample standa

sveta [45]

Answer:

The sample standard deviation is 15.3.

Step-by-step explanation:

Given data items,

84, 85, 83, 63, 61, 100, 98,

Number of data items, N = 7,

Let x represents the data item,

Mean of the data points,

$\bar{x}=\frac{84+85+83+63+61+100+98}{7}$

$=82$

Hence, sample standard deviation would be,

$\sigma= \sqrt{\frac{1}{N-1}\sum_{i=1}^{N} (x_i-\bar{x})^2}$

$=\sqrt{\frac{1}{6}\sum_{i=1}^{7} (x_i-82)^2}$

$=\sqrt{\frac{1}{6}\times 1396}$

$=\sqrt{232.666666667}$

$=15.2534149182$

$\approx 15.3$

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2 years ago

Hariette would like to review the income and expenses that were actually paid last month so she can determine how much to set as

Brrunno [24]

Answer:

Hybrid basis

Step-by-step explanation:

There are different methods of accounting used by businesses depending on their peculiar needs. Below are the type of accounting methods:

- Cash basis is when revenues and expenses are recognised when cash is recieved or paid out.

-Accrual basis is when revenue and expenses are recognised when they are earned. For example if services are rendered to a client that will pay in a week's time, since service has already been given it is considered that the future payment has been earned.

- Modified basis combines elements of cash and accrual basis. For example considering short term assets like accounts receivable and accounts payable as cash items. Long term assets are recorded on accrual basis.

- Hybrid basis is used when cash and accrual methods are used for various expenses and tax. Mostly it is used for internal accounting purposes.

In this scenario Hariette would like to review the income and expenses that were actually paid last month. This requires a cash basis that shows actual amount recieved and paid last month. Account receivable and payable are not considered.

In setting aside money for tax she will employ accrual basis accounting. It is an expense that is estimated for future use.

So the hybrid basis is the method that will be most suitable.

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2 years ago

What integer is closest to 31/7

Sonja [21]

Answer:

31/7 = 4 3/7.....3/7 is less then 1/2....so the closest integer is 4

Step-by-step explanation:

Please mark me brainlist if this helped

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2 years ago