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3 years ago

What will be the equation of a line that is

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

8 0

Answer:

y=x+4

Step-by-step explanation:

Solve with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent. Plug in the coordinates we have into the formula, along with the slope from the original equation (-1). To check, we can plug the coordinates back into the equation.

y-(1)=-1(x+3)

y-1=x+3

y=x+4

Check:

(1)=(-3)+4

1=1

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8x = 96 How would I solve for x

Vaselesa [24]

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2 years ago

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The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

The least number of items to produce is 41

Step-by-step explanation:

Average Cost

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

8 0

2 years ago

Need Help...

Rudik [331]

|7x-7|+3 = 4x+1 ⇒⇒⇒ add (-3) to both sides

∴ |7x-7| = 4x - 2

According to the absolute rule
∴ 7x - 7 = 4x - 2 OR -(7x - 7) = 4x - 2
7x - 4x = 7 - 2 l 7x - 7 = -4x + 2
 3x = 5 l 7x + 4x = 2 + 7
x = 5/3 l 11 x = 9 ⇒⇒⇒ x = 9/11

∴ x = 5/3 and 9/11

So, the correct answer is option B. 5/3 and 9/11

5 0

3 years ago

What is the slope for y = 4 + 3x? * Your answer

Leto [7]

Answer:

Step-by-step explanation:

5 0

2 years ago

PLEASE HELP!!!!!! DUE!!!!!!!!!

ollegr [7]

Answer:

y = 1/4x - 2

Step-by-step explanation:

Line whose perpendicular which we have to find : 8x+2y=14

A line which is in the form of ax + by = c

has slope - a / b

Thus slope for 8x+2y=14 is -8/2 = -4.

_______________________________________

Slope of two lines with slope m1 and m2 which are perpendicular to each other have the slope relation as

m1*m2 = -1.

here m1 is -4. we have to fine m2

thus

-4*m2 = -1

=> m2 = -1/-4 = 1/4

_________________________________________

Equation of slope intercept form line is y = mx + c

c is the intercept of line on y axis

and m is the slope of line.

Thus required line has equation

y = mx + c

m we have calculated as 1/4

thus

y = 1/4x + c

Given that this line passes through (−4,−3). Hence, this point will satify the equation y = 1/4x + c.

Substituting value of x and y with coordinates we have (−4,−3)

-3 = (1/4) * (-4) + c

-3 = -1 + c

=> c = -3 + 1

=> c = -2

y = 1/4x + c , substituting the value c calculated

y = 1/4x - 2

Thus , equation of line perpendicular to the line 8x+2y=14 and passing through point (−4,−3) is y = 1/4x - 2.

3 0

3 years ago