All categories

1 year ago

Determine the intercepts of the line. Do not round your answers. 2x+5y=-6, y x-intercept:

Mathematics

1 answer:

NikAS [45]1 year ago

3 0

The required x and y-intercept of the given line is -3 and -6/5 respectively.

<h3>What is the slope of the line?</h3>

The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The given equation of the line is 2x+5y=-6.
Transform into standard form of line .i.e is y = mx + c

5y = -2x - 6
y = -2x/5 - 6/5
here , m = -2/5 and c = -6/5
Since c = y-intercept of the line = -6/5
Now, put y = 0 in the equation of the line.
2x = -6
x = -3

Thus, the required x and y-intercept of the given line is -3 and -6/5 respectively.

Learn more about slopes here:
brainly.com/question/3605446

#SPJ1

You might be interested in

A company that manufactures guitars has a fixed cost of $100,000. It costs $100 to produce each guitar and the selling price is

miv72 [106K]

a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars

---------------------------------

b. Write the revenue function:: R(x) = 300x where x is number of guitars

-----------------------

c. Find the profit function.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = [ R(x) ] - [ C(x) ]

P(x) = [ 300x ] - [ 100x+100,000 ]

P(x) = 300x - 100x-100,000

P(x) = 200x - 100,000

The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.

Solve 125x - 100,000 = 0

125x = 100,000

x = 800 (# of guitars made and sold)

7 0

3 years ago

Find the value of x , if log₂ [log₅ (log₃x)] = 0

Lina20 [59]

$\log_2 (\log_5( \log_3x)) = 0\\
D:x>0 \wedge \log_3x>0 \wedge \log_5(\log_3x)>0\\
D:x>0\wedge x>1 \wedge\log_3x>1\\
D:x>1 \wedge x>3\\
D:x>3\\
\log_5(\log_3x)=1\\
\log_3x=5\\
x=3^5\\
x=243$

3 0

3 years ago

Solve the following inequality.

Anika [276]

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

Given the following inequality,

$\frac{m - 2}{3} < -2 \\$

4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

$\frac{m - 2}{3} < -2 \\$

Multiply both sides by 3

$\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6$

Add 2 to both sides

$m - 2 + 2 < -6 + 2\\\\m < -4$

4m + 3 > 15

Subtract 3 from each side

4m + 3 - 3 > 15 - 3

4m > 12

Divide both sides by 4

$\frac{4m}{4} > \frac{12}{4} \\\\$

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

Learn more here:

brainly.com/question/24434501

8 0

2 years ago

The distribution of heights of young women aged 18 to 24 is approximately normal with a mean of 64.5 inches and a standard devia

Lena [83]

The 68 - 95 - 99.7 rule, gives the basis to solve this question.

It says that for a normal distribution 95% of the results are between the mean minus 2 standard deviations and the mean plus 2 standard deviations.

Here:
mean = 64.5 inches,
standard deviaton = 2.5 inches

mean - 2 standard deviations = 64.5 inches - 5 inches = 59.5 inches

mean + 2 standard deviations = 64.5 inches + 5 inches = 69.5 inches

Then, the answer is that 95% of women range approximately between 59.5 inches and 69.5 inches.

6 0

3 years ago

How many terms are in

tatyana61 [14]

Answer:

Step-by-step explanation:

4 0

3 years ago