Ask question

Ask question

All categories

Law Incorporation [45]

3 years ago

15

What is the slope of the graph of 14x + 7y = –9?

2 answers:

kondor19780726 [428]3 years ago

4 0

Y=mx+b
m=slope

or othe way

ax+by=c

slope=-a/b

14x+7y=-9
slope=-14/7=-2

slope=-2

Vera_Pavlovna [14]3 years ago

3 0

We will put ur equation in y = mx + b form, and the slope will be in the m position.

14x + 7y = -9
7y = -14x - 9
y = (-14/7)x - 9/7
y = -2x - 9/7

y = mx + b
y = -2x + (-9/7)....as u can see, the -2 is in the m position and is therefore the slope.

You might be interested in

Base: z(x)=cosx Period:180 Maximum:5 Minimum: -4 What are the transformation? Domain and Range? Graph?

garik1379 [7]

Answer:

The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is $z'(x) = \frac{1}{2} + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)$ .

The domain of the function is all real numbers and its range is between -4 and 5.

The graph is enclosed below as attachment.

Step-by-step explanation:

Let be $z (x) = \cos x$ the base formula, where $x$ is measured in sexagesimal degrees. This expression must be transformed by using the following data:

$T = 180^{\circ}$ (Period)

$z_{min} = -4$ (Minimum)

$z_{max} = 5$ (Maximum)

The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of $2\pi$ radians. In addition, the following considerations must be taken into account for transformations:

1) $x$ must be replaced by $\frac{2\pi\cdot x}{180^{\circ}}$ . (Horizontal scaling)

2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:

$\Delta z = \frac{z_{max}-z_{min}}{2}$

$\Delta z = \frac{5+4}{2}$

$\Delta z = \frac{9}{2}$

3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)

$z_{m} = \frac{z_{min}+z_{max}}{2}$

$z_{m} = \frac{1}{2}$

The new function is:

$z'(x) = z_{m} + \Delta z\cdot \cos \left(\frac{2\pi\cdot x}{T} \right)$

Given that $z_{m} = \frac{1}{2}$ , $\Delta z = \frac{9}{2}$ and $T = 180^{\circ}$ , the outcome is:

$z'(x) = \frac{1}{2} + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)$

The domain of the function is all real numbers and its range is between -4 and 5. The graph is enclosed below as attachment.

8 0

3 years ago

(2x+2y)+(3y-5x) EIHOIVHNVIHVIOE

Nina [5.8K]

$\huge\textsf{Hey there!}$

$\large\text{(2x + 2y) + (3y - 5x)}$

$\rightarrow\large\text{2x + 2y + 3y - 5x }$

$\large\textsf{COMBINE the LIKE TERMS}$

$\large\text{(2x - 5x) + (2y + 3y)}$

$\large\text{2x - 5x = \boxed{\bf -3x}}$

$\large\text{-3x + (2y + 3y)}$

$\large\text{2y + 3y = \boxed{\bf 5y}}$

$\large\text{\bf -3x + 5y}$

$\boxed{\boxed{\large\textsf{Answer: \huge \bf -3x + 5y}}}\huge\checkmark$

$\large\textsf{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

4 0

3 years ago

Read 2 more answers

A recursive rule for an arithmetic sequence is a1 = −4; an = an−1 + 11

Ivenika [448]

It’s a for sure I really think it’s A i don’t know

8 0

3 years ago

The table below represents the atmospheric temperature at a location as a function of the altitude:

RSB [31]

from x15 to x 25 is 4 - -16 = -20 degree change

25 -15 = 10000 feet

-20/10 = -2 degrees every 1000 feet

7 0

3 years ago

There are 28 students in Mr. Smith's math class. 6/7 of them prefer pizza over cheeseburgers. How many students prefer pizza?

miv72 [106K]

24 prefer pizza

Plz give brainliest

7 0

3 years ago

Read 2 more answers