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anzhelika [568]
3 years ago
12

Find the slope between the points (2, -10) and (-4, 2). A) 1/4 B) -2 C) 4 D) -1/2

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

B) -2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(2-(-10))/(-4-2)=(2+10)/-6=12/-6=-2

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A cleaning company charged $125 to clean a 2500 square foot house. The same company charged $146 to clean a 3200 square foot hou
HACTEHA [7]

Answer:

The cost is y = $185

Step-by-step explanation:

Let us have points spelt out here

(2500,125) and (3200,146)

The general form of a straight line equation is;

y = mx + b

where m is slope

So to calculate the slope in this case, we have

m = (146-125)/(3200-2500)

m = 21/700 = 0.03

So we have the equation as

y = 0.03x + b

To get b, we use any of the two points

Let us use (2500,125)

So we have

125 = 0.03(2500) + b

125 = 75 + b

b = 125-75

b = 50

So the complete equation of the line is;

y = 0.03x + 50

So here, we want to find the cost of a house with 4500 square feet

simply substitute 4,500 for x

y = 0.03(4500) + 50

y = 135 + 50

y = $185

4 0
3 years ago
Find the domain over which the function y = x + 6x is monotonic increasing.
iragen [17]

Answer:

x > -3

\sf (-3, \infty)

Step-by-step explanation:

Domain: input values (x-values)

Monotonic increasing:  always increasing.  
A function is increasing when its graph rises from left to right.

The graph of a quadratic function is a parabola.  If the leading term is positive, the parabola opens upwards.  The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.

<u>Vertex</u>

Standard form of quadratic equation:  \sf y=ax^2+bx+c

\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}

Given function:

\sf y=x^2+6x

Therefore, x-value of function's vertex:

\sf \implies x= -\dfrac{6}{2}=-3

<u>Final Solution</u>

The function is increasing when x > -3

\sf (-3, \infty)

4 0
2 years ago
Is a line having no slope the same as it having a slope of 0?
Zanzabum
Yes it is the same as having no slope.
4 0
3 years ago
Read 2 more answers
Find the slope of the line represented by the table of values.
PSYCHO15rus [73]

Answer:

D) -2

Step-by-step explanation:


7 0
3 years ago
The table shows conversions of common units of capacity.
notsponge [240]

9514 1404 393

Answer:

  285 centiliters

Step-by-step explanation:

Using the given conversion factor:

  1 quart = 0.95 L = 95 cL

  3 quarts = 3 × 95 cL = 285 cL

There are approximately 285 centiliters in 3 quarts.

__

Centi- is a prefix meaning 1/100th. So, 0.95 L (95 hundredths) is 95 cL.

4 0
2 years ago
Read 2 more answers
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