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labwork [276]
3 years ago
13

How to make a math question out of 14-7

Mathematics
1 answer:
german3 years ago
6 0

Answer:

Mandy's bakery has 14 cupcakes at the beginning of the day. throughout the day 7 cupcakes were bought. how many cupcakes are left?

Step-by-step explanation:

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The graph below shows two polynomial functions, f(x) and g(x):
neonofarm [45]
The answer is '<span>f(x) is an odd degree polynomial with a positive leading coefficient'.

An odd degree polynomial with a positive leading coefficient will have the graph go towards negative infinity as x goes towards negative infinity, and go towards infinity as x goes towards infinity.

An even degree polynomial with a negative leading coefficient will have the graph go towards infinity as x goes toward negative infinity, and go towards negative infinity as x goes toward infinity.

g(x) would have a a positive leading coefficient with an even degree, as the graph goes towards infinity as x goes towards either negative or positive infinity.
</span>
3 0
3 years ago
Read 2 more answers
A castle is surrounded by a circular moat which is 5 m wide
Elanso [62]

Answer:

  1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

<h3>Moat area</h3>

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

  C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

  moat area = (45π m)(5 m) = 225π m²

<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

  V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0
1 year ago
Find the inverse of the following function:
tigry1 [53]
First, we are going to find the inverse function of f(x) by replacing f(x) with y, and then, interchanging x and y and solving for x:
y=-2 \sqrt{3x-1} -5
x=-2 \sqrt{3y-1} -5
-2 \sqrt{3y-1} =x+5
\sqrt{3y-1} = \frac{x+5}{-2}
3y-1=( \frac{x+5}{-2} )^{2}
3y=( \frac{x+5}{-2} )^{2} +1
y= \frac{( \frac{x+5}{-2})^{2}+1  }{3}

Next we are going to evaluate our inverse function at x= \frac{1}{3}:
y= \frac{( \frac{ \frac{1}{3}+5 }{-2})^{2}+1  }{3}
y= \frac{( \frac{ \frac{16}{3} }{-2})^{2}+1  }{3}
y= \frac{(- \frac{8}{3})^{2}+1  }{3}
y= \frac{ \frac{64}{9}+1 }{3}
y= \frac{ \frac{73}{9} }{3}
y= \frac{73}{27}

We can conclude that the inverse function of f(x)=-2 \sqrt{3x-1} -5 when x= \frac{1}{3} is \frac{73}{27}

5 0
3 years ago
Help! I’m stuck please and ty
Tamiku [17]

Answer:

-7

Step-by-step explanation:

They both are perpendicular lines. Which means that their slopes are opposite reciprocals.

8 0
3 years ago
Read 2 more answers
Graph a line that is parallel to the line x=4 that goes through the point (−2,3)
Ivanshal [37]
<h2>Answer:</h2><h2>R=2</h2><h2 /><h2>Explanation:</h2><h2>x = 4  is a vertical line parallel to the y-axis and passing </h2><h2> through all points in the plane with an x-coordinate of 4 </h2><h2> x = 2  is parallel to  x = 4  so is a vertical line </h2><h2> passing through all points with x-coordinate of 2 </h2><h2> plot 2 or 3 points with an x-coordinate of 2 and  draw a straight line through them </h2><h2> for example  </h2><h2>( 2 , − 5 ) , (2 , 0 ) , ( 2 , 3 ) </h2><h2> graph{(y-1000x+4000)(y-1000x+2000)=0 [-10, 10, -5, 5]}</h2>
7 0
3 years ago
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