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3 years ago

if the machine can process 600 pretzels 15 minutes how long must the machine run in order to make 3120

1 answer:

5 0

78

step by step explanation:

first: divide 600 and 15

answer to 600/15: 40

second: divide 3120 and 40

final answer: 78

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A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

6 0

4 years ago

A (-5,3)

stellarik [79]

Answer:

- 3/4

Step-by-step explanation:

m = difference of y / difference of x = (3 - (-3)) / (-5 -3) = 6 / -8 = - 3 / 4

6 0

3 years ago

Which function below has a Domain of all Real Numbers (i.e. (-∞,∞))

masha68 [24]

Answer:

all have domain of real numbers

Step-by-step explanation:

7 0

3 years ago

Which benchmark angles (multiples of 30 degrees or 40 degrees) are closest to the rotation angles below?

Setler [38]

The benchmark angles are angles that are used as references like- 30 degrees, 45 degrees, 60 degrees, etc.

The closest angles to given rotation angles are:

A- 40- closest to the multiple of 45 degrees.

B- 140- closest to the multiple of 45 degrees (135 degree).

C- 170- closest to the multiple of 30 degrees (closest to 180 degrees which is multiple of both 30 and 45 degrees).

D- 220 -closest to the multiple of 30 degrees (210 degree).

E- 250- closest to the multiple of 30 degrees (240 degree).

F- 310- closest to the multiple of 45 degrees (315 degree).

4 0

4 years ago

What is the y-intercept of this equation? y= 5x + 2

katrin2010 [14]

2 because that’s how the equation is

5 0

3 years ago

Read 2 more answers

if the machine can process 600 pretzels 15 minutes how long must the machine run in order to make 3120​

if the machine can process 600 pretzels 15 minutes how long must the machine run in order to make 3120