MATHEMATICS MIDDLE SCHOOL

20 POINTS 2. Order the group of quadratic functions from widest to narrowest graph.

Y=2x^2 ; y=4x^2 ; y=5x^2

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20 POINTS 2. Order the group of quadratic functions from - 1

Answers

Answer 1
Answer:

Answer:

the answer is A i know bc i took the test and got a 100

Step-by-step explanation:

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Look at this prism and its net. Rectangular prism with length labeled 5 meters, width labeled 7 meters, and height labeled 12 meters. Net of the same rectangular prism with the same dimensionsn labeled. What is the surface area of this rectangular prism?

Answers

There will be three pairs of matching sides: one pair 5x7, one pair 5x12 and one pair 12x7. We can compute the are of each side (in pairs) and then add up the total:

A_(surf)=2*(l * w)+2*(l * h)+2*(h * w)
A_(surf)=2*(5*7)+2*(5*12)+2*(12*7)
A_(surf)=2*35+2*60+2*84
A_(surf)=70+120+168
A_(surf)=358 
A_(surf)=358m^(2)

what is the ratio of the number of degrees in the interior angle of a regular pentagon to the number of degrees in the interior angle of a regular hexagon ? express your answer as a common fraction.

Answers

Answer: Answer is 3/4

Step-by-step explanation: The sum of the interior angles of a regular polygon is calculated as follows;

(n-2) × 180° {where n represents the number of sides of the polygon}

A pentagon is a polygon with five equal sides. Therefore the sum of it's interior angles is calculated as;

(5-2) × 180°

=3×180°

=540°

A hexagon is a polygon with six equal sides. Therefore the sum of it's interior angles is calculated as;

(6-2) × 180°

=4×180°

=720°

Therefore, the ratio of the number of degrees in the interior angles of a regular pentagon, to the number of degrees in the interior angles of a regular hexagon is given as

540:720

If you divide both sides by their prime factors (2×2×3×3×5) the ratio becomes

3:4 in it's simplest form.

As a common fraction, it can be expressed as

3/4.

Solve these word problems 1---3 1: A factory processes 1,560 ounces of olive oil per hour. The oil packaged into 24-ounces bottles.How many bottles does the factory fill in one hour 2: A pond at a hotel holds 4,290 gallons of water.The groundskeeper drains the pound at a rate of 78 gallons of water per hour.How long will it take to drain the pound? 3:Explain using partial quotients to divide is similar to using the Distributive proprerty to multiply

Answers

1. To do this, you want to divide 1560 by 24.  This gives you 65.  The bottle fills 65 bottles per hour.
2. To do this divide 4290 by 78.  The result is 55.  It would take the groundskeeper 55 hours to drain the pond.  
3. They are similar because you break up pieces of the number and then you combine them.
65 bottles per hour is the answer because basically what you have to do is divide 1,560 by 24.

So far John has run 1/4 of the way to school and walked 3/8 of the way. what fraction of the distance to school does John have left.

Answers

(1)/(4) + (3)/(8) = (2)/(8) + (3)/(8) =(5)/(8) \n\nleft:\ \ \ 1-(5)/(8)=(3)/(8)\ \ \ of\ the\ distance\ to\ school
the whole road is 1

1-(1/4+3/8)=
1-(2/8+3/8)=
1-5/8=
8-5/8=
3/8 have left

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?a. 1 over 2
b. 2
c. negative 1 over 2
d. −2

Answers


Slope: -2

NOTE: The line perpendicular to line  has a slope . 

So your slope is    -  1 over 2  (Answer a)

Solve each system of linear equations by substitutions.1. 3x-2y=9 y=2x-7
2. Y=x-4 2x+y=5
3. X+4y=6 y=-x+3

Answers

1.
3x-2y=9 \n y=2x-7 \n \n \hbox{substitute 2x-7 for y in the 1st equation:} \n 3x-2(2x-7)=9 \n 3x-4x+14=9 \n -x=9-14 \n -x=-5 \n x=5 \n \n y=2x-7=2 * 5-7=10-7=3 \n \n \boxed{(x,y)=(5,3)}

2.
y=x-4 \n 2x+y=5 \n \n \hbox{substitute x-4 for y in the 2nd equation:} \n 2x+x-4=5 \n 3x=5+4 \n 3x=9 \n x=3 \n \n y=x-4=3-4=-1 \n \n \boxed{(x,y)=(3,-1)}

3.
x+4y=6 \n y=-x+3 \n \n \hbox{substitute -x+3 for y in the 1st equation:} \n x+4(-x+3)=6 \n x-4x+12=6 \n -3x=6-12 \n -3x=-6 \n x=2 \n \n y=-x+3=-2+3=1 \n \n \boxed{(x,y)=(2,1)}
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