4g^2 - 32g = 0 into polynomial? PLEASE ANSWER THIS QUICKLY IM BEGGING

Answer:

y=31x/15 < y=27x/13 < y=15x/7 < y=13x/6 < y=11x/5 < y=21x/9 (=7x/3) < y=19x/8

Step-by-step explanation:

since all equations base on a linear, simple expression of x, we can simply compare the fractions.

in general, the bigger the number at the bottom, the smaller the individual fraction. that is our first indicator.

we then notice that many fractions represent the value of 2 plus one fraction.

31/15 = 2 1/15

27/13 = 2 1/13

15/7 = 2 1/7

13/6 = 2 1/6

11/5 = 2 1/5

the only exceptions are 21/9 and 19/8

but 21/9 is actually 7/3 = 2 1/3

and fits therefore into the list above.

that leaves 19/8 = 2 3/8.

the list above can be sorted based on the single fraction at the end (remember, the bigger the number at the bottom, the smaller the value). so, from least to greatest :

2 1/15 (31/15)

2 1/13 (27/13)

2 1/7 (15/7)

2 1/6 (13/6)

2 1/5 (11/5)

2 1/3 (7/3 = 21/9)

where did now 2 3/8 fit in ?

well, 3/8 is almost 1/2 (so, relatively big), and we start our comparison with the biggest number in the list so far :

1/3 (from 2 1/3).

what is bigger - 1/3 or 3/8 ?

let's find the smallest number that can be divided by 3 and by 8. that would be 24. so now we bring both fractions to the same base of 24.

1/3 = 8/24

3/8 = 9/24

=> 3/8 > 1/3

and therefore, 19/8 is the largest value and at the end of the list.

Answer:

10 blocks.

Step-by-step explanation:

Find the unit rate.

[tex]\frac{28}{4}=\frac{7}{1}=\frac{70}{10}[/tex]

Therefore, 10 blocks weigh 70 ounces.

Answer:

179

Step-by-step explanation:

I believe this is correct, if not feel free to elt me know and I will fix it. I'm sorry in advance if it is incorrect.

Step-by-step explanation:

Area of a triangle = 1/2 base x height

Area of a rectangle = length x breadth

The triangle has 4km and 8km

1/2 x 8 x 4 = 32÷ 2 = 16km². area of a triangle

7km x 9km = 63 km²

The surface area is basically everything joined together making it

area of a triangle x area of a rectangle = 16km² x 63km² = 1,008km².

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

[tex]f(t) = -(t^2-6t-5)[/tex] and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

[tex]t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)}[/tex] and

[tex]t=\frac{6+-\sqrt{36+40} }{2}[/tex] and

[tex]t=\frac{6+-\sqrt{56} }{2}[/tex] so the 2 solutions are

[tex]t=\frac{6+\sqrt{56} }{2}=6.74sec[/tex] and

[tex]t=\frac{6-\sqrt{56} }{2}=-.742sec[/tex] and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

[tex]-8(t^2-6t)=-40[/tex] Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

[tex]-8(t^2-6t+9)=-40+??[/tex]

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

[tex]-8(t^2-6t+9)=-40-72[/tex]

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

[tex]-8(t-3)^2=-112[/tex]

For the last step, add over the -112 and set it back equal to f(t):

[tex]-8(t-3)^2+112=f(t)[/tex] From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

Answer:

x> 13

Step-by-step explanation:

x-4 >9

Add 4 to each side

x-4+4 >9+4

x> 13

Answer:

[tex]\frac{15+6}{10-3}[/tex]

Step-by-step explanation:

Sum of 15 and 6 = 15 + 6

Difference of 10 and 3 = 10 - 3

So, the expression is

[tex]\frac {15 + 6}{10-3}[/tex]

This is the required expression.

Answer:

Mean = 14.33333333

Median = 11

Mode= 9 and 11

Range  = 42

Step-by-step explanation:

To find the mean, add all the numbers

(5+1+15+43+9+9+11+11+14+12+36+6) = 172

Divide by the number of numbers

172/12 = 14.33333333

Median is the middle number when listed from smallest to largest

1,5,6,9,9,11,11,12,14,15,36,43

Split into 2 even groups

1,5,6,9,9,11,    11,12,14,15,36,43

The middle is between 11 and 11

(11+11)/2 = 11

Mode is the number that appears mode often

This has 2 modes, 9 and 11

Range is largest number minus smallest number

43-1 = 42

Answer:

Step-by-step explanation:

Thank your for revising and improving the image.

Assuming DF is a straight line,

Given E is the mid-point of DF

mCE = mGF

CE || GF

Then

mDE = mEF (E midpoint of DF)

Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)

mCE = mGF (given)

Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)

Answer:

x= 15

Step-by-step explanation:

Since this is an isosceles triangle, the other angle is also 5x-6

The sum of the angles of a triangle is 180

42+ 5x-6 + 5x-6 = 180

Combine like terms

10x+30 =180

Subtract 30 from each side

10x+30-30 = 180-30

10x = 150

Divide by 10

10x/10 = 150/10

x= 15

Answer:

Yes

Step-by-step explanation:

Here's why:

15 ÷ 5 = 3

10 ÷ 5 = 2

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So: 15:10 = 3:2

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Have a good day :)

Answer:

a=acceleration due to gravity=9.8m/s²

v=final velocity

u=initial velocity

t=time taken

Answer:

C. y=1/4x+4

Step-buy-step explanation:

y = -4x + 9

slope = m = -4

slope of perpendicular lines: m1 + m2 = -1

so the new slope will be 1/4

then use slope point equation again it does not matter which point you use

y - y1 = m ( x - x1 )

y - 5 = 1/4 ( x - 4)

y = 1/4x -1 +5

y = 1/4x +4

Answer:

multiplyeach values on both sides

Answer:

x^2 +x -6

11 [tex]\frac{3}{10}[/tex]

[tex]\frac{77}{6}[/tex]

Step-by-step explanation:

Answer:

x = cost of each gift basket = $14.5

y = one time delivery fee = $135

Step-by-step explanation:

Let

x = cost of each gift basket

y = one time delivery fee

40x + y = 715 (1)

400x + y = 5935 (2)

Subtract (1) from (2)

400x - 40x = 5935 - 715

360x = 5220

x = 5220/360

x = 14.5

Substitute x = 14.5 into (1)

40x + y = 715 (1)

40(14.5) + y = 715

580 + y = 715

y = 715 - 580

y = 135

x = cost of each gift basket = $14.5

y = one time delivery fee = $135

Answer:

49.54

Step-by-step explanation:

Take the new price and add the amount that it was reduced by to get the original amount

47.25+2.29

49.54

That was the original price

Answers:

============================================================

Explanation:

Let's use the slope formula to get

m = (y2-y1)/(x2-x1)

m = (6-4)/(5-2)

m = 2/3

The slope of the line is 2/3.

We can see that the responses for choices 1 and 3 are "no" because they involve a slope of 3/2.

-------------

Recall that y-y1 = m(x-x1) represents the point slope form. The m is the slope and (x1,y1) is the point the line goes through.

If we plugged the point (x1,y1) = (2,4) , along with the slope m = 2/3, then we'll get to what choice 2 is saying

If we tried the other point (5,6), and kept m the same, then we'd get to choice 4.

That makes choices 2 and 4 "yes" responses.

Step-by-step explanation:

17². + 144²=x²

289 + 20736=x²

x²=21025

x =√21025

x=145

145 miles apart

50 miles apart

hope this helps

Answer:

See below

Step-by-step explanation:

You pull-out what is common.

2[tex]x^{3} -16x^{2} -18x[/tex]

[tex]2x(x^{2} -8x-9)[/tex]

2x(x-9)(x+1)

To verify, set each answer = 0

2x = 0, x=0

x-9 = 0, x=9

x+1 = 0,  x=-1

Now, plug each value back into the equation and make sure each one equals 0.

A. cone

D. triangular pyramid

E. square pyramid

(Look at the photo at the bottom.)

First, know what a cross section is. A cross section is the exposed shape or surface when a straight cut is made through a 3D figure. For example, if I make a cross section, or cut, through a sphere, the cross section will be a circle. The newly exposed surface is in the shape of a circle.

We want to know which 3D figures can make 2 different cross sections, parallel to the base, that are congruent. Congruent means same shape but different size. Parallel to the base means the cut is completely horizontal.

Here's a photo of Edge incase you're doubtful.

Answer: A, D, E

Step-by-step explanation:

Answer:

$23551.67

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of card board=(6+4+6+4)×10+2×6×4

=200+48

=248 in²

Answer:

Please give the context of questions, as it really helps people answer your questions. thanks! n.n

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

Answer:

254.47

Step-by-step explanation:

Raidus of the circle is 9

Formula to find the area is pi r^2

Answer:

Step-by-step explanation:

52 predicted that they will pass which means that (80-52) = 28 predicted that they will fail.

people who passed among the predicted ones = 52 * 3/4 = 39 people

54 people pass altogether so people who passed among the ones who predicted they will fail = 54 -39 = 15 people

percentage = 15/28 * 100 = 53.6 %

Answer:

5 7/20

Step-by-step explanation:

Yw

Answer:

[tex]5\frac{7}{20}[/tex]

Step-by-step explanation:

First see if both mixed numbers have the same common denominators.

[tex]9\frac{1}{10} -3\frac{3}{4}[/tex]   different common denominators.

Find the LCM for both mixed numbers.

Answer: 20

10: 10, 20

4: 4, 8, 12, 16 and 20

Next convert each of the mixed numbers into a common denominator of 20.

[tex]9\frac{1}{10} =9\frac{2}{20}[/tex]   [tex]3 \frac{3}{4} = 3\frac{15}{20}[/tex]

For [tex]9\frac{1}{10}[/tex] multiply the denominator by 2 to get a common denominator of 20. Whatever number you multiplied to the denominator, you multiply it to the numerator. Except the whole number of course.

Same thing goes to the other fraction! I'm running out of time :(

Answer:

inequality: x > -3

Set notation: {x: x> -3}

Interval notation: [-3, ∞)

The interval can be described as inequality is x>-3, the set notation is {x: x>-3}, and the interval notation is [-3, α).

The positive, negative, whole, and rational numbers can be mark on a number line. Numbers appearing on the right side of 0 are positive, and those reflected on the left side are negative.

The thick line on the picture starts at -3 and tends towards positive infinity.  So, it can be represented as inequality by x>-3.

The set notation can be described for x-axis elements since it is a line. The elements greater than -3 are present in it. So it can represented as {x :x> -3}.

The interval ranges from -3 to positive infinity; hence, it can be represented as [-3,α).

So we can conclude that the interval can be represented by an inequality as x > -3, the set notation contains elements greater than -3, and the interval ranges from -3 to positive infinity.

To learn more about number line, use the link given below:

https://brainly.com/question/13189025

#SPJ2

Answer:

So the high of the of the wall will be, 15m

Step-by-step explanation:

You can use Pythagoras theorem, c^2=a^2+b^2.

Take the length of the ladder as c, the foot of the ladder as (a), and the high of the wall as (b).

So :

c^2=a^2+b^2

(17m)^2= (8m)^2+ b^2

289m^2 = 64m^2 + b^2

289m^2 - 64m^2 = b^2

225m^2 = b^2

[tex] \sqrt{225m \:} = b[/tex]

15m = b