I NEED HELP Quadratics and Their Solutions

Answer:

Maximum height of the ball = 100 m

Time to reach the maximum height = 2.5 seconds

Step-by-step explanation:

Function that models the height h(t) of the ball and time 't',

h(t) = -16t² + 80t

Convert this equation into vertex form,

h(t) = -16(t²- 5t)

     = -16[t² - 2(2.5t) + (2.5)² - (2.5)²]

     = -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²

     = -16(t - 2.5)² + 16(6.25)

     = -16(t - 2.5)² + 100

By comparing this equation with,

g(t) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the given parabola will be → (2.5, 100)

Therefore, maximum height of the ball = 100 m

Time taken by the ball to reach the maximum height = 2.5 seconds

Answer:

#1: 5/8, #2: It is a right triangle, #3 $2: per square foot, #4: 300%

Step-by-step explanation:

#1: If you want the probability of drawing a non-red marble, you need to have the number of non-red marbles divided by the total number of marbles. Since it's a 3 to 5 ratio, and the 5 represents marbles that are white, not red, you can put 5/(5+3), or 5/8 as your answer.

#2: For this one, you need to use the pythagorean theorem, a rule that will be true if it's a right triangle, and false if it's not. It's A² + B² = C², where C is bigger than A and B. To apply this, you can plug 7² + 24² into a calculator, and see whether or not the answer is equal to 25² (which, in this case, it is, meaning that it is a right triangle.)

#3: The idea with this is cancelling out the units until you end up with the units you want. You know how 7897/7897 would still be equal to one, as anything divided by itself is still one? We can use that concept, because multiplying our original value by 1 won't change the value, just the units. Since 1 yard = 3 feet, we can do this: ($18)/(yard²) × (1 yard)/(3 feet) × (1 yard)/(3 feet) = $2/feet²

#4 This one I will use sample values for: let's say our rectangle has a length of 10 inches and a width of 20 inches. That means it's area will be L × W, that is, 10 × 20 = 200 inches². Now lets increase the dimensions by 100%. Our length would become 20 inches, and our width would become 40 inches. That makes L × W = 20 × 40 = 800 inches². Now, to see what percent increase that is from the original, we have to do (800 - 200)/200, that is, 3, or 300%.

Sorry I don't have time to do the last one, but might I suggest that you post the questions individually next time? I just think it might make people less scared to jump into solving one problem than five, so you might get answers sooner =)

Answer:

5.1 - 5.9= 0.8 SO reverse it and do 5.9 - 5.1 and still get 0.8

Hope this helps ヾ(•ω•`)o - Six

You should begin setup by 12 PM to setup 500 tables.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, you have 6 people working to set up for tonight's banquet, and each person can set up 13 tables per hour.

So, in one hour total number of table can set up = 6×13

= 78

Number of hours = 500/78

= 6.41

≈ 6 hours

Therefore, you should begin setup by 12 PM to setup 500 tables.

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Answer:

the answer on 1. is correct

number 2. is -3 not 3

Answer:

2.5 rounds to 3

Step-by-step explanation:

5 divided by (or 5/2) 2 is 2.5 and since its not a whole number you rounded by the ones and you get 3.

Answer:

i can np

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

cuz i got it right

Answer:

260°

Step by step explanation:

Khan academy:

Answer:

g=-1

Step-by-step explanation:

3(g+4)=9

Divide both sides by 3.

g+4=  9/3

Divide 9 by 3 to get 3.

g+4=3

Subtract 4 from both sides.

g=3−4

Subtract 4 from 3 to get −1.

g=−1

Answer:

3(g+4)=9

or, 3(g+4)/3=9/3 [Dividing both sides by 3.]

or, g+4=3

or, g+4-4=3-4 [Subtracting 4 from both sides.]

So, g=-1

Answer:

when she subtracts 8x to 26 and dividing

Step-by-step explanation:

Step-by-step explanation:

[tex]8(x - 3) + 7 = 2x(4 - 17) \\ 8( \times - 3) + 7 = 2x( - 13) \\ 8x - 24 + 7 = - 26x \\ 8x - 17 = - 26x \\ - 17 = - 34x \\ x = \frac{1}{2} [/tex]

Answer:

234

Step-by-step explanation:

.13 x 1800 = 234

Answer:

1:2

Step-by-step explanation:

Triangle = 3

Square = 6

3/3 = 1

6/3 = 2

1:2

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25°>>>>>>>>>>>>>>>>>>>>

Answer:

RH = 8.2 units

Step-by-step explanation:

total circumference = 2rπ = 2(10)(3.14) = 62.8 units

RH = (47°/360°)(62.8) = 8.2 units

Answer:

10in by 5in

Step-by-step explanation:

PERIMETER: p=2(a+b) p=30

AREA: A=a×b A=50

2(a+b)=30

a×b=50

Answer:

The dimensions of the envelope are 5 by 10 inches.

Step-by-step explanation:

Perimeter formula for a rectangle:  P = 2W + 2L

Area formula           '    "          "         A = W*L

Here, P = 2W + 2L, so 30 in = 2W + 2L, or 15 in = W + L

Also, A = W*L, so 50 in^2 = W*L, or (if we solve this for W) W = (50 in)/L

But 15 = W + L, or 15 - L = W.  Substitute this result for W in the equation W = (50 in)/L:  

We get (50 in)/L = 15 - L

Multiplying both sides by L eliminates the fraction:

50 in = 15L - L^2, or

L^2 - 15L + 50 = 0

This factors into (L - 10)(L - 5) = 0, so L is either 10 or 5.  Because 15 - L = W, W is either 10 or 5.

The dimensions of the envelope are 5 by 10 inches.

Answer:

length= 6x

width= x

AREA= 135

solution

AREA = length times width

135 = 6x multiplied by x

135=6x^2

x^2 as subject of formula

x^2=135/6

x^2=22.5

square root both sides

x=4.74

width = 4.74

Answer:

9

Step-by-step explanation:

Answer:

Total interest paid= $33

Step-by-step explanation:

Giving the following information:

Number of periods= 11 months

Interest per month= $3

To calculate the total amount of interest paid, we need to use the following formula:

Total interest paid= number of periods*interest per period

Total interest paid= 11*3

Total interest paid= $33

Answer:

Yes, it makes a triangle.

Step-by-step explanation:

When I used a measuring stick, it does create a triangle.  

Answer:

Step-by-step explanation:

Equation for this relationship:

Number of views in 5 weeks:

Answer:

3^2 = 9

9 x 3.14 = 28.26

28.26  divided by 4 = 7.065 (round) = 7.07

Step-by-step explanation:

The area of a circle is:

A=π*(r^2)

A=π*(3^2)

Α=9π ft^2

The area of the figure is:

A=9π/4 ft^2

If it says that π=3.14 then

A=7.07 ft^2

Answer:

Solution given:

x+8=-6

x=-6-8=-14

Answer:

X = -14

Step-by-step explanation:

Answer:

180 miles/ 3 hours

Step-by-step explanation:

180 miles / 3 hours is the same as 60 miles per hour

240 miles /6 hours is the same as 45 miles per hour

90 miles / 2 hours is the same as 45 miles per hour as well

and 30 miles per hour just stays like that.

Therefore, 180 miles per  3 hours is the correct answer

Answer:

180/3

Step-by-step explanation:

Hope it helped you have a nice day!<3

There are only [tex]3[/tex] hostel rooms with guests who are less than or equal to [tex]11[/tex], as shown by the bar graph, which indicates that the majority of rooms have [tex]11[/tex] and fewer visitors.

A visitor to your house or someone you have invited to a gathering, like a party or a dinner: dinner/wedding guests. A guest is another name for an individual who is a hotel guest.

A person who is the legitimate resident of a hotel room and whose address and name are shown in the registration kept by the hotel is referred to as a hotel guest.

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Answer:

220 ways.

Step-by-step explanation:

This can be gotten by using the formula of combination in statistics.

The formula for combination is given below

nCr = n! / r!(n - r)!, where

r = total number of object, and

n = number of objects we're choosing from

Applying this to the question we have

12C3 = 12! / 3!( 12 - 3)!

12C3 = 12! / 3! * 9!

12C3 = 220

Therefore, we can choose to pack the shirts in 220 different ways

Answer:

6/6

Step-by-step explanation:

if there are 6 children, and each of them are wearing a hat, that means there are six children wearing hats, out of the six children on the bus. so the answer would be 6/6.

All 6 childrens in the bus are wearing a hat.

An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is that there are 6 children on a bus. Each child is wearing a hat.

Total number of children in the bus = 6

Number of children wearing a hat = 6

Fraction of children wearing a hat -

n = (Number of children wearing a hat/Total number of children in the bus)

n = 6/6

n = 1

Therefore, all 6 childrens in the bus are wearing a hat.

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Answer:

16 meters

Step-by-step explanation:

5+3+5+3= 16 meters