The expression below represents the vertical height above the ground, in meters, of a roller coaster when it is x meters away from the starting station.

x^2+6x=15

Which statement best describes the term 15?


the maximum height of the roller coaster

the horizontal distance from the station when the roller coaster is at its maximum height

the velocity of the roller coaster

the initial height of the roller coaster

Answer:

3 scoops for $3.69  is better deal.

Step-by-step explanation:

Given that,

There are 3 deals to buy icecram.

3 scoops for $3.69  

2 scoops for $2.69  

1 scoop for $1.79

We can find the cost of 1 scoop for each deal. So,

First deal,

1 scoop = 3.69/3 = $1.23

Second deal,

1 scoop = 2.69/2 = 1.345

We can see that the cost of 1 scoop for deal 1 is less than others. It means first deal is best.

Answer:

[tex]2(8x - 7)[/tex]

Step-by-step explanation:

( x + 2x - 3)(2) + (5x + 4)(2) = 2x+4x-6+10x-8

= 16x - 14

= 2(8x-7) (when factorised/simplified)

Answer:

7550 meter square

= 130 x 20

= 2600 meter square

1/2 x (130-20)m x (130-40)m

1/2 x 110m x 90m

55 x 90

4950 metre square

area of rectangle + area of triangle

4950 + 2600

7550 meter square

Answer:

$180

Step-by-step explanation:

$180

The quotient of the given fractions is 9/44.

Given that, [tex]1\frac{1}{2}\div 7\frac{1}{3}[/tex].

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

The given mixed fractions can be written as, [tex]1\frac{1}{2}=\frac{3}{2}[/tex] and [tex]7\frac{1}{3}=\frac{22}{3}[/tex]

Now, 3/2 ÷ 22/3

=3/2 × 3/22

=9/44

Therefore, the quotient of the given fractions is 9/44.

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Answer:

a)

For Section 1 -

Mode : 45 , 98

Median - 78

Mean - 73.8

Range - 65

Variance - 537.03

Standard Deviation - 23.17

For Section 2 -

Mode : 67 , 77 , 87 , 88 , 98

Median - 77

Mean - 76.4

Range - 55

Variance - 333.11

Standard Deviation - 18.25

b)

Section 2 did better overall on the exam

Step-by-step explanation:

As given,

Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94

Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98

a)  

For Section 1 -

Mode : 45 , 98

Median - 78

Mean - 73.8

Range - 65

Variance - 537.03

Standard Deviation - 23.17

For Section 2 -

Mode : 67 , 77 , 87 , 88 , 98

Median - 77

Mean - 76.4

Range - 55

Variance - 333.11

Standard Deviation - 18.25

b)

As,

Standard deviation of section 2 < Standard deviation of section 1

⇒ Students of Section 2 are more consistent.

Also,

mean of Section 2 > mean of Section 1,

⇒average score of Section 2 student > Average score of  Section 1 student.

∴ we get

Section 2 did better overall on the exam.

Answer:

They are 20 km away from each other,

Step-by-step explanation:

1cm=5km so 4cm=20km

Answer:

20km

Step-by-step explanation:

its like 1st grade math?

also im posting so you can give the other dude brainliest

Answer:

2.0

Step-by-step explanation:

Area of Shaded Region = Area of square – Area of circle

Area of square = 3×3 = 9

Area of circle = π×r² = π×1.5² ≈ 7.068

(radius of circle is half of the side length)

9–7.068≈2.0

Answer:

★ Given :

Area of triangle = x² + 8x + 12 cm²

length = (x+6)cm

★ To show :

breadth = (x+2) cm

★ Solution :

We know that,

Area of a rectangle = length × breadth

by putting values

(x² + 8x + 12) = (x+6) × breadth

by diving (x² + 8x + 12) into factors

using middle term splitting

x² + 6x + 2x + 12

x(x+6) + 2(x+6)

= (x+2)(x+6)

(x+2)(x+6) = (x+6) × breadth

Hence, verified..

Answer:

hope it helped have a good day mate

Answer:

25 students are in the chess club

Step-by-step explanation:

100×5=500

500÷20=25

I hope it's correct:)

Answer:

25 students

and how?

its 2          5         S       T      U       D          E         N        T         S

Answer:

ffhhfhhfhhfhfhfhfhhfhhfhfhfhfhfhfhfhfhfhhfhfhfhfh

Answer:

lnfadvogbfvuvgayuvgalof

Step-by-step explanation:

Answer:

39%

Step-by-step explanation:

Answer:

23.8%

Step-by-step explanation:

Step 1: Divide 142 by 596;

The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:

142/596 = 142 ÷ 596 = 0.23825503355705

Step 2: Multiply 0.23825503355705 by 100

The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:

0.23825503355705 × 100 = 23.83

Step 3: Round 23.83 to the nearest tenth

To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.

23.83 rounded to the nearest tenth = 23.8%

Answer:

494.8

Step-by-step explanation:

Volume of cylinder = 2pierh + 2pier^2

= 2*3.14*4.5*13 + 2*3.24*4.5^2

= 494.8

Answer:

we get 180 minutes; this is equivalent to 3 hours

Step-by-step explanation:

Solving this problem is easier if we convert 2 hr 30 min to min:  150 min.

In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.

We write and solve an equation of ratios:

6        x

--- = ------                          This becomes 5x = 900 through cross multiplication.

5     150

solving this for x, we get 180 minutes; this is equivalent to 3 hours.

The time taken should be 180 minutes or 3 hours.

Since there is an increase of 2 hours 30 minutes by the ratio of 6:5​

So here we convert 2 hr 30 min so it comes 150 min.

Now the time taken should be

5x = 900

x = 150 minutes

hence, The time taken should be 180 minutes or 3 hours.

Learn more about time here: https://brainly.com/question/15844891

Answer:

D

Step-by-step explanation:

We want to find:

[tex](x^2+2x-3)(4x^2-5x+6)[/tex]

Distribute:

[tex]=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)[/tex]

Distribute:

[tex]=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)[/tex]

Rearrange:

[tex]=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)[/tex]

Combine like terms:

[tex]=4x^4+3x^3-16x^2+27x-18[/tex]

The answer is D.

Answer:

5x3x2y

Step-by-step explanation:

The average rate of change for the graph is 4/3 from x = 2 to x = 5.

Lagrange mean value theorem states that, if a function f is continuous over the closed interval [a, b] and differentiable over the open interval (a, b), then there must be at least one point c in the interval (a, b) where the slope of the tangent at the point c is equal to the slope of the tangent through the curve's endpoints, resulting in the expression f'(c) = {F(b) -F(a)}/(b-a)

According to the given graph,

At point x = 2,

F(2) = 3

At point x = 5,

F(5) = 7

Since the formula for the average rate of change of the function between x = a and x = b is,

The average rate of change = {F(b) -F(a)}/(b-a)

Here a = 2, b = 5 and F(2) = 3, F(5) = 7

Substitute the values in the formula,

So the average rate of change = (7 - 3)/(5 - 2) = 4/3.

Hence, the average rate of change of the function is 4/3.

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Answer:

Step-by-step explanation:

Hope this helps!!

Answer: its 5000 i got it right

Step-by-step explanation:

Answer:

y=3/2x-17

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=3/2(x-8)

y+5=3/2(x-8)

y=3/2x-24/2-5

y=3/2x-12-5

y=3/2x-17

Answer:

The answer is b.

Step-by-step explanation:

Square root 124, you'll get 29.10, after that once you simplify it, you will get the answer and you will have to do the formula, a^2 + b^2 = c^2 since it is a triangle.

Answer:

x = 11,

m∡LMN = 124°

Step-by-step explanation:

since NO bisects ∡LMN, then ∡LMO = ∡NMO

so we can do the following to solve for 'x':

8x - 26 = 2x + 40

6x = 66

x = 11

now, plug 11 in for 'x' into either expression and double it, since ∡LMN is made up of two equal angles

8(11) - 26 = 88 - 26 = 62

62 x 2 = 124

Answer:

Account B   principle for B=400, principle for A=200

Step-by-step explanation:

Answer:

draw a right angle triangle

Step-by-step explanation:

Let one of the angles be A  

cos A = sin (90-A)  

90 - x - 20 = x  

2x = 70  

x = 35 degrees

Answer:

Step-by-step explanation:

x = 10 - 5/2y

Answer:

x = -1, 9

Step-by-step explanation:

[tex](x-4)^2=25\\x-4=\sqrt{25}\\[/tex]

x - 4 = ±5 (positive or negative 5, because (-5)^2 = 25)

x - 4 = 5

x = 9

or

x - 4  = -5

x = -1

x = -1, 9

Answer:what

Step-by-step explanation:

what

Answer:

x=38

Step-by-step explanation:

hope this helps!

if angles are on a line like that, both equations added up together will always be equal to 180.

like this:

2x-10+3x = 180

5x-10=180 (combine)

5x=190 (subtract 10 on both sides)

x=38 (divide both sides by 5)