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AlexFokin [52]
2 years ago
5

A fountain on a lake sprays water in a parabolic arch modeled by the equation y = -0.3x2 + 3x. A beam of light modeled by the eq

uation -2x + 5.5y = 19.5 passes through the fountain to create a rainbow effect. If the beam cuts the water spray at points A and B, such that point B is at a higher level than point A, what distance from the ground level is point A?

Mathematics
1 answer:
slava [35]2 years ago
4 0
See the attached figure.

Water model ⇒⇒⇒ y = -0.3 x² + 3x        ( blue graph )
Light model   ⇒⇒⇒ -2x + 5.5 y = 19.5    ( red graph )
The intersection between the two models A and B
A = ( 1.657 , 4.148 )
B = ( 7.13 , 6.138 )

<span>B is at a higher level than point A
</span>
<span>The distance from the ground level to point A = y-coordinate of point A
                                                                        = 4.148
</span>





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Last year Boris paid £256 for his car insurance.
jenyasd209 [6]

Answer:

The percentage increase in the cost of Boris car insurance cost is 249%

Step-by-step explanation:

In this question, we want to calculate the percentage increase in the cost of car insurance paid by Boris

Mathematically, to calculate this percentage increase, we shall need to make use of a mathematical formula.

Mathematically, the percentage increase would be;

{(new value paid-old value paid)/old value paid} * 100%

From the question, we can identify that the old value paid is £256 while the new value paid is £894

Thus, the percentage increase would be ;

(894-256)/256 * 100% = 638/256 * 100 = 2.4921875 * 100 = 249.21875 which is 249% increase to the nearest whole percentage

6 0
2 years ago
−12x−5y=40 12x−11y=88 ​ x= y=
Nezavi [6.7K]
Add the two equations and use the elimination method. The x term will "cancel out" to be able to solve for the y term.

STEP 1
−12x−5y=40
12x−11y=88 ​
x terms "cancels out"; add y terms

-16y= 128
divide both sides by -16

y= -8


STEP 2
substitute y value into either original equation

12x−11y=88 ​

12x - 11(-8)= 88

12x + 88= 88
subtract 88 from both sides

12x= 0
divide both sides by 12; 0 divided by any number is 0

x= 0


ANSWER: x= 0; y= -8

Hope this helps! :)
6 0
2 years ago
determine 4th term in the geometric sequence whose first term is -2 and whose common ratio is -5. does anyone know what this can
9966 [12]
The terms in a geometric sequence are given by: A = ar^(n-1)
where A is the nth term in the sequence.
a = first term in the sequence (-2)
r = common ratio (-5)
n = number of the term (4)

A = (-2)(-5)^(4-1)
A = (-2)(-5)^(3)
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2 years ago
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Step-by-step explanation:

Given the equation that represents this order expressed as;

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If a customer needs 150 tiles, the total number of bundles ordered can be gotten by simply substituting The number of tiles into the modeled equation and find the value of b. This is as shown below;

On substituting;

150 = 12b + 38

12b = 150 - 38

12b = 112

b = 112/12

b = 9.33

b ≈ 9 bundles

We need to round up the problem because the number of tiles can not be in fraction but as whole numbers.

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e.) The survey is meaningless because of nonresponse bias.

Step-by-step explanation:

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