1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlada [557]
3 years ago
15

The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the he

ight above water and x is the horizontal distance in feet. If a beam of light is shone upward at an angle modeled by the equation x + y = 10, at what height from the water's surface will the beam of light hit the dolphin?
A)2.7 feet

B)3 feet

C)5 feet

D)5.6 feet

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0
We can find the answer by solving the two equations simultaneously.

equation 1: y = -0.4x^2 +3xequation 2: x + y = 10
We need to write equation to with y as the subject:equation 2: y = 10 - x

equation 1 = equation 2:
10 - x = -0.4x^2 + 3x0.4x^2 - 4x + 10 = 02x^2 - 20 + 50 = 0(2x - 10)(x - 5) = 0x = -10/2 or x = 5

But x >= 0 (the question says it's a height above the water), so x = 5

Substituting x = 5 into one of the equations:
y = 10 - x
y = 10 - 5
y = 5

So the answer is C
You might be interested in
Which table shows a proportional relationship between x and y?
Nezavi [6.7K]

Answer: A

Step-by-step explanation:

Each y value is half of the x value.

7 0
2 years ago
Analyze the pre-image ABCD. What are the vertices of the final image if T–1, –2 ◦ ry = x is applied to figure ABCD? A'' B''(3, 2
Katen [24]

No one will understand if you don't add the picture but the answer from Edgenuity is

A: (3,0)

B: (3,2)

C: (1,1)

D: (1,-1)

Your Welcome

3 0
2 years ago
Read 2 more answers
Amber had 6 cousins. Her friend Ashley has 2 fewer than 3 times as many cousins as Amber has. Which expression represents the nu
Olin [163]

Answer:

Cousins Amber has: 6

(Let no. of cousins Amber has be represented as x)

Cousins Ashley has: 3x - 2

(3 X 6)- 2

18-2

16

8 0
2 years ago
Find an equation of the line that passes through the point (-6,7) and is perpendicular to the line 12x-18y-72=0
madreJ [45]

Answer:

y=-1.5x-2

Step-by-step explanation:

18y=12x-72

3y=2x-12

y=2/3x-4

Slope=-1.5

7=-6(-1.5)+b

7=9-2

4 0
3 years ago
What two integers have a product of -35 and a sum -2
vovangra [49]

-7 and 5. The product would be -35 and the sum -2.

Hope this helps

8 0
3 years ago
Other questions:
  • Noelle's bill was $5.56 for her breakfast sandwich, plus tax. If tax is 12%, how much, in total, did she pay
    10·1 answer
  • What are the zeros of the function f(x) = 2 + 8x + 4, expressed in simplest radical form?
    7·1 answer
  • A pair of shoes usually sells for $63. If the shoes are 30% off, and sales tax is 7%, what is the total price of the shoes, incl
    14·2 answers
  • Which of the following creates 90° angles at the points of intersection and also cuts a segment into two congruent pieces?
    15·1 answer
  • The height of a trapezoid is 8 in. And its area is 64 in2. One base of the trapezoid is 6 inches longer than the other base. Wha
    6·1 answer
  • What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = (x + 1)^2 - 5.
    10·1 answer
  • In triangle ABC shown below, side AB is 8 and side AC is 6:
    5·2 answers
  • The blue segment below is a radius of 0. What is the length of the diameter<br> of the circle?
    9·1 answer
  • Chantelle has 450 pennies she puts 26 pennies in each jar. how many jars does Chantell fill. how many pennies are left over ​
    14·2 answers
  • A company that makes hair-care products had 5,000 people try a new shampoo. Of the 5,000 people, 15 had a mild allergic
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!