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pashok25 [27]
3 years ago
9

Julio is playing a trivia game. On his first turn, he lost 100 points. On his second turn, he lost 60 points. On his third turn,

he lost 80 points. Enter a sum of three negative integers that models the change to Julio's score after his first three turns. Enter the sum in the order of his turns.
Mathematics
1 answer:
Ivenika [448]3 years ago
4 0

Answer:

-40

Step-by-step explanation:

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Solve for x in the equation
Viktor [21]

Answer:

{x}^{2}  + 2x + 1 = 17 \\  {x}^{2}  + 2x - 16 = 0 \\ x =  \frac{ - b± \sqrt{ {b}^{2}  - 4ac} }{2a}  \\ x =  \frac{ - 2± \sqrt{68} }{2}  \\ x =  \frac{ - 2±2 \sqrt{17} }{2 }  \\ x =  - 1± \sqrt{17}

5 0
3 years ago
Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1) = 0
MissTica

Answer:

a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

Step-by-step explanation:

for the equation

(1 + x⁴) dy + x*(1 + 4y²) dx = 0

(1 + x⁴) dy  = - x*(1 + 4y²) dx

[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx

∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx

now to solve each integral

I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁

I₂=  ∫[-x/(1 + x⁴)] dx

for u= x² → du=x*dx

I₂=  ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ =  - tan⁻¹ (x²) +C₂

then

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C

for y(x=1) = 0

1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C

since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for  π*N , we will choose for simplicity N=0 . hen an explicit solution would be

1/2 * 0 = - π/4 + C

C= π/4

therefore

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

5 0
3 years ago
Daniella has a baking pan shaped like a rectangular prism. It measures 16 inches wide and 3.75 inches high. If the volume of Dan
saveliy_v [14]

Answer:

Length of prism = 17.5 in

Step-by-step explanation:

Given:

Width = 16 in

Height = = 3.75 in

Volume of rectangular prism = 1,050 inches

Find:

Length of prism

Computation:

Volume of rectangular prism = WHL

1,050 = Length of prism × 16 × 3.75

Length of prism = 17.5 in

4 0
3 years ago
Which is the equation of a line perpendicular to the line with the equation:<br>y = 1/4x + 2​
Wittaler [7]

Answer:

4x + y = k

Step-by-step explanation:

=> 4y = x + 8

=> x - 4y = -8

Slope = 1/4

The other line's slope = -4

4x + y = k is the answer.

4 0
3 years ago
I need help on 6-98 can you please help me
OLga [1]
Molly got 20 because she did not follow the order of operations, so this is incorrect. Nancy got the correct answer because she multiplied 4 * 3, and then added 2, giving her 14. Molly added 3+2, and multiplied that by 4. Nancy is correct with 14.


4 0
3 years ago
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