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natima [27]
3 years ago
13

Graph the system of equations to find the solutions of x3 + 6x2 - 40x = 192. y = x3 + 6x2 - 40x y = 192 Select all of the soluti

on(s) to the equation.

Mathematics
2 answers:
STatiana [176]3 years ago
5 0
It would be x=6,−4,−<span>8, good luck</span>

kkurt [141]3 years ago
3 0

Answer:

Solution points are  ( -8 , 192 ) , ( -4 , 192 ) and  ( 6 , 192 ).

Step-by-step explanation:

Given Eqaution,

x^3+6x^2-40x=192

From the Given Equation,

We have following system of equation,

y=x^3+6x^2-40x

and y=192

We have to find the solutions of the equation by graphing them.

Graph is attached.

Solution from Graph are ( -8 , 192 ) , ( -4 , 192 ) and  ( 6 , 192 ).

Therefore, Solution points are  ( -8 , 192 ) , ( -4 , 192 ) and  ( 6 , 192 ).

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Sus subsistíais ve. D s s d d s d f
4 0
3 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0
3 years ago
Here is the third problem:)
lesya [120]

Answer:

15.0

Step-by-step explanation:

we are finidng the adjacent angle, they have given us the opposite and the missing adjacent side so we use tan

tan25=7/x

since x is at the bottom then switch

x= 7/tan25

x= 15. 012

6 0
3 years ago
Read 2 more answers
it takes trevon ten hours to clean an attic. cody can clean the same attoc in seven hours.find how long it would take them if th
Lesechka [4]
(17/70)x = 70/70(17x)/70 = 70/7017x = 70x = 70/17x ≈ 4.1176
8 0
3 years ago
A ball is thrown into the air from a height of 9cm above the ground, and its height is given by S=128+32t-16t^2, where t is the
OverLord2011 [107]
-16t² + 32t + 128 = 0
-16t² + 64t - 32t + 128 = 0
-16t(t - 4) - 32(t - 4)
(-16t - 32)(t - 4) = 0
-16t -32 = 0      t - 4 = 0
-16t = 32          t = 4
t = -2

t = -2 and t = 4 are the values that makes S = 0.
Yes, because if you apply either of  these values alone, S will be 0.
6 0
3 years ago
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