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solmaris [256]
3 years ago
13

Write 6(x - 5)^4+ 4(x - 5)^2 + 6 = 0 in the form of a quadratic by using substitution

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer:

3m^2+2m+3=0

Step-by-step explanation:

6(x - 5)^4+ 4(x - 5)^2 + 6 = 0

  • (x-5)^2= m

6m^2+4m+6=0

or

3m^2+2m+3=0

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If you can buy 1⁄3 of a box of chocolates for 6 dollars, how much can you purchase for 4 dollars? Write your answer as a fractio
lisov135 [29]
You would get 4/18 or 2/9 of a box

5 0
3 years ago
Find the exact trigonometric value:<br> sin 255
wariber [46]

Answer:

−0.965925826289068

Step-by-step explanation:

sin 255 = −0.965925826289068

6 0
3 years ago
Read 2 more answers
a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s
shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0
1 year ago
Casey wants to buy a gym membership. Gym A has a $150 joining fee and costs $35 per month. Gym B has no joining fee and costs $6
MariettaO [177]

Answer:

Step-by-step explanation:

Gym A has a $150 joining fee and costs $35 per month.

Assuming that Casey wants to attend for x months, the cost of using gym A will be

150 + 35 times x months. It becomes

150 + 35x

Gym B has no joining fee and costs $60 per month.

Again, assuming that Casey wants to attend for x months, the cost of using gym B will be

60 × x months = 60x

A) To determine the number of months that it will both gym memberships to be the same, we will equate them.

150 + 35x = 60x

60x - 35x = 150

25x = 150

x = 150/25 = 6

It will take 6 months for both gym memberships to be the same.

B) If Casey plans to only go to the gym for 5 months,

Plan A will cost 150 + 35×5 = $325

Plan B will cost 60 × 5 = $300

Plan B will be cheaper

6 0
3 years ago
What is an equivalent expression for 3(x-12)? *<br> O<br> 3x-12<br> 3x+12<br> O<br> 3x-36<br> 3x+36
Doss [256]
The correct answer is
3x - 36
7 0
2 years ago
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