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Anni [7]
3 years ago
7

What are the solutions of the equation (2x + 3)^2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.

Mathematics
2 answers:
iris [78.8K]3 years ago
7 0
U=2x+3, x=u/2-3/2
u^2+8u+11=0
u1=(-8+sqrt(64-44))/2=-4+sqrt(5)
u2=-4-sqrt(5)
x1=u1/2-3/2=-7/2+sqrt(5)/2
x2=u2-3/2=-7/2-sqrt(5)/2

Dafna11 [192]3 years ago
7 0

Answer:

x=-7+/5 /2

Step-by-step explanation:

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PLEASE HELP ASAP IM STUCK HELP PLEASE
sasho [114]

Answer:

x>-2  and x<5

-2 <x<5

Step-by-step explanation:

We have open circles at -2 and 5 and are between the two numbers so we have and AND statement. It can be written either

x>-2  and x<5

or

-2 <x<5

6 0
3 years ago
Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangl
Yakvenalex [24]
Given:
Triangle:
height = 6ft
base = 4ft

Rectangle:
length = x
Width = 6 ft

Surface Area = 150ft²

Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²

Area of a rectangle = Surface Area - Area of a Triangle
A = 150 ft² - 12 ft² = 138 ft²

138 ft² = x * 6ft
138 ft² / 6 ft = x
23 ft = x.
6 0
2 years ago
Which describes the calculations that could be used to solve this problem? Lauren has 42 muffins to pack into boxes and bags. Sh
Marat540 [252]
The correct answer is D, 'Subtract 42 - 12. Then divide the difference by 3'. Lauren has 42 muffins, and she can put 12 of them into a box, leaving her with 30 muffins to fit into bags. If she can fit 3 muffins in each bag, and she wants to know how many bags she needs, then she needs to divide 30 by 3 to get 10. This means that she will need 10 bags of 3 muffins to completely pack 30 muffins. She started with 42, but 12 of those fit into the original box, so we don't have to worry about it.

Hope this helps!
6 0
3 years ago
Read 2 more answers
Find the square root of -36.<br> A-6<br> B 6<br> C Cannot be done
r-ruslan [8.4K]

Answer: C) Cannot be done

Taking the square root of a negative number is not possible unless you involve complex numbers. If your teacher has not introduced that topic yet, then you just simply say "cannot be done" or something along those lines.

6 0
3 years ago
Which of the following would best represent a cosine function with an amplitude of 2, a period of pi over 3, and a midline at y
OleMash [197]
C. f(x) = – 2 cos 6x + 1

Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).

Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.

Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).
3 0
2 years ago
Read 2 more answers
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