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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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2x + y < 10
ZanzabumX [31]

\left\{\begin{array}{ccc}2x+y < 10\\2x-4y > 8\end{array}\right \Rightarrow\left\{\begin{array}{ccc}y < -2x+10\\y < 0.5x-2\end{array}\right\\(1)\\y=-2x+10\\for\ x=0\to y=-2(0)+10=10\to(0;\ 10)\\for\ x=5\to y=-2(5)+10=0\to(10;\ 0)\\(2)\\y=0.5x-2\\for\ x=0\to y=0.5(0)-2=-2\to(0;\ -2)\\for\ x=4\to y=0.5(4)-2=0\to(4;\ 0)

Answer: 2) E, F, G

5 0
3 years ago
2x=56-20y<br> -16x=92-20y
Andre45 [30]
2x = 56 - 20y => x = 56/2 - 20y/2 => 28 - 10y . . . (1)
-16(28 - 10y) = 92 - 20y
-448 + 160y = 92 - 20y
160y + 20y = 92 + 448
180y = 540
y = 540/180 = 3
From (1), x = 28 - 10(3) = 28 - 30 = -2.

Therefore, x = -2 and y = 3.

6 0
4 years ago
Show that the curve y=2e^x + 3x +5x^3 has no tangent line with slope 2
Ahat [919]
Reorder 2e^x and 3x
Y=3x+2e^x+5
4 0
3 years ago
PLEASE HELP!!! WITH #’S 12,20,21
Lisa [10]

12 should be 25% just divide 10 by 40 which gives you .25 then multiply by 100 and that gives you 25%

20 should be 33.33& divide 7 by 21 that gives you .3333 muliply by 100 that gives you 33.33%

21 should be 7.5 since you multiply the percent by the whole to get the part which would be .15 multiply by 50 which is 7.5

3 0
3 years ago
Which linear inequality is represented by the graph? O y&lt;2/3x+3 (A)
KATRIN_1 [288]

Answer:

C y>2/3x+3

Step-by-step explanation:

Use y=mx+b format. The B is the y-intercept. From the y-intercept (3), go up two then to the right 3. That gives you the slope, or mx which is 2/3. The area shaded is above so it would be the greater than symbol.  

4 0
3 years ago
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