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AysviL [449]
3 years ago
13

Express in completed square form x 2 + 6x + 20

Mathematics
1 answer:
podryga [215]3 years ago
7 0

Answer:

(x + 3)² + 11

Step-by-step explanation:

Given

x² + 6x + 20

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 6x

x² + 2(3)x + 9 - 9 + 20

= (x + 3)² + 11

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F(x) = 3x + 2 and g(x) = x + 5
hjlf

Answer:

G(f(x)) = A. 3x + 7

Step-by-step explanation:

Plug F(x) into the x on G. so (3x+2) +5 = 3x+7

5 0
2 years ago
X+2y=10 6y=--3x+30 Use algebraic rules of equations to predict the solution to the system of equations.
MaRussiya [10]
X + 2y = 10 . . . (1)
6y = -3x + 30 . . . (2)

From (2), 3x + 6y = 30
3(x + 2y = 10)
3 x (1)

Since, the second equation is a multiple of the first equation, the system will have an infinitely number of solutions.
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3 years ago
#2) Jane wants to have a test average of at least 78.
Vlad [161]
She would have to score atleast a 74 on the test for her average to be 78
5 0
2 years ago
Algebra problem, please help
Mariulka [41]
6 • x + 6 • 9

I’m pretty sure this is right because you have to distribute the 6 to both of the numbers inside of the parentheses

4 0
3 years ago
Read 2 more answers
Please someone tell me the answers to these I dont remember how to do it ​
Delvig [45]

Answer:

1)  (3 - 6x)(-8) = (-8)(3) - (-8)(6x) = -24 - (-48x) = -24 + 48x = 48x - 24

2) (-12)(2x - 3) = (-12)(2x) - (-12)(3) = -24x - (-36) = -24x + 36 = 36 -  24x

3) (10 - 2x)9 = (9)(10) - (9)(2x) = 90 - 18x

4) (-5)(11x - 2) = (-5)(11x) - (-5)(2) = -55x - (-10) = -55x + 10 = 10 - 55x

5) (1 - 9x)(-10) = (-10)(1) - (-10)(9x) = -10 - (-90x) = -10 + 90x = 90x - 10

6) (-6)(x + 8) = (-6)(x) + (-6)(8) = -6x + (-48) = -6x - 48

7) (-4 + 3x)(-8) = (-8)(-4) + (-8)(3x) = 32 + (-24x) = 32 - 24x

8) (-5)(1 - 11x) = (-5)(1) - (-5)(11x) = -5 - (-55x) = -5 + 55x = 55x -5

9) (-12x + 14)(-5) = (-5)(-12x) + (-5)(14) = 60x + (-70) = 60x - 70

Step-by-step explanation:

The distributive property is a(b + c) = ab + ac

8 0
2 years ago
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