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Leya [2.2K]
3 years ago
12

Which of the following equations are written in standard form?

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0
Answers A, C, and D are written in standard form.

Answer B is NOT written correctly in standard form.
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For all values of x
Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0
3 years ago
1/3x12=4/3=_____ <br> Please help me figure this out
Korolek [52]
1 whole and 1/3 is the answer
8 0
3 years ago
Read 2 more answers
For a quadratic function ƒ(x)=ax2+bx+c, ƒ(−1)&lt;1, ƒ(1)&gt;−1, and ƒ(3)&lt;−4. What could be the sign of a?
denis23 [38]

Answer:

"a" must be negative

Step-by-step explanation:

The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.

The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.

Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.

4 0
3 years ago
Plssss helpppp.i need itt nowww​
Inga [223]

Answer:

cant see from the light retake the photo

Step-by-step explanation:

6 0
2 years ago
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The figure is a parallelogram.
Nonamiya [84]
I hope this helps you



m (ACD)=m (ABD)



4x+4=6x-14



2x=18


x=9



m (ACD)=4x+4 =4.9+4=40
4 0
3 years ago
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