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NeX [460]
3 years ago
11

If f(x) = 3 -3 and g(x) = 3x2 + x – 6, find (f + g)(x).

Mathematics
1 answer:
DanielleElmas [232]3 years ago
3 0

Answer:

D

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= \frac{x}{2} - 3 + 3x² + x - 6 ← collect like terms

= 3x² + \frac{3}{2} x - 9 → D

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Match each equation with its number of unique solutions.
Anni [7]

Answer:

y = 3x^2-6x+3    one real solution  

y = -x^2 - 4x + 7     two real solution

y = -2x^2+9x-11       two complex solutions

Step-by-step explanation:

b^2-4ac = 0   1 repeated real solution

b^2-4ac > 0   2 distinct real solutions

b^2-4ac < 0   2 complex solutions

4 0
3 years ago
In Antartica the temperature can change drastically between day and night. At 3:00 pm, the tempature was a chilly 7 degrees Cels
NikAS [45]

Answer:

T = -17\,^{\textdegree}C

Step-by-step explanation:

The temperature at 7:00 pm is:

T = 7\,^{\textdegree}C + \left(-6\,\frac{^{\textdegree}C}{h}  \right)\cdot (4\,h)

T = -17\,^{\textdegree}C

4 0
3 years ago
Find the gradient and the coordinates of the y - intercept for the graph: y= 4 + 2x
LiRa [457]
Well gradient means "slope" I just found out from searching the web.
First let's put y = 4 + 2x into slope intercept form of y = mx + b
y = 2x + 4
"m" is the slope, in this equation it would be 2.
The slope or "gradient" is 2.

The y-intercept of any equation in slope intercept form is the value of "b"
In this equation, the y-intercept is 4.
8 0
3 years ago
Read 2 more answers
Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $49. Ho
Neko [114]

Answer:

small dogs= 5

large dogs= 3

Step-by-step explanation:

Step one:

given data

let the  number of small dogs be x

and the number of large dogs be y

Ryan earns $5 for each small dog he walks and $8 for each large dog he walks.

He walked 8 dogs and made a total of $49

so

5x+8y=49----------1

x+y=8---------------2

x=8-y

5(8-y)+8y=49

40-5y+8y=49

collect like terms

3y= 49-40

3y=9

divide both sides by 3

y=9/3

y=3

put y= 3 in eqn 2

x+3=8

x=8-3

x=5

4 0
3 years ago
Help please guys if you don’t mind
dexar [7]

Answer:

slope = -2

equation y= -2x -1

y - intercept (0,-1)

5 0
3 years ago
Read 2 more answers
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